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@@ -40,14 +40,14 @@ $jscomp.polyfill("Math.cbrt",function(r){return r?r:function(u){if(0===u)return
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(function(r){"object"===typeof exports&&"undefined"!==typeof module?module.exports=r():"function"===typeof define&&define.amd?define([],r):("undefined"!==typeof window?window:"undefined"!==typeof global?global:"undefined"!==typeof self?self:this).Astronomy=r()})(function(){return function(){function r(u,e,C){function A(N,T){if(!e[N]){if(!u[N]){var ka="function"==typeof require&&require;if(!T&&ka)return ka(N,!0);if(w)return w(N,!0);T=Error("Cannot find module '"+N+"'");throw T.code="MODULE_NOT_FOUND",
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T;}T=e[N]={exports:{}};u[N][0].call(T.exports,function(sa){return A(u[N][1][sa]||sa)},T,T.exports,r,u,e,C)}return e[N].exports}for(var w="function"==typeof require&&require,Q=0;Q<C.length;Q++)A(C[Q]);return A}return r}()({1:[function(r,u,e){function C(a){switch(a){case m.Sun:return 2.959122082855911E-4;case m.Mercury:return 4.912547451450812E-11;case m.Venus:return 7.243452486162703E-10;case m.Earth:return 8.887692390113509E-10;case m.Moon:return 1.093189565989891E-11;case m.EMB:return 8.997011346712498E-10;
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case m.Mars:return 9.549535105779258E-11;case m.Jupiter:return 2.825345909524226E-7;case m.Saturn:return 8.459715185680659E-8;case m.Uranus:return 1.292024916781969E-8;case m.Neptune:return 1.524358900784276E-8;case m.Pluto:return 2.18869976542597E-12;default:throw"Do not know mass product for body: "+a;}}function A(a){if(!0!==a&&!1!==a)throw console.trace(),"Value is not boolean: "+a;return a}function w(a){if(!Number.isFinite(a))throw console.trace(),"Value is not a finite number: "+a;return a}function Q(a){return a-
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Math.floor(a)}function N(a,b){var c=a.x*a.x+a.y*a.y+a.z*a.z;if(1E-8>Math.abs(c))throw"AngleBetween: first vector is too short.";var d=b.x*b.x+b.y*b.y+b.z*b.z;if(1E-8>Math.abs(d))throw"AngleBetween: second vector is too short.";a=(a.x*b.x+a.y*b.y+a.z*b.z)/Math.sqrt(c*d);return-1>=a?180:1<=a?0:e.RAD2DEG*Math.acos(a)}function T(a){a=jd.indexOf(a);return 0<=a?kd[a]:null}function ka(a){return(a=T(a))&&0<a.dist?a:null}function sa(a){var b=2E3+(a-14)/365.24217;if(-500>b)return a=(b-1820)/100,-20+32*a*a;
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Math.floor(a)}function N(a,b){var c=a.x*a.x+a.y*a.y+a.z*a.z;if(1E-8>Math.abs(c))throw"AngleBetween: first vector is too short.";var d=b.x*b.x+b.y*b.y+b.z*b.z;if(1E-8>Math.abs(d))throw"AngleBetween: second vector is too short.";a=(a.x*b.x+a.y*b.y+a.z*b.z)/Math.sqrt(c*d);return-1>=a?180:1<=a?0:e.RAD2DEG*Math.acos(a)}function T(a){a=kd.indexOf(a);return 0<=a?ld[a]:null}function ka(a){return(a=T(a))&&0<a.dist?a:null}function sa(a){var b=2E3+(a-14)/365.24217;if(-500>b)return a=(b-1820)/100,-20+32*a*a;
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if(500>b){a=b/100;b=a*a;var c=a*b;return 10583.6-1014.41*a+33.78311*b-5.952053*c-.1798452*b*b+.022174192*b*c+.0090316521*c*c}if(1600>b)return a=(b-1E3)/100,b=a*a,c=a*b,1574.2-556.01*a+71.23472*b+.319781*c-.8503463*b*b-.005050998*b*c+.0083572073*c*c;if(1700>b)return a=b-1600,b=a*a,120-.9808*a-.01532*b+a*b/7129;if(1800>b)return a=b-1700,b=a*a,8.83+.1603*a-.0059285*b+1.3336E-4*a*b-b*b/1174E3;if(1860>b){a=b-1800;b=a*a;c=a*b;var d=b*b;return 13.72-.332447*a+.0068612*b+.0041116*c-3.7436E-4*d+1.21272E-5*
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b*c-1.699E-7*c*c+8.75E-10*c*d}if(1900>b)return a=b-1860,b=a*a,c=a*b,7.62+.5737*a-.251754*b+.01680668*c-4.473624E-4*b*b+b*c/233174;if(1920>b)return a=b-1900,b=a*a,-2.79+1.494119*a-.0598939*b+.0061966*a*b-1.97E-4*b*b;if(1941>b)return a=b-1920,b=a*a,21.2+.84493*a-.0761*b+.0020936*a*b;if(1961>b)return a=b-1950,b=a*a,29.07+.407*a-b/233+a*b/2547;if(1986>b)return a=b-1975,b=a*a,45.45+1.067*a-b/260-a*b/718;if(2005>b)return a=b-2E3,b=a*a,c=a*b,63.86+.3345*a-.060374*b+.0017275*c+6.51814E-4*b*b+2.373599E-5*
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b*c;if(2050>b)return a=b-2E3,62.92+.32217*a+.005589*a*a;if(2150>b)return a=(b-1820)/100,-20+32*a*a-.5628*(2150-b);a=(b-1820)/100;return-20+32*a*a}function Vb(a){return a+Wb(a)/86400}function v(a){return a instanceof O?a:new O(a)}function Xb(a){a=a.tt/36525;return(((((-4.34E-8*a-5.76E-7)*a+.0020034)*a-1.831E-4)*a-46.836769)*a+84381.406)/3600}function da(a){if(!$a||1E-6<Math.abs($a.tt-a.tt)){var b=a.tt/36525;var c=(1287104.79305+1.295965810481E8*b)%1296E3*4.84813681109536E-6;var d=(335779.526232+1.7395272628478E9*
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b)%1296E3*4.84813681109536E-6,f=(450160.398036-6962890.5431*b)%1296E3*4.84813681109536E-6,g=Math.sin(f),h=Math.cos(f),l=(-172064161-174666*b)*g+33386*h,k=(92052331+9086*b)*h+15377*g;h=2*(d-(1072260.70369+1.602961601209E9*b)%1296E3*4.84813681109536E-6+f);g=Math.sin(h);h=Math.cos(h);l+=(-13170906-1675*b)*g-13696*h;k+=(5730336-3015*b)*h-4587*g;h=2*(d+f);g=Math.sin(h);h=Math.cos(h);l+=(-2276413-234*b)*g+2796*h;k+=(978459-485*b)*h+1374*g;h=2*f;g=Math.sin(h);h=Math.cos(h);l+=(2074554+207*b)*g-698*h;k+=
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(-897492+470*b)*h-291*g;g=Math.sin(c);h=Math.cos(c);c=-1.35E-4+1E-7*(l+((1475877-3633*b)*g+11817*h));b=3.88E-4+1E-7*(k+((73871-184*b)*h-1924*g));g=Xb(a);$a={tt:a.tt,dpsi:c,deps:b,ee:c*Math.cos(g*e.DEG2RAD)/15,mobl:g,tobl:g+b/3600}}return $a}function Yb(a,b){var c=a*e.DEG2RAD;a=Math.cos(c);c=Math.sin(c);return[b[0],b[1]*a-b[2]*c,b[1]*c+b[2]*a]}function ea(a){function b(D,G,P,fa){for(var L=[],ta=0;ta<=G-D;++ta){var ua=L,ub=ua.push,vb,Zb=P,ld=fa,$b=[];for(vb=0;vb<=ld-Zb;++vb)$b.push(0);ub.call(ua,{min:Zb,
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(-897492+470*b)*h-291*g;g=Math.sin(c);h=Math.cos(c);c=-1.35E-4+1E-7*(l+((1475877-3633*b)*g+11817*h));b=3.88E-4+1E-7*(k+((73871-184*b)*h-1924*g));g=Xb(a);$a={tt:a.tt,dpsi:c,deps:b,ee:c*Math.cos(g*e.DEG2RAD)/15,mobl:g,tobl:g+b/3600}}return $a}function Yb(a,b){var c=a*e.DEG2RAD;a=Math.cos(c);c=Math.sin(c);return[b[0],b[1]*a-b[2]*c,b[1]*c+b[2]*a]}function ea(a){function b(D,G,P,fa){for(var L=[],ta=0;ta<=G-D;++ta){var ua=L,ub=ua.push,vb,Zb=P,md=fa,$b=[];for(vb=0;vb<=md-Zb;++vb)$b.push(0);ub.call(ua,{min:Zb,
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array:$b})}return{min:D,array:L}}function c(D,G,P){D=D.array[G-D.min];return D.array[P-D.min]}function d(D,G,P){D=y.array[D-y.min];D.array[G-D.min]=P}function f(D,G,P){D=x.array[D-x.min];D.array[G-D.min]=P}function g(D,G,P,fa,L){L(D*P-G*fa,G*P+D*fa)}function h(D){return Math.sin(U*D)}function l(D,G,P,fa){var L={x:1,y:0};D=[0,D,G,P,fa];for(G=1;4>=G;++G)0!==D[G]&&g(L.x,L.y,c(y,D[G],G),c(x,D[G],G),function(ta,ua){return L.x=ta,L.y=ua});return L}function k(D,G,P,fa,L,ta,ua,ub){L=l(L,ta,ua,ub);q+=D*L.y;
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t+=G*L.y;ab+=P*L.x;va+=fa*L.x}++e.CalcMoonCount;a=a.tt/36525;var n,p,q,t,y=b(-6,6,1,4),x=b(-6,6,1,4);var z=a*a;var ab=t=q=0;var va=3422.7;var la=h(.19833+.05611*a);var ha=h(.27869+.04508*a);var V=h(.16827-.36903*a);var ba=h(.34734-5.37261*a);var La=h(.10498-5.37899*a);var bb=h(.42681-.41855*a),md=h(.14943-5.37511*a);var cb=.84*la+.31*ha+14.27*V+7.26*ba+.28*La+.24*bb;var wb=2.94*la+.31*ha+14.27*V+9.34*ba+1.12*La+.83*bb;var db=-6.4*la-1.89*bb;ha=.21*la+.31*ha+14.27*V-88.7*ba-15.3*La+.24*bb-1.86*md;
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t+=G*L.y;ab+=P*L.x;va+=fa*L.x}++e.CalcMoonCount;a=a.tt/36525;var n,p,q,t,y=b(-6,6,1,4),x=b(-6,6,1,4);var z=a*a;var ab=t=q=0;var va=3422.7;var la=h(.19833+.05611*a);var ha=h(.27869+.04508*a);var V=h(.16827-.36903*a);var ba=h(.34734-5.37261*a);var La=h(.10498-5.37899*a);var bb=h(.42681-.41855*a),nd=h(.14943-5.37511*a);var cb=.84*la+.31*ha+14.27*V+7.26*ba+.28*La+.24*bb;var wb=2.94*la+.31*ha+14.27*V+9.34*ba+1.12*La+.83*bb;var db=-6.4*la-1.89*bb;ha=.21*la+.31*ha+14.27*V-88.7*ba-15.3*La+.24*bb-1.86*nd;
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V=cb-db;la=-3.332E-6*h(.59734-5.37261*a)-5.39E-7*h(.35498-5.37899*a)-6.4E-8*h(.39943-5.37511*a);cb=U*Q(.60643382+1336.85522467*a-3.13E-6*z)+cb/ia;wb=U*Q(.37489701+1325.55240982*a+2.565E-5*z)+wb/ia;db=U*Q(.99312619+99.99735956*a-4.4E-7*z)+db/ia;ha=U*Q(.25909118+1342.2278298*a-8.92E-6*z)+ha/ia;La=U*Q(.82736186+1236.85308708*a-3.97E-6*z)+V/ia;for(n=1;4>=n;++n){switch(n){case 1:V=wb;z=4;ba=1.000002208;break;case 2:V=db;z=3;ba=.997504612-.002495388*a;break;case 3:V=ha;z=4;ba=1.000002708+139.978*la;break;
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case 4:V=La;z=6;ba=1;break;default:throw"Internal error: I = "+n;}d(0,n,1);d(1,n,Math.cos(V)*ba);f(0,n,0);f(1,n,Math.sin(V)*ba);for(p=2;p<=z;++p)g(c(y,p-1,n),c(x,p-1,n),c(y,1,n),c(x,1,n),function(D,G){return d(p,n,D),f(p,n,G)});for(p=1;p<=z;++p)d(-p,n,c(y,p,n)),f(-p,n,-c(x,p,n))}k(13.902,14.06,-.001,.2607,0,0,0,4);k(.403,-4.01,.394,.0023,0,0,0,3);k(2369.912,2373.36,.601,28.2333,0,0,0,2);k(-125.154,-112.79,-.725,-.9781,0,0,0,1);k(1.979,6.98,-.445,.0433,1,0,0,4);k(191.953,192.72,.029,3.0861,1,0,0,2);
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k(-8.466,-13.51,.455,-.1093,1,0,0,1);k(22639.5,22609.07,.079,186.5398,1,0,0,0);k(18.609,3.59,-.094,.0118,1,0,0,-1);k(-4586.465,-4578.13,-.077,34.3117,1,0,0,-2);k(3.215,5.44,.192,-.0386,1,0,0,-3);k(-38.428,-38.64,.001,.6008,1,0,0,-4);k(-.393,-1.43,-.092,.0086,1,0,0,-6);k(-.289,-1.59,.123,-.0053,0,1,0,4);k(-24.42,-25.1,.04,-.3,0,1,0,2);k(18.023,17.93,.007,.1494,0,1,0,1);k(-668.146,-126.98,-1.302,-.3997,0,1,0,0);k(.56,.32,-.001,-.0037,0,1,0,-1);k(-165.145,-165.06,.054,1.9178,0,1,0,-2);k(-1.877,-6.46,
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@@ -57,12 +57,12 @@ k(-8.466,-13.51,.455,-.1093,1,0,0,1);k(22639.5,22609.07,.079,186.5398,1,0,0,0);k
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.1268,2,-1,0,0);k(-.352,-.37,.001,-.0028,2,-1,0,-1);k(-2.494,-1.17,-.003,-.0017,2,-1,0,-2);k(.36,.2,-.012,-.0043,2,-1,0,-4);k(-1.167,-1.25,.008,-.0106,1,2,0,0);k(-7.412,-6.12,.117,.0484,1,2,0,-2);k(-.311,-.65,-.032,.0044,1,2,0,-4);k(.757,1.82,-.105,.0112,1,-2,0,2);k(2.58,2.32,.027,.0196,1,-2,0,0);k(2.533,2.4,-.014,-.0212,1,-2,0,-2);k(-.344,-.57,-.025,.0036,0,3,0,-2);k(-.992,-.02,0,0,1,0,2,2);k(-45.099,-.02,0,-.001,1,0,2,0);k(-.179,-9.52,0,-.0833,1,0,2,-2);k(-.301,-.33,0,.0014,1,0,2,-4);k(-6.382,-3.37,
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0,-.0481,1,0,-2,2);k(39.528,85.13,0,-.7136,1,0,-2,0);k(9.366,.71,0,-.0112,1,0,-2,-2);k(.202,.02,0,0,1,0,-2,-4);k(.415,.1,0,.0013,0,1,2,0);k(-2.152,-2.26,0,-.0066,0,1,2,-2);k(-1.44,-1.3,0,.0014,0,1,-2,2);k(.384,-.04,0,0,0,1,-2,-2);k(1.938,3.6,-.145,.0401,4,0,0,0);k(-.952,-1.58,.052,-.013,4,0,0,-2);k(-.551,-.94,.032,-.0097,3,1,0,0);k(-.482,-.57,.005,-.0045,3,1,0,-2);k(.681,.96,-.026,.0115,3,-1,0,0);k(-.297,-.27,.002,-9E-4,2,2,0,-2);k(.254,.21,-.003,0,2,-2,0,-2);k(-.25,-.22,.004,.0014,1,3,0,-2);k(-3.996,
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0,0,4E-4,2,0,2,0);k(.557,-.75,0,-.009,2,0,2,-2);k(-.459,-.38,0,-.0053,2,0,-2,2);k(-1.298,.74,0,4E-4,2,0,-2,0);k(.538,1.14,0,-.0141,2,0,-2,-2);k(.263,.02,0,0,1,1,2,0);k(.426,.07,0,-6E-4,1,1,-2,-2);k(-.304,.03,0,3E-4,1,-1,2,0);k(-.372,-.19,0,-.0027,1,-1,-2,2);k(.418,0,0,0,0,0,4,0);k(-.33,-.04,0,0,3,0,2,0);z=-526.069*l(0,0,1,-2).y;z+=-3.352*l(0,0,1,-4).y;z+=44.297*l(1,0,1,-2).y;z+=-6*l(1,0,1,-4).y;z+=20.599*l(-1,0,1,0).y;z+=-30.598*l(-1,0,1,-2).y;z+=-24.649*l(-2,0,1,0).y;z+=-2*l(-2,0,1,-2).y;z+=-22.571*
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l(0,1,1,-2).y;z+=10.985*l(0,-1,1,-2).y;q+=.82*h(.7736-62.5512*a)+.31*h(.0466-125.1025*a)+.35*h(.5785-25.1042*a)+.66*h(.4591+1335.8075*a)+.64*h(.313-91.568*a)+1.14*h(.148+1331.2898*a)+.21*h(.5918+1056.5859*a)+.44*h(.5784+1322.8595*a)+.24*h(.2275-5.7374*a)+.28*h(.2965+2.6929*a)+.33*h(.3132+6.3368*a);a=ha+t/ia;a=(1.000002708+139.978*la)*(18518.511+1.189+ab)*Math.sin(a)-6.24*Math.sin(3*a)+z;return{geo_eclip_lon:U*Q((cb+q/ia)/U),geo_eclip_lat:Math.PI/648E3*a,distance_au:ia*nd/(.999953253*va)}}function ac(a,
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l(0,1,1,-2).y;z+=10.985*l(0,-1,1,-2).y;q+=.82*h(.7736-62.5512*a)+.31*h(.0466-125.1025*a)+.35*h(.5785-25.1042*a)+.66*h(.4591+1335.8075*a)+.64*h(.313-91.568*a)+1.14*h(.148+1331.2898*a)+.21*h(.5918+1056.5859*a)+.44*h(.5784+1322.8595*a)+.24*h(.2275-5.7374*a)+.28*h(.2965+2.6929*a)+.33*h(.3132+6.3368*a);a=ha+t/ia;a=(1.000002708+139.978*la)*(18518.511+1.189+ab)*Math.sin(a)-6.24*Math.sin(3*a)+z;return{geo_eclip_lon:U*Q((cb+q/ia)/U),geo_eclip_lat:Math.PI/648E3*a,distance_au:ia*od/(.999953253*va)}}function ac(a,
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b){return[a.rot[0][0]*b[0]+a.rot[1][0]*b[1]+a.rot[2][0]*b[2],a.rot[0][1]*b[0]+a.rot[1][1]*b[1]+a.rot[2][1]*b[2],a.rot[0][2]*b[0]+a.rot[1][2]*b[1]+a.rot[2][2]*b[2]]}function wa(a,b,c){b=Ma(b,c);return ac(b,a)}function Ma(a,b){a=a.tt/36525;var c=84381.406,d=((((3.337E-7*a-4.67E-7)*a-.00772503)*a+.0512623)*a-.025754)*a+c;c*=4.84813681109536E-6;var f=((((-9.51E-8*a+1.32851E-4)*a-.00114045)*a-1.0790069)*a+5038.481507)*a*4.84813681109536E-6;d*=4.84813681109536E-6;var g=((((-5.6E-8*a+1.70663E-4)*a-.00121197)*
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a-2.3814292)*a+10.556403)*a*4.84813681109536E-6;a=Math.sin(c);c=Math.cos(c);var h=Math.sin(-f);f=Math.cos(-f);var l=Math.sin(-d);d=Math.cos(-d);var k=Math.sin(g),n=Math.cos(g);g=n*f-h*k*d;var p=n*h*c+k*d*f*c-a*k*l,q=n*h*a+k*d*f*a+c*k*l,t=-k*f-h*n*d,y=-k*h*c+n*d*f*c-a*n*l;k=-k*h*a+n*d*f*a+c*n*l;h*=l;n=-l*f*c-a*d;a=-l*f*a+d*c;if(b===F.Into2000)return new J([[g,p,q],[t,y,k],[h,n,a]]);if(b===F.From2000)return new J([[g,t,h],[p,y,n],[q,k,a]]);throw"Invalid precess direction";}function ca(a){if(!eb||eb.tt!==
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a.tt){var b=a.tt/36525,c=15*da(a).ee,d=(.779057273264+.00273781191135448*a.ut+a.ut%1)%1*360;0>d&&(d+=360);b=((c+.014506+((((-3.68E-8*b-2.9956E-5)*b-4.4E-7)*b+1.3915817)*b+4612.156534)*b)/3600+d)%360/15;0>b&&(b+=24);eb={tt:a.tt,st:b}}return eb.st}function bc(a){a=v(a);return ca(a)}function xb(a,b){var c=a.latitude*e.DEG2RAD,d=Math.sin(c);c=Math.cos(c);var f=1/Math.hypot(c,.996647180302104*d),g=a.height/1E3,h=6378.1366*f+g;b=(15*b+a.longitude)*e.DEG2RAD;a=Math.sin(b);b=Math.cos(b);return{pos:[h*c*b/
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e.KM_PER_AU,h*c*a/e.KM_PER_AU,(6335.438815127603*f+g)*d/e.KM_PER_AU],vel:[-7.292115E-5*h*c*a*86400/e.KM_PER_AU,7.292115E-5*h*c*b*86400/e.KM_PER_AU,0]}}function xa(a,b,c){b=Na(b,c);return ac(b,a)}function Na(a,b){a=da(a);var c=a.mobl*e.DEG2RAD,d=a.tobl*e.DEG2RAD,f=4.84813681109536E-6*a.dpsi;a=Math.cos(c);c=Math.sin(c);var g=Math.cos(d),h=Math.sin(d);d=Math.cos(f);var l=Math.sin(f);f=-l*a;var k=-l*c,n=l*g,p=d*a*g+c*h,q=d*c*g-a*h;l*=h;var t=d*a*h-c*g;a=d*c*h+a*g;if(b===F.From2000)return new J([[d,n,
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l],[f,p,t],[k,q,a]]);if(b===F.Into2000)return new J([[d,f,k],[n,p,q],[l,t,a]]);throw"Invalid precess direction";}function fb(a,b,c){return c===F.Into2000?wa(xa(a,b,c),b,c):xa(wa(a,b,c),b,c)}function cc(a,b){var c=ca(a);b=xb(b,c).pos;return fb(b,a,F.Into2000)}function od(a){if(!(a instanceof Array)||3!==a.length)return!1;for(var b=0;3>b;++b){if(!(a[b]instanceof Array)||3!==a[b].length)return!1;for(var c=0;3>c;++c)if(!Number.isFinite(a[b][c]))return!1}return!0}function yb(a,b){return new E(a[0],a[1],
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l],[f,p,t],[k,q,a]]);if(b===F.Into2000)return new J([[d,f,k],[n,p,q],[l,t,a]]);throw"Invalid precess direction";}function fb(a,b,c){return c===F.Into2000?wa(xa(a,b,c),b,c):xa(wa(a,b,c),b,c)}function cc(a,b){var c=ca(a);b=xb(b,c).pos;return fb(b,a,F.Into2000)}function pd(a){if(!(a instanceof Array)||3!==a.length)return!1;for(var b=0;3>b;++b){if(!(a[b]instanceof Array)||3!==a[b].length)return!1;for(var c=0;3>c;++c)if(!Number.isFinite(a[b][c]))return!1}return!0}function yb(a,b){return new E(a[0],a[1],
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a[2],b)}function dc(a,b){b=yb(a,b);var c=b.x*b.x+b.y*b.y,d=Math.sqrt(c+b.z*b.z);if(0===c){if(0===b.z)throw"Indeterminate sky coordinates";return new gb(0,0>b.z?-90:90,d,b)}var f=e.RAD2HOUR*Math.atan2(b.y,b.x);0>f&&(f+=24);return new gb(f,e.RAD2DEG*Math.atan2(a[2],Math.sqrt(c)),d,b)}function ya(a,b){var c=a*e.DEG2RAD;a=Math.cos(c);c=Math.sin(c);return[a*b[0]+c*b[1],a*b[1]-c*b[0],b[2]]}function hb(a,b,c,d,f){a=v(a);za(b);w(c);w(d);var g=Math.sin(b.latitude*e.DEG2RAD),h=Math.cos(b.latitude*e.DEG2RAD),
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l=Math.sin(b.longitude*e.DEG2RAD),k=Math.cos(b.longitude*e.DEG2RAD);b=Math.sin(d*e.DEG2RAD);var n=Math.cos(d*e.DEG2RAD),p=Math.sin(c*e.HOUR2RAD),q=Math.cos(c*e.HOUR2RAD),t=[h*k,h*l,g];g=[-g*k,-g*l,h];l=[l,-k,0];h=-15*ca(a);a=ya(h,t);t=ya(h,g);l=ya(h,l);b=[n*q,n*p,b];p=b[0]*a[0]+b[1]*a[1]+b[2]*a[2];n=b[0]*t[0]+b[1]*t[1]+b[2]*t[2];t=b[0]*l[0]+b[1]*l[1]+b[2]*l[2];q=Math.hypot(n,t);0<q?(n=-e.RAD2DEG*Math.atan2(t,n),0>n&&(n+=360)):n=0;p=e.RAD2DEG*Math.atan2(q,p);q=d;if(f&&(d=p,f=Oa(f,90-p),p-=f,0<f&&3E-4<
