mirror of
https://github.com/cosinekitty/astronomy.git
synced 2025-12-29 02:29:12 -05:00
7c475fcada
I tried more distant objects like Jupiter ... Neptune. This revealed that at increasing distances, the convergence threshold in inverse_terra needed to increased also. So now I use 1 AU as a baseline, and scale up linearly for more distant objects.
339 lines
132 KiB
JavaScript
339 lines
132 KiB
JavaScript
/*
|
|
MIT
|
|
|
|
|
|
Astronomy library for JavaScript (browser and Node.js).
|
|
https://github.com/cosinekitty/astronomy
|
|
|
|
MIT License
|
|
|
|
Copyright (c) 2019-2024 Don Cross <cosinekitty@gmail.com>
|
|
|
|
Permission is hereby granted, free of charge, to any person obtaining a copy
|
|
of this software and associated documentation files (the "Software"), to deal
|
|
in the Software without restriction, including without limitation the rights
|
|
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
|
copies of the Software, and to permit persons to whom the Software is
|
|
furnished to do so, subject to the following conditions:
|
|
|
|
The above copyright notice and this permission notice shall be included in all
|
|
copies or substantial portions of the Software.
|
|
|
|
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
|
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
|
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
|
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
|
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
|
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
|
|
SOFTWARE.
|
|
*/
|
|
var $jscomp=$jscomp||{};$jscomp.scope={};$jscomp.createTemplateTagFirstArg=function(a){return a.raw=a};$jscomp.createTemplateTagFirstArgWithRaw=function(a,b){a.raw=b;return a};$jscomp.arrayIteratorImpl=function(a){var b=0;return function(){return b<a.length?{done:!1,value:a[b++]}:{done:!0}}};$jscomp.arrayIterator=function(a){return{next:$jscomp.arrayIteratorImpl(a)}};$jscomp.makeIterator=function(a){var b="undefined"!=typeof Symbol&&Symbol.iterator&&a[Symbol.iterator];return b?b.call(a):$jscomp.arrayIterator(a)};
|
|
$jscomp.getGlobal=function(a){a=["object"==typeof globalThis&&globalThis,a,"object"==typeof window&&window,"object"==typeof self&&self,"object"==typeof global&&global];for(var b=0;b<a.length;++b){var c=a[b];if(c&&c.Math==Math)return c}throw Error("Cannot find global object");};$jscomp.global=$jscomp.getGlobal(this);$jscomp.ASSUME_ES5=!1;$jscomp.ASSUME_NO_NATIVE_MAP=!1;$jscomp.ASSUME_NO_NATIVE_SET=!1;$jscomp.SIMPLE_FROUND_POLYFILL=!1;$jscomp.ISOLATE_POLYFILLS=!1;$jscomp.FORCE_POLYFILL_PROMISE=!1;
|
|
$jscomp.FORCE_POLYFILL_PROMISE_WHEN_NO_UNHANDLED_REJECTION=!1;$jscomp.defineProperty=$jscomp.ASSUME_ES5||"function"==typeof Object.defineProperties?Object.defineProperty:function(a,b,c){if(a==Array.prototype||a==Object.prototype)return a;a[b]=c.value;return a};$jscomp.IS_SYMBOL_NATIVE="function"===typeof Symbol&&"symbol"===typeof Symbol("x");$jscomp.TRUST_ES6_POLYFILLS=!$jscomp.ISOLATE_POLYFILLS||$jscomp.IS_SYMBOL_NATIVE;$jscomp.polyfills={};$jscomp.propertyToPolyfillSymbol={};
|
|
$jscomp.POLYFILL_PREFIX="$jscp$";var $jscomp$lookupPolyfilledValue=function(a,b){var c=$jscomp.propertyToPolyfillSymbol[b];if(null==c)return a[b];c=a[c];return void 0!==c?c:a[b]};$jscomp.polyfill=function(a,b,c,d){b&&($jscomp.ISOLATE_POLYFILLS?$jscomp.polyfillIsolated(a,b,c,d):$jscomp.polyfillUnisolated(a,b,c,d))};
|
|
$jscomp.polyfillUnisolated=function(a,b,c,d){c=$jscomp.global;a=a.split(".");for(d=0;d<a.length-1;d++){var e=a[d];if(!(e in c))return;c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&null!=b&&$jscomp.defineProperty(c,a,{configurable:!0,writable:!0,value:b})};
|
|
$jscomp.polyfillIsolated=function(a,b,c,d){var e=a.split(".");a=1===e.length;d=e[0];d=!a&&d in $jscomp.polyfills?$jscomp.polyfills:$jscomp.global;for(var f=0;f<e.length-1;f++){var g=e[f];if(!(g in d))return;d=d[g]}e=e[e.length-1];c=$jscomp.IS_SYMBOL_NATIVE&&"es6"===c?d[e]:null;b=b(c);null!=b&&(a?$jscomp.defineProperty($jscomp.polyfills,e,{configurable:!0,writable:!0,value:b}):b!==c&&(void 0===$jscomp.propertyToPolyfillSymbol[e]&&($jscomp.propertyToPolyfillSymbol[e]=$jscomp.IS_SYMBOL_NATIVE?$jscomp.global.Symbol(e):
|
|
$jscomp.POLYFILL_PREFIX+e),$jscomp.defineProperty(d,$jscomp.propertyToPolyfillSymbol[e],{configurable:!0,writable:!0,value:b})))};$jscomp.polyfill("Math.log10",function(a){return a?a:function(b){return Math.log(b)/Math.LN10}},"es6","es3");$jscomp.polyfill("Number.isFinite",function(a){return a?a:function(b){return"number"!==typeof b?!1:!isNaN(b)&&Infinity!==b&&-Infinity!==b}},"es6","es3");
|
|
$jscomp.polyfill("Math.hypot",function(a){return a?a:function(b){if(2>arguments.length)return arguments.length?Math.abs(arguments[0]):0;var c,d,e;for(c=e=0;c<arguments.length;c++)e=Math.max(e,Math.abs(arguments[c]));if(1E100<e||1E-100>e){if(!e)return e;for(c=d=0;c<arguments.length;c++){var f=Number(arguments[c])/e;d+=f*f}return Math.sqrt(d)*e}for(c=d=0;c<arguments.length;c++)f=Number(arguments[c]),d+=f*f;return Math.sqrt(d)}},"es6","es3");
|
|
$jscomp.polyfill("Number.MAX_SAFE_INTEGER",function(){return 9007199254740991},"es6","es3");$jscomp.polyfill("Number.isInteger",function(a){return a?a:function(b){return Number.isFinite(b)?b===Math.floor(b):!1}},"es6","es3");$jscomp.polyfill("Number.isSafeInteger",function(a){return a?a:function(b){return Number.isInteger(b)&&Math.abs(b)<=Number.MAX_SAFE_INTEGER}},"es6","es3");
|
|
$jscomp.polyfill("Math.cbrt",function(a){return a?a:function(b){if(0===b)return b;b=Number(b);var c=Math.pow(Math.abs(b),1/3);return 0>b?-c:c}},"es6","es3");Object.defineProperty(exports,"__esModule",{value:!0});
|
|
exports.GeoEmbState=exports.GeoMoonState=exports.EclipticGeoMoon=exports.GeoMoon=exports.Ecliptic=exports.ObserverGravity=exports.VectorObserver=exports.ObserverState=exports.ObserverVector=exports.Equator=exports.SunPosition=exports.Observer=exports.Horizon=exports.EclipticCoordinates=exports.HorizontalCoordinates=exports.MakeRotation=exports.RotationMatrix=exports.EquatorialCoordinates=exports.Spherical=exports.StateVector=exports.Vector=exports.SiderealTime=exports.Libration=exports.LibrationInfo=
|
|
exports.CalcMoonCount=exports.e_tilt=exports.MakeTime=exports.AstroTime=exports.SetDeltaTFunction=exports.DeltaT_JplHorizons=exports.DeltaT_EspenakMeeus=exports.PlanetOrbitalPeriod=exports.DefineStar=exports.Body=exports.AngleBetween=exports.MassProduct=exports.CALLISTO_RADIUS_KM=exports.GANYMEDE_RADIUS_KM=exports.EUROPA_RADIUS_KM=exports.IO_RADIUS_KM=exports.JUPITER_MEAN_RADIUS_KM=exports.JUPITER_POLAR_RADIUS_KM=exports.JUPITER_EQUATORIAL_RADIUS_KM=exports.RAD2HOUR=exports.RAD2DEG=exports.HOUR2RAD=
|
|
exports.DEG2RAD=exports.AU_PER_LY=exports.KM_PER_AU=exports.C_AUDAY=void 0;
|
|
exports.VectorFromHorizon=exports.HorizonFromVector=exports.SphereFromVector=exports.EquatorFromVector=exports.VectorFromSphere=exports.Pivot=exports.IdentityMatrix=exports.CombineRotation=exports.InverseRotation=exports.NextPlanetApsis=exports.SearchPlanetApsis=exports.NextLunarApsis=exports.SearchLunarApsis=exports.Apsis=exports.ApsisKind=exports.SearchPeakMagnitude=exports.SearchMaxElongation=exports.Elongation=exports.ElongationEvent=exports.Seasons=exports.SeasonInfo=exports.HourAngle=exports.SearchHourAngle=
|
|
exports.HourAngleEvent=exports.SearchAltitude=exports.SearchRiseSet=exports.Atmosphere=exports.AtmosphereInfo=exports.NextMoonQuarter=exports.SearchMoonQuarter=exports.MoonQuarter=exports.SearchMoonPhase=exports.MoonPhase=exports.SearchRelativeLongitude=exports.Illumination=exports.IlluminationInfo=exports.EclipticLongitude=exports.AngleFromSun=exports.PairLongitude=exports.SearchSunLongitude=exports.Search=exports.HelioState=exports.BaryState=exports.GeoVector=exports.BackdatePosition=exports.CorrectLightTravel=
|
|
exports.HelioDistance=exports.HelioVector=exports.JupiterMoons=exports.JupiterMoonsInfo=void 0;
|
|
exports.GravitySimulator=exports.LagrangePointFast=exports.LagrangePoint=exports.RotationAxis=exports.AxisInfo=exports.NextMoonNode=exports.SearchMoonNode=exports.NodeEventInfo=exports.NodeEventKind=exports.NextTransit=exports.SearchTransit=exports.TransitInfo=exports.NextLocalSolarEclipse=exports.SearchLocalSolarEclipse=exports.LocalSolarEclipseInfo=exports.EclipseEvent=exports.NextGlobalSolarEclipse=exports.SearchGlobalSolarEclipse=exports.NextLunarEclipse=exports.GlobalSolarEclipseInfo=exports.SearchLunarEclipse=
|
|
exports.LunarEclipseInfo=exports.EclipseKind=exports.Constellation=exports.ConstellationInfo=exports.Rotation_EQD_ECT=exports.Rotation_ECT_EQD=exports.Rotation_GAL_EQJ=exports.Rotation_EQJ_GAL=exports.Rotation_HOR_ECL=exports.Rotation_ECL_HOR=exports.Rotation_ECL_EQD=exports.Rotation_EQD_ECL=exports.Rotation_EQJ_HOR=exports.Rotation_HOR_EQJ=exports.Rotation_HOR_EQD=exports.Rotation_EQD_HOR=exports.Rotation_EQD_EQJ=exports.Rotation_ECT_EQJ=exports.Rotation_EQJ_ECT=exports.Rotation_EQJ_EQD=exports.Rotation_ECL_EQJ=
|
|
exports.Rotation_EQJ_ECL=exports.RotateState=exports.RotateVector=exports.InverseRefraction=exports.Refraction=void 0;exports.C_AUDAY=173.1446326846693;exports.KM_PER_AU=1.4959787069098932E8;exports.AU_PER_LY=63241.07708807546;exports.DEG2RAD=.017453292519943295;exports.HOUR2RAD=.26179938779914946;exports.RAD2DEG=57.29577951308232;exports.RAD2HOUR=3.819718634205488;exports.JUPITER_EQUATORIAL_RADIUS_KM=71492;exports.JUPITER_POLAR_RADIUS_KM=66854;exports.JUPITER_MEAN_RADIUS_KM=69911;
|
|
exports.IO_RADIUS_KM=1821.6;exports.EUROPA_RADIUS_KM=1560.8;exports.GANYMEDE_RADIUS_KM=2631.2;exports.CALLISTO_RADIUS_KM=2410.3;
|
|
var DAYS_PER_TROPICAL_YEAR=365.24217,J2000=new Date("2000-01-01T12:00:00Z"),PI2=2*Math.PI,ARC=180/Math.PI*3600,ASEC2RAD=4.84813681109536E-6,ASEC180=648E3,ASEC360=2*ASEC180,ANGVEL=7.292115E-5,AU_PER_PARSEC=ASEC180/Math.PI,SUN_MAG_1AU=-.17-5*Math.log10(AU_PER_PARSEC),MEAN_SYNODIC_MONTH=29.530588,SECONDS_PER_DAY=86400,MILLIS_PER_DAY=1E3*SECONDS_PER_DAY,SOLAR_DAYS_PER_SIDEREAL_DAY=.9972695717592592,SUN_RADIUS_KM=695700,SUN_RADIUS_AU=SUN_RADIUS_KM/exports.KM_PER_AU,EARTH_FLATTENING=.996647180302104,EARTH_FLATTENING_SQUARED=
|
|
EARTH_FLATTENING*EARTH_FLATTENING,EARTH_EQUATORIAL_RADIUS_KM=6378.1366,EARTH_EQUATORIAL_RADIUS_AU=EARTH_EQUATORIAL_RADIUS_KM/exports.KM_PER_AU,EARTH_POLAR_RADIUS_KM=EARTH_EQUATORIAL_RADIUS_KM*EARTH_FLATTENING,EARTH_MEAN_RADIUS_KM=6371,EARTH_ATMOSPHERE_KM=88,EARTH_ECLIPSE_RADIUS_KM=EARTH_MEAN_RADIUS_KM+EARTH_ATMOSPHERE_KM,MOON_EQUATORIAL_RADIUS_KM=1738.1,MOON_EQUATORIAL_RADIUS_AU=MOON_EQUATORIAL_RADIUS_KM/exports.KM_PER_AU,MOON_MEAN_RADIUS_KM=1737.4,MOON_POLAR_RADIUS_KM=1736,MOON_POLAR_RADIUS_AU=MOON_POLAR_RADIUS_KM/
|
|
exports.KM_PER_AU,REFRACTION_NEAR_HORIZON=34/60,EARTH_MOON_MASS_RATIO=81.30056,SUN_GM=2.959122082855911E-4,MERCURY_GM=4.912547451450812E-11,VENUS_GM=7.243452486162703E-10,EARTH_GM=8.887692390113509E-10,MARS_GM=9.549535105779258E-11,JUPITER_GM=2.825345909524226E-7,SATURN_GM=8.459715185680659E-8,URANUS_GM=1.292024916781969E-8,NEPTUNE_GM=1.524358900784276E-8,PLUTO_GM=2.18869976542597E-12,MOON_GM=EARTH_GM/EARTH_MOON_MASS_RATIO;
|
|
function MassProduct(a){switch(a){case Body.Sun:return SUN_GM;case Body.Mercury:return MERCURY_GM;case Body.Venus:return VENUS_GM;case Body.Earth:return EARTH_GM;case Body.Moon:return MOON_GM;case Body.EMB:return EARTH_GM+MOON_GM;case Body.Mars:return MARS_GM;case Body.Jupiter:return JUPITER_GM;case Body.Saturn:return SATURN_GM;case Body.Uranus:return URANUS_GM;case Body.Neptune:return NEPTUNE_GM;case Body.Pluto:return PLUTO_GM;default:throw"Do not know mass product for body: "+a;}}
|
|
exports.MassProduct=MassProduct;function VerifyBoolean(a){if(!0!==a&&!1!==a)throw console.trace(),"Value is not boolean: "+a;return a}function VerifyNumber(a){if(!Number.isFinite(a))throw console.trace(),"Value is not a finite number: "+a;return a}function Frac(a){return a-Math.floor(a)}
|
|
function AngleBetween(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:exports.RAD2DEG*Math.acos(a)}exports.AngleBetween=AngleBetween;var Body;
|
|
(function(a){a.Sun="Sun";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"})(Body=exports.Body||(exports.Body={}));
|
|
var StarList=[Body.Star1,Body.Star2,Body.Star3,Body.Star4,Body.Star5,Body.Star6,Body.Star7,Body.Star8],StarTable=[{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,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0}];function GetStar(a){a=StarList.indexOf(a);return 0<=a?StarTable[a]:null}function UserDefinedStar(a){return(a=GetStar(a))&&0<a.dist?a:null}
|
|
function DefineStar(a,b,c,d){var e=GetStar(a);if(!e)throw"Invalid star body: "+a;VerifyNumber(b);VerifyNumber(c);VerifyNumber(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;e.ra=b;e.dec=c;e.dist=d*exports.AU_PER_LY}exports.DefineStar=DefineStar;var PrecessDirection;(function(a){a[a.From2000=0]="From2000";a[a.Into2000=1]="Into2000"})(PrecessDirection||(PrecessDirection={}));
|
|
var Planet={Mercury:{OrbitalPeriod:87.969},Venus:{OrbitalPeriod:224.701},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}};function PlanetOrbitalPeriod(a){if(a in Planet)return Planet[a].OrbitalPeriod;throw"Unknown orbital period for: "+a;}exports.PlanetOrbitalPeriod=PlanetOrbitalPeriod;
|
|
var vsop={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],[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],[.0012977877,4.83232503958,104351.61256629678],[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-4,1.42385544001,52175.8062831484]]]],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]],[[10213.28554621638,0,0],[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],[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-5,2.03709657878,529.6909650946],[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,.34481445893,5486.777843175],[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]]],[[],[[.00227777722,3.4137662053,6283.0758499914],[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-7,2.01374292245,83996.84731811189],[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-4,2.93958560338,2281.2304965106],[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,.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],[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-6,4.48618007156,3532.0606928114],[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-5,4.7321039319,3.523118349],[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-4,1.60810667915,6681.2248533996]]],[[[1.53033488271,0,0],[.1418495316,3.47971283528,3340.6124266998],[.00660776362,3.81783443019,6681.2248533996],[4.6179117E-4,4.15595316782,10021.8372800994],[8.109733E-5,5.55958416318,2810.9214616052],[7.485318E-5,1.77239078402,5621.8429232104],[5.523191E-5,1.3643630377,2281.2304965106],
|
|
[3.82516E-5,4.49407183687,13362.4497067992],[2.306537E-5,.09081579001,2544.3144198834],[1.999396E-5,5.36059617709,3337.0893083508],[2.484394E-5,4.9254563992,2942.4634232916],[1.960195E-5,4.74249437639,3344.1355450488],[1.167119E-5,2.11260868341,5092.1519581158],[1.102816E-5,5.00908403998,398.1490034082],[8.99066E-6,4.40791133207,529.6909650946],[9.92252E-6,5.83861961952,6151.533888305],[8.07354E-6,2.10217065501,1059.3819301892],[7.97915E-6,3.44839203899,796.2980068164],[7.40975E-6,1.49906336885,2146.1654164752]],
|
|
[[.01107433345,2.03250524857,3340.6124266998],[.00103175887,2.37071847807,6681.2248533996],[1.28772E-4,0,0],[1.081588E-4,2.70888095665,10021.8372800994]],[[4.4242249E-4,.47930604954,3340.6124266998],[8.138042E-5,.86998389204,6681.2248533996]]]],Jupiter:[[[[.59954691494,0,0],[.09695898719,5.06191793158,529.6909650946],[.00573610142,1.44406205629,7.1135470008],[.00306389205,5.41734730184,1059.3819301892],[9.7178296E-4,4.14264726552,632.7837393132],[7.2903078E-4,3.64042916389,522.5774180938],[6.4263975E-4,
|
|
3.41145165351,103.0927742186],[3.9806064E-4,2.29376740788,419.4846438752],[3.8857767E-4,1.27231755835,316.3918696566],[2.7964629E-4,1.7845459182,536.8045120954],[1.358973E-4,5.7748104079,1589.0728952838],[8.246349E-5,3.5822792584,206.1855484372],[8.768704E-5,3.63000308199,949.1756089698],[7.368042E-5,5.0810119427,735.8765135318],[6.26315E-5,.02497628807,213.299095438],[6.114062E-5,4.51319998626,1162.4747044078],[4.905396E-5,1.32084470588,110.2063212194],[5.305285E-5,1.30671216791,14.2270940016],[5.305441E-5,
|
|
4.18625634012,1052.2683831884],[4.647248E-5,4.69958103684,3.9321532631],[3.045023E-5,4.31676431084,426.598190876],[2.609999E-5,1.56667394063,846.0828347512],[2.028191E-5,1.06376530715,3.1813937377],[1.764763E-5,2.14148655117,1066.49547719],[1.722972E-5,3.88036268267,1265.5674786264],[1.920945E-5,.97168196472,639.897286314],[1.633223E-5,3.58201833555,515.463871093],[1.431999E-5,4.29685556046,625.6701923124],[9.73272E-6,4.09764549134,95.9792272178]],[[529.69096508814,0,0],[.00489503243,4.2208293947,
|
|