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p)){c=Math.sin(p*e.DEG2RAD);q=Math.cos(p*e.DEG2RAD);t=Math.sin(d*e.DEG2RAD);d=Math.cos(d*e.DEG2RAD);f=[];for(l=0;3>l;++l)f.push((b[l]-d*a[l])/t*c+a[l]*q);q=Math.hypot(f[0],f[1]);0<q?(c=e.RAD2HOUR*Math.atan2(f[1],f[0]),0>c&&(c+=24)):c=0;q=e.RAD2DEG*Math.atan2(f[2],q)}return new ec(n,90-p,c,q)}function za(a){if(!(a instanceof zb))throw"Not an instance of the Observer class: "+a;w(a.latitude);w(a.longitude);w(a.height);if(-90>a.latitude||90<a.latitude)throw"Latitude "+a.latitude+" is out of range. Must be -90..+90.";
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@@ -78,26 +78,26 @@ g=g.next().value;d=new X(a,new B(d,f,c),new B(b,h,g));a=new Da(d.tt);f=d.r.add(a
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1]).grav;g=d[200].tt;var h=[];h[200]=d[200];for(f=199;0<f;--f)h[f]=Fb(g-=146,h[f+1]).grav;for(f=199;0<f;--f)g=f/200,d[f].r=d[f].r.mul(1-g).add(h[f].r.mul(g)),d[f].v=d[f].v.mul(1-g).add(h[f].v.mul(g)),d[f].a=d[f].a.mul(1-g).add(h[f].a.mul(g))}c=Ib[c]}if(d=c){f=jc((a.tt-d[0].tt)/146,200);c=d[f];g=d[f+1];var l=c.a.mean(g.a);f=Ca(a.tt-c.tt,c.r,c.v,l);d=Eb(a.tt-c.tt,c.v,l);h=Ca(a.tt-g.tt,g.r,g.v,l);g=Eb(a.tt-g.tt,g.v,l);l=(a.tt-c.tt)/146;c=f.mul(1-l).add(h.mul(l));d=d.mul(1-l).add(g.mul(l))}else{var k=
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a.tt<na[0][0]?kc(na[0],a.tt,-146):kc(na[50],a.tt,146);c=k.grav.r;d=k.grav.v;k=k.bary}b&&(k||(k=new Da(a.tt)),c=c.sub(k.Sun.r),d=d.sub(k.Sun.v));return new I(c.x,c.y,c.z,d.x,d.y,d.z,a)}function kb(a,b){for(var c=a.tt+18262.5,d=[0,b.al[0]+c*b.al[1],0,0,0,0],f=$jscomp.makeIterator(b.a),g=f.next();!g.done;g=f.next()){var h=$jscomp.makeIterator(g.value);g=h.next().value;var l=h.next().value;h=h.next().value;d[0]+=g*Math.cos(l+c*h)}f=$jscomp.makeIterator(b.l);for(g=f.next();!g.done;g=f.next())h=$jscomp.makeIterator(g.value),
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g=h.next().value,l=h.next().value,h=h.next().value,d[1]+=g*Math.sin(l+c*h);d[1]%=U;0>d[1]&&(d[1]+=U);f=$jscomp.makeIterator(b.z);for(g=f.next();!g.done;g=f.next())h=$jscomp.makeIterator(g.value),g=h.next().value,l=h.next().value,h=h.next().value,l+=c*h,d[2]+=g*Math.cos(l),d[3]+=g*Math.sin(l);f=$jscomp.makeIterator(b.zeta);for(g=f.next();!g.done;g=f.next())h=$jscomp.makeIterator(g.value),g=h.next().value,l=h.next().value,h=h.next().value,l+=c*h,d[4]+=g*Math.cos(l),d[5]+=g*Math.sin(l);f=d[0];h=d[1];
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g=d[2];l=d[3];c=d[4];d=d[5];var k=Math.sqrt(b.mu/(f*f*f));b=h+g*Math.sin(h)-l*Math.cos(h);do{var n=Math.cos(b);var p=Math.sin(b);n=(h-b+g*p-l*n)/(1-g*n-l*p);b+=n}while(1E-12<=Math.abs(n));n=Math.cos(b);p=Math.sin(b);h=l*n-g*p;var q=-g*n-l*p,t=1/(1+q),y=1/(1+Math.sqrt(1-g*g-l*l));b=f*(n-g-y*l*h);h=f*(p-l+y*g*h);l=k*t*f*(-p-y*l*q);f=k*t*f*(+n+y*g*q);g=2*Math.sqrt(1-c*c-d*d);k=1-2*d*d;n=1-2*c*c;p=2*d*c;a=new I(b*k+h*p,b*p+h*n,(c*h-b*d)*g,l*k+f*p,l*p+f*n,(c*f-l*d)*g,a);return Ea(pd,a)}function Z(a,b){b=
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g=d[2];l=d[3];c=d[4];d=d[5];var k=Math.sqrt(b.mu/(f*f*f));b=h+g*Math.sin(h)-l*Math.cos(h);do{var n=Math.cos(b);var p=Math.sin(b);n=(h-b+g*p-l*n)/(1-g*n-l*p);b+=n}while(1E-12<=Math.abs(n));n=Math.cos(b);p=Math.sin(b);h=l*n-g*p;var q=-g*n-l*p,t=1/(1+q),y=1/(1+Math.sqrt(1-g*g-l*l));b=f*(n-g-y*l*h);h=f*(p-l+y*g*h);l=k*t*f*(-p-y*l*q);f=k*t*f*(+n+y*g*q);g=2*Math.sqrt(1-c*c-d*d);k=1-2*d*d;n=1-2*c*c;p=2*d*c;a=new I(b*k+h*p,b*p+h*n,(c*h-b*d)*g,l*k+f*p,l*p+f*n,(c*f-l*d)*g,a);return Ea(qd,a)}function Z(a,b){b=
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v(b);if(a in M)return Aa(M[a],b);if(a===m.Pluto)return a=Hb(b,!0),new E(a.x,a.y,a.z,b);if(a===m.Sun)return new E(0,0,0,b);if(a===m.Moon){a=Aa(M.Earth,b);var c=Y(b);return new E(a.x+c.x,a.y+c.y,a.z+c.z,b)}if(a===m.EMB)return a=Aa(M.Earth,b),c=Y(b),new E(a.x+c.x/82.30056,a.y+c.y/82.30056,a.z+c.z/82.30056,b);if(a===m.SSB)return a=new E(0,0,0,b),jb(a,b,m.Jupiter,2.825345909524226E-7),jb(a,b,m.Saturn,8.459715185680659E-8),jb(a,b,m.Uranus,1.292024916781969E-8),jb(a,b,m.Neptune,1.524358900784276E-8),a;if(c=
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ka(a))return a=new Ba(c.dec,15*c.ra,c.dist),lb(a,b);throw'HelioVector: Unknown body "'+a+'"';}function oa(a,b){var c=ka(a);if(c)return c.dist;b=v(b);return a in M?ma(M[a][2],b.tt/365250,!1):Z(a,b).Length()}function lc(a,b){for(var c=b,d=0,f=0;10>f;++f){var g=a(c);d=g.Length()/e.C_AUDAY;if(1<d)throw"Object is too distant for light-travel solver.";var h=b.AddDays(-d);d=Math.abs(h.tt-c.tt);if(1E-9>d)return g;c=h}throw"Light-travel time solver did not converge: dt = "+d;}function mc(a,b,c,d){A(d);a=v(a);
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if(ka(c)){c=Z(c,a);if(d)return b=mb(b,a),d=new E(c.x-b.x,c.y-b.y,c.z-b.z,a),c=e.C_AUDAY/d.Length(),new E(d.x+b.vx/c,d.y+b.vy/c,d.z+b.vz/c,a);b=Z(b,a);return new E(c.x-b.x,c.y-b.y,c.z-b.z,a)}var f=d?new E(0,0,0,a):Z(b,a);var g=new nc(b,c,d,f);return lc(function(h){return g.Position(h)},a)}function W(a,b,c){A(c);b=v(b);switch(a){case m.Earth:return new E(0,0,0,b);case m.Moon:return Y(b);default:return a=mc(b,m.Earth,a,c),a.t=b,a}}function pa(a,b){return new I(a.r.x,a.r.y,a.r.z,a.v.x,a.v.y,a.v.z,b)}
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function mb(a,b){b=v(b);switch(a){case m.Sun:return new I(0,0,0,0,0,0,b);case m.SSB:return a=new Da(b.tt),new I(-a.Sun.r.x,-a.Sun.r.y,-a.Sun.r.z,-a.Sun.v.x,-a.Sun.v.y,-a.Sun.v.z,b);case m.Mercury:case m.Venus:case m.Earth:case m.Mars:case m.Jupiter:case m.Saturn:case m.Uranus:case m.Neptune:return a=Sa(M[a],b.tt),pa(a,b);case m.Pluto:return Hb(b,!0);case m.Moon:case m.EMB:var c=Sa(M.Earth,b.tt);a=a==m.Moon?Ra(b):Bb(b);return new I(a.x+c.r.x,a.y+c.r.y,a.z+c.r.z,a.vx+c.v.x,a.vy+c.v.y,a.vz+c.v.z,b);
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default:if(ka(a))return a=Z(a,b),new I(a.x,a.y,a.z,0,0,0,b);throw'HelioState: Unsupported body "'+a+'"';}}function qd(a,b,c,d,f){var g=(f+c)/2-d;c=(f-c)/2;if(0==g){if(0==c)return null;d=-d/c;if(-1>d||1<d)return null}else{d=c*c-4*g*d;if(0>=d)return null;f=Math.sqrt(d);d=(-c+f)/(2*g);f=(-c-f)/(2*g);if(-1<=d&&1>=d){if(-1<=f&&1>=f)return null}else if(-1<=f&&1>=f)d=f;else return null}return{t:a+d*b,df_dt:(2*g*d+c)/b}}function K(a,b,c,d){var f=w(d&&d.dt_tolerance_seconds||1);f=Math.abs(f/86400);var g=d&&
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d.init_f1||a(b),h=d&&d.init_f2||a(c),l=NaN,k=0;d=d&&d.iter_limit||20;for(var n=!0;;){if(++k>d)throw"Excessive iteration in Search()";var p=new O(b.ut+.5*(c.ut-b.ut)),q=p.ut-b.ut;if(Math.abs(q)<f)return p;n?l=a(p):n=!0;var t=qd(p.ut,c.ut-p.ut,g,l,h);if(t){var y=v(t.t),x=a(y);if(0!==t.df_dt){if(Math.abs(x/t.df_dt)<f)return y;t=1.2*Math.abs(x/t.df_dt);if(t<q/10&&(q=y.AddDays(-t),y=y.AddDays(+t),0>(q.ut-b.ut)*(q.ut-c.ut)&&0>(y.ut-b.ut)*(y.ut-c.ut))){t=a(q);var z=a(y);if(0>t&&0<=z){g=t;h=z;b=q;c=y;l=x;
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default:if(ka(a))return a=Z(a,b),new I(a.x,a.y,a.z,0,0,0,b);throw'HelioState: Unsupported body "'+a+'"';}}function rd(a,b,c,d,f){var g=(f+c)/2-d;c=(f-c)/2;if(0==g){if(0==c)return null;d=-d/c;if(-1>d||1<d)return null}else{d=c*c-4*g*d;if(0>=d)return null;f=Math.sqrt(d);d=(-c+f)/(2*g);f=(-c-f)/(2*g);if(-1<=d&&1>=d){if(-1<=f&&1>=f)return null}else if(-1<=f&&1>=f)d=f;else return null}return{t:a+d*b,df_dt:(2*g*d+c)/b}}function K(a,b,c,d){var f=w(d&&d.dt_tolerance_seconds||1);f=Math.abs(f/86400);var g=d&&
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d.init_f1||a(b),h=d&&d.init_f2||a(c),l=NaN,k=0;d=d&&d.iter_limit||20;for(var n=!0;;){if(++k>d)throw"Excessive iteration in Search()";var p=new O(b.ut+.5*(c.ut-b.ut)),q=p.ut-b.ut;if(Math.abs(q)<f)return p;n?l=a(p):n=!0;var t=rd(p.ut,c.ut-p.ut,g,l,h);if(t){var y=v(t.t),x=a(y);if(0!==t.df_dt){if(Math.abs(x/t.df_dt)<f)return y;t=1.2*Math.abs(x/t.df_dt);if(t<q/10&&(q=y.AddDays(-t),y=y.AddDays(+t),0>(q.ut-b.ut)*(q.ut-c.ut)&&0>(y.ut-b.ut)*(y.ut-c.ut))){t=a(q);var z=a(y);if(0>t&&0<=z){g=t;h=z;b=q;c=y;l=x;
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n=!1;continue}}}}if(0>g&&0<=l)c=p,h=l;else if(0>l&&0<=h)b=p,g=l;else return null}}function Fa(a){for(;-180>=a;)a+=360;for(;180<a;)a-=360;return a}function Ga(a){for(;0>a;)a+=360;for(;360<=a;)a-=360;return a}function oc(a,b,c){w(a);w(c);b=v(b);c=b.AddDays(c);return K(function(d){d=fc(d);return Fa(d.elon-a)},b,c,{dt_tolerance_seconds:.01})}function Jb(a,b,c){if(a===m.Earth||b===m.Earth)throw"The Earth does not have a longitude as seen from itself.";c=v(c);a=W(a,c,!1);a=Qa(a);b=W(b,c,!1);b=Qa(b);return Ga(a.elon-
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b.elon)}function Ha(a,b){if(a==m.Earth)throw"The Earth does not have an angle as seen from itself.";var c=v(b);b=W(m.Sun,c,!0);a=W(a,c,!0);return N(b,a)}function qa(a,b){if(a===m.Sun)throw"Cannot calculate heliocentric longitude of the Sun.";a=Z(a,b);return Qa(a).elon}function nb(a,b){if(a===m.Earth)throw"The illumination of the Earth is not defined.";var c=v(b),d=Aa(M.Earth,c);if(a===m.Sun){var f=new E(-d.x,-d.y,-d.z,c);b=new E(0,0,0,c);d=0}else a===m.Moon?(f=Y(c),b=new E(d.x+f.x,d.y+f.y,d.z+f.z,
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c)):(b=Z(a,b),f=new E(b.x-d.x,b.y-d.y,b.z-d.z,c)),d=N(f,b);var g=f.Length(),h=b.Length();if(a===m.Sun)var l=rd+5*Math.log10(g);else if(a===m.Moon)a=d*e.DEG2RAD,l=a*a,a=-12.717+1.49*Math.abs(a)+.0431*l*l,l=a+=5*Math.log10(g/(385000.6/e.KM_PER_AU)*h);else if(a===m.Saturn){var k=d;a=Qa(f);l=28.06*e.DEG2RAD;var n=e.DEG2RAD*a.elat;a=Math.asin(Math.sin(n)*Math.cos(l)-Math.cos(n)*Math.sin(l)*Math.sin(e.DEG2RAD*a.elon-e.DEG2RAD*(169.51+3.82E-5*c.tt)));l=Math.sin(Math.abs(a));k=-9+.044*k+l*(-2.6+1.2*l)+5*
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c)):(b=Z(a,b),f=new E(b.x-d.x,b.y-d.y,b.z-d.z,c)),d=N(f,b);var g=f.Length(),h=b.Length();if(a===m.Sun)var l=sd+5*Math.log10(g);else if(a===m.Moon)a=d*e.DEG2RAD,l=a*a,a=-12.717+1.49*Math.abs(a)+.0431*l*l,l=a+=5*Math.log10(g/(385000.6/e.KM_PER_AU)*h);else if(a===m.Saturn){var k=d;a=Qa(f);l=28.06*e.DEG2RAD;var n=e.DEG2RAD*a.elat;a=Math.asin(Math.sin(n)*Math.cos(l)-Math.cos(n)*Math.sin(l)*Math.sin(e.DEG2RAD*a.elon-e.DEG2RAD*(169.51+3.82E-5*c.tt)));l=Math.sin(Math.abs(a));k=-9+.044*k+l*(-2.6+1.2*l)+5*
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Math.log10(h*g);a*=e.RAD2DEG;l=k;k=a}else{var p=n=l=0;switch(a){case m.Mercury:a=-.6;l=4.98;n=-4.88;p=3.02;break;case m.Venus:163.6>d?(a=-4.47,l=1.03,n=.57,p=.13):(a=.98,l=-1.02);break;case m.Mars:a=-1.52;l=1.6;break;case m.Jupiter:a=-9.4;l=.5;break;case m.Uranus:a=-7.19;l=.25;break;case m.Neptune:a=-6.87;break;case m.Pluto:a=-1;l=4;break;default:throw"VisualMagnitude: unsupported body "+a;}var q=d/100;l=a+q*(l+q*(n+q*p))+5*Math.log10(h*g)}return new pc(c,l,d,h,g,f,b,k)}function Va(a){if(a===m.Earth)throw"The Earth does not have a synodic period as seen from itself.";
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if(a===m.Moon)return 29.530588;var b=aa[a];if(!b)throw"Not a valid planet name: "+a;a=aa.Earth.OrbitalPeriod;return Math.abs(a/(a/b.OrbitalPeriod-1))}function Ia(a,b,c){function d(n){var p=qa(a,n);n=qa(m.Earth,n);return Fa(g*(n-p)-b)}w(b);var f=aa[a];if(!f)throw"Cannot search relative longitude because body is not a planet: "+a;if(a===m.Earth)throw"Cannot search relative longitude for the Earth (it is always 0)";var g=f.OrbitalPeriod>aa.Earth.OrbitalPeriod?1:-1;f=Va(a);c=v(c);var h=d(c);0<h&&(h-=
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360);for(var l=0;100>l;++l){var k=-h/360*f;c=c.AddDays(k);if(1>86400*Math.abs(k))return c;k=h;h=d(c);30>Math.abs(k)&&k!==h&&(k/=k-h,.5<k&&2>k&&(f*=k))}throw"Relative longitude search failed to converge for "+a+" near "+c.toString()+" (error_angle = "+h+").";}function Kb(a){return Jb(m.Moon,m.Sun,a)}function Wa(a,b,c){function d(l){l=Kb(l);return Fa(l-a)}w(a);w(c);b=v(b);var f=d(b);if(0>c){0>f&&(f+=360);var g=-(29.530588*f)/360;f=g+1.5;if(f<c)return null;var h=Math.max(c,g-1.5)}else{0<f&&(f-=360);
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g=-(29.530588*f)/360;h=g-1.5;if(h>c)return null;f=Math.min(c,g+1.5)}c=b.AddDays(h);b=b.AddDays(f);return K(d,c,b,{dt_tolerance_seconds:.1})}function qc(a){var b=Kb(a);b=(Math.floor(b/90)+1)%4;a=Wa(90*b,a,10);if(!a)throw"Cannot find moon quarter";return new rc(b,a)}function Lb(a,b,c,d,f,g,h){if(0>g&&0<=h)return new sd(d,f,g,h);if(0<=g&&0>h)return null;if(17<a)throw"Excessive recursion in rise/set ascent search.";var l=f.ut-d.ut;if(1>86400*l||Math.min(Math.abs(g),Math.abs(h))>l/2*c)return null;l=new O((d.ut+
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f.ut)/2);var k=b(l);return Lb(1+a,b,c,d,l,g,k)||Lb(1+a,b,c,l,f,k,h)}function td(a,b){if(-90>b||90<b)throw"Invalid geographic latitude: "+b;switch(a){case m.Moon:a=4.5;var c=8.2;break;case m.Sun:a=.8;c=.5;break;case m.Mercury:a=-1.6;c=1;break;case m.Venus:a=-.8;c=.6;break;case m.Mars:a=-.5;c=.4;break;case m.Jupiter:case m.Saturn:case m.Uranus:case m.Neptune:case m.Pluto:a=-.2;c=.2;break;case m.Star1:case m.Star2:case m.Star3:case m.Star4:case m.Star5:case m.Star6:case m.Star7:case m.Star8:a=-.008;
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c=.008;break;default:throw"Body not allowed for altitude search: "+a;}b*=e.DEG2RAD;return Math.abs((360.98564540070413-a)*Math.cos(b))+Math.abs(c*Math.sin(b))}function sc(a,b,c,d,f,g,h){function l(x){var z=Pa(a,x,b,!0,!0);x=hb(x,b,z.ra,z.dec).altitude+e.RAD2DEG*Math.asin(g/z.dist);return c*(x-h)}za(b);w(f);w(g);w(h);if(-90>h||90<h)throw"Invalid target altitude angle: "+h;for(var k=td(a,b.latitude),n=d=v(d),p=d,q=l(n),t=q;;){0>f?(n=p.AddDays(-.42),q=l(n)):(p=n.AddDays(.42),t=l(p));var y=Lb(0,l,k,n,
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g=-(29.530588*f)/360;h=g-1.5;if(h>c)return null;f=Math.min(c,g+1.5)}c=b.AddDays(h);b=b.AddDays(f);return K(d,c,b,{dt_tolerance_seconds:.1})}function qc(a){var b=Kb(a);b=(Math.floor(b/90)+1)%4;a=Wa(90*b,a,10);if(!a)throw"Cannot find moon quarter";return new rc(b,a)}function Lb(a,b,c,d,f,g,h){if(0>g&&0<=h)return new td(d,f,g,h);if(0<=g&&0>h)return null;if(17<a)throw"Excessive recursion in rise/set ascent search.";var l=f.ut-d.ut;if(1>86400*l||Math.min(Math.abs(g),Math.abs(h))>l/2*c)return null;l=new O((d.ut+
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f.ut)/2);var k=b(l);return Lb(1+a,b,c,d,l,g,k)||Lb(1+a,b,c,l,f,k,h)}function ud(a,b){if(-90>b||90<b)throw"Invalid geographic latitude: "+b;switch(a){case m.Moon:a=4.5;var c=8.2;break;case m.Sun:a=.8;c=.5;break;case m.Mercury:a=-1.6;c=1;break;case m.Venus:a=-.8;c=.6;break;case m.Mars:a=-.5;c=.4;break;case m.Jupiter:case m.Saturn:case m.Uranus:case m.Neptune:case m.Pluto:a=-.2;c=.2;break;case m.Star1:case m.Star2:case m.Star3:case m.Star4:case m.Star5:case m.Star6:case m.Star7:case m.Star8:a=-.008;
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c=.008;break;default:throw"Body not allowed for altitude search: "+a;}b*=e.DEG2RAD;return Math.abs((360.98564540070413-a)*Math.cos(b))+Math.abs(c*Math.sin(b))}function sc(a,b,c,d,f,g,h){function l(x){var z=Pa(a,x,b,!0,!0);x=hb(x,b,z.ra,z.dec).altitude+e.RAD2DEG*Math.asin(g/z.dist);return c*(x-h)}za(b);w(f);w(g);w(h);if(-90>h||90<h)throw"Invalid target altitude angle: "+h;for(var k=ud(a,b.latitude),n=d=v(d),p=d,q=l(n),t=q;;){0>f?(n=p.AddDays(-.42),q=l(n)):(p=n.AddDays(.42),t=l(p));var y=Lb(0,l,k,n,
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p,q,t);if(y){if(k=K(l,y.tx,y.ty,{dt_tolerance_seconds:.1,init_f1:y.ax,init_f2:y.ay})){if(0>f){if(k.ut<d.ut+f)return null}else if(k.ut>d.ut+f)return null;return k}throw"Rise/set search failed after finding ascent: t1="+n+", t2="+p+", a1="+q+", a2="+t;}if(0>f){if(n.ut<d.ut+f)return null;p=n;t=q}else{if(p.ut>d.ut+f)return null;n=p;q=t}}}function tc(a,b){b=v(b);var c=Jb(a,m.Sun,b);if(180<c){var d="morning";c=360-c}else d="evening";a=Ha(a,b);return new uc(b,d,a,c)}function vc(a){function b(l){var k=l.AddDays(-5E-4);
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l=l.AddDays(5E-4);k=ea(k).distance_au;return(ea(l).distance_au-k)/.001}function c(l){return-b(l)}a=v(a);for(var d=b(a),f=0;59.061176>5*f;++f){var g=a.AddDays(5),h=b(g);if(0>=d*h){if(0>d||0<h){a=K(b,a,g,{init_f1:d,init_f2:h});if(!a)throw"SearchLunarApsis INTERNAL ERROR: perigee search failed!";d=ea(a).distance_au;return new Xa(a,0,d)}if(0<d||0>h){a=K(c,a,g,{init_f1:-d,init_f2:-h});if(!a)throw"SearchLunarApsis INTERNAL ERROR: apogee search failed!";d=ea(a).distance_au;return new Xa(a,1,d)}throw"SearchLunarApsis INTERNAL ERROR: cannot classify apsis event!";
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}a=g;d=h}throw"SearchLunarApsis INTERNAL ERROR: could not find apsis within 2 synodic months of start date.";}function wc(a,b,c,d){for(var f=b===Ja.Apocenter?1:-1;;){d/=9;if(d<1/1440)return c=c.AddDays(d/2),a=oa(a,c),new Xa(c,b,a);for(var g=-1,h=0,l=0;10>l;++l){var k=c.AddDays(l*d);k=f*oa(a,k);if(0==l||k>h)g=l,h=k}c=c.AddDays((g-1)*d);d*=2}}function ud(a,b){var c=b.AddDays(-30/360*aa[a].OrbitalPeriod),d=b.AddDays(.75*aa[a].OrbitalPeriod),f=c,g=c,h=-1,l=-1;d=(d.ut-c.ut)/99;for(var k=0;100>k;++k){var n=
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c.AddDays(k*d),p=oa(a,n);0===k?l=h=p:(p>l&&(l=p,g=n),p<h&&(h=p,f=n))}c=wc(a,0,f.AddDays(-2*d),4*d);a=wc(a,1,g.AddDays(-2*d),4*d);if(c.time.tt>=b.tt)return a.time.tt>=b.tt&&a.time.tt<c.time.tt?a:c;if(a.time.tt>=b.tt)return a;throw"Internal error: failed to find Neptune apsis.";}function xc(a,b){function c(p){var q=p.AddDays(-5E-4);p=p.AddDays(5E-4);q=oa(a,q);return(oa(a,p)-q)/.001}function d(p){return-c(p)}b=v(b);if(a===m.Neptune||a===m.Pluto)return ud(a,b);for(var f=aa[a].OrbitalPeriod,g=f/6,h=c(b),
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}a=g;d=h}throw"SearchLunarApsis INTERNAL ERROR: could not find apsis within 2 synodic months of start date.";}function wc(a,b,c,d){for(var f=b===Ja.Apocenter?1:-1;;){d/=9;if(d<1/1440)return c=c.AddDays(d/2),a=oa(a,c),new Xa(c,b,a);for(var g=-1,h=0,l=0;10>l;++l){var k=c.AddDays(l*d);k=f*oa(a,k);if(0==l||k>h)g=l,h=k}c=c.AddDays((g-1)*d);d*=2}}function vd(a,b){var c=b.AddDays(-30/360*aa[a].OrbitalPeriod),d=b.AddDays(.75*aa[a].OrbitalPeriod),f=c,g=c,h=-1,l=-1;d=(d.ut-c.ut)/99;for(var k=0;100>k;++k){var n=
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c.AddDays(k*d),p=oa(a,n);0===k?l=h=p:(p>l&&(l=p,g=n),p<h&&(h=p,f=n))}c=wc(a,0,f.AddDays(-2*d),4*d);a=wc(a,1,g.AddDays(-2*d),4*d);if(c.time.tt>=b.tt)return a.time.tt>=b.tt&&a.time.tt<c.time.tt?a:c;if(a.time.tt>=b.tt)return a;throw"Internal error: failed to find Neptune apsis.";}function xc(a,b){function c(p){var q=p.AddDays(-5E-4);p=p.AddDays(5E-4);q=oa(a,q);return(oa(a,p)-q)/.001}function d(p){return-c(p)}b=v(b);if(a===m.Neptune||a===m.Pluto)return vd(a,b);for(var f=aa[a].OrbitalPeriod,g=f/6,h=c(b),
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l=0;l*g<2*f;++l){var k=b.AddDays(g),n=c(k);if(0>=h*n){f=g=void 0;if(0>h||0<n)g=c,f=Ja.Pericenter;else if(0<h||0>n)g=d,f=Ja.Apocenter;else throw"Internal error with slopes in SearchPlanetApsis";b=K(g,b,k);if(!b)throw"Failed to find slope transition in planetary apsis search.";h=oa(a,b);return new Xa(b,f,h)}b=k;h=n}throw"Internal error: should have found planetary apsis within 2 orbital periods.";}function Ka(a){return new J([[a.rot[0][0],a.rot[1][0],a.rot[2][0]],[a.rot[0][1],a.rot[1][1],a.rot[2][1]],
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[a.rot[0][2],a.rot[1][2],a.rot[2][2]]])}function ja(a,b){return new J([[b.rot[0][0]*a.rot[0][0]+b.rot[1][0]*a.rot[0][1]+b.rot[2][0]*a.rot[0][2],b.rot[0][1]*a.rot[0][0]+b.rot[1][1]*a.rot[0][1]+b.rot[2][1]*a.rot[0][2],b.rot[0][2]*a.rot[0][0]+b.rot[1][2]*a.rot[0][1]+b.rot[2][2]*a.rot[0][2]],[b.rot[0][0]*a.rot[1][0]+b.rot[1][0]*a.rot[1][1]+b.rot[2][0]*a.rot[1][2],b.rot[0][1]*a.rot[1][0]+b.rot[1][1]*a.rot[1][1]+b.rot[2][1]*a.rot[1][2],b.rot[0][2]*a.rot[1][0]+b.rot[1][2]*a.rot[1][1]+b.rot[2][2]*a.rot[1][2]],
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[b.rot[0][0]*a.rot[2][0]+b.rot[1][0]*a.rot[2][1]+b.rot[2][0]*a.rot[2][2],b.rot[0][1]*a.rot[2][0]+b.rot[1][1]*a.rot[2][1]+b.rot[2][1]*a.rot[2][2],b.rot[0][2]*a.rot[2][0]+b.rot[1][2]*a.rot[2][1]+b.rot[2][2]*a.rot[2][2]]])}function lb(a,b){b=v(b);var c=a.lat*e.DEG2RAD,d=a.lon*e.DEG2RAD,f=a.dist*Math.cos(c);return new E(f*Math.cos(d),f*Math.sin(d),a.dist*Math.sin(c),b)}function Mb(a){var b=Nb(a);return new gb(b.lon/15,b.lat,b.dist,a)}function Nb(a){var b=a.x*a.x+a.y*a.y,c=Math.sqrt(b+a.z*a.z);if(0===
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@@ -105,74 +105,74 @@ b){if(0===a.z)throw"Zero-length vector not allowed.";var d=0;a=0>a.z?-90:90}else
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b){if(-90>b||90<b)return 0;for(var c=b-Oa(a,b);;){var d=c+Oa(a,c)-b;if(1E-14>Math.abs(d))return c-b;c-=d}}function Ya(a,b){return new E(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,b.t)}function Ea(a,b){return new I(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,a.rot[0][0]*b.vx+a.rot[1][0]*b.vy+a.rot[2][0]*
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b.vz,a.rot[0][1]*b.vx+a.rot[1][1]*b.vy+a.rot[2][1]*b.vz,a.rot[0][2]*b.vx+a.rot[1][2]*b.vy+a.rot[2][2]*b.vz,b.t)}function Ac(){return new J([[1,0,0],[0,.9174821430670688,-.3977769691083922],[0,.3977769691083922,.9174821430670688]])}function ob(a){a=v(a);var b=Ma(a,F.From2000);a=Na(a,F.From2000);return ja(b,a)}function pb(a){a=v(a);var b=Na(a,F.Into2000);a=Ma(a,F.Into2000);return ja(b,a)}function Ob(a,b){a=v(a);var c=Math.sin(b.latitude*e.DEG2RAD),d=Math.cos(b.latitude*e.DEG2RAD),f=Math.sin(b.longitude*
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e.DEG2RAD),g=Math.cos(b.longitude*e.DEG2RAD);b=[d*g,d*f,c];c=[-c*g,-c*f,d];f=[f,-g,0];a=-15*ca(a);b=ya(a,b);c=ya(a,c);a=ya(a,f);return new J([[c[0],a[0],b[0]],[c[1],a[1],b[1]],[c[2],a[2],b[2]]])}function Bc(a,b){a=Ob(a,b);return Ka(a)}function Cc(a,b){a=v(a);b=Bc(a,b);a=pb(a);return ja(b,a)}function Dc(a){a=pb(a);var b=Ac();return ja(a,b)}function Ec(a){a=Dc(a);return Ka(a)}function Fc(a,b){a=v(a);var c=Ec(a);a=Ob(a,b);return ja(c,a)}function Gc(a){var b=da(v(a)).tobl*e.DEG2RAD;a=Math.cos(b);b=Math.sin(b);
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return new J([[1,0,0],[0,+a,+b],[0,-b,+a]])}function Hc(a){var b=da(v(a)).tobl*e.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new J([[1,0,0],[0,+a,-b],[0,+b,+a]])}function Za(a,b,c,d){var f=(d.x*c.x+d.y*c.y+d.z*c.z)/(d.x*d.x+d.y*d.y+d.z*d.z);return new vd(b,f,e.KM_PER_AU*Math.hypot(f*d.x-c.x,f*d.y-c.y,f*d.z-c.z),695700-(1+f)*(695700-a),-695700+(1+f)*(695700+a),c,d)}function qb(a){var b=W(m.Sun,a,!0);b=new E(-b.x,-b.y,-b.z,b.t);var c=Y(a);return Za(6459,a,c,b)}function Ic(a){var b=W(m.Sun,a,!0),c=Y(a),
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d=new E(-c.x,-c.y,-c.z,c.t);c.x-=b.x;c.y-=b.y;c.z-=b.z;return Za(1737.4,a,d,c)}function Pb(a,b){var c=cc(a,b);b=W(m.Sun,a,!0);var d=Y(a);c=new E(c[0]-d.x,c[1]-d.y,c[2]-d.z,a);d.x-=b.x;d.y-=b.y;d.z-=b.z;return Za(1737.4,a,c,d)}function rb(a,b,c){a=W(a,c,!0);var d=W(m.Sun,c,!0),f=new E(a.x-d.x,a.y-d.y,a.z-d.z,c);d.x=-a.x;d.y=-a.y;d.z=-a.z;return Za(b,c,d,f)}function Qb(a,b){var c=1/86400,d=b.AddDays(-c);b=b.AddDays(+c);d=a(d);return(a(b).r-d.r)/c}function wd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);
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b=K(function(c){return Qb(qb,c)},b,a);if(!b)throw"Failed to find peak Earth shadow time.";return qb(b)}function xd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=K(function(c){return Qb(Ic,c)},b,a);if(!b)throw"Failed to find peak Moon shadow time.";return Ic(b)}function yd(a,b,c){var d=c.AddDays(-1);c=c.AddDays(1);d=K(function(f){var g=1/86400,h=rb(a,b,f.AddDays(-g));return(rb(a,b,f.AddDays(+g)).r-h.r)/g},d,c);if(!d)throw"Failed to find peak planet shadow time.";return rb(a,b,d)}function zd(a,b){function c(g){return Pb(g,
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return new J([[1,0,0],[0,+a,+b],[0,-b,+a]])}function Hc(a){var b=da(v(a)).tobl*e.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new J([[1,0,0],[0,+a,-b],[0,+b,+a]])}function Za(a,b,c,d){var f=(d.x*c.x+d.y*c.y+d.z*c.z)/(d.x*d.x+d.y*d.y+d.z*d.z);return new wd(b,f,e.KM_PER_AU*Math.hypot(f*d.x-c.x,f*d.y-c.y,f*d.z-c.z),695700-(1+f)*(695700-a),-695700+(1+f)*(695700+a),c,d)}function qb(a){var b=W(m.Sun,a,!0);b=new E(-b.x,-b.y,-b.z,b.t);var c=Y(a);return Za(6459,a,c,b)}function Ic(a){var b=W(m.Sun,a,!0),c=Y(a),
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d=new E(-c.x,-c.y,-c.z,c.t);c.x-=b.x;c.y-=b.y;c.z-=b.z;return Za(1737.4,a,d,c)}function Pb(a,b){var c=cc(a,b);b=W(m.Sun,a,!0);var d=Y(a);c=new E(c[0]-d.x,c[1]-d.y,c[2]-d.z,a);d.x-=b.x;d.y-=b.y;d.z-=b.z;return Za(1737.4,a,c,d)}function rb(a,b,c){a=W(a,c,!0);var d=W(m.Sun,c,!0),f=new E(a.x-d.x,a.y-d.y,a.z-d.z,c);d.x=-a.x;d.y=-a.y;d.z=-a.z;return Za(b,c,d,f)}function Qb(a,b){var c=1/86400,d=b.AddDays(-c);b=b.AddDays(+c);d=a(d);return(a(b).r-d.r)/c}function xd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);
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b=K(function(c){return Qb(qb,c)},b,a);if(!b)throw"Failed to find peak Earth shadow time.";return qb(b)}function yd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=K(function(c){return Qb(Ic,c)},b,a);if(!b)throw"Failed to find peak Moon shadow time.";return Ic(b)}function zd(a,b,c){var d=c.AddDays(-1);c=c.AddDays(1);d=K(function(f){var g=1/86400,h=rb(a,b,f.AddDays(-g));return(rb(a,b,f.AddDays(+g)).r-h.r)/g},d,c);if(!d)throw"Failed to find peak planet shadow time.";return rb(a,b,d)}function Ad(a,b){function c(g){return Pb(g,
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b)}var d=a.AddDays(-.2),f=a.AddDays(.2);d=K(function(g){return Qb(c,g)},d,f);if(!d)throw"PeakLocalMoonShadow: search failure for search_center_time = "+a;return Pb(d,b)}function Rb(a,b,c){var d=c/1440;c=a.AddDays(-d);d=a.AddDays(+d);c=K(function(f){return-(qb(f).r-b)},c,a);a=K(function(f){return+(qb(f).r-b)},a,d);if(!c||!a)throw"Failed to find shadow semiduration";return 720*(a.ut-c.ut)}function Sb(a){a=ea(a);return e.RAD2DEG*a.geo_eclip_lat}function Jc(a,b,c){if(0>=a)throw"Radius of first disc must be positive.";
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if(0>=b)throw"Radius of second disc must be positive.";if(0>c)throw"Distance between discs is not allowed to be negative.";if(c>=a+b)return 0;if(0==c)return a<=b?1:b*b/(a*a);var d=(a*a-b*b+c*c)/(2*c),f=a*a-d*d;if(0>=f)return a<=b?1:b*b/(a*a);f=Math.sqrt(f);return(a*a*Math.acos(d/a)-d*f+(b*b*Math.acos((c-d)/b)-(c-d)*f))/(Math.PI*a*a)}function Kc(a,b){var c=new E(a.x+b.x,a.y+b.y,a.z+b.z,a.t);a=Math.asin(Lc/c.Length());var d=Math.asin(Ad/b.Length());b=N(b,c);b=Jc(a,d,b*e.DEG2RAD);return Math.min(.9999,
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b)}function Mc(a){a=v(a);for(var b=0;12>b;++b){var c=Wa(180,a,40);if(!c)throw"Cannot find full moon.";a=Sb(c);if(1.8>Math.abs(a)&&(a=wd(c),a.r<a.p+1737.4)){b=S.Penumbral;var d=c=0,f=0,g=Rb(a.time,a.p+1737.4,200);a.r<a.k+1737.4&&(b=S.Partial,f=Rb(a.time,a.k+1737.4,g),a.r+1737.4<a.k?(b=S.Total,c=1,d=Rb(a.time,a.k-1737.4,f)):c=Jc(1737.4,a.k,a.r));return new Nc(b,c,a.time,g,f,d)}a=c.AddDays(10)}throw"Failed to find lunar eclipse within 12 full moons.";}function Oc(a){a=v(a);var b;for(b=0;12>b;++b){var c=
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Wa(0,a,40);if(!c)throw"Cannot find new moon";a=Sb(c);if(1.8>Math.abs(a)&&(a=xd(c),a.r<a.p+6371)){var d=void 0,f=void 0,g=S.Partial;b=a.time;c=a.r;var h=ob(a.time),l=Ya(h,a.dir),k=Ya(h,a.target);l.x*=e.KM_PER_AU;l.y*=e.KM_PER_AU;l.z*=e.KM_PER_AU/.996647180302104;k.x*=e.KM_PER_AU;k.y*=e.KM_PER_AU;k.z*=e.KM_PER_AU/.996647180302104;var n=l.x*l.x+l.y*l.y+l.z*l.z,p=-2*(l.x*k.x+l.y*k.y+l.z*k.z),q=p*p-4*n*(k.x*k.x+k.y*k.y+k.z*k.z-4.068062648825956E7);if(0<q){f=(-p-Math.sqrt(q))/(2*n);g=f*l.x-k.x;n=f*l.y-
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if(0>=b)throw"Radius of second disc must be positive.";if(0>c)throw"Distance between discs is not allowed to be negative.";if(c>=a+b)return 0;if(0==c)return a<=b?1:b*b/(a*a);var d=(a*a-b*b+c*c)/(2*c),f=a*a-d*d;if(0>=f)return a<=b?1:b*b/(a*a);f=Math.sqrt(f);return(a*a*Math.acos(d/a)-d*f+(b*b*Math.acos((c-d)/b)-(c-d)*f))/(Math.PI*a*a)}function Kc(a,b){var c=new E(a.x+b.x,a.y+b.y,a.z+b.z,a.t);a=Math.asin(Lc/c.Length());var d=Math.asin(Bd/b.Length());b=N(b,c);b=Jc(a,d,b*e.DEG2RAD);return Math.min(.9999,
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b)}function Mc(a){a=v(a);for(var b=0;12>b;++b){var c=Wa(180,a,40);if(!c)throw"Cannot find full moon.";a=Sb(c);if(1.8>Math.abs(a)&&(a=xd(c),a.r<a.p+1737.4)){b=S.Penumbral;var d=c=0,f=0,g=Rb(a.time,a.p+1737.4,200);a.r<a.k+1737.4&&(b=S.Partial,f=Rb(a.time,a.k+1737.4,g),a.r+1737.4<a.k?(b=S.Total,c=1,d=Rb(a.time,a.k-1737.4,f)):c=Jc(1737.4,a.k,a.r));return new Nc(b,c,a.time,g,f,d)}a=c.AddDays(10)}throw"Failed to find lunar eclipse within 12 full moons.";}function Oc(a){a=v(a);var b;for(b=0;12>b;++b){var c=
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Wa(0,a,40);if(!c)throw"Cannot find new moon";a=Sb(c);if(1.8>Math.abs(a)&&(a=yd(c),a.r<a.p+6371)){var d=void 0,f=void 0,g=S.Partial;b=a.time;c=a.r;var h=ob(a.time),l=Ya(h,a.dir),k=Ya(h,a.target);l.x*=e.KM_PER_AU;l.y*=e.KM_PER_AU;l.z*=e.KM_PER_AU/.996647180302104;k.x*=e.KM_PER_AU;k.y*=e.KM_PER_AU;k.z*=e.KM_PER_AU/.996647180302104;var n=l.x*l.x+l.y*l.y+l.z*l.z,p=-2*(l.x*k.x+l.y*k.y+l.z*k.z),q=p*p-4*n*(k.x*k.x+k.y*k.y+k.z*k.z-4.068062648825956E7);if(0<q){f=(-p-Math.sqrt(q))/(2*n);g=f*l.x-k.x;n=f*l.y-
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k.y;l=.996647180302104*(f*l.z-k.z);f=.9933056020041345*Math.hypot(g,n);f=0==f?0<l?90:-90:e.RAD2DEG*Math.atan(l/f);d=ca(b);d=(e.RAD2DEG*Math.atan2(n,g)-15*d)%360;-180>=d?d+=360:180<d&&(d-=360);h=Ka(h);l=new E(g/e.KM_PER_AU,n/e.KM_PER_AU,l/e.KM_PER_AU,a.time);l=Ya(h,l);l.x+=a.target.x;l.y+=a.target.y;l.z+=a.target.z;h=Za(1736,a.time,l,a.dir);if(1E-9<h.r||0>h.r)throw"Unexpected shadow distance from geoid intersection = "+h.r;g=.014<h.k?S.Total:S.Annular;a=g===S.Total?1:Kc(a.dir,l)}else a=void 0;return new Pc(g,
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a,b,c,f,d)}a=c.AddDays(10)}throw"Failed to find solar eclipse within 12 full moons.";}function Qc(a){return a.p-a.r}function Rc(a){return Math.abs(a.k)-a.r}function sb(a,b,c,d,f){d=K(function(g){g=Pb(g,a);return b*c(g)},d,f);if(!d)throw"Local eclipse transition search failed.";return Sc(a,d)}function Sc(a,b){var c=Pa(m.Sun,b,a,!0,!0);a=hb(b,a,c.ra,c.dec,"normal").altitude;return new Tc(b,a)}function Uc(a,b){a=v(a);for(za(b);;){a=Wa(0,a,40);if(!a)throw"Cannot find next new moon";var c=Sb(a);if(1.8>
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Math.abs(c)){var d=zd(a,b);if(d.r<d.p){var f=c=void 0;var g=b;var h=Sc(g,d.time),l=d.time.AddDays(-.2),k=d.time.AddDays(.2),n=sb(g,1,Qc,l,d.time),p=sb(g,-1,Qc,d.time,k);d.r<Math.abs(d.k)?(l=d.time.AddDays(-.01),k=d.time.AddDays(.01),f=sb(g,1,Rc,l,d.time),c=sb(g,-1,Rc,d.time,k),g=.014<d.k?S.Total:S.Annular):g=S.Partial;d=g===S.Total?1:Kc(d.dir,d.target);c=new Vc(g,d,n,f,h,c,p);if(0<c.partial_begin.altitude||0<c.partial_end.altitude)return c}}a=a.AddDays(10)}}function Wc(a,b,c,d,f){c=K(function(g){g=
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rb(a,b,g);return f*(g.r-g.p)},c,d);if(!c)throw"Planet transit boundary search failed";return c}function Xc(a,b){b=v(b);switch(a){case m.Mercury:var c=2439.7;break;case m.Venus:c=6051.8;break;default:throw"Invalid body: "+a;}for(;;){var d=Ia(a,0,b);if(.4>Ha(a,d)&&(b=yd(a,c,d),b.r<b.p)){d=b.time.AddDays(-1);d=Wc(a,c,d,b.time,-1);var f=b.time.AddDays(1);c=Wc(a,c,b.time,f,1);a=60*Ha(a,b.time);return new Yc(d,b.time,c,a)}b=d.AddDays(10)}}function Zc(a){var b=v(a),c=ib(b);for(a={};;a={$jscomp$loop$prop$kind$33:a.$jscomp$loop$prop$kind$33}){var d=
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Math.abs(c)){var d=Ad(a,b);if(d.r<d.p){var f=c=void 0;var g=b;var h=Sc(g,d.time),l=d.time.AddDays(-.2),k=d.time.AddDays(.2),n=sb(g,1,Qc,l,d.time),p=sb(g,-1,Qc,d.time,k);d.r<Math.abs(d.k)?(l=d.time.AddDays(-.01),k=d.time.AddDays(.01),f=sb(g,1,Rc,l,d.time),c=sb(g,-1,Rc,d.time,k),g=.014<d.k?S.Total:S.Annular):g=S.Partial;d=g===S.Total?1:Kc(d.dir,d.target);c=new Vc(g,d,n,f,h,c,p);if(0<c.partial_begin.altitude||0<c.partial_end.altitude)return c}}a=a.AddDays(10)}}function Wc(a,b,c,d,f){c=K(function(g){g=
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rb(a,b,g);return f*(g.r-g.p)},c,d);if(!c)throw"Planet transit boundary search failed";return c}function Xc(a,b){b=v(b);switch(a){case m.Mercury:var c=2439.7;break;case m.Venus:c=6051.8;break;default:throw"Invalid body: "+a;}for(;;){var d=Ia(a,0,b);if(.4>Ha(a,d)&&(b=zd(a,c,d),b.r<b.p)){d=b.time.AddDays(-1);d=Wc(a,c,d,b.time,-1);var f=b.time.AddDays(1);c=Wc(a,c,b.time,f,1);a=60*Ha(a,b.time);return new Yc(d,b.time,c,a)}b=d.AddDays(10)}}function Zc(a){var b=v(a),c=ib(b);for(a={};;a={$jscomp$loop$prop$kind$33:a.$jscomp$loop$prop$kind$33}){var d=
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b.AddDays(10),f=ib(d);if(0>=c.lat*f.lat){a.$jscomp$loop$prop$kind$33=f.lat>c.lat?ra.Ascending:ra.Descending;b=K(function(g){return function(h){return g.$jscomp$loop$prop$kind$33*ib(h).lat}}(a),b,d);if(!b)throw"Could not find moon node.";return new $c(a.$jscomp$loop$prop$kind$33,b)}b=d;c=f}}function ad(a,b,c,d,f){if(1>a||5<a)throw"Invalid lagrange point "+a;if(!Number.isFinite(c)||0>=c)throw"Major mass must be a positive number.";if(!Number.isFinite(f)||0>=f)throw"Minor mass must be a negative number.";
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var g=d.x-b.x,h=d.y-b.y,l=d.z-b.z,k=g*g+h*h+l*l,n=Math.sqrt(k),p=d.vx-b.vx,q=d.vy-b.vy;d=d.vz-b.vz;if(4===a||5===a){k=h*d-l*q;c=l*p-g*d;var t=g*q-h*p,y=c*l-t*h;t=t*g-k*l;k=k*h-c*g;c=Math.sqrt(y*y+t*t+k*k);y/=c;t/=c;k/=c;g/=n;h/=n;l/=n;a=4==a?.8660254037844386:-.8660254037844386;c=.5*g+a*y;f=.5*h+a*t;var x=.5*l+a*k,z=p*g+q*h+d*l;p=p*y+q*t+d*k;b=new I(n*c,n*f,n*x,z*c+p*(.5*y-a*g),z*f+p*(.5*t-a*h),z*x+p*(.5*k-a*l),b.t)}else{y=f/(c+f)*-n;t=c/(c+f)*+n;k=(c+f)/(k*n);if(1===a||2===a)x=c/(c+f)*Math.cbrt(f/
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(3*c)),c=-c,1==a?(x=1-x,a=+f):(x=1+x,a=-f);else if(3===a)x=(7/12*f-c)/(f+c),c=+c,a=+f;else throw"Invalid Langrage point "+a+". Must be an integer 1..5.";f=n*x-y;do x=f-y,z=f-t,x=(k*f+c/(x*x)+a/(z*z))/(k-2*c/(x*x*x)-2*a/(z*z*z)),f-=x;while(1E-14<Math.abs(x/n));x=(f-y)/n;b=new I(x*g,x*h,x*l,x*p,x*q,x*d,b.t)}return b}Object.defineProperty(e,"__esModule",{value:!0});e.GeoEmbState=e.GeoMoonState=e.EclipticGeoMoon=e.GeoMoon=e.Ecliptic=e.ObserverGravity=e.VectorObserver=e.ObserverState=e.ObserverVector=