529.6909650946],[.00228917222,6.02646855621,7.1135470008],[3.0099479E-4,4.54540782858,1059.3819301892],[2.072092E-4,5.45943156902,522.5774180938],[1.2103653E-4,.16994816098,536.8045120954],[6.067987E-5,4.42422292017,103.0927742186],[5.433968E-5,3.98480737746,419.4846438752],[4.237744E-5,5.89008707199,14.2270940016]],[[4.7233601E-4,4.32148536482,7.1135470008],[3.0649436E-4,2.929777887,529.6909650946],[1.4837605E-4,3.14159265359,0]]],[[[.02268615702,3.55852606721,529.6909650946],[.00109971634,3.90809347197,
|
|
1059.3819301892],[.00110090358,0,0],[8.101428E-5,3.60509572885,522.5774180938],[6.043996E-5,4.25883108339,1589.0728952838],[6.437782E-5,.30627119215,536.8045120954]],[[7.8203446E-4,1.52377859742,529.6909650946]]],[[[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-4,4.19362594399,1589.0728952838],[2.3947298E-4,.2745803748,7.1135470008],[1.3032614E-4,2.96042965363,1162.4747044078],[9.70336E-5,1.90669633585,206.1855484372],[1.2749023E-4,2.71550286592,1052.2683831884],[7.057931E-5,2.18184839926,1265.5674786264],[6.137703E-5,6.26418240033,846.0828347512],[2.616976E-5,2.00994012876,1581.959348283]],
|
|
[[.0127180152,2.64937512894,529.6909650946],[6.1661816E-4,3.00076460387,1059.3819301892],[5.3443713E-4,3.89717383175,522.5774180938],[3.1185171E-4,4.88276958012,536.8045120954],[4.1390269E-4,0,0]]]],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],[1.3160301E-4,4.44891291899,14.2270940016],[1.5053543E-4,2.71669915667,639.897286314],[1.3005299E-4,5.98119023644,11.0457002639],[1.0725067E-4,3.12939523827,202.2533951741],[5.863206E-5,.23656938524,529.6909650946],[5.227757E-5,4.20783365759,3.1813937377],[6.126317E-5,1.76328667907,277.0349937414],[5.019687E-5,3.17787728405,
|
|
433.7117378768],[4.59255E-5,.61977744975,199.0720014364],[4.005867E-5,2.24479718502,63.7358983034],[2.953796E-5,.98280366998,95.9792272178],[3.87367E-5,3.22283226966,138.5174968707],[2.461186E-5,2.03163875071,735.8765135318],[3.269484E-5,.77492638211,949.1756089698],[1.758145E-5,3.2658010994,522.5774180938],[1.640172E-5,5.5050445305,846.0828347512],[1.391327E-5,4.02333150505,323.5054166574],[1.580648E-5,4.37265307169,309.2783226558],[1.123498E-5,2.83726798446,415.5524906121],[1.017275E-5,3.71700135395,
|
|
227.5261894396],[8.48642E-6,3.1915017083,209.3669421749]],[[213.2990952169,0,0],[.01297370862,1.82834923978,213.299095438],[.00564345393,2.88499717272,7.1135470008],[9.3734369E-4,1.06311793502,426.598190876],[.00107674962,2.27769131009,206.1855484372],[4.0244455E-4,2.04108104671,220.4126424388],[1.9941774E-4,1.2795439047,103.0927742186],[1.0511678E-4,2.7488034213,14.2270940016],[6.416106E-5,.38238295041,639.897286314],[4.848994E-5,2.43037610229,419.4846438752],[4.056892E-5,2.92133209468,110.2063212194],
|
|
[3.768635E-5,3.6496533078,3.9321532631]],[[.0011644133,1.17988132879,7.1135470008],[9.1841837E-4,.0732519584,213.299095438],[3.6661728E-4,0,0],[1.5274496E-4,4.06493179167,206.1855484372]]],[[[.04330678039,3.60284428399,213.299095438],[.00240348302,2.85238489373,426.598190876],[8.4745939E-4,0,0],[3.0863357E-4,3.48441504555,220.4126424388],[3.4116062E-4,.57297307557,206.1855484372],[1.473407E-4,2.11846596715,639.897286314],[9.916667E-5,5.79003188904,419.4846438752],[6.993564E-5,4.7360468972,7.1135470008],
|
|
[4.807588E-5,5.43305312061,316.3918696566]],[[.00198927992,4.93901017903,213.299095438],[3.6947916E-4,3.14159265359,0],[1.7966989E-4,.5197943111,426.598190876]]],[[[9.55758135486,0,0],[.52921382865,2.39226219573,213.299095438],[.01873679867,5.2354960466,206.1855484372],[.01464663929,1.64763042902,426.598190876],[.00821891141,5.93520042303,316.3918696566],[.00547506923,5.0153261898,103.0927742186],[.0037168465,2.27114821115,220.4126424388],[.00361778765,3.13904301847,7.1135470008],[.00140617506,5.70406606781,
|
|
632.7837393132],[.00108974848,3.29313390175,110.2063212194],[6.9006962E-4,5.94099540992,419.4846438752],[6.1053367E-4,.94037691801,639.897286314],[4.8913294E-4,1.55733638681,202.2533951741],[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,.71114625261,206.1855484372],[.00341394029,5.79635741658,426.598190876],[.00188491195,.47215589652,220.4126424388],[.00186261486,3.14159265359,0],[.00143891146,1.40744822888,7.1135470008]],[[.00436902572,4.78671677509,213.299095438]]]],Uranus:[[[[5.48129294297,0,0],[.09260408234,.89106421507,74.7815985673],[.01504247898,3.6271926092,
|
|
1.4844727083],[.00365981674,1.89962179044,73.297125859],[.00272328168,3.35823706307,149.5631971346],[7.0328461E-4,5.39254450063,63.7358983034],[6.8892678E-4,6.09292483287,76.2660712756],[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-5,3.23328220918,70.8494453042],[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],[1.284107E-5,3.11347961505,202.2533951741],[1.150429E-5,.93343589092,3.1813937377],[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]]],[[[.01346277648,2.61877810547,74.7815985673],[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],[.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-4,3.88649278513,146.594251718],[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-4,6.09221808686,35.1640902212],[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]]],[[[30.07013205828,0,0],[.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]]]]};
|
|
function DeltaT_EspenakMeeus(a){var b=2E3+(a-14)/DAYS_PER_TROPICAL_YEAR;if(-500>b)return a=(b-1820)/100,-20+32*a*a;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*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*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}exports.DeltaT_EspenakMeeus=DeltaT_EspenakMeeus;function DeltaT_JplHorizons(a){return DeltaT_EspenakMeeus(Math.min(a,17*DAYS_PER_TROPICAL_YEAR))}exports.DeltaT_JplHorizons=DeltaT_JplHorizons;var DeltaT=DeltaT_EspenakMeeus;
|
|
function SetDeltaTFunction(a){DeltaT=a}exports.SetDeltaTFunction=SetDeltaTFunction;function TerrestrialTime(a){return a+DeltaT(a)/86400}
|
|
var AstroTime=function(a){if(a instanceof AstroTime)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()-J2000.getTime())/864E5,this.tt=TerrestrialTime(this.ut);else if(Number.isFinite(a))this.date=new Date(J2000.getTime()+864E5*a),this.ut=a,this.tt=TerrestrialTime(this.ut);else throw"Argument must be a Date object, an AstroTime object, or a numeric UTC Julian date.";};
|
|
AstroTime.FromTerrestrialTime=function(a){for(var b=new AstroTime(a);;){var c=a-b.tt;if(1E-12>Math.abs(c))return b;b=b.AddDays(c)}};AstroTime.prototype.toString=function(){return this.date.toISOString()};AstroTime.prototype.AddDays=function(a){return new AstroTime(this.ut+a)};exports.AstroTime=AstroTime;function InterpolateTime(a,b,c){return new AstroTime(a.ut+c*(b.ut-a.ut))}function MakeTime(a){return a instanceof AstroTime?a:new AstroTime(a)}exports.MakeTime=MakeTime;
|
|
function iau2000b(a){a=a.tt/36525;var b=(1287104.79305+1.295965810481E8*a)%ASEC360*ASEC2RAD,c=(335779.526232+1.7395272628478E9*a)%ASEC360*ASEC2RAD,d=(450160.398036-6962890.5431*a)%ASEC360*ASEC2RAD,e=Math.sin(d),f=Math.cos(d),g=(-172064161-174666*a)*e+33386*f,k=(92052331+9086*a)*f+15377*e;f=2*(c-(1072260.70369+1.602961601209E9*a)%ASEC360*ASEC2RAD+d);e=Math.sin(f);f=Math.cos(f);g+=(-13170906-1675*a)*e-13696*f;k+=(5730336-3015*a)*f-4587*e;f=2*(c+d);e=Math.sin(f);f=Math.cos(f);g+=(-2276413-234*a)*e+2796*
|
|
f;k+=(978459-485*a)*f+1374*e;f=2*d;e=Math.sin(f);f=Math.cos(f);g+=(2074554+207*a)*e-698*f;k+=(-897492+470*a)*f-291*e;e=Math.sin(b);f=Math.cos(b);return{dpsi:-1.35E-4+1E-7*(g+((1475877-3633*a)*e+11817*f)),deps:3.88E-4+1E-7*(k+((73871-184*a)*f-1924*e))}}function mean_obliq(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}var cache_e_tilt;
|
|
function e_tilt(a){if(!cache_e_tilt||1E-6<Math.abs(cache_e_tilt.tt-a.tt)){var b=iau2000b(a),c=mean_obliq(a);cache_e_tilt={tt:a.tt,dpsi:b.dpsi,deps:b.deps,ee:b.dpsi*Math.cos(c*exports.DEG2RAD)/15,mobl:c,tobl:c+b.deps/3600}}return cache_e_tilt}exports.e_tilt=e_tilt;function obl_ecl2equ_vec(a,b){var c=a*exports.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 ecl2equ_vec(a,b){return obl_ecl2equ_vec(mean_obliq(a),b)}exports.CalcMoonCount=0;
|
|
function CalcMoon(a){function b(u,v,x,A){for(var w=[],D=0;D<=v-u;++D){var E=w,L=E.push,M,O=x,Q=A,P=[];for(M=0;M<=Q-O;++M)P.push(0);L.call(E,{min:O,array:P})}return{min:u,array:w}}function c(u,v,x){u=u.array[v-u.min];return u.array[x-u.min]}function d(u,v,x){u=q.array[u-q.min];u.array[v-u.min]=x}function e(u,v,x){u=r.array[u-r.min];u.array[v-u.min]=x}function f(u,v,x,A,w){w(u*x-v*A,v*x+u*A)}function g(u){return Math.sin(PI2*u)}function k(u,v,x,A){var w={x:1,y:0};u=[0,u,v,x,A];for(v=1;4>=v;++v)0!==