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e.Equator=e.SunPosition=e.Observer=e.Horizon=e.EclipticCoordinates=e.HorizontalCoordinates=e.MakeRotation=e.RotationMatrix=e.EquatorialCoordinates=e.Spherical=e.StateVector=e.Vector=e.SiderealTime=e.Libration=e.LibrationInfo=e.CalcMoonCount=e.e_tilt=e.MakeTime=e.AstroTime=e.SetDeltaTFunction=e.DeltaT_JplHorizons=e.DeltaT_EspenakMeeus=e.PlanetOrbitalPeriod=e.DefineStar=e.Body=e.AngleBetween=e.MassProduct=e.CALLISTO_RADIUS_KM=e.GANYMEDE_RADIUS_KM=e.EUROPA_RADIUS_KM=e.IO_RADIUS_KM=e.JUPITER_MEAN_RADIUS_KM=
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e.JUPITER_POLAR_RADIUS_KM=e.JUPITER_EQUATORIAL_RADIUS_KM=e.RAD2HOUR=e.RAD2DEG=e.HOUR2RAD=e.DEG2RAD=e.AU_PER_LY=e.KM_PER_AU=e.C_AUDAY=void 0;e.InverseRefraction=e.Refraction=e.VectorFromHorizon=e.HorizonFromVector=e.SphereFromVector=e.EquatorFromVector=e.VectorFromSphere=e.Pivot=e.IdentityMatrix=e.CombineRotation=e.InverseRotation=e.NextPlanetApsis=e.SearchPlanetApsis=e.NextLunarApsis=e.SearchLunarApsis=e.Apsis=e.ApsisKind=e.SearchPeakMagnitude=e.SearchMaxElongation=e.Elongation=e.ElongationEvent=
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e.Seasons=e.SeasonInfo=e.HourAngle=e.SearchHourAngle=e.HourAngleEvent=e.SearchAltitude=e.SearchRiseSet=e.NextMoonQuarter=e.SearchMoonQuarter=e.MoonQuarter=e.SearchMoonPhase=e.MoonPhase=e.SearchRelativeLongitude=e.Illumination=e.IlluminationInfo=e.EclipticLongitude=e.AngleFromSun=e.PairLongitude=e.SearchSunLongitude=e.Search=e.HelioState=e.BaryState=e.GeoVector=e.BackdatePosition=e.CorrectLightTravel=e.HelioDistance=e.HelioVector=e.JupiterMoons=e.JupiterMoonsInfo=void 0;e.GravitySimulator=e.LagrangePointFast=
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e.JUPITER_POLAR_RADIUS_KM=e.JUPITER_EQUATORIAL_RADIUS_KM=e.RAD2HOUR=e.RAD2DEG=e.HOUR2RAD=e.DEG2RAD=e.AU_PER_LY=e.KM_PER_AU=e.C_AUDAY=void 0;e.VectorFromHorizon=e.HorizonFromVector=e.SphereFromVector=e.EquatorFromVector=e.VectorFromSphere=e.Pivot=e.IdentityMatrix=e.CombineRotation=e.InverseRotation=e.NextPlanetApsis=e.SearchPlanetApsis=e.NextLunarApsis=e.SearchLunarApsis=e.Apsis=e.ApsisKind=e.SearchPeakMagnitude=e.SearchMaxElongation=e.Elongation=e.ElongationEvent=e.Seasons=e.SeasonInfo=e.HourAngle=
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e.SearchHourAngle=e.HourAngleEvent=e.SearchAltitude=e.SearchRiseSet=e.Atmosphere=e.AtmosphereInfo=e.NextMoonQuarter=e.SearchMoonQuarter=e.MoonQuarter=e.SearchMoonPhase=e.MoonPhase=e.SearchRelativeLongitude=e.Illumination=e.IlluminationInfo=e.EclipticLongitude=e.AngleFromSun=e.PairLongitude=e.SearchSunLongitude=e.Search=e.HelioState=e.BaryState=e.GeoVector=e.BackdatePosition=e.CorrectLightTravel=e.HelioDistance=e.HelioVector=e.JupiterMoons=e.JupiterMoonsInfo=void 0;e.GravitySimulator=e.LagrangePointFast=
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e.LagrangePoint=e.RotationAxis=e.AxisInfo=e.NextMoonNode=e.SearchMoonNode=e.NodeEventInfo=e.NodeEventKind=e.NextTransit=e.SearchTransit=e.TransitInfo=e.NextLocalSolarEclipse=e.SearchLocalSolarEclipse=e.LocalSolarEclipseInfo=e.EclipseEvent=e.NextGlobalSolarEclipse=e.SearchGlobalSolarEclipse=e.NextLunarEclipse=e.GlobalSolarEclipseInfo=e.SearchLunarEclipse=e.LunarEclipseInfo=e.EclipseKind=e.Constellation=e.ConstellationInfo=e.Rotation_EQD_ECT=e.Rotation_ECT_EQD=e.Rotation_GAL_EQJ=e.Rotation_EQJ_GAL=
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e.Rotation_HOR_ECL=e.Rotation_ECL_HOR=e.Rotation_ECL_EQD=e.Rotation_EQD_ECL=e.Rotation_EQJ_HOR=e.Rotation_HOR_EQJ=e.Rotation_HOR_EQD=e.Rotation_EQD_HOR=e.Rotation_EQD_EQJ=e.Rotation_ECT_EQJ=e.Rotation_EQJ_ECT=e.Rotation_EQJ_EQD=e.Rotation_ECL_EQJ=e.Rotation_EQJ_ECL=e.RotateState=e.RotateVector=void 0;e.C_AUDAY=173.1446326846693;e.KM_PER_AU=1.4959787069098932E8;e.AU_PER_LY=63241.07708807546;e.DEG2RAD=.017453292519943295;e.HOUR2RAD=.26179938779914946;e.RAD2DEG=57.29577951308232;e.RAD2HOUR=3.819718634205488;
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e.JUPITER_EQUATORIAL_RADIUS_KM=71492;e.JUPITER_POLAR_RADIUS_KM=66854;e.JUPITER_MEAN_RADIUS_KM=69911;e.IO_RADIUS_KM=1821.6;e.EUROPA_RADIUS_KM=1560.8;e.GANYMEDE_RADIUS_KM=2631.2;e.CALLISTO_RADIUS_KM=2410.3;var bd=new Date("2000-01-01T12:00:00Z"),U=2*Math.PI,ia=180/Math.PI*3600,rd=-.17-5*Math.log10(648E3/Math.PI),Lc=695700/e.KM_PER_AU,nd=6378.1366/e.KM_PER_AU,Bd=1738.1/e.KM_PER_AU,Ad=1736/e.KM_PER_AU,Cd=34/60;e.MassProduct=C;e.AngleBetween=N;var m;(function(a){a.Sun="Sun";a.Moon="Moon";a.Mercury="Mercury";
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a.Venus="Venus";a.Earth="Earth";a.Mars="Mars";a.Jupiter="Jupiter";a.Saturn="Saturn";a.Uranus="Uranus";a.Neptune="Neptune";a.Pluto="Pluto";a.SSB="SSB";a.EMB="EMB";a.Star1="Star1";a.Star2="Star2";a.Star3="Star3";a.Star4="Star4";a.Star5="Star5";a.Star6="Star6";a.Star7="Star7";a.Star8="Star8"})(m=e.Body||(e.Body={}));var jd=[m.Star1,m.Star2,m.Star3,m.Star4,m.Star5,m.Star6,m.Star7,m.Star8],kd=[{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,
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dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0}];e.DefineStar=function(a,b,c,d){var f=T(a);if(!f)throw"Invalid star body: "+a;w(b);w(c);w(d);if(0>b||24<=b)throw"Invalid right ascension for star: "+b;if(-90>c||90<c)throw"Invalid declination for star: "+c;if(1>d)throw"Invalid star distance: "+d;f.ra=b;f.dec=c;f.dist=d*e.AU_PER_LY};var F;(function(a){a[a.From2000=0]="From2000";a[a.Into2000=1]="Into2000"})(F||(F={}));var aa={Mercury:{OrbitalPeriod:87.969},Venus:{OrbitalPeriod:224.701},Earth:{OrbitalPeriod:365.256},
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Mars:{OrbitalPeriod:686.98},Jupiter:{OrbitalPeriod:4332.589},Saturn:{OrbitalPeriod:10759.22},Uranus:{OrbitalPeriod:30685.4},Neptune:{OrbitalPeriod:60189},Pluto:{OrbitalPeriod:90560}};e.PlanetOrbitalPeriod=function(a){if(a in aa)return aa[a].OrbitalPeriod;throw"Unknown orbital period for: "+a;};var M={Mercury:[[[[4.40250710144,0,0],[.40989414977,1.48302034195,26087.9031415742],[.050462942,4.47785489551,52175.8062831484],[.00855346844,1.16520322459,78263.70942472259],[.00165590362,4.11969163423,104351.61256629678],
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[3.4561897E-4,.77930768443,130439.51570787099],[7.583476E-5,3.71348404924,156527.41884944518]],[[26087.90313685529,0,0],[.01131199811,6.21874197797,26087.9031415742],[.00292242298,3.04449355541,52175.8062831484],[7.5775081E-4,6.08568821653,78263.70942472259],[1.9676525E-4,2.80965111777,104351.61256629678]]],[[[.11737528961,1.98357498767,26087.9031415742],[.02388076996,5.03738959686,52175.8062831484],[.01222839532,3.14159265359,0],[.0054325181,1.79644363964,78263.70942472259],[.0012977877,4.83232503958,
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104351.61256629678],[3.1866927E-4,1.58088495658,130439.51570787099],[7.963301E-5,4.60972126127,156527.41884944518]],[[.00274646065,3.95008450011,26087.9031415742],[9.9737713E-4,3.14159265359,0]]],[[[.39528271651,0,0],[.07834131818,6.19233722598,26087.9031415742],[.00795525558,2.95989690104,52175.8062831484],[.00121281764,6.01064153797,78263.70942472259],[2.1921969E-4,2.77820093972,104351.61256629678],[4.354065E-5,5.82894543774,130439.51570787099]],[[.0021734774,4.65617158665,26087.9031415742],[4.4141826E-4,
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11.0457002639],[2.646877E-4,3.14152083966,71.8126531507],[2.5710476E-4,6.11379840493,454.9093665273],[2.107885E-4,4.36059339067,148.0787244263],[1.7818647E-4,1.74436930289,36.6485629295],[1.4613507E-4,4.73732166022,3.9321532631],[1.1162509E-4,5.8268179635,224.3447957019],[1.099791E-4,.48865004018,138.5174968707],[9.527478E-5,2.95516862826,35.1640902212],[7.545601E-5,5.236265824,109.9456887885],[4.220241E-5,3.23328220918,70.8494453042],[4.0519E-5,2.277550173,151.0476698429],[3.354596E-5,1.0654900738,
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|
4.4534181249],[2.926718E-5,4.62903718891,9.5612275556],[3.49034E-5,5.48306144511,146.594251718],[3.144069E-5,4.75199570434,77.7505439839],[2.922333E-5,5.35235361027,85.8272988312],[2.272788E-5,4.36600400036,70.3281804424],[2.051219E-5,1.51773566586,.1118745846],[2.148602E-5,.60745949945,38.1330356378],[1.991643E-5,4.92437588682,277.0349937414],[1.376226E-5,2.04283539351,65.2203710117],[1.666902E-5,3.62744066769,380.12776796],[1.284107E-5,3.11347961505,202.2533951741],[1.150429E-5,.93343589092,3.1813937377],
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[1.533221E-5,2.58594681212,52.6901980395],[1.281604E-5,.54271272721,222.8603229936],[1.372139E-5,4.19641530878,111.4301614968],[1.221029E-5,.1990065003,108.4612160802],[9.46181E-6,1.19253165736,127.4717966068],[1.150989E-5,4.17898916639,33.6796175129]],[[74.7815986091,0,0],[.00154332863,5.24158770553,74.7815985673],[2.4456474E-4,1.71260334156,1.4844727083],[9.258442E-5,.4282973235,11.0457002639],[8.265977E-5,1.50218091379,63.7358983034],[9.15016E-5,1.41213765216,149.5631971346]]],[[[.01346277648,
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2.61877810547,74.7815985673],[6.23414E-4,5.08111189648,149.5631971346],[6.1601196E-4,3.14159265359,0],[9.963722E-5,1.61603805646,76.2660712756],[9.92616E-5,.57630380333,73.297125859]],[[3.4101978E-4,.01321929936,74.7815985673]]],[[[19.21264847206,0,0],[.88784984413,5.60377527014,74.7815985673],[.03440836062,.32836099706,73.297125859],[.0205565386,1.7829515933,149.5631971346],[.0064932241,4.52247285911,76.2660712756],[.00602247865,3.86003823674,63.7358983034],[.00496404167,1.40139935333,454.9093665273],
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[.00338525369,1.58002770318,138.5174968707],[.00243509114,1.57086606044,71.8126531507],[.00190522303,1.99809394714,1.4844727083],[.00161858838,2.79137786799,148.0787244263],[.00143706183,1.38368544947,11.0457002639],[9.3192405E-4,.17437220467,36.6485629295],[7.1424548E-4,4.24509236074,224.3447957019],[8.9806014E-4,3.66105364565,109.9456887885],[3.9009723E-4,1.66971401684,70.8494453042],[4.6677296E-4,1.39976401694,35.1640902212],[3.9025624E-4,3.36234773834,277.0349937414],[3.6755274E-4,3.88649278513,
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146.594251718],[3.0348723E-4,.70100838798,151.0476698429],[2.9156413E-4,3.180563367,77.7505439839],[2.2637073E-4,.72518687029,529.6909650946],[1.1959076E-4,1.7504339214,984.6003316219],[2.5620756E-4,5.25656086672,380.12776796]],[[.01479896629,3.67205697578,74.7815985673]]]],Neptune:[[[[5.31188633046,0,0],[.0179847553,2.9010127389,38.1330356378],[.01019727652,.48580922867,1.4844727083],[.00124531845,4.83008090676,36.6485629295],[4.2064466E-4,5.41054993053,2.9689454166],[3.7714584E-4,6.09221808686,
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|
35.1640902212],[3.3784738E-4,1.24488874087,76.2660712756],[1.6482741E-4,7.727998E-5,491.5579294568],[9.198584E-5,4.93747051954,39.6175083461],[8.99425E-5,.27462171806,175.1660598002]],[[38.13303563957,0,0],[1.6604172E-4,4.86323329249,1.4844727083],[1.5744045E-4,2.27887427527,38.1330356378]]],[[[.03088622933,1.44104372644,38.1330356378],[2.7780087E-4,5.91271884599,76.2660712756],[2.7623609E-4,0,0],[1.5355489E-4,2.52123799551,36.6485629295],[1.5448133E-4,3.50877079215,39.6175083461]]],[[[30.07013205828,
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0,0],[.27062259632,1.32999459377,38.1330356378],[.01691764014,3.25186135653,36.6485629295],[.00807830553,5.18592878704,1.4844727083],[.0053776051,4.52113935896,35.1640902212],[.00495725141,1.5710564165,491.5579294568],[.00274571975,1.84552258866,175.1660598002],[1.201232E-4,1.92059384991,1021.2488945514],[.00121801746,5.79754470298,76.2660712756],[.00100896068,.3770272493,73.297125859],[.00135134092,3.37220609835,39.6175083461],[7.571796E-5,1.07149207335,388.4651552382]]]]};e.DeltaT_EspenakMeeus=
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sa;e.DeltaT_JplHorizons=function(a){return sa(Math.min(a,17*365.24217))};var Wb=sa;e.SetDeltaTFunction=function(a){Wb=a};var O=function(a){if(a instanceof O)this.date=a.date,this.ut=a.ut,this.tt=a.tt;else if(a instanceof Date&&Number.isFinite(a.getTime()))this.date=a,this.ut=(a.getTime()-bd.getTime())/864E5,this.tt=Vb(this.ut);else if(Number.isFinite(a))this.date=new Date(bd.getTime()+864E5*a),this.ut=a,this.tt=Vb(this.ut);else throw"Argument must be a Date object, an AstroTime object, or a numeric UTC Julian date.";
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e.Rotation_HOR_ECL=e.Rotation_ECL_HOR=e.Rotation_ECL_EQD=e.Rotation_EQD_ECL=e.Rotation_EQJ_HOR=e.Rotation_HOR_EQJ=e.Rotation_HOR_EQD=e.Rotation_EQD_HOR=e.Rotation_EQD_EQJ=e.Rotation_ECT_EQJ=e.Rotation_EQJ_ECT=e.Rotation_EQJ_EQD=e.Rotation_ECL_EQJ=e.Rotation_EQJ_ECL=e.RotateState=e.RotateVector=e.InverseRefraction=e.Refraction=void 0;e.C_AUDAY=173.1446326846693;e.KM_PER_AU=1.4959787069098932E8;e.AU_PER_LY=63241.07708807546;e.DEG2RAD=.017453292519943295;e.HOUR2RAD=.26179938779914946;e.RAD2DEG=57.29577951308232;
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e.RAD2HOUR=3.819718634205488;e.JUPITER_EQUATORIAL_RADIUS_KM=71492;e.JUPITER_POLAR_RADIUS_KM=66854;e.JUPITER_MEAN_RADIUS_KM=69911;e.IO_RADIUS_KM=1821.6;e.EUROPA_RADIUS_KM=1560.8;e.GANYMEDE_RADIUS_KM=2631.2;e.CALLISTO_RADIUS_KM=2410.3;var bd=new Date("2000-01-01T12:00:00Z"),U=2*Math.PI,ia=180/Math.PI*3600,sd=-.17-5*Math.log10(648E3/Math.PI),Lc=695700/e.KM_PER_AU,od=6378.1366/e.KM_PER_AU,Cd=1738.1/e.KM_PER_AU,Bd=1736/e.KM_PER_AU,Dd=34/60;e.MassProduct=C;e.AngleBetween=N;var m;(function(a){a.Sun="Sun";
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a.Moon="Moon";a.Mercury="Mercury";a.Venus="Venus";a.Earth="Earth";a.Mars="Mars";a.Jupiter="Jupiter";a.Saturn="Saturn";a.Uranus="Uranus";a.Neptune="Neptune";a.Pluto="Pluto";a.SSB="SSB";a.EMB="EMB";a.Star1="Star1";a.Star2="Star2";a.Star3="Star3";a.Star4="Star4";a.Star5="Star5";a.Star6="Star6";a.Star7="Star7";a.Star8="Star8"})(m=e.Body||(e.Body={}));var kd=[m.Star1,m.Star2,m.Star3,m.Star4,m.Star5,m.Star6,m.Star7,m.Star8],ld=[{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},
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{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0}];e.DefineStar=function(a,b,c,d){var f=T(a);if(!f)throw"Invalid star body: "+a;w(b);w(c);w(d);if(0>b||24<=b)throw"Invalid right ascension for star: "+b;if(-90>c||90<c)throw"Invalid declination for star: "+c;if(1>d)throw"Invalid star distance: "+d;f.ra=b;f.dec=c;f.dist=d*e.AU_PER_LY};var F;(function(a){a[a.From2000=0]="From2000";a[a.Into2000=1]="Into2000"})(F||(F={}));var aa={Mercury:{OrbitalPeriod:87.969},Venus:{OrbitalPeriod:224.701},
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Earth:{OrbitalPeriod:365.256},Mars:{OrbitalPeriod:686.98},Jupiter:{OrbitalPeriod:4332.589},Saturn:{OrbitalPeriod:10759.22},Uranus:{OrbitalPeriod:30685.4},Neptune:{OrbitalPeriod:60189},Pluto:{OrbitalPeriod:90560}};e.PlanetOrbitalPeriod=function(a){if(a in aa)return aa[a].OrbitalPeriod;throw"Unknown orbital period for: "+a;};var M={Mercury:[[[[4.40250710144,0,0],[.40989414977,1.48302034195,26087.9031415742],[.050462942,4.47785489551,52175.8062831484],[.00855346844,1.16520322459,78263.70942472259],[.00165590362,
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|
4.11969163423,104351.61256629678],[3.4561897E-4,.77930768443,130439.51570787099],[7.583476E-5,3.71348404924,156527.41884944518]],[[26087.90313685529,0,0],[.01131199811,6.21874197797,26087.9031415742],[.00292242298,3.04449355541,52175.8062831484],[7.5775081E-4,6.08568821653,78263.70942472259],[1.9676525E-4,2.80965111777,104351.61256629678]]],[[[.11737528961,1.98357498767,26087.9031415742],[.02388076996,5.03738959686,52175.8062831484],[.01222839532,3.14159265359,0],[.0054325181,1.79644363964,78263.70942472259],
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|
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|
|
[.0012977877,4.83232503958,104351.61256629678],[3.1866927E-4,1.58088495658,130439.51570787099],[7.963301E-5,4.60972126127,156527.41884944518]],[[.00274646065,3.95008450011,26087.9031415742],[9.9737713E-4,3.14159265359,0]]],[[[.39528271651,0,0],[.07834131818,6.19233722598,26087.9031415742],[.00795525558,2.95989690104,52175.8062831484],[.00121281764,6.01064153797,78263.70942472259],[2.1921969E-4,2.77820093972,104351.61256629678],[4.354065E-5,5.82894543774,130439.51570787099]],[[.0021734774,4.65617158665,
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|
26087.9031415742],[4.4141826E-4,1.42385544001,52175.8062831484]]]],Venus:[[[[3.17614666774,0,0],[.01353968419,5.59313319619,10213.285546211],[8.9891645E-4,5.30650047764,20426.571092422],[5.477194E-5,4.41630661466,7860.4193924392],[3.455741E-5,2.6996444782,11790.6290886588],[2.372061E-5,2.99377542079,3930.2096962196],[1.317168E-5,5.18668228402,26.2983197998],[1.664146E-5,4.25018630147,1577.3435424478],[1.438387E-5,4.15745084182,9683.5945811164],[1.200521E-5,6.15357116043,30639.856638633]],[[10213.28554621638,
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0,0],[9.5617813E-4,2.4640651111,10213.285546211],[7.787201E-5,.6247848222,20426.571092422]]],[[[.05923638472,.26702775812,10213.285546211],[4.0107978E-4,1.14737178112,20426.571092422],[3.2814918E-4,3.14159265359,0]],[[.00287821243,1.88964962838,10213.285546211]]],[[[.72334820891,0,0],[.00489824182,4.02151831717,10213.285546211],[1.658058E-5,4.90206728031,20426.571092422],[1.378043E-5,1.12846591367,11790.6290886588],[1.632096E-5,2.84548795207,7860.4193924392],[4.98395E-6,2.58682193892,9683.5945811164],
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|
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[2.21985E-6,2.01346696541,19367.1891622328],[2.37454E-6,2.55136053886,15720.8387848784]],[[3.4551041E-4,.89198706276,10213.285546211]]]],Earth:[[[[1.75347045673,0,0],[.03341656453,4.66925680415,6283.0758499914],[3.4894275E-4,4.62610242189,12566.1516999828],[3.417572E-5,2.82886579754,3.523118349],[3.497056E-5,2.74411783405,5753.3848848968],[3.135899E-5,3.62767041756,77713.7714681205],[2.676218E-5,4.41808345438,7860.4193924392],[2.342691E-5,6.13516214446,3930.2096962196],[1.273165E-5,2.03709657878,
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529.6909650946],[1.324294E-5,.74246341673,11506.7697697936],[9.01854E-6,2.04505446477,26.2983197998],[1.199167E-5,1.10962946234,1577.3435424478],[8.57223E-6,3.50849152283,398.1490034082],[7.79786E-6,1.17882681962,5223.6939198022],[9.9025E-6,5.23268072088,5884.9268465832],[7.53141E-6,2.53339052847,5507.5532386674],[5.05267E-6,4.58292599973,18849.2275499742],[4.92392E-6,4.20505711826,775.522611324],[3.56672E-6,2.91954114478,.0673103028],[2.84125E-6,1.89869240932,796.2980068164],[2.42879E-6,.34481445893,
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|
5486.777843175],[3.17087E-6,5.84901948512,11790.6290886588],[2.71112E-6,.31486255375,10977.078804699],[2.06217E-6,4.80646631478,2544.3144198834],[2.05478E-6,1.86953770281,5573.1428014331],[2.02318E-6,2.45767790232,6069.7767545534],[1.26225E-6,1.08295459501,20.7753954924],[1.55516E-6,.83306084617,213.299095438]],[[6283.0758499914,0,0],[.00206058863,2.67823455808,6283.0758499914],[4.303419E-5,2.63512233481,12566.1516999828]],[[8.721859E-5,1.07253635559,6283.0758499914]]],[[],[[.00227777722,3.4137662053,
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6283.0758499914],[3.805678E-5,3.37063423795,12566.1516999828]]],[[[1.00013988784,0,0],[.01670699632,3.09846350258,6283.0758499914],[1.3956024E-4,3.05524609456,12566.1516999828],[3.08372E-5,5.19846674381,77713.7714681205],[1.628463E-5,1.17387558054,5753.3848848968],[1.575572E-5,2.84685214877,7860.4193924392],[9.24799E-6,5.45292236722,11506.7697697936],[5.42439E-6,4.56409151453,3930.2096962196],[4.7211E-6,3.66100022149,5884.9268465832],[8.5831E-7,1.27079125277,161000.6857376741],[5.7056E-7,2.01374292245,
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|
83996.84731811189],[5.5736E-7,5.2415979917,71430.69561812909],[1.74844E-6,3.01193636733,18849.2275499742],[2.43181E-6,4.2734953079,11790.6290886588]],[[.00103018607,1.10748968172,6283.0758499914],[1.721238E-5,1.06442300386,12566.1516999828]],[[4.359385E-5,5.78455133808,6283.0758499914]]]],Mars:[[[[6.20347711581,0,0],[.18656368093,5.0503710027,3340.6124266998],[.01108216816,5.40099836344,6681.2248533996],[9.1798406E-4,5.75478744667,10021.8372800994],[2.7744987E-4,5.97049513147,3.523118349],[1.0610235E-4,
|
|
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|
2.93958560338,2281.2304965106],[1.2315897E-4,.84956094002,2810.9214616052],[8.926784E-5,4.15697846427,.0172536522],[8.715691E-5,6.11005153139,13362.4497067992],[6.797556E-5,.36462229657,398.1490034082],[7.774872E-5,3.33968761376,5621.8429232104],[3.575078E-5,1.6618650571,2544.3144198834],[4.161108E-5,.22814971327,2942.4634232916],[3.075252E-5,.85696614132,191.4482661116],[2.628117E-5,.64806124465,3337.0893083508],[2.937546E-5,6.07893711402,.0673103028],[2.389414E-5,5.03896442664,796.2980068164],[2.579844E-5,
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|
.02996736156,3344.1355450488],[1.528141E-5,1.14979301996,6151.533888305],[1.798806E-5,.65634057445,529.6909650946],[1.264357E-5,3.62275122593,5092.1519581158],[1.286228E-5,3.06796065034,2146.1654164752],[1.546404E-5,2.91579701718,1751.539531416],[1.024902E-5,3.69334099279,8962.4553499102],[8.91566E-6,.18293837498,16703.062133499],[8.58759E-6,2.4009381194,2914.0142358238],[8.32715E-6,2.46418619474,3340.5951730476],[8.3272E-6,4.49495782139,3340.629680352],[7.12902E-6,3.66335473479,1059.3819301892],
|
|
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|
|
[7.48723E-6,3.82248614017,155.4203994342],[7.23861E-6,.67497311481,3738.761430108],[6.35548E-6,2.92182225127,8432.7643848156],[6.55162E-6,.48864064125,3127.3133312618],[5.50474E-6,3.81001042328,.9803210682],[5.5275E-6,4.47479317037,1748.016413067],[4.25966E-6,.55364317304,6283.0758499914],[4.15131E-6,.49662285038,213.299095438],[4.72167E-6,3.62547124025,1194.4470102246],[3.06551E-6,.38052848348,6684.7479717486],[3.12141E-6,.99853944405,6677.7017350506],[2.93198E-6,4.22131299634,20.7753954924],[3.02375E-6,
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|
4.48618007156,3532.0606928114],[2.74027E-6,.54222167059,3340.545116397],[2.81079E-6,5.88163521788,1349.8674096588],[2.31183E-6,1.28242156993,3870.3033917944],[2.83602E-6,5.7688543494,3149.1641605882],[2.36117E-6,5.75503217933,3333.498879699],[2.74033E-6,.13372524985,3340.6797370026],[2.99395E-6,2.78323740866,6254.6266625236]],[[3340.61242700512,0,0],[.01457554523,3.60433733236,3340.6124266998],[.00168414711,3.92318567804,6681.2248533996],[2.0622975E-4,4.26108844583,10021.8372800994],[3.452392E-5,
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|
4.7321039319,3.523118349],[2.586332E-5,4.60670058555,13362.4497067992],[8.41535E-6,4.45864030426,2281.2304965106]],[[5.8152577E-4,2.04961712429,3340.6124266998],[1.3459579E-4,2.45738706163,6681.2248533996]]],[[[.03197134986,3.76832042431,3340.6124266998],[.00298033234,4.10616996305,6681.2248533996],[.00289104742,0,0],[3.1365539E-4,4.4465105309,10021.8372800994],[3.4841E-5,4.7881254926,13362.4497067992]],[[.00217310991,6.04472194776,3340.6124266998],[2.0976948E-4,3.14159265359,0],[1.2834709E-4,1.60810667915,
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529.6909650946]]],[[[5.20887429326,0,0],[.25209327119,3.49108639871,529.6909650946],[.00610599976,3.84115365948,1059.3819301892],[.00282029458,2.57419881293,632.7837393132],[.00187647346,2.07590383214,522.5774180938],[8.6792905E-4,.71001145545,419.4846438752],[7.2062974E-4,.21465724607,536.8045120954],[6.5517248E-4,5.9799588479,316.3918696566],[2.9134542E-4,1.67759379655,103.0927742186],[3.0135335E-4,2.16132003734,949.1756089698],[2.3453271E-4,3.54023522184,735.8765135318],[2.2283743E-4,4.19362594399,
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0,0]]]],Saturn:[[[[.87401354025,0,0],[.11107659762,3.96205090159,213.299095438],[.01414150957,4.58581516874,7.1135470008],[.00398379389,.52112032699,206.1855484372],[.00350769243,3.30329907896,426.598190876],[.00206816305,.24658372002,103.0927742186],[7.92713E-4,3.84007056878,220.4126424388],[2.3990355E-4,4.66976924553,110.2063212194],[1.6573588E-4,.43719228296,419.4846438752],[1.4906995E-4,5.76903183869,316.3918696566],[1.582029E-4,.93809155235,632.7837393132],[1.4609559E-4,1.56518472,3.9321532631],
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202.2533951741],[3.4143772E-4,.19519102597,277.0349937414],[3.2401773E-4,5.47084567016,949.1756089698],[2.0936596E-4,.46349251129,735.8765135318],[9.796004E-5,5.20477537945,1265.5674786264],[1.1993338E-4,5.98050967385,846.0828347512],[2.08393E-4,1.52102476129,433.7117378768],[1.5298404E-4,3.0594381494,529.6909650946],[6.465823E-5,.17732249942,1052.2683831884],[1.1380257E-4,1.7310542704,522.5774180938],[3.419618E-5,4.94550542171,1581.959348283]],[[.0618298134,.2584351148,213.299095438],[.00506577242,
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76.2660712756],[6.1998615E-4,2.26952066061,2.9689454166],[6.1950719E-4,2.85098872691,11.0457002639],[2.646877E-4,3.14152083966,71.8126531507],[2.5710476E-4,6.11379840493,454.9093665273],[2.107885E-4,4.36059339067,148.0787244263],[1.7818647E-4,1.74436930289,36.6485629295],[1.4613507E-4,4.73732166022,3.9321532631],[1.1162509E-4,5.8268179635,224.3447957019],[1.099791E-4,.48865004018,138.5174968707],[9.527478E-5,2.95516862826,35.1640902212],[7.545601E-5,5.236265824,109.9456887885],[4.220241E-5,3.23328220918,
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70.8494453042],[4.0519E-5,2.277550173,151.0476698429],[3.354596E-5,1.0654900738,4.4534181249],[2.926718E-5,4.62903718891,9.5612275556],[3.49034E-5,5.48306144511,146.594251718],[3.144069E-5,4.75199570434,77.7505439839],[2.922333E-5,5.35235361027,85.8272988312],[2.272788E-5,4.36600400036,70.3281804424],[2.051219E-5,1.51773566586,.1118745846],[2.148602E-5,.60745949945,38.1330356378],[1.991643E-5,4.92437588682,277.0349937414],[1.376226E-5,2.04283539351,65.2203710117],[1.666902E-5,3.62744066769,380.12776796],
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63.7358983034],[9.15016E-5,1.41213765216,149.5631971346]]],[[[.01346277648,2.61877810547,74.7815985673],[6.23414E-4,5.08111189648,149.5631971346],[6.1601196E-4,3.14159265359,0],[9.963722E-5,1.61603805646,76.2660712756],[9.92616E-5,.57630380333,73.297125859]],[[3.4101978E-4,.01321929936,74.7815985673]]],[[[19.21264847206,0,0],[.88784984413,5.60377527014,74.7815985673],[.03440836062,.32836099706,73.297125859],[.0205565386,1.7829515933,149.5631971346],[.0064932241,4.52247285911,76.2660712756],[.00602247865,
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3.86003823674,63.7358983034],[.00496404167,1.40139935333,454.9093665273],[.00338525369,1.58002770318,138.5174968707],[.00243509114,1.57086606044,71.8126531507],[.00190522303,1.99809394714,1.4844727083],[.00161858838,2.79137786799,148.0787244263],[.00143706183,1.38368544947,11.0457002639],[9.3192405E-4,.17437220467,36.6485629295],[7.1424548E-4,4.24509236074,224.3447957019],[8.9806014E-4,3.66105364565,109.9456887885],[3.9009723E-4,1.66971401684,70.8494453042],[4.6677296E-4,1.39976401694,35.1640902212],
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[3.9025624E-4,3.36234773834,277.0349937414],[3.6755274E-4,3.88649278513,146.594251718],[3.0348723E-4,.70100838798,151.0476698429],[2.9156413E-4,3.180563367,77.7505439839],[2.2637073E-4,.72518687029,529.6909650946],[1.1959076E-4,1.7504339214,984.6003316219],[2.5620756E-4,5.25656086672,380.12776796]],[[.01479896629,3.67205697578,74.7815985673]]]],Neptune:[[[[5.31188633046,0,0],[.0179847553,2.9010127389,38.1330356378],[.01019727652,.48580922867,1.4844727083],[.00124531845,4.83008090676,36.6485629295],
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[4.2064466E-4,5.41054993053,2.9689454166],[3.7714584E-4,6.09221808686,35.1640902212],[3.3784738E-4,1.24488874087,76.2660712756],[1.6482741E-4,7.727998E-5,491.5579294568],[9.198584E-5,4.93747051954,39.6175083461],[8.99425E-5,.27462171806,175.1660598002]],[[38.13303563957,0,0],[1.6604172E-4,4.86323329249,1.4844727083],[1.5744045E-4,2.27887427527,38.1330356378]]],[[[.03088622933,1.44104372644,38.1330356378],[2.7780087E-4,5.91271884599,76.2660712756],[2.7623609E-4,0,0],[1.5355489E-4,2.52123799551,36.6485629295],
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[1.5448133E-4,3.50877079215,39.6175083461]]],[[[30.07013205828,0,0],[.27062259632,1.32999459377,38.1330356378],[.01691764014,3.25186135653,36.6485629295],[.00807830553,5.18592878704,1.4844727083],[.0053776051,4.52113935896,35.1640902212],[.00495725141,1.5710564165,491.5579294568],[.00274571975,1.84552258866,175.1660598002],[1.201232E-4,1.92059384991,1021.2488945514],[.00121801746,5.79754470298,76.2660712756],[.00100896068,.3770272493,73.297125859],[.00135134092,3.37220609835,39.6175083461],[7.571796E-5,
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1.07149207335,388.4651552382]]]]};e.DeltaT_EspenakMeeus=sa;e.DeltaT_JplHorizons=function(a){return sa(Math.min(a,17*365.24217))};var Wb=sa;e.SetDeltaTFunction=function(a){Wb=a};var O=function(a){if(a instanceof O)this.date=a.date,this.ut=a.ut,this.tt=a.tt;else if(a instanceof Date&&Number.isFinite(a.getTime()))this.date=a,this.ut=(a.getTime()-bd.getTime())/864E5,this.tt=Vb(this.ut);else if(Number.isFinite(a))this.date=new Date(bd.getTime()+864E5*a),this.ut=a,this.tt=Vb(this.ut);else throw"Argument must be a Date object, an AstroTime object, or a numeric UTC Julian date.";
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};O.FromTerrestrialTime=function(a){for(var b=new O(a);;){var c=a-b.tt;if(1E-12>Math.abs(c))return b;b=b.AddDays(c)}};O.prototype.toString=function(){return this.date.toISOString()};O.prototype.AddDays=function(a){return new O(this.ut+a)};e.AstroTime=O;e.MakeTime=v;var $a;e.e_tilt=da;e.CalcMoonCount=0;var cd=function(a,b,c,d,f,g){this.elat=a;this.elon=b;this.mlat=c;this.mlon=d;this.dist_km=f;this.diam_deg=g};e.LibrationInfo=cd;e.Libration=function(a){var b=v(a);a=b.tt/36525;var c=a*a,d=c*a,f=c*c,
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g=ea(b);b=g.geo_eclip_lon;var h=g.geo_eclip_lat;g=g.distance_au*e.KM_PER_AU;var l=1.543*e.DEG2RAD,k=e.DEG2RAD*Ga(93.272095+483202.0175233*a-.0036539*c-d/3526E3+f/86331E4),n=e.DEG2RAD*Ga(125.0445479-1934.1362891*a+.0020754*c+d/467441-f/60616E3),p=e.DEG2RAD*Ga(357.5291092+35999.0502909*a-1.536E-4*c+d/2449E4),q=e.DEG2RAD*Ga(134.9633964+477198.8675055*a+.0087414*c+d/69699-f/14712E3);d=e.DEG2RAD*Ga(297.8501921+445267.1114034*a-.0018819*c+d/545868-f/113065E3);c=1-.002516*a-7.4E-6*c;var t=b-n;f=Math.atan2(Math.sin(t)*
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Math.cos(h)*Math.cos(l)-Math.sin(h)*Math.sin(l),Math.cos(t)*Math.cos(h));var y=Fa(e.RAD2DEG*(f-k));l=Math.asin(-Math.sin(t)*Math.cos(h)*Math.sin(l)-Math.sin(h)*Math.cos(l));t=-.02752*Math.cos(q)+-.02245*Math.sin(k)+.00684*Math.cos(q-2*k)+-.00293*Math.cos(2*k)+-8.5E-4*Math.cos(2*k-2*d)+-5.4E-4*Math.cos(q-2*d)+-2E-4*Math.sin(q+k)+-2E-4*Math.cos(q+2*k)+-2E-4*Math.cos(q-k)+1.4E-4*Math.cos(q+2*k-2*d);var x=-.02816*Math.sin(q)+.02244*Math.cos(k)+-.00682*Math.sin(q-2*k)+-.00279*Math.sin(2*k)+-8.3E-4*Math.sin(2*
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k-2*d)+6.9E-4*Math.sin(q-2*d)+4E-4*Math.cos(q+k)+-2.5E-4*Math.sin(2*q)+-2.3E-4*Math.sin(q+2*k)+2E-4*Math.cos(q-k)+1.9E-4*Math.sin(q-k)+1.3E-4*Math.sin(q+2*k-2*d)+-1E-4*Math.cos(q-3*k);return new cd(e.RAD2DEG*l+(x*Math.cos(f)-t*Math.sin(f)),y+(-(.0252*c*Math.sin(p)+.00473*Math.sin(2*q-2*k)+-.00467*Math.sin(q)+.00396*Math.sin(e.DEG2RAD*(119.75+131.849*a))+.00276*Math.sin(2*q-2*d)+.00196*Math.sin(n)+-.00183*Math.cos(q-k)+.00115*Math.sin(q-2*d)+-9.6E-4*Math.sin(q-d)+4.6E-4*Math.sin(2*k-2*d)+-3.9E-4*Math.sin(q-
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k)+-3.2E-4*Math.sin(q-p-d)+2.7E-4*Math.sin(2*q-p-2*d)+2.3E-4*Math.sin(e.DEG2RAD*(72.56+20.186*a))+-1.4E-4*Math.sin(2*d)+1.4E-4*Math.cos(2*q-2*k)+-1.2E-4*Math.sin(q-2*k)+-1.2E-4*Math.sin(2*q)+1.1E-4*Math.sin(2*q-2*p-2*d))+(t*Math.cos(f)+x*Math.sin(f))*Math.tan(l)),e.RAD2DEG*h,e.RAD2DEG*b,g,2*e.RAD2DEG*Math.atan(1737.4/Math.sqrt(g*g-1737.4*1737.4)))};var eb;e.SiderealTime=bc;var E=function(a,b,c,d){this.x=a;this.y=b;this.z=c;this.t=d};E.prototype.Length=function(){return Math.hypot(this.x,this.y,this.z)};
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e.Vector=E;var I=function(a,b,c,d,f,g,h){this.x=a;this.y=b;this.z=c;this.vx=d;this.vy=f;this.vz=g;this.t=h};e.StateVector=I;var Ba=function(a,b,c){this.lat=w(a);this.lon=w(b);this.dist=w(c)};e.Spherical=Ba;var gb=function(a,b,c,d){this.ra=w(a);this.dec=w(b);this.dist=w(c);this.vec=d};e.EquatorialCoordinates=gb;var J=function(a){this.rot=a};e.RotationMatrix=J;e.MakeRotation=function(a){if(!od(a))throw"Argument must be a [3][3] array of numbers";return new J(a)};var ec=function(a,b,c,d){this.azimuth=
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e.Vector=E;var I=function(a,b,c,d,f,g,h){this.x=a;this.y=b;this.z=c;this.vx=d;this.vy=f;this.vz=g;this.t=h};e.StateVector=I;var Ba=function(a,b,c){this.lat=w(a);this.lon=w(b);this.dist=w(c)};e.Spherical=Ba;var gb=function(a,b,c,d){this.ra=w(a);this.dec=w(b);this.dist=w(c);this.vec=d};e.EquatorialCoordinates=gb;var J=function(a){this.rot=a};e.RotationMatrix=J;e.MakeRotation=function(a){if(!pd(a))throw"Argument must be a [3][3] array of numbers";return new J(a)};var ec=function(a,b,c,d){this.azimuth=
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w(a);this.altitude=w(b);this.ra=w(c);this.dec=w(d)};e.HorizontalCoordinates=ec;var gc=function(a,b,c){this.vec=a;this.elat=w(b);this.elon=w(c)};e.EclipticCoordinates=gc;e.Horizon=hb;var zb=function(a,b,c){this.latitude=a;this.longitude=b;this.height=c;za(this)};e.Observer=zb;e.SunPosition=fc;e.Equator=Pa;e.ObserverVector=function(a,b,c){a=v(a);var d=ca(a);b=xb(b,d).pos;c||(b=fb(b,a,F.Into2000));return yb(b,a)};e.ObserverState=function(a,b,c){a=v(a);var d=ca(a);b=xb(b,d);b=new I(b.pos[0],b.pos[1],
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b.pos[2],b.vel[0],b.vel[1],b.vel[2],a);return c?b:(c=F.Into2000,c===F.Into2000?(d=Na(a,c),b=Ea(d,b),a=Ma(a,c),a=Ea(a,b)):(d=Ma(a,c),b=Ea(d,b),a=Na(a,c),a=Ea(a,b)),a)};e.VectorObserver=function(a,b){var c=ca(a.t),d=[a.x,a.y,a.z];b||(d=wa(d,a.t,F.From2000),d=xa(d,a.t,F.From2000));b=d[0]*e.KM_PER_AU;var f=d[1]*e.KM_PER_AU;d=d[2]*e.KM_PER_AU;a=Math.hypot(b,f);if(1E-6>a){c=0;var g=0<d?90:-90;d=Math.abs(d)-6356.751857971648}else{for(c=e.RAD2DEG*Math.atan2(f,b)-15*c;-180>=c;)c+=360;for(;180<c;)c-=360;g=
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Math.atan2(d,a);for(var h,l=0;;){if(10<++l)throw"inverse_terra failed to converge.";b=Math.cos(g);f=Math.sin(g);var k=b*b,n=f*f,p=k+.9933056020041345*n;h=Math.sqrt(p);var q=-42.69778487239616*f*b/h-d*b+a*f;if(1E-8>Math.abs(q))break;g-=q/(-42.69778487239616*((k-n)/h-n*k*-.006694397995865464/(-42.69778487239616*p))+d*f+a*b)}g*=e.RAD2DEG;h=6378.1366/h;d=Math.abs(f)>Math.abs(b)?d/f-.9933056020041345*h:a/b-h}return new zb(g,c,1E3*d)};e.ObserverGravity=function(a,b){a=Math.sin(a*e.DEG2RAD);a*=a;return 9.7803253359*