|
|
u[v]&&f(w.x,w.y,c(q,u[v],v),c(r,u[v],v),function(D,E){return w.x=D,w.y=E});return w}function h(u,v,x,A,w,D,E,L){w=k(w,D,E,L);n+=u*w.y;p+=v*w.y;H+=x*w.x;F+=A*w.x}++exports.CalcMoonCount;a=a.tt/36525;var l,m,n,p,q=b(-6,6,1,4),r=b(-6,6,1,4);var t=a*a;var H=p=n=0;var F=3422.7;var C=g(.19833+.05611*a);var B=g(.27869+.04508*a);var y=g(.16827-.36903*a);var z=g(.34734-5.37261*a);var G=g(.10498-5.37899*a);var I=g(.42681-.41855*a),R=g(.14943-5.37511*a);var J=.84*C+.31*B+14.27*y+7.26*z+.28*G+.24*I;var N=2.94*
|
|
C+.31*B+14.27*y+9.34*z+1.12*G+.83*I;var K=-6.4*C-1.89*I;B=.21*C+.31*B+14.27*y-88.7*z-15.3*G+.24*I-1.86*R;y=J-K;C=-3.332E-6*g(.59734-5.37261*a)-5.39E-7*g(.35498-5.37899*a)-6.4E-8*g(.39943-5.37511*a);J=PI2*Frac(.60643382+1336.85522467*a-3.13E-6*t)+J/ARC;N=PI2*Frac(.37489701+1325.55240982*a+2.565E-5*t)+N/ARC;K=PI2*Frac(.99312619+99.99735956*a-4.4E-7*t)+K/ARC;B=PI2*Frac(.25909118+1342.2278298*a-8.92E-6*t)+B/ARC;G=PI2*Frac(.82736186+1236.85308708*a-3.97E-6*t)+y/ARC;for(l=1;4>=l;++l){switch(l){case 1:y=
|
|
N;t=4;z=1.000002208;break;case 2:y=K;t=3;z=.997504612-.002495388*a;break;case 3:y=B;t=4;z=1.000002708+139.978*C;break;case 4:y=G;t=6;z=1;break;default:throw"Internal error: I = "+l;}d(0,l,1);d(1,l,Math.cos(y)*z);e(0,l,0);e(1,l,Math.sin(y)*z);for(m=2;m<=t;++m)f(c(q,m-1,l),c(r,m-1,l),c(q,1,l),c(r,1,l),function(u,v){return d(m,l,u),e(m,l,v)});for(m=1;m<=t;++m)d(-m,l,c(q,m,l)),e(-m,l,-c(r,m,l))}h(13.902,14.06,-.001,.2607,0,0,0,4);h(.403,-4.01,.394,.0023,0,0,0,3);h(2369.912,2373.36,.601,28.2333,0,0,0,
|
|
2);h(-125.154,-112.79,-.725,-.9781,0,0,0,1);h(1.979,6.98,-.445,.0433,1,0,0,4);h(191.953,192.72,.029,3.0861,1,0,0,2);h(-8.466,-13.51,.455,-.1093,1,0,0,1);h(22639.5,22609.07,.079,186.5398,1,0,0,0);h(18.609,3.59,-.094,.0118,1,0,0,-1);h(-4586.465,-4578.13,-.077,34.3117,1,0,0,-2);h(3.215,5.44,.192,-.0386,1,0,0,-3);h(-38.428,-38.64,.001,.6008,1,0,0,-4);h(-.393,-1.43,-.092,.0086,1,0,0,-6);h(-.289,-1.59,.123,-.0053,0,1,0,4);h(-24.42,-25.1,.04,-.3,0,1,0,2);h(18.023,17.93,.007,.1494,0,1,0,1);h(-668.146,-126.98,
|
|
-1.302,-.3997,0,1,0,0);h(.56,.32,-.001,-.0037,0,1,0,-1);h(-165.145,-165.06,.054,1.9178,0,1,0,-2);h(-1.877,-6.46,-.416,.0339,0,1,0,-4);h(.213,1.02,-.074,.0054,2,0,0,4);h(14.387,14.78,-.017,.2833,2,0,0,2);h(-.586,-1.2,.054,-.01,2,0,0,1);h(769.016,767.96,.107,10.1657,2,0,0,0);h(1.75,2.01,-.018,.0155,2,0,0,-1);h(-211.656,-152.53,5.679,-.3039,2,0,0,-2);h(1.225,.91,-.03,-.0088,2,0,0,-3);h(-30.773,-34.07,-.308,.3722,2,0,0,-4);h(-.57,-1.4,-.074,.0109,2,0,0,-6);h(-2.921,-11.75,.787,-.0484,1,1,0,2);h(1.267,
|
|
1.52,-.022,.0164,1,1,0,1);h(-109.673,-115.18,.461,-.949,1,1,0,0);h(-205.962,-182.36,2.056,1.4437,1,1,0,-2);h(.233,.36,.012,-.0025,1,1,0,-3);h(-4.391,-9.66,-.471,.0673,1,1,0,-4);h(.283,1.53,-.111,.006,1,-1,0,4);h(14.577,31.7,-1.54,.2302,1,-1,0,2);h(147.687,138.76,.679,1.1528,1,-1,0,0);h(-1.089,.55,.021,0,1,-1,0,-1);h(28.475,23.59,-.443,-.2257,1,-1,0,-2);h(-.276,-.38,-.006,-.0036,1,-1,0,-3);h(.636,2.27,.146,-.0102,1,-1,0,-4);h(-.189,-1.68,.131,-.0028,0,2,0,2);h(-7.486,-.66,-.037,-.0086,0,2,0,0);h(-8.096,
|
|
-16.35,-.74,.0918,0,2,0,-2);h(-5.741,-.04,0,-9E-4,0,0,2,2);h(.255,0,0,0,0,0,2,1);h(-411.608,-.2,0,-.0124,0,0,2,0);h(.584,.84,0,.0071,0,0,2,-1);h(-55.173,-52.14,0,-.1052,0,0,2,-2);h(.254,.25,0,-.0017,0,0,2,-3);h(.025,-1.67,0,.0031,0,0,2,-4);h(1.06,2.96,-.166,.0243,3,0,0,2);h(36.124,50.64,-1.3,.6215,3,0,0,0);h(-13.193,-16.4,.258,-.1187,3,0,0,-2);h(-1.187,-.74,.042,.0074,3,0,0,-4);h(-.293,-.31,-.002,.0046,3,0,0,-6);h(-.29,-1.45,.116,-.0051,2,1,0,2);h(-7.649,-10.56,.259,-.1038,2,1,0,0);h(-8.627,-7.59,
|
|
.078,-.0192,2,1,0,-2);h(-2.74,-2.54,.022,.0324,2,1,0,-4);h(1.181,3.32,-.212,.0213,2,-1,0,2);h(9.703,11.67,-.151,.1268,2,-1,0,0);h(-.352,-.37,.001,-.0028,2,-1,0,-1);h(-2.494,-1.17,-.003,-.0017,2,-1,0,-2);h(.36,.2,-.012,-.0043,2,-1,0,-4);h(-1.167,-1.25,.008,-.0106,1,2,0,0);h(-7.412,-6.12,.117,.0484,1,2,0,-2);h(-.311,-.65,-.032,.0044,1,2,0,-4);h(.757,1.82,-.105,.0112,1,-2,0,2);h(2.58,2.32,.027,.0196,1,-2,0,0);h(2.533,2.4,-.014,-.0212,1,-2,0,-2);h(-.344,-.57,-.025,.0036,0,3,0,-2);h(-.992,-.02,0,0,1,0,
|
|
2,2);h(-45.099,-.02,0,-.001,1,0,2,0);h(-.179,-9.52,0,-.0833,1,0,2,-2);h(-.301,-.33,0,.0014,1,0,2,-4);h(-6.382,-3.37,0,-.0481,1,0,-2,2);h(39.528,85.13,0,-.7136,1,0,-2,0);h(9.366,.71,0,-.0112,1,0,-2,-2);h(.202,.02,0,0,1,0,-2,-4);h(.415,.1,0,.0013,0,1,2,0);h(-2.152,-2.26,0,-.0066,0,1,2,-2);h(-1.44,-1.3,0,.0014,0,1,-2,2);h(.384,-.04,0,0,0,1,-2,-2);h(1.938,3.6,-.145,.0401,4,0,0,0);h(-.952,-1.58,.052,-.013,4,0,0,-2);h(-.551,-.94,.032,-.0097,3,1,0,0);h(-.482,-.57,.005,-.0045,3,1,0,-2);h(.681,.96,-.026,.0115,
|
|
3,-1,0,0);h(-.297,-.27,.002,-9E-4,2,2,0,-2);h(.254,.21,-.003,0,2,-2,0,-2);h(-.25,-.22,.004,.0014,1,3,0,-2);h(-3.996,0,0,4E-4,2,0,2,0);h(.557,-.75,0,-.009,2,0,2,-2);h(-.459,-.38,0,-.0053,2,0,-2,2);h(-1.298,.74,0,4E-4,2,0,-2,0);h(.538,1.14,0,-.0141,2,0,-2,-2);h(.263,.02,0,0,1,1,2,0);h(.426,.07,0,-6E-4,1,1,-2,-2);h(-.304,.03,0,3E-4,1,-1,2,0);h(-.372,-.19,0,-.0027,1,-1,-2,2);h(.418,0,0,0,0,0,4,0);h(-.33,-.04,0,0,3,0,2,0);t=-526.069*k(0,0,1,-2).y;t+=-3.352*k(0,0,1,-4).y;t+=44.297*k(1,0,1,-2).y;t+=-6*k(1,
|
|
0,1,-4).y;t+=20.599*k(-1,0,1,0).y;t+=-30.598*k(-1,0,1,-2).y;t+=-24.649*k(-2,0,1,0).y;t+=-2*k(-2,0,1,-2).y;t+=-22.571*k(0,1,1,-2).y;t+=10.985*k(0,-1,1,-2).y;n+=.82*g(.7736-62.5512*a)+.31*g(.0466-125.1025*a)+.35*g(.5785-25.1042*a)+.66*g(.4591+1335.8075*a)+.64*g(.313-91.568*a)+1.14*g(.148+1331.2898*a)+.21*g(.5918+1056.5859*a)+.44*g(.5784+1322.8595*a)+.24*g(.2275-5.7374*a)+.28*g(.2965+2.6929*a)+.33*g(.3132+6.3368*a);a=B+p/ARC;a=(1.000002708+139.978*C)*(18518.511+1.189+H)*Math.sin(a)-6.24*Math.sin(3*a)+
|
|
t;return{geo_eclip_lon:PI2*Frac((J+n/ARC)/PI2),geo_eclip_lat:Math.PI/648E3*a,distance_au:ARC*EARTH_EQUATORIAL_RADIUS_AU/(.999953253*F)}}var LibrationInfo=function(a,b,c,d,e,f){this.elat=a;this.elon=b;this.mlat=c;this.mlon=d;this.dist_km=e;this.diam_deg=f};exports.LibrationInfo=LibrationInfo;
|
|
function Libration(a){var b=MakeTime(a);a=b.tt/36525;var c=a*a,d=c*a,e=c*c,f=CalcMoon(b);b=f.geo_eclip_lon;var g=f.geo_eclip_lat;f=f.distance_au*exports.KM_PER_AU;var k=1.543*exports.DEG2RAD,h=exports.DEG2RAD*NormalizeLongitude(93.272095+483202.0175233*a-.0036539*c-d/3526E3+e/86331E4),l=exports.DEG2RAD*NormalizeLongitude(125.0445479-1934.1362891*a+.0020754*c+d/467441-e/60616E3),m=exports.DEG2RAD*NormalizeLongitude(357.5291092+35999.0502909*a-1.536E-4*c+d/2449E4),n=exports.DEG2RAD*NormalizeLongitude(134.9633964+
|
|
477198.8675055*a+.0087414*c+d/69699-e/14712E3);d=exports.DEG2RAD*NormalizeLongitude(297.8501921+445267.1114034*a-.0018819*c+d/545868-e/113065E3);c=1-.002516*a-7.4E-6*c;var p=b-l;e=Math.atan2(Math.sin(p)*Math.cos(g)*Math.cos(k)-Math.sin(g)*Math.sin(k),Math.cos(p)*Math.cos(g));var q=LongitudeOffset(exports.RAD2DEG*(e-h));k=Math.asin(-Math.sin(p)*Math.cos(g)*Math.sin(k)-Math.sin(g)*Math.cos(k));p=-.02752*Math.cos(n)+-.02245*Math.sin(h)+.00684*Math.cos(n-2*h)+-.00293*Math.cos(2*h)+-8.5E-4*Math.cos(2*
|
|
h-2*d)+-5.4E-4*Math.cos(n-2*d)+-2E-4*Math.sin(n+h)+-2E-4*Math.cos(n+2*h)+-2E-4*Math.cos(n-h)+1.4E-4*Math.cos(n+2*h-2*d);var r=-.02816*Math.sin(n)+.02244*Math.cos(h)+-.00682*Math.sin(n-2*h)+-.00279*Math.sin(2*h)+-8.3E-4*Math.sin(2*h-2*d)+6.9E-4*Math.sin(n-2*d)+4E-4*Math.cos(n+h)+-2.5E-4*Math.sin(2*n)+-2.3E-4*Math.sin(n+2*h)+2E-4*Math.cos(n-h)+1.9E-4*Math.sin(n-h)+1.3E-4*Math.sin(n+2*h-2*d)+-1E-4*Math.cos(n-3*h);return new LibrationInfo(exports.RAD2DEG*k+(r*Math.cos(e)-p*Math.sin(e)),q+(-(.0252*c*Math.sin(m)+
|
|
.00473*Math.sin(2*n-2*h)+-.00467*Math.sin(n)+.00396*Math.sin(exports.DEG2RAD*(119.75+131.849*a))+.00276*Math.sin(2*n-2*d)+.00196*Math.sin(l)+-.00183*Math.cos(n-h)+.00115*Math.sin(n-2*d)+-9.6E-4*Math.sin(n-d)+4.6E-4*Math.sin(2*h-2*d)+-3.9E-4*Math.sin(n-h)+-3.2E-4*Math.sin(n-m-d)+2.7E-4*Math.sin(2*n-m-2*d)+2.3E-4*Math.sin(exports.DEG2RAD*(72.56+20.186*a))+-1.4E-4*Math.sin(2*d)+1.4E-4*Math.cos(2*n-2*h)+-1.2E-4*Math.sin(n-2*h)+-1.2E-4*Math.sin(2*n)+1.1E-4*Math.sin(2*n-2*m-2*d))+(p*Math.cos(e)+r*Math.sin(e))*
|
|
Math.tan(k)),exports.RAD2DEG*g,exports.RAD2DEG*b,f,2*exports.RAD2DEG*Math.atan(MOON_MEAN_RADIUS_KM/Math.sqrt(f*f-MOON_MEAN_RADIUS_KM*MOON_MEAN_RADIUS_KM)))}exports.Libration=Libration;function rotate(a,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 precession(a,b,c){b=precession_rot(b,c);return rotate(b,a)}
|
|
function precession_posvel(a,b,c){b=precession_rot(b,c);return RotateState(b,a)}
|
|
function precession_rot(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*=ASEC2RAD;var e=((((-9.51E-8*a+1.32851E-4)*a-.00114045)*a-1.0790069)*a+5038.481507)*a*ASEC2RAD;d*=ASEC2RAD;var f=((((-5.6E-8*a+1.70663E-4)*a-.00121197)*a-2.3814292)*a+10.556403)*a*ASEC2RAD;a=Math.sin(c);c=Math.cos(c);var g=Math.sin(-e);e=Math.cos(-e);var k=Math.sin(-d);d=Math.cos(-d);var h=Math.sin(f),l=Math.cos(f);f=l*e-g*h*d;var m=l*g*c+h*d*e*c-a*h*k,n=l*g*a+h*d*e*a+c*h*
|
|
k,p=-h*e-g*l*d,q=-h*g*c+l*d*e*c-a*l*k;h=-h*g*a+l*d*e*a+c*l*k;g*=k;l=-k*e*c-a*d;a=-k*e*a+d*c;if(b===PrecessDirection.Into2000)return new RotationMatrix([[f,m,n],[p,q,h],[g,l,a]]);if(b===PrecessDirection.From2000)return new RotationMatrix([[f,p,g],[m,q,l],[n,h,a]]);throw"Invalid precess direction";}function era(a){a=(.779057273264+.00273781191135448*a.ut+a.ut%1)%1*360;0>a&&(a+=360);return a}var sidereal_time_cache;
|
|
function sidereal_time(a){if(!sidereal_time_cache||sidereal_time_cache.tt!==a.tt){var b=a.tt/36525,c=15*e_tilt(a).ee,d=era(a);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);sidereal_time_cache={tt:a.tt,st:b}}return sidereal_time_cache.st}function SiderealTime(a){a=MakeTime(a);return sidereal_time(a)}exports.SiderealTime=SiderealTime;
|
|
function inverse_terra(a,b){var c=a[0]*exports.KM_PER_AU,d=a[1]*exports.KM_PER_AU,e=a[2]*exports.KM_PER_AU,f=Math.hypot(c,d);if(1E-6>f)b=0,d=0<e?90:-90,e=Math.abs(e)-EARTH_POLAR_RADIUS_KM;else{for(b=exports.RAD2DEG*Math.atan2(d,c)-15*b;-180>=b;)b+=360;for(;180<b;)b-=360;d=Math.atan2(e,f);for(var g,k=0,h=0,l=Math.max(1,Math.hypot(a[0],a[1],a[2]));;){if(10<++k)throw"inverse_terra failed to converge: W="+h+", distanceAu="+l;a=Math.cos(d);c=Math.sin(d);var m=(EARTH_FLATTENING_SQUARED-1)*EARTH_EQUATORIAL_RADIUS_KM,
|
|
n=a*a,p=c*c,q=n+EARTH_FLATTENING_SQUARED*p;g=Math.sqrt(q);h=m*c*a/g-e*a+f*c;if(Math.abs(h)<2E-8*l)break;d-=h/(m*((n-p)/g-p*n*(EARTH_FLATTENING_SQUARED-1)/(m*q))+e*c+f*a)}d*=exports.RAD2DEG;g=EARTH_EQUATORIAL_RADIUS_KM/g;e=Math.abs(c)>Math.abs(a)?e/c-EARTH_FLATTENING_SQUARED*g:f/a-g}return new Observer(d,b,1E3*e)}
|
|
function terra(a,b){var c=a.latitude*exports.DEG2RAD,d=Math.sin(c);c=Math.cos(c);var e=1/Math.hypot(c,EARTH_FLATTENING*d),f=a.height/1E3,g=EARTH_EQUATORIAL_RADIUS_KM*e+f;b=(15*b+a.longitude)*exports.DEG2RAD;a=Math.sin(b);b=Math.cos(b);return{pos:[g*c*b/exports.KM_PER_AU,g*c*a/exports.KM_PER_AU,(EARTH_EQUATORIAL_RADIUS_KM*EARTH_FLATTENING_SQUARED*e+f)*d/exports.KM_PER_AU],vel:[-ANGVEL*g*c*a*86400/exports.KM_PER_AU,ANGVEL*g*c*b*86400/exports.KM_PER_AU,0]}}
|
|
function nutation(a,b,c){b=nutation_rot(b,c);return rotate(b,a)}function nutation_posvel(a,b,c){b=nutation_rot(b,c);return RotateState(b,a)}
|
|
function nutation_rot(a,b){a=e_tilt(a);var c=a.mobl*exports.DEG2RAD,d=a.tobl*exports.DEG2RAD,e=a.dpsi*ASEC2RAD;a=Math.cos(c);c=Math.sin(c);var f=Math.cos(d),g=Math.sin(d);d=Math.cos(e);var k=Math.sin(e);e=-k*a;var h=-k*c,l=k*f,m=d*a*f+c*g,n=d*c*f-a*g;k*=g;var p=d*a*g-c*f;a=d*c*g+a*f;if(b===PrecessDirection.From2000)return new RotationMatrix([[d,l,k],[e,m,p],[h,n,a]]);if(b===PrecessDirection.Into2000)return new RotationMatrix([[d,e,h],[l,m,n],[k,p,a]]);throw"Invalid precess direction";}
|
|
function gyration(a,b,c){return c===PrecessDirection.Into2000?precession(nutation(a,b,c),b,c):nutation(precession(a,b,c),b,c)}function gyration_posvel(a,b,c){return c===PrecessDirection.Into2000?precession_posvel(nutation_posvel(a,b,c),b,c):nutation_posvel(precession_posvel(a,b,c),b,c)}function geo_pos(a,b){var c=sidereal_time(a);b=terra(b,c).pos;return gyration(b,a,PrecessDirection.Into2000)}var Vector=function(a,b,c,d){this.x=a;this.y=b;this.z=c;this.t=d};
|
|
Vector.prototype.Length=function(){return Math.hypot(this.x,this.y,this.z)};exports.Vector=Vector;var StateVector=function(a,b,c,d,e,f,g){this.x=a;this.y=b;this.z=c;this.vx=d;this.vy=e;this.vz=f;this.t=g};exports.StateVector=StateVector;var Spherical=function(a,b,c){this.lat=VerifyNumber(a);this.lon=VerifyNumber(b);this.dist=VerifyNumber(c)};exports.Spherical=Spherical;var EquatorialCoordinates=function(a,b,c,d){this.ra=VerifyNumber(a);this.dec=VerifyNumber(b);this.dist=VerifyNumber(c);this.vec=d};
|
|
exports.EquatorialCoordinates=EquatorialCoordinates;function IsValidRotationArray(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}var RotationMatrix=function(a){this.rot=a};exports.RotationMatrix=RotationMatrix;function MakeRotation(a){if(!IsValidRotationArray(a))throw"Argument must be a [3][3] array of numbers";return new RotationMatrix(a)}
|
|
exports.MakeRotation=MakeRotation;var HorizontalCoordinates=function(a,b,c,d){this.azimuth=VerifyNumber(a);this.altitude=VerifyNumber(b);this.ra=VerifyNumber(c);this.dec=VerifyNumber(d)};exports.HorizontalCoordinates=HorizontalCoordinates;var EclipticCoordinates=function(a,b,c){this.vec=a;this.elat=VerifyNumber(b);this.elon=VerifyNumber(c)};exports.EclipticCoordinates=EclipticCoordinates;function VectorFromArray(a,b){return new Vector(a[0],a[1],a[2],b)}
|
|
function vector2radec(a,b){b=VectorFromArray(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 EquatorialCoordinates(0,0>b.z?-90:90,d,b)}var e=exports.RAD2HOUR*Math.atan2(b.y,b.x);0>e&&(e+=24);return new EquatorialCoordinates(e,exports.RAD2DEG*Math.atan2(a[2],Math.sqrt(c)),d,b)}function spin(a,b){var c=a*exports.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 Horizon(a,b,c,d,e){a=MakeTime(a);VerifyObserver(b);VerifyNumber(c);VerifyNumber(d);var f=Math.sin(b.latitude*exports.DEG2RAD),g=Math.cos(b.latitude*exports.DEG2RAD),k=Math.sin(b.longitude*exports.DEG2RAD),h=Math.cos(b.longitude*exports.DEG2RAD);b=Math.sin(d*exports.DEG2RAD);var l=Math.cos(d*exports.DEG2RAD),m=Math.sin(c*exports.HOUR2RAD),n=Math.cos(c*exports.HOUR2RAD),p=[g*h,g*k,f];f=[-f*h,-f*k,g];k=[k,-h,0];g=-15*sidereal_time(a);a=spin(g,p);p=spin(g,f);k=spin(g,k);b=[l*n,l*m,b];m=b[0]*
|
|
a[0]+b[1]*a[1]+b[2]*a[2];l=b[0]*p[0]+b[1]*p[1]+b[2]*p[2];p=b[0]*k[0]+b[1]*k[1]+b[2]*k[2];n=Math.hypot(l,p);0<n?(l=-exports.RAD2DEG*Math.atan2(p,l),0>l&&(l+=360)):l=0;m=exports.RAD2DEG*Math.atan2(n,m);n=d;if(e&&(d=m,e=Refraction(e,90-m),m-=e,0<e&&3E-4<m)){c=Math.sin(m*exports.DEG2RAD);n=Math.cos(m*exports.DEG2RAD);p=Math.sin(d*exports.DEG2RAD);d=Math.cos(d*exports.DEG2RAD);e=[];for(k=0;3>k;++k)e.push((b[k]-d*a[k])/p*c+a[k]*n);n=Math.hypot(e[0],e[1]);0<n?(c=exports.RAD2HOUR*Math.atan2(e[1],e[0]),0>
|
|
c&&(c+=24)):c=0;n=exports.RAD2DEG*Math.atan2(e[2],n)}return new HorizontalCoordinates(l,90-m,c,n)}exports.Horizon=Horizon;function VerifyObserver(a){if(!(a instanceof Observer))throw"Not an instance of the Observer class: "+a;VerifyNumber(a.latitude);VerifyNumber(a.longitude);VerifyNumber(a.height);if(-90>a.latitude||90<a.latitude)throw"Latitude "+a.latitude+" is out of range. Must be -90..+90.";return a}var Observer=function(a,b,c){this.latitude=a;this.longitude=b;this.height=c;VerifyObserver(this)};
|
|
exports.Observer=Observer;function SunPosition(a){a=MakeTime(a).AddDays(-1/exports.C_AUDAY);var b=CalcVsop(vsop.Earth,a),c=$jscomp.makeIterator(gyration([-b.x,-b.y,-b.z],a,PrecessDirection.From2000));b=c.next().value;var d=c.next().value,e=c.next().value,f=exports.DEG2RAD*e_tilt(a).tobl;c=Math.cos(f);f=Math.sin(f);a=new Vector(b,d,e,a);return RotateEquatorialToEcliptic(a,c,f)}exports.SunPosition=SunPosition;
|
|
function Equator(a,b,c,d,e){VerifyObserver(c);VerifyBoolean(d);VerifyBoolean(e);b=MakeTime(b);c=geo_pos(b,c);a=GeoVector(a,b,e);a=[a.x-c[0],a.y-c[1],a.z-c[2]];if(!d)return vector2radec(a,b);d=gyration(a,b,PrecessDirection.From2000);return vector2radec(d,b)}exports.Equator=Equator;function ObserverVector(a,b,c){a=MakeTime(a);var d=sidereal_time(a);b=terra(b,d).pos;c||(b=gyration(b,a,PrecessDirection.Into2000));return VectorFromArray(b,a)}exports.ObserverVector=ObserverVector;
|
|
function ObserverState(a,b,c){a=MakeTime(a);var d=sidereal_time(a);b=terra(b,d);b=new StateVector(b.pos[0],b.pos[1],b.pos[2],b.vel[0],b.vel[1],b.vel[2],a);return c?b:gyration_posvel(b,a,PrecessDirection.Into2000)}exports.ObserverState=ObserverState;function VectorObserver(a,b){var c=sidereal_time(a.t),d=[a.x,a.y,a.z];b||(d=precession(d,a.t,PrecessDirection.From2000),d=nutation(d,a.t,PrecessDirection.From2000));return inverse_terra(d,c)}exports.VectorObserver=VectorObserver;
|
|
function ObserverGravity(a,b){a=Math.sin(a*exports.DEG2RAD);a*=a;return 9.7803253359*(1+.00193185265241*a)/Math.sqrt(1-.00669437999013*a)*(1-(3.15704E-7-2.10269E-9*a)*b+7.37452E-14*b*b)}exports.ObserverGravity=ObserverGravity;function RotateEquatorialToEcliptic(a,b,c){var d=a.x,e=a.y*b+a.z*c;c=-a.y*c+a.z*b;var f=Math.hypot(d,e);b=0;0<f&&(b=exports.RAD2DEG*Math.atan2(e,d),0>b&&(b+=360));f=exports.RAD2DEG*Math.atan2(c,f);a=new Vector(d,e,c,a.t);return new EclipticCoordinates(a,f,b)}