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@@ -192,7 +192,7 @@ Math.atan2(d,a);for(var h,l=0;;){if(10<++l)throw"inverse_terra failed to converg
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a.x,this.y-a.y,this.z-a.z)};B.prototype.incr=function(a){this.x+=a.x;this.y+=a.y;this.z+=a.z};B.prototype.decr=function(a){this.x-=a.x;this.y-=a.y;this.z-=a.z};B.prototype.mul=function(a){return new B(a*this.x,a*this.y,a*this.z)};B.prototype.div=function(a){return new B(this.x/a,this.y/a,this.z/a)};B.prototype.mean=function(a){return new B((this.x+a.x)/2,(this.y+a.y)/2,(this.z+a.z)/2)};B.prototype.neg=function(){return new B(-this.x,-this.y,-this.z)};var X=function(a,b,c){this.tt=a;this.r=b;this.v=
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c};X.prototype.clone=function(){return new X(this.tt,this.r,this.v)};X.prototype.sub=function(a){return new X(this.tt,this.r.sub(a.r),this.v.sub(a.v))};var Da=function(a){var b=new X(a,new B(0,0,0),new B(0,0,0));this.Jupiter=R(b,a,m.Jupiter,2.825345909524226E-7);this.Saturn=R(b,a,m.Saturn,8.459715185680659E-8);this.Uranus=R(b,a,m.Uranus,1.292024916781969E-8);this.Neptune=R(b,a,m.Neptune,1.524358900784276E-8);this.Jupiter.r.decr(b.r);this.Jupiter.v.decr(b.v);this.Saturn.r.decr(b.r);this.Saturn.v.decr(b.v);
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this.Uranus.r.decr(b.r);this.Uranus.v.decr(b.v);this.Neptune.r.decr(b.r);this.Neptune.v.decr(b.v);this.Sun=new X(a,b.r.mul(-1),b.v.mul(-1))};Da.prototype.Acceleration=function(a){var b=Ta(a,2.959122082855911E-4,this.Sun.r);b.incr(Ta(a,2.825345909524226E-7,this.Jupiter.r));b.incr(Ta(a,8.459715185680659E-8,this.Saturn.r));b.incr(Ta(a,1.292024916781969E-8,this.Uranus.r));b.incr(Ta(a,1.524358900784276E-8,this.Neptune.r));return b};var Ua=function(a,b,c,d){this.tt=a;this.r=b;this.v=c;this.a=d};Ua.prototype.clone=
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function(){return new Ua(this.tt,this.r.clone(),this.v.clone(),this.a.clone())};var ic=function(a,b){this.bary=a;this.grav=b},Ib=[],pd=new J([[.999432765338654,-.0336771074697641,0],[.0303959428906285,.902057912352809,.430543388542295],[-.0144994559663353,-.430299169409101,.902569881273754]]),tb=[{mu:2.82489428433814E-7,al:[1.446213296021224,3.5515522861824],a:[[.0028210960212903,0,0]],l:[[-1.925258348666E-4,4.9369589722645,.01358483658305],[-9.70803596076E-5,4.3188796477322,.01303413843243],[-8.988174165E-5,
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function(){return new Ua(this.tt,this.r.clone(),this.v.clone(),this.a.clone())};var ic=function(a,b){this.bary=a;this.grav=b},Ib=[],qd=new J([[.999432765338654,-.0336771074697641,0],[.0303959428906285,.902057912352809,.430543388542295],[-.0144994559663353,-.430299169409101,.902569881273754]]),tb=[{mu:2.82489428433814E-7,al:[1.446213296021224,3.5515522861824],a:[[.0028210960212903,0,0]],l:[[-1.925258348666E-4,4.9369589722645,.01358483658305],[-9.70803596076E-5,4.3188796477322,.01303413843243],[-8.988174165E-5,
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1.9080016428617,.00305064867158],[-5.53101050262E-5,1.4936156681569,.01293892891155]],z:[[.0041510849668155,4.089939635545,-.01290686414666],[6.260521444113E-4,1.446188898627,3.5515522949802],[3.52747346169E-5,2.1256287034578,1.2727416567E-4]],zeta:[[3.142172466014E-4,2.7964219722923,-.002315096098],[9.04169207946E-5,1.0477061879627,-5.6920638196E-4]]},{mu:2.82483274392893E-7,al:[-.3735263437471362,1.76932271112347],a:[[.0044871037804314,0,0],[4.324367498E-7,1.819645606291,1.7822295777568]],l:[[8.576433172936E-4,
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4.3188693178264,.01303413830805],[4.549582875086E-4,1.4936531751079,.01293892881962],[3.248939825174E-4,1.8196494533458,1.7822295777568],[-3.074250079334E-4,4.9377037005911,.01358483286724],[1.982386144784E-4,1.907986905476,.00305101212869],[1.834063551804E-4,2.1402853388529,.00145009789338],[-1.434383188452E-4,5.622214036663,.89111478887838],[-7.71939140944E-5,4.300272437235,2.6733443704266]],z:[[-.0093589104136341,4.0899396509039,-.01290686414666],[2.988994545555E-4,5.9097265185595,1.7693227079462],
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[2.13903639035E-4,2.1256289300016,1.2727418407E-4],[1.980963564781E-4,2.743516829265,6.7797343009E-4],[1.210388158965E-4,5.5839943711203,3.20566149E-5],[8.37042048393E-5,1.6094538368039,-.90402165808846],[8.23525166369E-5,1.4461887708689,3.5515522949802]],zeta:[[.0040404917832303,1.0477063169425,-5.692064054E-4],[2.200421034564E-4,3.3368857864364,-1.2491307307E-4],[1.662544744719E-4,2.4134862374711,0],[5.90282470983E-5,5.9719930968366,-3.056160225E-5]]},{mu:2.82498184184723E-7,al:[.2874089391143348,
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@@ -204,38 +204,39 @@ z:[[.0014289811307319,2.1256295942739,1.2727413029E-4],[7.71093122676E-4,5.58363
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oa;e.CorrectLightTravel=lc;var nc=function(a,b,c,d){this.observerBody=a;this.targetBody=b;this.aberration=c;this.observerPos=d};nc.prototype.Position=function(a){this.aberration&&(this.observerPos=Z(this.observerBody,a));var b=Z(this.targetBody,a);return new E(b.x-this.observerPos.x,b.y-this.observerPos.y,b.z-this.observerPos.z,a)};e.BackdatePosition=mc;e.GeoVector=W;e.BaryState=function(a,b){b=v(b);if(a===m.SSB)return new I(0,0,0,0,0,0,b);if(a===m.Pluto)return Hb(b,!1);var c=new Da(b.tt);switch(a){case m.Sun:return pa(c.Sun,
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b);case m.Jupiter:return pa(c.Jupiter,b);case m.Saturn:return pa(c.Saturn,b);case m.Uranus:return pa(c.Uranus,b);case m.Neptune:return pa(c.Neptune,b);case m.Moon:case m.EMB:var d=Sa(M[m.Earth],b.tt);a=a===m.Moon?Ra(b):Bb(b);return new I(a.x+c.Sun.r.x+d.r.x,a.y+c.Sun.r.y+d.r.y,a.z+c.Sun.r.z+d.r.z,a.vx+c.Sun.v.x+d.v.x,a.vy+c.Sun.v.y+d.v.y,a.vz+c.Sun.v.z+d.v.z,b)}if(a in M)return a=Sa(M[a],b.tt),new I(c.Sun.r.x+a.r.x,c.Sun.r.y+a.r.y,c.Sun.r.z+a.r.z,c.Sun.v.x+a.v.x,c.Sun.v.y+a.v.y,c.Sun.v.z+a.v.z,b);
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throw'BaryState: Unsupported body "'+a+'"';};e.HelioState=mb;e.Search=K;e.SearchSunLongitude=oc;e.PairLongitude=Jb;e.AngleFromSun=Ha;e.EclipticLongitude=qa;var pc=function(a,b,c,d,f,g,h,l){this.time=a;this.mag=b;this.phase_angle=c;this.helio_dist=d;this.geo_dist=f;this.gc=g;this.hc=h;this.ring_tilt=l;this.phase_fraction=(1+Math.cos(e.DEG2RAD*c))/2};e.IlluminationInfo=pc;e.Illumination=nb;e.SearchRelativeLongitude=Ia;e.MoonPhase=Kb;e.SearchMoonPhase=Wa;var rc=function(a,b){this.quarter=a;this.time=
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b};e.MoonQuarter=rc;e.SearchMoonQuarter=qc;e.NextMoonQuarter=function(a){a=new Date(a.time.date.getTime()+5184E5);return qc(a)};e.SearchRiseSet=function(a,b,c,d,f){a:switch(a){case m.Sun:var g=Lc;break a;case m.Moon:g=Bd;break a;default:g=0}return sc(a,b,c,d,f,g,-Cd)};e.SearchAltitude=function(a,b,c,d,f,g){if(!Number.isFinite(g)||-90>g||90<g)throw"Invalid altitude angle: "+g;return sc(a,b,c,d,f,0,g)};var sd=function(a,b,c,d){this.tx=a;this.ty=b;this.ax=c;this.ay=d},ed=function(a,b){this.time=a;this.hor=
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b};e.HourAngleEvent=ed;e.SearchHourAngle=function(a,b,c,d,f){f=void 0===f?1:f;za(b);d=v(d);var g=0;if(a===m.Earth)throw"Cannot search for hour angle of the Earth.";w(c);if(0>c||24<=c)throw"Invalid hour angle "+c;w(f);if(0===f)throw"Direction must be positive or negative.";for(;;){++g;var h=ca(d),l=Pa(a,d,b,!0,!0);h=(c+l.ra-b.longitude/15-h)%24;1===g?0<f?0>h&&(h+=24):0<h&&(h-=24):-12>h?h+=24:12<h&&(h-=24);if(.1>3600*Math.abs(h))return a=hb(d,b,l.ra,l.dec,"normal"),new ed(d,a);d=d.AddDays(h/24*.9972695717592592)}};
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e.HourAngle=function(a,b,c){var d=v(b);b=bc(d);a=Pa(a,d,c,!0,!0);c=(c.longitude/15+b-a.ra)%24;0>c&&(c+=24);return c};var fd=function(a,b,c,d){this.mar_equinox=a;this.jun_solstice=b;this.sep_equinox=c;this.dec_solstice=d};e.SeasonInfo=fd;e.Seasons=function(a){function b(h,l,k){l=new Date(Date.UTC(a,l-1,k));h=oc(h,l,20);if(!h)throw"Cannot find season change near "+l.toISOString();return h}a instanceof Date&&Number.isFinite(a.getTime())&&(a=a.getUTCFullYear());if(!Number.isSafeInteger(a))throw"Cannot calculate seasons because year argument "+
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a+" is neither a Date nor a safe integer.";var c=b(0,3,10),d=b(90,6,10),f=b(180,9,10),g=b(270,12,10);return new fd(c,d,f,g)};var uc=function(a,b,c,d){this.time=a;this.visibility=b;this.elongation=c;this.ecliptic_separation=d};e.ElongationEvent=uc;e.Elongation=tc;e.SearchMaxElongation=function(a,b){function c(n){var p=n.AddDays(-.005);n=n.AddDays(.005);p=Ha(a,p);n=Ha(a,n);return(p-n)/.01}b=v(b);var d={Mercury:{s1:50,s2:85},Venus:{s1:40,s2:50}}[a];if(!d)throw"SearchMaxElongation works for Mercury and Venus only.";
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for(var f=0;2>=++f;){var g=qa(a,b),h=qa(m.Earth,b),l=Fa(g-h),k=g=h=void 0;l>=-d.s1&&l<+d.s1?(k=0,h=+d.s1,g=+d.s2):l>=+d.s2||l<-d.s2?(k=0,h=-d.s2,g=-d.s1):0<=l?(k=-Va(a)/4,h=+d.s1,g=+d.s2):(k=-Va(a)/4,h=-d.s2,g=-d.s1);l=b.AddDays(k);h=Ia(a,h,l);g=Ia(a,g,h);l=c(h);if(0<=l)throw"SearchMaxElongation: internal error: m1 = "+l;k=c(g);if(0>=k)throw"SearchMaxElongation: internal error: m2 = "+k;l=K(c,h,g,{init_f1:l,init_f2:k,dt_tolerance_seconds:10});if(!l)throw"SearchMaxElongation: failed search iter "+
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f+" (t1="+h.toString()+", t2="+g.toString()+")";if(l.tt>=b.tt)return tc(a,l);b=g.AddDays(1)}throw"SearchMaxElongation: failed to find event after 2 tries.";};e.SearchPeakMagnitude=function(a,b){function c(k){var n=k.AddDays(-.005);k=k.AddDays(.005);n=nb(a,n).mag;return(nb(a,k).mag-n)/.01}if(a!==m.Venus)throw"SearchPeakMagnitude currently works for Venus only.";b=v(b);for(var d=0;2>=++d;){var f=qa(a,b),g=qa(m.Earth,b),h=Fa(f-g),l=f=g=void 0;-10<=h&&10>h?(l=0,g=10,f=30):30<=h||-30>h?(l=0,g=-30,f=-10):
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0<=h?(l=-Va(a)/4,g=10,f=30):(l=-Va(a)/4,g=-30,f=-10);h=b.AddDays(l);g=Ia(a,g,h);f=Ia(a,f,g);h=c(g);if(0<=h)throw"SearchPeakMagnitude: internal error: m1 = "+h;l=c(f);if(0>=l)throw"SearchPeakMagnitude: internal error: m2 = "+l;h=K(c,g,f,{init_f1:h,init_f2:l,dt_tolerance_seconds:10});if(!h)throw"SearchPeakMagnitude: failed search iter "+d+" (t1="+g.toString()+", t2="+f.toString()+")";if(h.tt>=b.tt)return nb(a,h);b=f.AddDays(1)}throw"SearchPeakMagnitude: failed to find event after 2 tries.";};var Ja;
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(function(a){a[a.Pericenter=0]="Pericenter";a[a.Apocenter=1]="Apocenter"})(Ja=e.ApsisKind||(e.ApsisKind={}));var Xa=function(a,b,c){this.time=a;this.kind=b;this.dist_au=c;this.dist_km=c*e.KM_PER_AU};e.Apsis=Xa;e.SearchLunarApsis=vc;e.NextLunarApsis=function(a){var b=vc(a.time.AddDays(11));if(1!==b.kind+a.kind)throw"NextLunarApsis INTERNAL ERROR: did not find alternating apogee/perigee: prev="+a.kind+" @ "+a.time.toString()+", next="+b.kind+" @ "+b.time.toString();return b};e.SearchPlanetApsis=xc;
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e.NextPlanetApsis=function(a,b){if(b.kind!==Ja.Pericenter&&b.kind!==Ja.Apocenter)throw"Invalid apsis kind: "+b.kind;var c=b.time.AddDays(.25*aa[a].OrbitalPeriod);a=xc(a,c);if(1!==a.kind+b.kind)throw"Internal error: previous apsis was "+b.kind+", but found "+a.kind+" for next apsis.";return a};e.InverseRotation=Ka;e.CombineRotation=ja;e.IdentityMatrix=function(){return new J([[1,0,0],[0,1,0],[0,0,1]])};e.Pivot=function(a,b,c){if(0!==b&&1!==b&&2!==b)throw"Invalid axis "+b+". Must be [0, 1, 2].";var d=
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w(c)*e.DEG2RAD;c=Math.cos(d);d=Math.sin(d);var f=(b+1)%3,g=(b+2)%3,h=[[0,0,0],[0,0,0],[0,0,0]];h[f][f]=c*a.rot[f][f]-d*a.rot[f][g];h[f][g]=d*a.rot[f][f]+c*a.rot[f][g];h[f][b]=a.rot[f][b];h[g][f]=c*a.rot[g][f]-d*a.rot[g][g];h[g][g]=d*a.rot[g][f]+c*a.rot[g][g];h[g][b]=a.rot[g][b];h[b][f]=c*a.rot[b][f]-d*a.rot[b][g];h[b][g]=d*a.rot[b][f]+c*a.rot[b][g];h[b][b]=a.rot[b][b];return new J(h)};e.VectorFromSphere=lb;e.EquatorFromVector=Mb;e.SphereFromVector=Nb;e.HorizonFromVector=function(a,b){a=Nb(a);a.lon=
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|
yc(a.lon);a.lat+=Oa(b,a.lat);return a};e.VectorFromHorizon=function(a,b,c){b=v(b);var d=yc(a.lon);c=a.lat+zc(c,a.lat);a=new Ba(c,d,a.dist);return lb(a,b)};e.Refraction=Oa;e.InverseRefraction=zc;e.RotateVector=Ya;e.RotateState=Ea;e.Rotation_EQJ_ECL=Ac;e.Rotation_ECL_EQJ=function(){return new J([[1,0,0],[0,.9174821430670688,.3977769691083922],[0,-.3977769691083922,.9174821430670688]])};e.Rotation_EQJ_EQD=ob;e.Rotation_EQJ_ECT=function(a){var b=v(a);a=ob(b);b=Hc(b);return ja(a,b)};e.Rotation_ECT_EQJ=
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function(a){var b=v(a);a=Gc(b);b=pb(b);return ja(a,b)};e.Rotation_EQD_EQJ=pb;e.Rotation_EQD_HOR=Ob;e.Rotation_HOR_EQD=Bc;e.Rotation_HOR_EQJ=Cc;e.Rotation_EQJ_HOR=function(a,b){a=Cc(a,b);return Ka(a)};e.Rotation_EQD_ECL=Dc;e.Rotation_ECL_EQD=Ec;e.Rotation_ECL_HOR=Fc;e.Rotation_HOR_ECL=function(a,b){a=Fc(a,b);return Ka(a)};e.Rotation_EQJ_GAL=function(){return new J([[-.0548624779711344,.4941095946388765,-.8676668813529025],[-.8734572784246782,-.4447938112296831,-.1980677870294097],[-.483800052994852,
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|
.7470034631630423,.4559861124470794]])};e.Rotation_GAL_EQJ=function(){return new J([[-.0548624779711344,-.8734572784246782,-.483800052994852],[.4941095946388765,-.4447938112296831,.7470034631630423],[-.8676668813529025,-.1980677870294097,.4559861124470794]])};e.Rotation_ECT_EQD=Gc;e.Rotation_EQD_ECT=Hc;var Dd=[["And","Andromeda"],["Ant","Antila"],["Aps","Apus"],["Aql","Aquila"],["Aqr","Aquarius"],["Ara","Ara"],["Ari","Aries"],["Aur","Auriga"],["Boo","Bootes"],["Cae","Caelum"],["Cam","Camelopardis"],
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|
["Cap","Capricornus"],["Car","Carina"],["Cas","Cassiopeia"],["Cen","Centaurus"],["Cep","Cepheus"],["Cet","Cetus"],["Cha","Chamaeleon"],["Cir","Circinus"],["CMa","Canis Major"],["CMi","Canis Minor"],["Cnc","Cancer"],["Col","Columba"],["Com","Coma Berenices"],["CrA","Corona Australis"],["CrB","Corona Borealis"],["Crt","Crater"],["Cru","Crux"],["Crv","Corvus"],["CVn","Canes Venatici"],["Cyg","Cygnus"],["Del","Delphinus"],["Dor","Dorado"],["Dra","Draco"],["Equ","Equuleus"],["Eri","Eridanus"],["For","Fornax"],
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|
["Gem","Gemini"],["Gru","Grus"],["Her","Hercules"],["Hor","Horologium"],["Hya","Hydra"],["Hyi","Hydrus"],["Ind","Indus"],["Lac","Lacerta"],["Leo","Leo"],["Lep","Lepus"],["Lib","Libra"],["LMi","Leo Minor"],["Lup","Lupus"],["Lyn","Lynx"],["Lyr","Lyra"],["Men","Mensa"],["Mic","Microscopium"],["Mon","Monoceros"],["Mus","Musca"],["Nor","Norma"],["Oct","Octans"],["Oph","Ophiuchus"],["Ori","Orion"],["Pav","Pavo"],["Peg","Pegasus"],["Per","Perseus"],["Phe","Phoenix"],["Pic","Pictor"],["PsA","Pisces Austrinus"],
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|
["Psc","Pisces"],["Pup","Puppis"],["Pyx","Pyxis"],["Ret","Reticulum"],["Scl","Sculptor"],["Sco","Scorpius"],["Sct","Scutum"],["Ser","Serpens"],["Sex","Sextans"],["Sge","Sagitta"],["Sgr","Sagittarius"],["Tau","Taurus"],["Tel","Telescopium"],["TrA","Triangulum Australe"],["Tri","Triangulum"],["Tuc","Tucana"],["UMa","Ursa Major"],["UMi","Ursa Minor"],["Vel","Vela"],["Vir","Virgo"],["Vol","Volans"],["Vul","Vulpecula"]],Ed=[[83,0,8640,2112],[83,2880,5220,2076],[83,7560,8280,2068],[83,6480,7560,2064],[15,
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|
|
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|
0,2880,2040],[10,3300,3840,1968],[15,0,1800,1920],[10,3840,5220,1920],[83,6300,6480,1920],[33,7260,7560,1920],[15,0,1263,1848],[10,4140,4890,1848],[83,5952,6300,1800],[15,7260,7440,1800],[10,2868,3300,1764],[33,3300,4080,1764],[83,4680,5952,1680],[13,1116,1230,1632],[33,7350,7440,1608],[33,4080,4320,1596],[15,0,120,1584],[83,5040,5640,1584],[15,8490,8640,1584],[33,4320,4860,1536],[33,4860,5190,1512],[15,8340,8490,1512],[10,2196,2520,1488],[33,7200,7350,1476],[15,7393.2,7416,1462],[10,2520,2868,1440],
|
|
|
|
|
[82,2868,3030,1440],[33,7116,7200,1428],[15,7200,7393.2,1428],[15,8232,8340,1418],[13,0,876,1404],[33,6990,7116,1392],[13,612,687,1380],[13,876,1116,1368],[10,1116,1140,1368],[15,8034,8232,1350],[10,1800,2196,1344],[82,5052,5190,1332],[33,5190,6990,1332],[10,1140,1200,1320],[15,7968,8034,1320],[15,7416,7908,1316],[13,0,612,1296],[50,2196,2340,1296],[82,4350,4860,1272],[33,5490,5670,1272],[15,7908,7968,1266],[10,1200,1800,1260],[13,8232,8400,1260],[33,5670,6120,1236],[62,735,906,1212],[33,6120,6564,
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|
|
|
|
1212],[13,0,492,1200],[62,492,600,1200],[50,2340,2448,1200],[13,8400,8640,1200],[82,4860,5052,1164],[13,0,402,1152],[13,8490,8640,1152],[39,6543,6564,1140],[33,6564,6870,1140],[30,6870,6900,1140],[62,600,735,1128],[82,3030,3300,1128],[13,60,312,1104],[82,4320,4350,1080],[50,2448,2652,1068],[30,7887,7908,1056],[30,7875,7887,1050],[30,6900,6984,1044],[82,3300,3660,1008],[82,3660,3882,960],[8,5556,5670,960],[39,5670,5880,960],[50,3330,3450,954],[0,0,906,882],[62,906,924,882],[51,6969,6984,876],[62,1620,