|
|
function Ecliptic(a){var b=e_tilt(a.t),c=precession([a.x,a.y,a.z],a.t,PrecessDirection.From2000),d=$jscomp.makeIterator(nutation(c,a.t,PrecessDirection.From2000));c=d.next().value;var e=d.next().value;d=d.next().value;a=new Vector(c,e,d,a.t);b=b.tobl*exports.DEG2RAD;return RotateEquatorialToEcliptic(a,Math.cos(b),Math.sin(b))}exports.Ecliptic=Ecliptic;
|
|
function GeoMoon(a){a=MakeTime(a);var b=CalcMoon(a),c=b.distance_au*Math.cos(b.geo_eclip_lat);b=ecl2equ_vec(a,[c*Math.cos(b.geo_eclip_lon),c*Math.sin(b.geo_eclip_lon),b.distance_au*Math.sin(b.geo_eclip_lat)]);b=precession(b,a,PrecessDirection.Into2000);return new Vector(b[0],b[1],b[2],a)}exports.GeoMoon=GeoMoon;
|
|
function EclipticGeoMoon(a){var b=MakeTime(a);a=CalcMoon(b);var c=a.distance_au*Math.cos(a.geo_eclip_lat),d=[c*Math.cos(a.geo_eclip_lon),c*Math.sin(a.geo_eclip_lon),a.distance_au*Math.sin(a.geo_eclip_lat)];c=e_tilt(b);d=obl_ecl2equ_vec(c.mobl,d);d=nutation(d,b,PrecessDirection.From2000);b=VectorFromArray(d,b);c=c.tobl*exports.DEG2RAD;b=RotateEquatorialToEcliptic(b,Math.cos(c),Math.sin(c));return new Spherical(b.elat,b.elon,a.distance_au)}exports.EclipticGeoMoon=EclipticGeoMoon;
|
|
function GeoMoonState(a){a=MakeTime(a);var b=a.AddDays(-1E-5),c=a.AddDays(1E-5);b=GeoMoon(b);c=GeoMoon(c);return new StateVector((b.x+c.x)/2,(b.y+c.y)/2,(b.z+c.z)/2,(c.x-b.x)/2E-5,(c.y-b.y)/2E-5,(c.z-b.z)/2E-5,a)}exports.GeoMoonState=GeoMoonState;function GeoEmbState(a){a=MakeTime(a);var b=GeoMoonState(a),c=1+EARTH_MOON_MASS_RATIO;return new StateVector(b.x/c,b.y/c,b.z/c,b.vx/c,b.vy/c,b.vz/c,a)}exports.GeoEmbState=GeoEmbState;
|
|
function VsopFormula(a,b,c){var d=1,e=0;a=$jscomp.makeIterator(a);for(var f=a.next();!f.done;f=a.next()){var g=0;f=$jscomp.makeIterator(f.value);for(var k=f.next();!k.done;k=f.next()){var h=$jscomp.makeIterator(k.value);k=h.next().value;var l=h.next().value;h=h.next().value;g+=k*Math.cos(l+b*h)}g*=d;c&&(g%=PI2);e+=g;d*=b}return e}
|
|
function VsopDeriv(a,b){var c=1,d=0,e=0,f=0;a=$jscomp.makeIterator(a);for(var g=a.next();!g.done;g=a.next()){var k=0,h=0;g=$jscomp.makeIterator(g.value);for(var l=g.next();!l.done;l=g.next()){var m=$jscomp.makeIterator(l.value);l=m.next().value;var n=m.next().value;m=m.next().value;n+=b*m;k+=l*m*Math.sin(n);0<f&&(h+=l*Math.cos(n))}e+=f*d*h-c*k;d=c;c*=b;++f}return e}var DAYS_PER_MILLENNIUM=365250,LON_INDEX=0,LAT_INDEX=1,RAD_INDEX=2;
|
|
function VsopRotate(a){return new TerseVector(a[0]+4.4036E-7*a[1]-1.90919E-7*a[2],-4.79966E-7*a[0]+.917482137087*a[1]-.397776982902*a[2],.397776982902*a[1]+.917482137087*a[2])}function VsopSphereToRect(a,b,c){var d=c*Math.cos(b);return[d*Math.cos(a),d*Math.sin(a),c*Math.sin(b)]}function CalcVsop(a,b){var c=b.tt/DAYS_PER_MILLENNIUM,d=VsopFormula(a[LON_INDEX],c,!0),e=VsopFormula(a[LAT_INDEX],c,!1);a=VsopFormula(a[RAD_INDEX],c,!1);d=VsopSphereToRect(d,e,a);return VsopRotate(d).ToAstroVector(b)}
|
|
function CalcVsopPosVel(a,b){var c=b/DAYS_PER_MILLENNIUM,d=VsopFormula(a[LON_INDEX],c,!0),e=VsopFormula(a[LAT_INDEX],c,!1),f=VsopFormula(a[RAD_INDEX],c,!1),g=VsopDeriv(a[LON_INDEX],c),k=VsopDeriv(a[LAT_INDEX],c);c=VsopDeriv(a[RAD_INDEX],c);var h=Math.cos(d),l=Math.sin(d),m=Math.cos(e),n=Math.sin(e);a=+(c*m*h)-f*n*h*k-f*m*l*g;g=+(c*m*l)-f*n*l*k+f*m*h*g;k=+(c*n)+f*m*k;d=VsopSphereToRect(d,e,f);e=[a/DAYS_PER_MILLENNIUM,g/DAYS_PER_MILLENNIUM,k/DAYS_PER_MILLENNIUM];d=VsopRotate(d);e=VsopRotate(e);return new body_state_t(b,
|
|
d,e)}function AdjustBarycenter(a,b,c,d){d/=d+SUN_GM;b=CalcVsop(vsop[c],b);a.x+=d*b.x;a.y+=d*b.y;a.z+=d*b.z}function CalcSolarSystemBarycenter(a){var b=new Vector(0,0,0,a);AdjustBarycenter(b,a,Body.Jupiter,JUPITER_GM);AdjustBarycenter(b,a,Body.Saturn,SATURN_GM);AdjustBarycenter(b,a,Body.Uranus,URANUS_GM);AdjustBarycenter(b,a,Body.Neptune,NEPTUNE_GM);return b}
|
|
var PLUTO_NUM_STATES=51,PLUTO_TIME_STEP=29200,PLUTO_DT=146,PLUTO_NSTEPS=201,PlutoStateTable=[[-73E4,[-26.118207232108,-14.376168177825,3.384402515299],[.0016339372163656,-.0027861699588508,-.0013585880229445]],[-700800,[41.974905202127,-.448502952929,-12.770351505989],[7.3458569351457E-4,.0022785014891658,4.8619778602049E-4]],[-671600,[14.706930780744,44.269110540027,9.353698474772],[-.00210001479998,2.2295915939915E-4,7.0143443551414E-4]],[-642400,[-29.441003929957,-6.43016153057,6.858481011305],
|
|
[8.4495803960544E-4,-.0030783914758711,-.0012106305981192]],[-613200,[39.444396946234,-6.557989760571,-13.913760296463],[.0011480029005873,.0022400006880665,3.5168075922288E-4]],[-584E3,[20.2303809507,43.266966657189,7.382966091923],[-.0019754081700585,5.3457141292226E-4,7.5929169129793E-4]],[-554800,[-30.65832536462,2.093818874552,9.880531138071],[6.1010603013347E-5,-.0031326500935382,-9.9346125151067E-4]],[-525600,[35.737703251673,-12.587706024764,-14.677847247563],[.0015802939375649,.0021347678412429,
|
|
1.9074436384343E-4]],[-496400,[25.466295188546,41.367478338417,5.216476873382],[-.0018054401046468,8.328308359951E-4,8.0260156912107E-4]],[-467200,[-29.847174904071,10.636426313081,12.297904180106],[-6.3257063052907E-4,-.0029969577578221,-7.4476074151596E-4]],[-438E3,[30.774692107687,-18.236637015304,-14.945535879896],[.0020113162005465,.0019353827024189,-2.0937793168297E-6]],[-408800,[30.243153324028,38.656267888503,2.938501750218],[-.0016052508674468,.0011183495337525,8.3333973416824E-4]],[-379600,
|
|
[-27.288984772533,18.643162147874,14.023633623329],[-.0011856388898191,-.0027170609282181,-4.9015526126399E-4]],[-350400,[24.519605196774,-23.245756064727,-14.626862367368],[.0024322321483154,.0016062008146048,-2.3369181613312E-4]],[-321200,[34.505274805875,35.125338586954,.557361475637],[-.0013824391637782,.0013833397561817,8.4823598806262E-4]],[-292E3,[-23.275363915119,25.818514298769,15.055381588598],[-.0016062295460975,-.0023395961498533,-2.4377362639479E-4]],[-262800,[17.050384798092,-27.180376290126,
|
|
-13.608963321694],[.0028175521080578,.0011358749093955,-4.9548725258825E-4]],[-233600,[38.093671910285,30.880588383337,-1.843688067413],[-.0011317697153459,.0016128814698472,8.4177586176055E-4]],[-204400,[-18.197852930878,31.932869934309,15.438294826279],[-.0019117272501813,-.0019146495909842,-1.9657304369835E-5]],[-175200,[8.528924039997,-29.618422200048,-11.805400994258],[.0031034370787005,5.139363329243E-4,-7.7293066202546E-4]],[-146E3,[40.94685725864,25.904973592021,-4.256336240499],[-8.3652705194051E-4,
|
|
.0018129497136404,8.156422827306E-4]],[-116800,[-12.326958895325,36.881883446292,15.217158258711],[-.0021166103705038,-.001481442003599,1.7401209844705E-4]],[-87600,[-.633258375909,-30.018759794709,-9.17193287495],[.0032016994581737,-2.5279858672148E-4,-.0010411088271861]],[-58400,[42.936048423883,20.344685584452,-6.588027007912],[-5.0525450073192E-4,.0019910074335507,7.7440196540269E-4]],[-29200,[-5.975910552974,40.61180995846,14.470131723673],[-.0022184202156107,-.0010562361130164,3.3652250216211E-4]],
|
|
[0,[-9.875369580774,-27.978926224737,-5.753711824704],[.0030287533248818,-.0011276087003636,-.0012651326732361]],[29200,[43.958831986165,14.214147973292,-8.808306227163],[-1.4717608981871E-4,.0021404187242141,7.1486567806614E-4]],[58400,[.67813676352,43.094461639362,13.243238780721],[-.0022358226110718,-6.3233636090933E-4,4.7664798895648E-4]],[87600,[-18.282602096834,-23.30503958666,-1.766620508028],[.0025567245263557,-.0019902940754171,-.0013943491701082]],[116800,[43.873338744526,7.700705617215,
|
|
-10.814273666425],[2.3174803055677E-4,.0022402163127924,6.2988756452032E-4]],[146E3,[7.392949027906,44.382678951534,11.629500214854],[-.002193281545383,-2.1751799585364E-4,5.9556516201114E-4]],[175200,[-24.981690229261,-16.204012851426,2.466457544298],[.001819398914958,-.0026765419531201,-.0013848283502247]],[204400,[42.530187039511,.845935508021,-12.554907527683],[6.5059779150669E-4,.0022725657282262,5.1133743202822E-4]],[233600,[13.999526486822,44.462363044894,9.669418486465],[-.0021079296569252,
|
|
1.7533423831993E-4,6.9128485798076E-4]],[262800,[-29.184024803031,-7.371243995762,6.493275957928],[9.3581363109681E-4,-.0030610357109184,-.0012364201089345]],[292E3,[39.831980671753,-6.078405766765,-13.909815358656],[.0011117769689167,.0022362097830152,3.6230548231153E-4]],[321200,[20.294955108476,43.417190420251,7.450091985932],[-.0019742157451535,5.3102050468554E-4,7.5938408813008E-4]],[350400,[-30.66999230216,2.318743558955,9.973480913858],[4.5605107450676E-5,-.0031308219926928,-9.9066533301924E-4]],