|
|
|
|
|
1689,864],[30,7824,7875,864],[44,7875,7920,864],[7,2352,2652,852],[50,2652,2790,852],[0,0,720,840],[44,7920,8214,840],[44,8214,8232,828],[0,8232,8460,828],[62,924,978,816],[82,3882,3960,816],[29,4320,4440,816],[50,2790,3330,804],[48,3330,3558,804],[0,258,507,792],[8,5466,5556,792],[0,8460,8550,770],[29,4440,4770,768],[0,8550,8640,752],[29,5025,5052,738],[80,870,978,736],[62,978,1620,736],[7,1620,1710,720],[51,6543,6969,720],[82,3960,4320,696],[30,7080,7530,696],[7,1710,2118,684],[48,3558,3780,684],
|
|
|
|
|
[29,4770,5025,684],[0,0,24,672],[80,507,600,672],[7,2118,2352,672],[37,2838,2880,672],[30,7530,7824,672],[30,6933,7080,660],[80,690,870,654],[25,5820,5880,648],[8,5430,5466,624],[25,5466,5820,624],[51,6612,6792,624],[48,3870,3960,612],[51,6792,6933,612],[80,600,690,600],[66,258,306,570],[48,3780,3870,564],[87,7650,7710,564],[77,2052,2118,548],[0,24,51,528],[73,5730,5772,528],[37,2118,2238,516],[87,7140,7290,510],[87,6792,6930,506],[0,51,306,504],[87,7290,7404,492],[37,2811,2838,480],[87,7404,7650,
|
|
|
|
|
468],[87,6930,7140,460],[6,1182,1212,456],[75,6792,6840,444],[59,2052,2076,432],[37,2238,2271,420],[75,6840,7140,388],[77,1788,1920,384],[39,5730,5790,384],[75,7140,7290,378],[77,1662,1788,372],[77,1920,2016,372],[23,4620,4860,360],[39,6210,6570,344],[23,4272,4620,336],[37,2700,2811,324],[39,6030,6210,308],[61,0,51,300],[77,2016,2076,300],[37,2520,2700,300],[61,7602,7680,300],[37,2271,2496,288],[39,6570,6792,288],[31,7515,7578,284],[61,7578,7602,284],[45,4146,4272,264],[59,2247,2271,240],[37,2496,
|
|
|
|
|
2520,240],[21,2811,2853,240],[61,8580,8640,240],[6,600,1182,238],[31,7251,7308,204],[8,4860,5430,192],[61,8190,8580,180],[21,2853,3330,168],[45,3330,3870,168],[58,6570,6718.4,150],[3,6718.4,6792,150],[31,7500,7515,144],[20,2520,2526,132],[73,6570,6633,108],[39,5790,6030,96],[58,6570,6633,72],[61,7728,7800,66],[66,0,720,48],[73,6690,6792,48],[31,7308,7500,48],[34,7500,7680,48],[61,7680,7728,48],[61,7920,8190,48],[61,7800,7920,42],[20,2526,2592,36],[77,1290,1662,0],[59,1662,1680,0],[20,2592,2910,0],
|
|
|
|
|
[85,5280,5430,0],[58,6420,6570,0],[16,954,1182,-42],[77,1182,1290,-42],[73,5430,5856,-78],[59,1680,1830,-96],[59,2100,2247,-96],[73,6420,6468,-96],[73,6570,6690,-96],[3,6690,6792,-96],[66,8190,8580,-96],[45,3870,4146,-144],[85,4146,4260,-144],[66,0,120,-168],[66,8580,8640,-168],[85,5130,5280,-192],[58,5730,5856,-192],[3,7200,7392,-216],[4,7680,7872,-216],[58,6180,6468,-240],[54,2100,2910,-264],[35,1770,1830,-264],[59,1830,2100,-264],[41,2910,3012,-264],[74,3450,3870,-264],[85,4260,4620,-264],[58,
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|
|
|
|
6330,6360,-280],[3,6792,7200,-288.8],[35,1740,1770,-348],[4,7392,7680,-360],[73,6180,6570,-384],[72,6570,6792,-384],[41,3012,3090,-408],[58,5856,5895,-438],[41,3090,3270,-456],[26,3870,3900,-456],[71,5856,5895,-462],[47,5640,5730,-480],[28,4530,4620,-528],[85,4620,5130,-528],[41,3270,3510,-576],[16,600,954,-585.2],[35,954,1350,-585.2],[26,3900,4260,-588],[28,4260,4530,-588],[47,5130,5370,-588],[58,5856,6030,-590],[16,0,600,-612],[11,7680,7872,-612],[4,7872,8580,-612],[16,8580,8640,-612],[41,3510,
|
|
|
|
|
3690,-636],[35,1692,1740,-654],[46,1740,2202,-654],[11,7200,7680,-672],[41,3690,3810,-700],[41,4530,5370,-708],[47,5370,5640,-708],[71,5640,5760,-708],[35,1650,1692,-720],[58,6030,6336,-720],[76,6336,6420,-720],[41,3810,3900,-748],[19,2202,2652,-792],[41,4410,4530,-792],[41,3900,4410,-840],[36,1260,1350,-864],[68,3012,3372,-882],[35,1536,1650,-888],[76,6420,6900,-888],[65,7680,8280,-888],[70,8280,8400,-888],[36,1080,1260,-950],[1,3372,3960,-954],[70,0,600,-960],[36,600,1080,-960],[35,1392,1536,-960],
|
|
|
|
|
[70,8400,8640,-960],[14,5100,5370,-1008],[49,5640,5760,-1008],[71,5760,5911.5,-1008],[9,1740,1800,-1032],[22,1800,2370,-1032],[67,2880,3012,-1032],[35,1230,1392,-1056],[71,5911.5,6420,-1092],[24,6420,6900,-1092],[76,6900,7320,-1092],[53,7320,7680,-1092],[35,1080,1230,-1104],[9,1620,1740,-1116],[49,5520,5640,-1152],[63,0,840,-1156],[35,960,1080,-1176],[40,1470,1536,-1176],[9,1536,1620,-1176],[38,7680,7920,-1200],[67,2160,2880,-1218],[84,2880,2940,-1218],[35,870,960,-1224],[40,1380,1470,-1224],[63,
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|
|
|
|
0,660,-1236],[12,2160,2220,-1260],[84,2940,3042,-1272],[40,1260,1380,-1276],[32,1380,1440,-1276],[63,0,570,-1284],[35,780,870,-1296],[64,1620,1800,-1296],[49,5418,5520,-1296],[84,3042,3180,-1308],[12,2220,2340,-1320],[14,4260,4620,-1320],[49,5100,5418,-1320],[56,5418,5520,-1320],[32,1440,1560,-1356],[84,3180,3960,-1356],[14,3960,4050,-1356],[5,6300,6480,-1368],[78,6480,7320,-1368],[38,7920,8400,-1368],[40,1152,1260,-1380],[64,1800,1980,-1380],[12,2340,2460,-1392],[63,0,480,-1404],[35,480,780,-1404],
|
|
|
|
|
[63,8400,8640,-1404],[32,1560,1650,-1416],[56,5520,5911.5,-1440],[43,7320,7680,-1440],[64,1980,2160,-1464],[18,5460,5520,-1464],[5,5911.5,5970,-1464],[18,5370,5460,-1526],[5,5970,6030,-1526],[64,2160,2460,-1536],[12,2460,3252,-1536],[14,4050,4260,-1536],[27,4260,4620,-1536],[14,4620,5232,-1536],[18,4860,4920,-1560],[5,6030,6060,-1560],[40,780,1152,-1620],[69,1152,1650,-1620],[18,5310,5370,-1620],[5,6060,6300,-1620],[60,6300,6480,-1620],[81,7920,8400,-1620],[32,1650,2370,-1680],[18,4920,5310,-1680],
|
|
|
|
|
[79,5310,6120,-1680],[81,0,480,-1800],[42,1260,1650,-1800],[86,2370,3252,-1800],[12,3252,4050,-1800],[55,4050,4920,-1800],[60,6480,7680,-1800],[43,7680,8400,-1800],[81,8400,8640,-1800],[81,270,480,-1824],[42,0,1260,-1980],[17,2760,4920,-1980],[2,4920,6480,-1980],[52,1260,2760,-2040],[57,0,8640,-2160]],Tb,gd,hd=function(a,b,c,d){this.symbol=a;this.name=b;this.ra1875=c;this.dec1875=d};e.ConstellationInfo=hd;e.Constellation=function(a,b){w(a);w(b);if(-90>b||90<b)throw"Invalid declination angle. Must be -90..+90.";
|
|
|
|
|
a%=24;0>a&&(a+=24);Tb||(Tb=ob(new O(-45655.74141261017)),gd=new O(0));a=new Ba(b,15*a,1);a=lb(a,gd);a=Ya(Tb,a);a=Mb(a);b=10/240;for(var c=b/15,d=$jscomp.makeIterator(Ed),f=d.next();!f.done;f=d.next()){f=f.value;var g=f[1]*c,h=f[2]*c;if(f[3]*b<=a.dec&&g<=a.ra&&a.ra<h)return b=Dd[f[0]],new hd(b[0],b[1],a.ra,a.dec)}throw"Unable to find constellation for given coordinates.";};var S;(function(a){a.Penumbral="penumbral";a.Partial="partial";a.Annular="annular";a.Total="total"})(S=e.EclipseKind||(e.EclipseKind=
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|
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|
|
{}));var Nc=function(a,b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.sd_penum=d;this.sd_partial=f;this.sd_total=g};e.LunarEclipseInfo=Nc;var vd=function(a,b,c,d,f,g,h){this.time=a;this.u=b;this.r=c;this.k=d;this.p=f;this.target=g;this.dir=h};e.SearchLunarEclipse=Mc;var Pc=function(a,b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.distance=d;this.latitude=f;this.longitude=g};e.GlobalSolarEclipseInfo=Pc;e.NextLunarEclipse=function(a){a=v(a);a=a.AddDays(10);return Mc(a)};e.SearchGlobalSolarEclipse=
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|
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|
|
b};e.MoonQuarter=rc;e.SearchMoonQuarter=qc;e.NextMoonQuarter=function(a){a=new Date(a.time.date.getTime()+5184E5);return qc(a)};var ed=function(a,b,c){this.pressure=a;this.temperature=b;this.density=c};e.AtmosphereInfo=ed;e.Atmosphere=function(a){if(!Number.isFinite(a)||-500>a||1E5<a)throw"Invalid elevation: "+a;if(11E3>=a){var b=288.15-.0065*a;a=101325*Math.pow(288.15/b,-5.25577)}else 2E4>=a?(b=216.65,a=22632*Math.exp(-1.5768832E-4*(a-11E3))):(b=216.65+.001*(a-2E4),a=5474.87*Math.pow(216.65/b,34.16319));
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|
|
return new ed(a,b,a/b/(101325/288.15))};e.SearchRiseSet=function(a,b,c,d,f){a:switch(a){case m.Sun:var g=Lc;break a;case m.Moon:g=Cd;break a;default:g=0}return sc(a,b,c,d,f,g,-Dd)};e.SearchAltitude=function(a,b,c,d,f,g){if(!Number.isFinite(g)||-90>g||90<g)throw"Invalid altitude angle: "+g;return sc(a,b,c,d,f,0,g)};var td=function(a,b,c,d){this.tx=a;this.ty=b;this.ax=c;this.ay=d},fd=function(a,b){this.time=a;this.hor=b};e.HourAngleEvent=fd;e.SearchHourAngle=function(a,b,c,d,f){f=void 0===f?1:f;za(b);
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|
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|
|
d=v(d);var g=0;if(a===m.Earth)throw"Cannot search for hour angle of the Earth.";w(c);if(0>c||24<=c)throw"Invalid hour angle "+c;w(f);if(0===f)throw"Direction must be positive or negative.";for(;;){++g;var h=ca(d),l=Pa(a,d,b,!0,!0);h=(c+l.ra-b.longitude/15-h)%24;1===g?0<f?0>h&&(h+=24):0<h&&(h-=24):-12>h?h+=24:12<h&&(h-=24);if(.1>3600*Math.abs(h))return a=hb(d,b,l.ra,l.dec,"normal"),new fd(d,a);d=d.AddDays(h/24*.9972695717592592)}};e.HourAngle=function(a,b,c){var d=v(b);b=bc(d);a=Pa(a,d,c,!0,!0);c=
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|
|
|
(c.longitude/15+b-a.ra)%24;0>c&&(c+=24);return c};var gd=function(a,b,c,d){this.mar_equinox=a;this.jun_solstice=b;this.sep_equinox=c;this.dec_solstice=d};e.SeasonInfo=gd;e.Seasons=function(a){function b(h,l,k){l=new Date(Date.UTC(a,l-1,k));h=oc(h,l,20);if(!h)throw"Cannot find season change near "+l.toISOString();return h}a instanceof Date&&Number.isFinite(a.getTime())&&(a=a.getUTCFullYear());if(!Number.isSafeInteger(a))throw"Cannot calculate seasons because year argument "+a+" is neither a Date nor a safe integer.";
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|
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|
|
var c=b(0,3,10),d=b(90,6,10),f=b(180,9,10),g=b(270,12,10);return new gd(c,d,f,g)};var uc=function(a,b,c,d){this.time=a;this.visibility=b;this.elongation=c;this.ecliptic_separation=d};e.ElongationEvent=uc;e.Elongation=tc;e.SearchMaxElongation=function(a,b){function c(n){var p=n.AddDays(-.005);n=n.AddDays(.005);p=Ha(a,p);n=Ha(a,n);return(p-n)/.01}b=v(b);var d={Mercury:{s1:50,s2:85},Venus:{s1:40,s2:50}}[a];if(!d)throw"SearchMaxElongation works for Mercury and Venus only.";for(var f=0;2>=++f;){var g=
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|
|
|
|
qa(a,b),h=qa(m.Earth,b),l=Fa(g-h),k=g=h=void 0;l>=-d.s1&&l<+d.s1?(k=0,h=+d.s1,g=+d.s2):l>=+d.s2||l<-d.s2?(k=0,h=-d.s2,g=-d.s1):0<=l?(k=-Va(a)/4,h=+d.s1,g=+d.s2):(k=-Va(a)/4,h=-d.s2,g=-d.s1);l=b.AddDays(k);h=Ia(a,h,l);g=Ia(a,g,h);l=c(h);if(0<=l)throw"SearchMaxElongation: internal error: m1 = "+l;k=c(g);if(0>=k)throw"SearchMaxElongation: internal error: m2 = "+k;l=K(c,h,g,{init_f1:l,init_f2:k,dt_tolerance_seconds:10});if(!l)throw"SearchMaxElongation: failed search iter "+f+" (t1="+h.toString()+", t2="+
|
|
|
|
|
g.toString()+")";if(l.tt>=b.tt)return tc(a,l);b=g.AddDays(1)}throw"SearchMaxElongation: failed to find event after 2 tries.";};e.SearchPeakMagnitude=function(a,b){function c(k){var n=k.AddDays(-.005);k=k.AddDays(.005);n=nb(a,n).mag;return(nb(a,k).mag-n)/.01}if(a!==m.Venus)throw"SearchPeakMagnitude currently works for Venus only.";b=v(b);for(var d=0;2>=++d;){var f=qa(a,b),g=qa(m.Earth,b),h=Fa(f-g),l=f=g=void 0;-10<=h&&10>h?(l=0,g=10,f=30):30<=h||-30>h?(l=0,g=-30,f=-10):0<=h?(l=-Va(a)/4,g=10,f=30):
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|
|
|
|
(l=-Va(a)/4,g=-30,f=-10);h=b.AddDays(l);g=Ia(a,g,h);f=Ia(a,f,g);h=c(g);if(0<=h)throw"SearchPeakMagnitude: internal error: m1 = "+h;l=c(f);if(0>=l)throw"SearchPeakMagnitude: internal error: m2 = "+l;h=K(c,g,f,{init_f1:h,init_f2:l,dt_tolerance_seconds:10});if(!h)throw"SearchPeakMagnitude: failed search iter "+d+" (t1="+g.toString()+", t2="+f.toString()+")";if(h.tt>=b.tt)return nb(a,h);b=f.AddDays(1)}throw"SearchPeakMagnitude: failed to find event after 2 tries.";};var Ja;(function(a){a[a.Pericenter=
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|
0]="Pericenter";a[a.Apocenter=1]="Apocenter"})(Ja=e.ApsisKind||(e.ApsisKind={}));var Xa=function(a,b,c){this.time=a;this.kind=b;this.dist_au=c;this.dist_km=c*e.KM_PER_AU};e.Apsis=Xa;e.SearchLunarApsis=vc;e.NextLunarApsis=function(a){var b=vc(a.time.AddDays(11));if(1!==b.kind+a.kind)throw"NextLunarApsis INTERNAL ERROR: did not find alternating apogee/perigee: prev="+a.kind+" @ "+a.time.toString()+", next="+b.kind+" @ "+b.time.toString();return b};e.SearchPlanetApsis=xc;e.NextPlanetApsis=function(a,
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b){if(b.kind!==Ja.Pericenter&&b.kind!==Ja.Apocenter)throw"Invalid apsis kind: "+b.kind;var c=b.time.AddDays(.25*aa[a].OrbitalPeriod);a=xc(a,c);if(1!==a.kind+b.kind)throw"Internal error: previous apsis was "+b.kind+", but found "+a.kind+" for next apsis.";return a};e.InverseRotation=Ka;e.CombineRotation=ja;e.IdentityMatrix=function(){return new J([[1,0,0],[0,1,0],[0,0,1]])};e.Pivot=function(a,b,c){if(0!==b&&1!==b&&2!==b)throw"Invalid axis "+b+". Must be [0, 1, 2].";var d=w(c)*e.DEG2RAD;c=Math.cos(d);
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d=Math.sin(d);var f=(b+1)%3,g=(b+2)%3,h=[[0,0,0],[0,0,0],[0,0,0]];h[f][f]=c*a.rot[f][f]-d*a.rot[f][g];h[f][g]=d*a.rot[f][f]+c*a.rot[f][g];h[f][b]=a.rot[f][b];h[g][f]=c*a.rot[g][f]-d*a.rot[g][g];h[g][g]=d*a.rot[g][f]+c*a.rot[g][g];h[g][b]=a.rot[g][b];h[b][f]=c*a.rot[b][f]-d*a.rot[b][g];h[b][g]=d*a.rot[b][f]+c*a.rot[b][g];h[b][b]=a.rot[b][b];return new J(h)};e.VectorFromSphere=lb;e.EquatorFromVector=Mb;e.SphereFromVector=Nb;e.HorizonFromVector=function(a,b){a=Nb(a);a.lon=yc(a.lon);a.lat+=Oa(b,a.lat);
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return a};e.VectorFromHorizon=function(a,b,c){b=v(b);var d=yc(a.lon);c=a.lat+zc(c,a.lat);a=new Ba(c,d,a.dist);return lb(a,b)};e.Refraction=Oa;e.InverseRefraction=zc;e.RotateVector=Ya;e.RotateState=Ea;e.Rotation_EQJ_ECL=Ac;e.Rotation_ECL_EQJ=function(){return new J([[1,0,0],[0,.9174821430670688,.3977769691083922],[0,-.3977769691083922,.9174821430670688]])};e.Rotation_EQJ_EQD=ob;e.Rotation_EQJ_ECT=function(a){var b=v(a);a=ob(b);b=Hc(b);return ja(a,b)};e.Rotation_ECT_EQJ=function(a){var b=v(a);a=Gc(b);
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b=pb(b);return ja(a,b)};e.Rotation_EQD_EQJ=pb;e.Rotation_EQD_HOR=Ob;e.Rotation_HOR_EQD=Bc;e.Rotation_HOR_EQJ=Cc;e.Rotation_EQJ_HOR=function(a,b){a=Cc(a,b);return Ka(a)};e.Rotation_EQD_ECL=Dc;e.Rotation_ECL_EQD=Ec;e.Rotation_ECL_HOR=Fc;e.Rotation_HOR_ECL=function(a,b){a=Fc(a,b);return Ka(a)};e.Rotation_EQJ_GAL=function(){return new J([[-.0548624779711344,.4941095946388765,-.8676668813529025],[-.8734572784246782,-.4447938112296831,-.1980677870294097],[-.483800052994852,.7470034631630423,.4559861124470794]])};
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e.Rotation_GAL_EQJ=function(){return new J([[-.0548624779711344,-.8734572784246782,-.483800052994852],[.4941095946388765,-.4447938112296831,.7470034631630423],[-.8676668813529025,-.1980677870294097,.4559861124470794]])};e.Rotation_ECT_EQD=Gc;e.Rotation_EQD_ECT=Hc;var Ed=[["And","Andromeda"],["Ant","Antila"],["Aps","Apus"],["Aql","Aquila"],["Aqr","Aquarius"],["Ara","Ara"],["Ari","Aries"],["Aur","Auriga"],["Boo","Bootes"],["Cae","Caelum"],["Cam","Camelopardis"],["Cap","Capricornus"],["Car","Carina"],
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["Cas","Cassiopeia"],["Cen","Centaurus"],["Cep","Cepheus"],["Cet","Cetus"],["Cha","Chamaeleon"],["Cir","Circinus"],["CMa","Canis Major"],["CMi","Canis Minor"],["Cnc","Cancer"],["Col","Columba"],["Com","Coma Berenices"],["CrA","Corona Australis"],["CrB","Corona Borealis"],["Crt","Crater"],["Cru","Crux"],["Crv","Corvus"],["CVn","Canes Venatici"],["Cyg","Cygnus"],["Del","Delphinus"],["Dor","Dorado"],["Dra","Draco"],["Equ","Equuleus"],["Eri","Eridanus"],["For","Fornax"],["Gem","Gemini"],["Gru","Grus"],
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|
["Her","Hercules"],["Hor","Horologium"],["Hya","Hydra"],["Hyi","Hydrus"],["Ind","Indus"],["Lac","Lacerta"],["Leo","Leo"],["Lep","Lepus"],["Lib","Libra"],["LMi","Leo Minor"],["Lup","Lupus"],["Lyn","Lynx"],["Lyr","Lyra"],["Men","Mensa"],["Mic","Microscopium"],["Mon","Monoceros"],["Mus","Musca"],["Nor","Norma"],["Oct","Octans"],["Oph","Ophiuchus"],["Ori","Orion"],["Pav","Pavo"],["Peg","Pegasus"],["Per","Perseus"],["Phe","Phoenix"],["Pic","Pictor"],["PsA","Pisces Austrinus"],["Psc","Pisces"],["Pup","Puppis"],
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["Pyx","Pyxis"],["Ret","Reticulum"],["Scl","Sculptor"],["Sco","Scorpius"],["Sct","Scutum"],["Ser","Serpens"],["Sex","Sextans"],["Sge","Sagitta"],["Sgr","Sagittarius"],["Tau","Taurus"],["Tel","Telescopium"],["TrA","Triangulum Australe"],["Tri","Triangulum"],["Tuc","Tucana"],["UMa","Ursa Major"],["UMi","Ursa Minor"],["Vel","Vela"],["Vir","Virgo"],["Vol","Volans"],["Vul","Vulpecula"]],Fd=[[83,0,8640,2112],[83,2880,5220,2076],[83,7560,8280,2068],[83,6480,7560,2064],[15,0,2880,2040],[10,3300,3840,1968],
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|
[15,0,1800,1920],[10,3840,5220,1920],[83,6300,6480,1920],[33,7260,7560,1920],[15,0,1263,1848],[10,4140,4890,1848],[83,5952,6300,1800],[15,7260,7440,1800],[10,2868,3300,1764],[33,3300,4080,1764],[83,4680,5952,1680],[13,1116,1230,1632],[33,7350,7440,1608],[33,4080,4320,1596],[15,0,120,1584],[83,5040,5640,1584],[15,8490,8640,1584],[33,4320,4860,1536],[33,4860,5190,1512],[15,8340,8490,1512],[10,2196,2520,1488],[33,7200,7350,1476],[15,7393.2,7416,1462],[10,2520,2868,1440],[82,2868,3030,1440],[33,7116,
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|