|
|
[379600,[35.626122155983,-12.897647509224,-14.777586508444],[.0016015684949743,.0021171931182284,1.8002516202204E-4]],[408800,[26.133186148561,41.232139187599,5.00640132622],[-.0017857704419579,8.6046232702817E-4,8.0614690298954E-4]],[438E3,[-29.57674022923,11.863535943587,12.631323039872],[-7.2292830060955E-4,-.0029587820140709,-7.08242964503E-4]],[467200,[29.910805787391,-19.159019294,-15.013363865194],[.0020871080437997,.0018848372554514,-3.8528655083926E-5]],[496400,[31.375957451819,38.050372720763,
|
|
2.433138343754],[-.0015546055556611,.0011699815465629,8.3565439266001E-4]],[525600,[-26.360071336928,20.662505904952,14.414696258958],[-.0013142373118349,-.0026236647854842,-4.2542017598193E-4]],[554800,[22.599441488648,-24.508879898306,-14.484045731468],[.0025454108304806,.0014917058755191,-3.0243665086079E-4]],[584E3,[35.877864013014,33.894226366071,-.224524636277],[-.0012941245730845,.0014560427668319,8.4762160640137E-4]],[613200,[-21.538149762417,28.204068269761,15.321973799534],[-.001731211740901,
|
|
-.0021939631314577,-1.631691327518E-4]],[642400,[13.971521374415,-28.339941764789,-13.083792871886],[.0029334630526035,9.1860931752944E-4,-5.9939422488627E-4]],[671600,[39.526942044143,28.93989736011,-2.872799527539],[-.0010068481658095,.001702113288809,8.3578230511981E-4]],[700800,[-15.576200701394,34.399412961275,15.466033737854],[-.0020098814612884,-.0017191109825989,7.0414782780416E-5]],[73E4,[4.24325283709,-30.118201690825,-10.707441231349],[.0031725847067411,1.609846120227E-4,-9.0672150593868E-4]]],
|
|
TerseVector=function(a,b,c){this.x=a;this.y=b;this.z=c};TerseVector.prototype.clone=function(){return new TerseVector(this.x,this.y,this.z)};TerseVector.prototype.ToAstroVector=function(a){return new Vector(this.x,this.y,this.z,a)};TerseVector.zero=function(){return new TerseVector(0,0,0)};TerseVector.prototype.quadrature=function(){return this.x*this.x+this.y*this.y+this.z*this.z};TerseVector.prototype.add=function(a){return new TerseVector(this.x+a.x,this.y+a.y,this.z+a.z)};
|
|
TerseVector.prototype.sub=function(a){return new TerseVector(this.x-a.x,this.y-a.y,this.z-a.z)};TerseVector.prototype.incr=function(a){this.x+=a.x;this.y+=a.y;this.z+=a.z};TerseVector.prototype.decr=function(a){this.x-=a.x;this.y-=a.y;this.z-=a.z};TerseVector.prototype.mul=function(a){return new TerseVector(a*this.x,a*this.y,a*this.z)};TerseVector.prototype.div=function(a){return new TerseVector(this.x/a,this.y/a,this.z/a)};
|
|
TerseVector.prototype.mean=function(a){return new TerseVector((this.x+a.x)/2,(this.y+a.y)/2,(this.z+a.z)/2)};TerseVector.prototype.neg=function(){return new TerseVector(-this.x,-this.y,-this.z)};var body_state_t=function(a,b,c){this.tt=a;this.r=b;this.v=c};body_state_t.prototype.clone=function(){return new body_state_t(this.tt,this.r,this.v)};body_state_t.prototype.sub=function(a){return new body_state_t(this.tt,this.r.sub(a.r),this.v.sub(a.v))};
|
|
function BodyStateFromTable(a){var b=$jscomp.makeIterator(a);a=b.next().value;var c=$jscomp.makeIterator(b.next().value),d=c.next().value,e=c.next().value;c=c.next().value;var f=$jscomp.makeIterator(b.next().value);b=f.next().value;var g=f.next().value;f=f.next().value;return new body_state_t(a,new TerseVector(d,e,c),new TerseVector(b,g,f))}function AdjustBarycenterPosVel(a,b,c,d){d/=d+SUN_GM;b=CalcVsopPosVel(vsop[c],b);a.r.incr(b.r.mul(d));a.v.incr(b.v.mul(d));return b}
|
|
function AccelerationIncrement(a,b,c){a=c.sub(a);c=a.quadrature();return a.mul(b/(c*Math.sqrt(c)))}
|
|
var major_bodies_t=function(a){var b=new body_state_t(a,new TerseVector(0,0,0),new TerseVector(0,0,0));this.Jupiter=AdjustBarycenterPosVel(b,a,Body.Jupiter,JUPITER_GM);this.Saturn=AdjustBarycenterPosVel(b,a,Body.Saturn,SATURN_GM);this.Uranus=AdjustBarycenterPosVel(b,a,Body.Uranus,URANUS_GM);this.Neptune=AdjustBarycenterPosVel(b,a,Body.Neptune,NEPTUNE_GM);this.Jupiter.r.decr(b.r);this.Jupiter.v.decr(b.v);this.Saturn.r.decr(b.r);this.Saturn.v.decr(b.v);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 body_state_t(a,b.r.mul(-1),b.v.mul(-1))};major_bodies_t.prototype.Acceleration=function(a){var b=AccelerationIncrement(a,SUN_GM,this.Sun.r);b.incr(AccelerationIncrement(a,JUPITER_GM,this.Jupiter.r));b.incr(AccelerationIncrement(a,SATURN_GM,this.Saturn.r));b.incr(AccelerationIncrement(a,URANUS_GM,this.Uranus.r));b.incr(AccelerationIncrement(a,NEPTUNE_GM,this.Neptune.r));return b};
|
|
var body_grav_calc_t=function(a,b,c,d){this.tt=a;this.r=b;this.v=c;this.a=d};body_grav_calc_t.prototype.clone=function(){return new body_grav_calc_t(this.tt,this.r.clone(),this.v.clone(),this.a.clone())};var grav_sim_t=function(a,b){this.bary=a;this.grav=b};function UpdatePosition(a,b,c,d){return new TerseVector(b.x+a*(c.x+a*d.x/2),b.y+a*(c.y+a*d.y/2),b.z+a*(c.z+a*d.z/2))}function UpdateVelocity(a,b,c){return new TerseVector(b.x+a*c.x,b.y+a*c.y,b.z+a*c.z)}
|
|
function GravSim(a,b){var c=a-b.tt,d=new major_bodies_t(a),e=UpdatePosition(c,b.r,b.v,b.a),f=d.Acceleration(e).mean(b.a);e=UpdatePosition(c,b.r,b.v,f);b=b.v.add(f.mul(c));c=d.Acceleration(e);a=new body_grav_calc_t(a,e,b,c);return new grav_sim_t(d,a)}var pluto_cache=[];function ClampIndex(a,b){a=Math.floor(a);return 0>a?0:a>=b?b-1:a}
|
|
function GravFromState(a){var b=BodyStateFromTable(a);a=new major_bodies_t(b.tt);var c=b.r.add(a.Sun.r),d=b.v.add(a.Sun.v),e=a.Acceleration(c);b=new body_grav_calc_t(b.tt,c,d,e);return new grav_sim_t(a,b)}
|
|
function GetSegment(a,b){var c=PlutoStateTable[0][0];if(b<c||b>PlutoStateTable[PLUTO_NUM_STATES-1][0])return null;b=ClampIndex((b-c)/PLUTO_TIME_STEP,PLUTO_NUM_STATES-1);if(!a[b]){c=a[b]=[];c[0]=GravFromState(PlutoStateTable[b]).grav;c[PLUTO_NSTEPS-1]=GravFromState(PlutoStateTable[b+1]).grav;var d,e=c[0].tt;for(d=1;d<PLUTO_NSTEPS-1;++d)c[d]=GravSim(e+=PLUTO_DT,c[d-1]).grav;e=c[PLUTO_NSTEPS-1].tt;var f=[];f[PLUTO_NSTEPS-1]=c[PLUTO_NSTEPS-1];for(d=PLUTO_NSTEPS-2;0<d;--d)f[d]=GravSim(e-=PLUTO_DT,f[d+
|
|
1]).grav;for(d=PLUTO_NSTEPS-2;0<d;--d)e=d/(PLUTO_NSTEPS-1),c[d].r=c[d].r.mul(1-e).add(f[d].r.mul(e)),c[d].v=c[d].v.mul(1-e).add(f[d].v.mul(e)),c[d].a=c[d].a.mul(1-e).add(f[d].a.mul(e))}return a[b]}function CalcPlutoOneWay(a,b,c){a=GravFromState(a);for(var d=Math.ceil((b-a.grav.tt)/c),e=0;e<d;++e)a=GravSim(e+1===d?b:a.grav.tt+c,a.grav);return a}
|
|
function CalcPluto(a,b){var c;if(c=GetSegment(pluto_cache,a.tt)){var d=ClampIndex((a.tt-c[0].tt)/PLUTO_DT,PLUTO_NSTEPS-1);var e=c[d];var f=c[d+1],g=e.a.mean(f.a);d=UpdatePosition(a.tt-e.tt,e.r,e.v,g);c=UpdateVelocity(a.tt-e.tt,e.v,g);var k=UpdatePosition(a.tt-f.tt,f.r,f.v,g);f=UpdateVelocity(a.tt-f.tt,f.v,g);g=(a.tt-e.tt)/PLUTO_DT;e=d.mul(1-g).add(k.mul(g));c=c.mul(1-g).add(f.mul(g))}else{var h=a.tt<PlutoStateTable[0][0]?CalcPlutoOneWay(PlutoStateTable[0],a.tt,-PLUTO_DT):CalcPlutoOneWay(PlutoStateTable[PLUTO_NUM_STATES-
|
|
1],a.tt,+PLUTO_DT);e=h.grav.r;c=h.grav.v;h=h.bary}b&&(h||(h=new major_bodies_t(a.tt)),e=e.sub(h.Sun.r),c=c.sub(h.Sun.v));return new StateVector(e.x,e.y,e.z,c.x,c.y,c.z,a)}
|
|
var Rotation_JUP_EQJ=new RotationMatrix([[.999432765338654,-.0336771074697641,0],[.0303959428906285,.902057912352809,.430543388542295],[-.0144994559663353,-.430299169409101,.902569881273754]]),JupiterMoonModel=[{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-5,1.9080016428617,.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-4,4.3188693178264,.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],[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,.878207923589328],a:[[.0071566594572575,0,0],[1.393029911E-6,1.1586745884981,2.6733443704266]],
|
|
l:[[2.310797886226E-4,2.1402987195942,.00145009784384],[-1.828635964118E-4,4.3188672736968,.01303413828263],[1.512378778204E-4,4.9373102372298,.01358483481252],[-1.163720969778E-4,4.300265986149,2.6733443704266],[-9.55478069846E-5,1.4936612842567,.01293892879857],[8.15246854464E-5,5.6222137132535,.89111478887838],[-8.01219679602E-5,1.2995922951532,1.0034433456729],[-6.07017260182E-5,.64978769669238,.50172167043264]],z:[[.0014289811307319,2.1256295942739,1.2727413029E-4],[7.71093122676E-4,5.5836330003496,
|
|