7200,1428],[15,7200,7393.2,1428],[15,8232,8340,1418],[13,0,876,1404],[33,6990,7116,1392],[13,612,687,1380],[13,876,1116,1368],[10,1116,1140,1368],[15,8034,8232,1350],[10,1800,2196,1344],[82,5052,5190,1332],[33,5190,6990,1332],[10,1140,1200,1320],[15,7968,8034,1320],[15,7416,7908,1316],[13,0,612,1296],[50,2196,2340,1296],[82,4350,4860,1272],[33,5490,5670,1272],[15,7908,7968,1266],[10,1200,1800,1260],[13,8232,8400,1260],[33,5670,6120,1236],[62,735,906,1212],[33,6120,6564,1212],[13,0,492,1200],[62,492,
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|
600,1200],[50,2340,2448,1200],[13,8400,8640,1200],[82,4860,5052,1164],[13,0,402,1152],[13,8490,8640,1152],[39,6543,6564,1140],[33,6564,6870,1140],[30,6870,6900,1140],[62,600,735,1128],[82,3030,3300,1128],[13,60,312,1104],[82,4320,4350,1080],[50,2448,2652,1068],[30,7887,7908,1056],[30,7875,7887,1050],[30,6900,6984,1044],[82,3300,3660,1008],[82,3660,3882,960],[8,5556,5670,960],[39,5670,5880,960],[50,3330,3450,954],[0,0,906,882],[62,906,924,882],[51,6969,6984,876],[62,1620,1689,864],[30,7824,7875,864],
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|
|
[44,7875,7920,864],[7,2352,2652,852],[50,2652,2790,852],[0,0,720,840],[44,7920,8214,840],[44,8214,8232,828],[0,8232,8460,828],[62,924,978,816],[82,3882,3960,816],[29,4320,4440,816],[50,2790,3330,804],[48,3330,3558,804],[0,258,507,792],[8,5466,5556,792],[0,8460,8550,770],[29,4440,4770,768],[0,8550,8640,752],[29,5025,5052,738],[80,870,978,736],[62,978,1620,736],[7,1620,1710,720],[51,6543,6969,720],[82,3960,4320,696],[30,7080,7530,696],[7,1710,2118,684],[48,3558,3780,684],[29,4770,5025,684],[0,0,24,
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|
672],[80,507,600,672],[7,2118,2352,672],[37,2838,2880,672],[30,7530,7824,672],[30,6933,7080,660],[80,690,870,654],[25,5820,5880,648],[8,5430,5466,624],[25,5466,5820,624],[51,6612,6792,624],[48,3870,3960,612],[51,6792,6933,612],[80,600,690,600],[66,258,306,570],[48,3780,3870,564],[87,7650,7710,564],[77,2052,2118,548],[0,24,51,528],[73,5730,5772,528],[37,2118,2238,516],[87,7140,7290,510],[87,6792,6930,506],[0,51,306,504],[87,7290,7404,492],[37,2811,2838,480],[87,7404,7650,468],[87,6930,7140,460],[6,
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|
|
1182,1212,456],[75,6792,6840,444],[59,2052,2076,432],[37,2238,2271,420],[75,6840,7140,388],[77,1788,1920,384],[39,5730,5790,384],[75,7140,7290,378],[77,1662,1788,372],[77,1920,2016,372],[23,4620,4860,360],[39,6210,6570,344],[23,4272,4620,336],[37,2700,2811,324],[39,6030,6210,308],[61,0,51,300],[77,2016,2076,300],[37,2520,2700,300],[61,7602,7680,300],[37,2271,2496,288],[39,6570,6792,288],[31,7515,7578,284],[61,7578,7602,284],[45,4146,4272,264],[59,2247,2271,240],[37,2496,2520,240],[21,2811,2853,240],
|
|
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|
|
[61,8580,8640,240],[6,600,1182,238],[31,7251,7308,204],[8,4860,5430,192],[61,8190,8580,180],[21,2853,3330,168],[45,3330,3870,168],[58,6570,6718.4,150],[3,6718.4,6792,150],[31,7500,7515,144],[20,2520,2526,132],[73,6570,6633,108],[39,5790,6030,96],[58,6570,6633,72],[61,7728,7800,66],[66,0,720,48],[73,6690,6792,48],[31,7308,7500,48],[34,7500,7680,48],[61,7680,7728,48],[61,7920,8190,48],[61,7800,7920,42],[20,2526,2592,36],[77,1290,1662,0],[59,1662,1680,0],[20,2592,2910,0],[85,5280,5430,0],[58,6420,6570,
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|
0],[16,954,1182,-42],[77,1182,1290,-42],[73,5430,5856,-78],[59,1680,1830,-96],[59,2100,2247,-96],[73,6420,6468,-96],[73,6570,6690,-96],[3,6690,6792,-96],[66,8190,8580,-96],[45,3870,4146,-144],[85,4146,4260,-144],[66,0,120,-168],[66,8580,8640,-168],[85,5130,5280,-192],[58,5730,5856,-192],[3,7200,7392,-216],[4,7680,7872,-216],[58,6180,6468,-240],[54,2100,2910,-264],[35,1770,1830,-264],[59,1830,2100,-264],[41,2910,3012,-264],[74,3450,3870,-264],[85,4260,4620,-264],[58,6330,6360,-280],[3,6792,7200,-288.8],
|
|
|
|
|
[35,1740,1770,-348],[4,7392,7680,-360],[73,6180,6570,-384],[72,6570,6792,-384],[41,3012,3090,-408],[58,5856,5895,-438],[41,3090,3270,-456],[26,3870,3900,-456],[71,5856,5895,-462],[47,5640,5730,-480],[28,4530,4620,-528],[85,4620,5130,-528],[41,3270,3510,-576],[16,600,954,-585.2],[35,954,1350,-585.2],[26,3900,4260,-588],[28,4260,4530,-588],[47,5130,5370,-588],[58,5856,6030,-590],[16,0,600,-612],[11,7680,7872,-612],[4,7872,8580,-612],[16,8580,8640,-612],[41,3510,3690,-636],[35,1692,1740,-654],[46,1740,
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|
|
|
|
2202,-654],[11,7200,7680,-672],[41,3690,3810,-700],[41,4530,5370,-708],[47,5370,5640,-708],[71,5640,5760,-708],[35,1650,1692,-720],[58,6030,6336,-720],[76,6336,6420,-720],[41,3810,3900,-748],[19,2202,2652,-792],[41,4410,4530,-792],[41,3900,4410,-840],[36,1260,1350,-864],[68,3012,3372,-882],[35,1536,1650,-888],[76,6420,6900,-888],[65,7680,8280,-888],[70,8280,8400,-888],[36,1080,1260,-950],[1,3372,3960,-954],[70,0,600,-960],[36,600,1080,-960],[35,1392,1536,-960],[70,8400,8640,-960],[14,5100,5370,-1008],
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|
|
[49,5640,5760,-1008],[71,5760,5911.5,-1008],[9,1740,1800,-1032],[22,1800,2370,-1032],[67,2880,3012,-1032],[35,1230,1392,-1056],[71,5911.5,6420,-1092],[24,6420,6900,-1092],[76,6900,7320,-1092],[53,7320,7680,-1092],[35,1080,1230,-1104],[9,1620,1740,-1116],[49,5520,5640,-1152],[63,0,840,-1156],[35,960,1080,-1176],[40,1470,1536,-1176],[9,1536,1620,-1176],[38,7680,7920,-1200],[67,2160,2880,-1218],[84,2880,2940,-1218],[35,870,960,-1224],[40,1380,1470,-1224],[63,0,660,-1236],[12,2160,2220,-1260],[84,2940,
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|
3042,-1272],[40,1260,1380,-1276],[32,1380,1440,-1276],[63,0,570,-1284],[35,780,870,-1296],[64,1620,1800,-1296],[49,5418,5520,-1296],[84,3042,3180,-1308],[12,2220,2340,-1320],[14,4260,4620,-1320],[49,5100,5418,-1320],[56,5418,5520,-1320],[32,1440,1560,-1356],[84,3180,3960,-1356],[14,3960,4050,-1356],[5,6300,6480,-1368],[78,6480,7320,-1368],[38,7920,8400,-1368],[40,1152,1260,-1380],[64,1800,1980,-1380],[12,2340,2460,-1392],[63,0,480,-1404],[35,480,780,-1404],[63,8400,8640,-1404],[32,1560,1650,-1416],
|
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|
|
[56,5520,5911.5,-1440],[43,7320,7680,-1440],[64,1980,2160,-1464],[18,5460,5520,-1464],[5,5911.5,5970,-1464],[18,5370,5460,-1526],[5,5970,6030,-1526],[64,2160,2460,-1536],[12,2460,3252,-1536],[14,4050,4260,-1536],[27,4260,4620,-1536],[14,4620,5232,-1536],[18,4860,4920,-1560],[5,6030,6060,-1560],[40,780,1152,-1620],[69,1152,1650,-1620],[18,5310,5370,-1620],[5,6060,6300,-1620],[60,6300,6480,-1620],[81,7920,8400,-1620],[32,1650,2370,-1680],[18,4920,5310,-1680],[79,5310,6120,-1680],[81,0,480,-1800],[42,
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|
1260,1650,-1800],[86,2370,3252,-1800],[12,3252,4050,-1800],[55,4050,4920,-1800],[60,6480,7680,-1800],[43,7680,8400,-1800],[81,8400,8640,-1800],[81,270,480,-1824],[42,0,1260,-1980],[17,2760,4920,-1980],[2,4920,6480,-1980],[52,1260,2760,-2040],[57,0,8640,-2160]],Tb,hd,id=function(a,b,c,d){this.symbol=a;this.name=b;this.ra1875=c;this.dec1875=d};e.ConstellationInfo=id;e.Constellation=function(a,b){w(a);w(b);if(-90>b||90<b)throw"Invalid declination angle. Must be -90..+90.";a%=24;0>a&&(a+=24);Tb||(Tb=
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|
ob(new O(-45655.74141261017)),hd=new O(0));a=new Ba(b,15*a,1);a=lb(a,hd);a=Ya(Tb,a);a=Mb(a);b=10/240;for(var c=b/15,d=$jscomp.makeIterator(Fd),f=d.next();!f.done;f=d.next()){f=f.value;var g=f[1]*c,h=f[2]*c;if(f[3]*b<=a.dec&&g<=a.ra&&a.ra<h)return b=Ed[f[0]],new id(b[0],b[1],a.ra,a.dec)}throw"Unable to find constellation for given coordinates.";};var S;(function(a){a.Penumbral="penumbral";a.Partial="partial";a.Annular="annular";a.Total="total"})(S=e.EclipseKind||(e.EclipseKind={}));var Nc=function(a,
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|
|
b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.sd_penum=d;this.sd_partial=f;this.sd_total=g};e.LunarEclipseInfo=Nc;var wd=function(a,b,c,d,f,g,h){this.time=a;this.u=b;this.r=c;this.k=d;this.p=f;this.target=g;this.dir=h};e.SearchLunarEclipse=Mc;var Pc=function(a,b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.distance=d;this.latitude=f;this.longitude=g};e.GlobalSolarEclipseInfo=Pc;e.NextLunarEclipse=function(a){a=v(a);a=a.AddDays(10);return Mc(a)};e.SearchGlobalSolarEclipse=
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|
Oc;e.NextGlobalSolarEclipse=function(a){a=v(a);a=a.AddDays(10);return Oc(a)};var Tc=function(a,b){this.time=a;this.altitude=b};e.EclipseEvent=Tc;var Vc=function(a,b,c,d,f,g,h){this.kind=a;this.obscuration=b;this.partial_begin=c;this.total_begin=d;this.peak=f;this.total_end=g;this.partial_end=h};e.LocalSolarEclipseInfo=Vc;e.SearchLocalSolarEclipse=Uc;e.NextLocalSolarEclipse=function(a,b){a=v(a);a=a.AddDays(10);return Uc(a,b)};var Yc=function(a,b,c,d){this.start=a;this.peak=b;this.finish=c;this.separation=
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|
d};e.TransitInfo=Yc;e.SearchTransit=Xc;e.NextTransit=function(a,b){b=v(b);b=b.AddDays(100);return Xc(a,b)};var ra;(function(a){a[a.Invalid=0]="Invalid";a[a.Ascending=1]="Ascending";a[a.Descending=-1]="Descending"})(ra=e.NodeEventKind||(e.NodeEventKind={}));var $c=function(a,b){this.kind=a;this.time=b};e.NodeEventInfo=$c;e.SearchMoonNode=Zc;e.NextMoonNode=function(a){var b=a.time.AddDays(10);b=Zc(b);switch(a.kind){case ra.Ascending:if(b.kind!==ra.Descending)throw"Internal error: previous node was ascending, but this node was: "+
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|
b.kind;break;case ra.Descending:if(b.kind!==ra.Ascending)throw"Internal error: previous node was descending, but this node was: "+b.kind;break;default:throw"Previous node has an invalid node kind: "+a.kind;}return b};var Ub=function(a,b,c,d){this.ra=a;this.dec=b;this.spin=c;this.north=d};e.AxisInfo=Ub;e.RotationAxis=function(a,b){b=v(b);var c=b.tt,d=c/36525;switch(a){case m.Sun:a=286.13;var f=63.87;c=84.176+14.1844*c;break;case m.Mercury:a=281.0103-.0328*d;f=61.4155-.0049*d;c=329.5988+6.1385108*c+
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|
@@ -246,11 +247,11 @@ break;case m.Mars:a=317.269202-.10927547*d+6.8E-5*Math.sin(e.DEG2RAD*(198.991226
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|
d))+5E-6*Math.cos(e.DEG2RAD*(79.476401+76560.6495004*d))+1.591274*Math.cos(e.DEG2RAD*(166.325722+.5042615*d));c=176.049863+350.891982443297*c+1.45E-4*Math.sin(e.DEG2RAD*(129.071773+19140.0328244*d))+1.57E-4*Math.sin(e.DEG2RAD*(36.352167+38281.0473591*d))+4E-5*Math.sin(e.DEG2RAD*(56.668646+57420.929536*d))+1E-6*Math.sin(e.DEG2RAD*(67.364003+76560.2552215*d))+1E-6*Math.sin(e.DEG2RAD*(104.79268+95700.4387578*d))+.584542*Math.sin(e.DEG2RAD*(95.391654+.5042615*d));break;case m.Jupiter:f=e.DEG2RAD*(99.360714+
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4850.4046*d);g=e.DEG2RAD*(175.895369+1191.9605*d);h=e.DEG2RAD*(300.323162+262.5475*d);l=e.DEG2RAD*(114.012305+6070.2476*d);k=e.DEG2RAD*(49.511251+64.3*d);a=268.056595-.006499*d+1.17E-4*Math.sin(f)+9.38E-4*Math.sin(g)+.001432*Math.sin(h)+3E-5*Math.sin(l)+.00215*Math.sin(k);f=64.495303+.002413*d+5E-5*Math.cos(f)+4.04E-4*Math.cos(g)+6.17E-4*Math.cos(h)-1.3E-5*Math.cos(l)+9.26E-4*Math.cos(k);c=284.95+870.536*c;break;case m.Saturn:a=40.589-.036*d;f=83.537-.004*d;c=38.9+810.7939024*c;break;case m.Uranus:a=
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257.311;f=-15.175;c=203.81-501.1600928*c;break;case m.Neptune:d=e.DEG2RAD*(357.85+52.316*d);a=299.36+.7*Math.sin(d);f=43.46-.51*Math.cos(d);c=249.978+541.1397757*c-.48*Math.sin(d);break;case m.Pluto:a=132.993;f=-6.163;c=302.695+56.3625225*c;break;default:throw"Invalid body: "+a;}d=f*e.DEG2RAD;g=a*e.DEG2RAD;h=Math.cos(d);b=new E(h*Math.cos(g),h*Math.sin(g),Math.sin(d),b);return new Ub(a/15,f,c,b)};e.LagrangePoint=function(a,b,c,d){var f=v(b);b=C(c);var g=C(d);c===m.Earth&&d===m.Moon?(c=new I(0,0,0,
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0,0,0,f),d=Ra(f)):(c=mb(c,f),d=mb(d,f));return ad(a,c,b,d,g)};e.LagrangePointFast=ad;var H=function(a,b,c){b=v(b);this.originBody=a;for(var d=$jscomp.makeIterator(c),f=d.next();!f.done;f=d.next())if(f.value.t.tt!==b.tt)throw"Inconsistent times in bodyStates";d=[];f=H.CalcSolarSystem(b);this.curr=new id(b,f,d);a=this.InternalBodyState(a);c=$jscomp.makeIterator(c);for(f=c.next();!f.done;f=c.next()){var g=f.value;f=new B(g.x+a.r.x,g.y+a.r.y,g.z+a.r.z);g=new B(g.vx+a.v.x,g.vy+a.v.y,g.vz+a.v.z);var h=
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0,0,0,f),d=Ra(f)):(c=mb(c,f),d=mb(d,f));return ad(a,c,b,d,g)};e.LagrangePointFast=ad;var H=function(a,b,c){b=v(b);this.originBody=a;for(var d=$jscomp.makeIterator(c),f=d.next();!f.done;f=d.next())if(f.value.t.tt!==b.tt)throw"Inconsistent times in bodyStates";d=[];f=H.CalcSolarSystem(b);this.curr=new jd(b,f,d);a=this.InternalBodyState(a);c=$jscomp.makeIterator(c);for(f=c.next();!f.done;f=c.next()){var g=f.value;f=new B(g.x+a.r.x,g.y+a.r.y,g.z+a.r.z);g=new B(g.vx+a.v.x,g.vy+a.v.y,g.vz+a.v.z);var h=
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B.zero();d.push(new Ua(b.tt,f,g,h))}this.CalcBodyAccelerations();this.prev=this.Duplicate()};H.prototype.Update=function(a){a=v(a);var b=a.tt-this.curr.time.tt;if(0===b)this.prev=this.Duplicate();else{this.Swap();this.curr.time=a;this.curr.gravitators=H.CalcSolarSystem(a);for(var c=0;c<this.curr.bodies.length;++c){var d=this.prev.bodies[c];this.curr.bodies[c].r=Ca(b,d.r,d.v,d.a)}this.CalcBodyAccelerations();for(c=0;c<this.curr.bodies.length;++c){d=this.prev.bodies[c];var f=this.curr.bodies[c],g=d.a.mean(f.a);
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f.tt=a.tt;f.r=Ca(b,d.r,d.v,g);f.v=Eb(b,d.v,g)}this.CalcBodyAccelerations()}b=[];c=this.InternalBodyState(this.originBody);d=$jscomp.makeIterator(this.curr.bodies);for(f=d.next();!f.done;f=d.next())f=f.value,b.push(new I(f.r.x-c.r.x,f.r.y-c.r.y,f.r.z-c.r.z,f.v.x-c.v.x,f.v.y-c.v.y,f.v.z-c.v.z,a));return b};H.prototype.Swap=function(){var a=this.curr;this.curr=this.prev;this.prev=a};H.prototype.SolarSystemBodyState=function(a){a=this.InternalBodyState(a);var b=this.InternalBodyState(this.originBody);
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return pa(a.sub(b),this.curr.time)};H.prototype.InternalBodyState=function(a){if(a===m.SSB)return new X(this.curr.time.tt,B.zero(),B.zero());var b=this.curr.gravitators[a];if(b)return b;throw"Invalid body: "+a;};H.CalcSolarSystem=function(a){var b={},c=new X(a.tt,B.zero(),B.zero());b[m.Mercury]=R(c,a.tt,m.Mercury,4.912547451450812E-11);b[m.Venus]=R(c,a.tt,m.Venus,7.243452486162703E-10);b[m.Earth]=R(c,a.tt,m.Earth,8.997011346712498E-10);b[m.Mars]=R(c,a.tt,m.Mars,9.549535105779258E-11);b[m.Jupiter]=
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R(c,a.tt,m.Jupiter,2.825345909524226E-7);b[m.Saturn]=R(c,a.tt,m.Saturn,8.459715185680659E-8);b[m.Uranus]=R(c,a.tt,m.Uranus,1.292024916781969E-8);b[m.Neptune]=R(c,a.tt,m.Neptune,1.524358900784276E-8);for(var d in b)b[d].r.decr(c.r),b[d].v.decr(c.v);b[m.Sun]=new X(a.tt,c.r.neg(),c.v.neg());return b};H.prototype.CalcBodyAccelerations=function(){for(var a=$jscomp.makeIterator(this.curr.bodies),b=a.next();!b.done;b=a.next())b=b.value,b.a=B.zero(),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Sun].r,
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2.959122082855911E-4),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Mercury].r,4.912547451450812E-11),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Venus].r,7.243452486162703E-10),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Earth].r,8.997011346712498E-10),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Mars].r,9.549535105779258E-11),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Jupiter].r,2.825345909524226E-7),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Saturn].r,8.459715185680659E-8),
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H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Uranus].r,1.292024916781969E-8),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Neptune].r,1.524358900784276E-8)};H.AddAcceleration=function(a,b,c,d){var f=c.x-b.x,g=c.y-b.y;b=c.z-b.z;c=f*f+g*g+b*b;d/=c*Math.sqrt(c);a.x+=f*d;a.y+=g*d;a.z+=b*d};H.prototype.Duplicate=function(){var a={};for(b in this.curr.gravitators)a[b]=this.curr.gravitators[b].clone();var b=[];for(var c=$jscomp.makeIterator(this.curr.bodies),d=c.next();!d.done;d=c.next())b.push(d.value.clone());
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return new id(this.curr.time,a,b)};$jscomp.global.Object.defineProperties(H.prototype,{OriginBody:{configurable:!0,enumerable:!0,get:function(){return this.originBody}},Time:{configurable:!0,enumerable:!0,get:function(){return this.curr.time}}});e.GravitySimulator=H;var id=function(a,b,c){this.time=a;this.gravitators=b;this.bodies=c}},{}]},{},[1])(1)});
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return new jd(this.curr.time,a,b)};$jscomp.global.Object.defineProperties(H.prototype,{OriginBody:{configurable:!0,enumerable:!0,get:function(){return this.originBody}},Time:{configurable:!0,enumerable:!0,get:function(){return this.curr.time}}});e.GravitySimulator=H;var jd=function(a,b,c){this.time=a;this.gravitators=b;this.bodies=c}},{}]},{},[1])(1)});
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Don Cross