3.20643411E-5],[5.925911780766E-4,4.0899396636448,-.01290686414666],[2.045597496146E-4,5.2713683670372,-.12523544076106],[1.785118648258E-4,.28743156721063,.8782079244252],[1.131999784893E-4,1.4462127277818,3.5515522949802],[-6.5877816921E-5,2.2702423990985,-1.7951364394537],[4.97058888328E-5,5.9096792204858,1.7693227129285]],zeta:[[.0015932721570848,3.3368862796665,-1.2491307058E-4],[8.533093128905E-4,2.4133881688166,0],[3.513347911037E-4,5.9720789850127,-3.056101771E-5],[-1.441929255483E-4,1.0477061764435,
|
|
-5.6920632124E-4]]},{mu:2.82492144889909E-7,al:[-.3620341291375704,.376486233433828],a:[[.0125879701715314,0,0],[3.595204947E-6,.64965776007116,.50172168165034],[2.7580210652E-6,1.808423578151,3.1750660413359]],l:[[5.586040123824E-4,2.1404207189815,.00145009793231],[-3.805813868176E-4,2.7358844897853,2.972965062E-5],[2.205152863262E-4,.649796525964,.5017216724358],[1.877895151158E-4,1.8084787604005,3.1750660413359],[7.66916975242E-5,6.2720114319755,1.3928364636651],[7.47056855106E-5,1.2995916202344,
|
|
1.0034433456729]],z:[[.0073755808467977,5.5836071576084,3.206509914E-5],[2.065924169942E-4,5.9209831565786,.37648624194703],[1.589869764021E-4,.28744006242623,.8782079244252],[-1.561131605348E-4,2.1257397865089,1.2727441285E-4],[1.486043380971E-4,1.4462134301023,3.5515522949802],[6.35073108731E-5,5.9096803285954,1.7693227129285],[5.99351698525E-5,4.1125517584798,-2.7985797954589],[5.40660842731E-5,5.5390350845569,.00286834082283],[-4.89596900866E-5,4.6218149483338,-.62695712529519]],zeta:[[.0038422977898495,
|
|
2.4133922085557,0],[.0022453891791894,5.9721736773277,-3.056125525E-5],[-2.604479450559E-4,3.3368746306409,-1.2491309972E-4],[3.3211214323E-5,5.5604137742337,.00290037688507]]}],JupiterMoonsInfo=function(a,b,c,d){this.io=a;this.europa=b;this.ganymede=c;this.callisto=d};exports.JupiterMoonsInfo=JupiterMoonsInfo;
|
|
function JupiterMoon_elem2pv(a,b,c){var d=c[0],e=c[1],f=c[2],g=c[3],k=c[4];c=c[5];var h=Math.sqrt(b/(d*d*d));b=e+f*Math.sin(e)-g*Math.cos(e);do{var l=Math.cos(b);var m=Math.sin(b);l=(e-b+f*m-g*l)/(1-f*l-g*m);b+=l}while(1E-12<=Math.abs(l));l=Math.cos(b);m=Math.sin(b);b=g*l-f*m;var n=-f*l-g*m,p=1/(1+n),q=1/(1+Math.sqrt(1-f*f-g*g));e=d*(l-f-q*g*b);b=d*(m-g+q*f*b);g=h*p*d*(-m-q*g*n);d=h*p*d*(+l+q*f*n);f=2*Math.sqrt(1-k*k-c*c);h=1-2*c*c;l=1-2*k*k;m=2*c*k;return new StateVector(e*h+b*m,e*m+b*l,(k*b-e*c)*
|
|
f,g*h+d*m,g*m+d*l,(k*d-g*c)*f,a)}
|
|
function CalcJupiterMoon(a,b){for(var c=a.tt+18262.5,d=[0,b.al[0]+c*b.al[1],0,0,0,0],e=$jscomp.makeIterator(b.a),f=e.next();!f.done;f=e.next()){var g=$jscomp.makeIterator(f.value);f=g.next().value;var k=g.next().value;g=g.next().value;d[0]+=f*Math.cos(k+c*g)}e=$jscomp.makeIterator(b.l);for(f=e.next();!f.done;f=e.next())g=$jscomp.makeIterator(f.value),f=g.next().value,k=g.next().value,g=g.next().value,d[1]+=f*Math.sin(k+c*g);d[1]%=PI2;0>d[1]&&(d[1]+=PI2);e=$jscomp.makeIterator(b.z);for(f=e.next();!f.done;f=
|
|
e.next())g=$jscomp.makeIterator(f.value),f=g.next().value,k=g.next().value,g=g.next().value,k+=c*g,d[2]+=f*Math.cos(k),d[3]+=f*Math.sin(k);e=$jscomp.makeIterator(b.zeta);for(f=e.next();!f.done;f=e.next())g=$jscomp.makeIterator(f.value),f=g.next().value,k=g.next().value,g=g.next().value,k+=c*g,d[4]+=f*Math.cos(k),d[5]+=f*Math.sin(k);a=JupiterMoon_elem2pv(a,b.mu,d);return RotateState(Rotation_JUP_EQJ,a)}
|
|
function JupiterMoons(a){a=new AstroTime(a);return new JupiterMoonsInfo(CalcJupiterMoon(a,JupiterMoonModel[0]),CalcJupiterMoon(a,JupiterMoonModel[1]),CalcJupiterMoon(a,JupiterMoonModel[2]),CalcJupiterMoon(a,JupiterMoonModel[3]))}exports.JupiterMoons=JupiterMoons;
|
|
function HelioVector(a,b){b=MakeTime(b);if(a in vsop)return CalcVsop(vsop[a],b);if(a===Body.Pluto)return a=CalcPluto(b,!0),new Vector(a.x,a.y,a.z,b);if(a===Body.Sun)return new Vector(0,0,0,b);if(a===Body.Moon){a=CalcVsop(vsop.Earth,b);var c=GeoMoon(b);return new Vector(a.x+c.x,a.y+c.y,a.z+c.z,b)}if(a===Body.EMB){a=CalcVsop(vsop.Earth,b);c=GeoMoon(b);var d=1+EARTH_MOON_MASS_RATIO;return new Vector(a.x+c.x/d,a.y+c.y/d,a.z+c.z/d,b)}if(a===Body.SSB)return CalcSolarSystemBarycenter(b);if(c=UserDefinedStar(a))return a=
|
|
new Spherical(c.dec,15*c.ra,c.dist),VectorFromSphere(a,b);throw'HelioVector: Unknown body "'+a+'"';}exports.HelioVector=HelioVector;function HelioDistance(a,b){var c=UserDefinedStar(a);if(c)return c.dist;b=MakeTime(b);return a in vsop?VsopFormula(vsop[a][RAD_INDEX],b.tt/DAYS_PER_MILLENNIUM,!1):HelioVector(a,b).Length()}exports.HelioDistance=HelioDistance;
|
|
function CorrectLightTravel(a,b){for(var c=b,d=0,e=0;10>e;++e){var f=a(c);d=f.Length()/exports.C_AUDAY;if(1<d)throw"Object is too distant for light-travel solver.";var g=b.AddDays(-d);d=Math.abs(g.tt-c.tt);if(1E-9>d)return f;c=g}throw"Light-travel time solver did not converge: dt = "+d;}exports.CorrectLightTravel=CorrectLightTravel;var BodyPosition=function(a,b,c,d){this.observerBody=a;this.targetBody=b;this.aberration=c;this.observerPos=d};
|
|
BodyPosition.prototype.Position=function(a){this.aberration&&(this.observerPos=HelioVector(this.observerBody,a));var b=HelioVector(this.targetBody,a);return new Vector(b.x-this.observerPos.x,b.y-this.observerPos.y,b.z-this.observerPos.z,a)};
|
|
function BackdatePosition(a,b,c,d){VerifyBoolean(d);a=MakeTime(a);if(UserDefinedStar(c)){c=HelioVector(c,a);if(d)return b=HelioState(b,a),d=new Vector(c.x-b.x,c.y-b.y,c.z-b.z,a),c=exports.C_AUDAY/d.Length(),new Vector(d.x+b.vx/c,d.y+b.vy/c,d.z+b.vz/c,a);b=HelioVector(b,a);return new Vector(c.x-b.x,c.y-b.y,c.z-b.z,a)}var e=d?new Vector(0,0,0,a):HelioVector(b,a);var f=new BodyPosition(b,c,d,e);return CorrectLightTravel(function(g){return f.Position(g)},a)}exports.BackdatePosition=BackdatePosition;
|
|
function GeoVector(a,b,c){VerifyBoolean(c);b=MakeTime(b);switch(a){case Body.Earth:return new Vector(0,0,0,b);case Body.Moon:return GeoMoon(b);default:return a=BackdatePosition(b,Body.Earth,a,c),a.t=b,a}}exports.GeoVector=GeoVector;function ExportState(a,b){return new StateVector(a.r.x,a.r.y,a.r.z,a.v.x,a.v.y,a.v.z,b)}
|
|
function BaryState(a,b){b=MakeTime(b);if(a===Body.SSB)return new StateVector(0,0,0,0,0,0,b);if(a===Body.Pluto)return CalcPluto(b,!1);var c=new major_bodies_t(b.tt);switch(a){case Body.Sun:return ExportState(c.Sun,b);case Body.Jupiter:return ExportState(c.Jupiter,b);case Body.Saturn:return ExportState(c.Saturn,b);case Body.Uranus:return ExportState(c.Uranus,b);case Body.Neptune:return ExportState(c.Neptune,b);case Body.Moon:case Body.EMB:var d=CalcVsopPosVel(vsop[Body.Earth],b.tt);a=a===Body.Moon?
|
|
GeoMoonState(b):GeoEmbState(b);return new StateVector(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 vsop)return a=CalcVsopPosVel(vsop[a],b.tt),new StateVector(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);throw'BaryState: Unsupported body "'+a+'"';}exports.BaryState=BaryState;
|
|
function HelioState(a,b){b=MakeTime(b);switch(a){case Body.Sun:return new StateVector(0,0,0,0,0,0,b);case Body.SSB:return a=new major_bodies_t(b.tt),new StateVector(-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 Body.Mercury:case Body.Venus:case Body.Earth:case Body.Mars:case Body.Jupiter:case Body.Saturn:case Body.Uranus:case Body.Neptune:return a=CalcVsopPosVel(vsop[a],b.tt),ExportState(a,b);case Body.Pluto:return CalcPluto(b,!0);case Body.Moon:case Body.EMB:var c=CalcVsopPosVel(vsop.Earth,
|
|
b.tt);a=a==Body.Moon?GeoMoonState(b):GeoEmbState(b);return new StateVector(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);default:if(UserDefinedStar(a))return a=HelioVector(a,b),new StateVector(a.x,a.y,a.z,0,0,0,b);throw'HelioState: Unsupported body "'+a+'"';}}exports.HelioState=HelioState;
|
|
function QuadInterp(a,b,c,d,e){var f=(e+c)/2-d;c=(e-c)/2;if(0==f){if(0==c)return null;d=-d/c;if(-1>d||1<d)return null}else{d=c*c-4*f*d;if(0>=d)return null;e=Math.sqrt(d);d=(-c+e)/(2*f);e=(-c-e)/(2*f);if(-1<=d&&1>=d){if(-1<=e&&1>=e)return null}else if(-1<=e&&1>=e)d=e;else return null}return{t:a+d*b,df_dt:(2*f*d+c)/b}}
|
|
function Search(a,b,c,d){var e=VerifyNumber(d&&d.dt_tolerance_seconds||1);e=Math.abs(e/SECONDS_PER_DAY);var f=d&&d.init_f1||a(b),g=d&&d.init_f2||a(c),k=NaN,h=0;d=d&&d.iter_limit||20;for(var l=!0;;){if(++h>d)throw"Excessive iteration in Search()";var m=InterpolateTime(b,c,.5),n=m.ut-b.ut;if(Math.abs(n)<e)return m;l?k=a(m):l=!0;var p=QuadInterp(m.ut,c.ut-m.ut,f,k,g);if(p){var q=MakeTime(p.t),r=a(q);if(0!==p.df_dt){if(Math.abs(r/p.df_dt)<e)return q;p=1.2*Math.abs(r/p.df_dt);if(p<n/10&&(n=q.AddDays(-p),
|
|
q=q.AddDays(+p),0>(n.ut-b.ut)*(n.ut-c.ut)&&0>(q.ut-b.ut)*(q.ut-c.ut))){p=a(n);var t=a(q);if(0>p&&0<=t){f=p;g=t;b=n;c=q;k=r;l=!1;continue}}}}if(0>f&&0<=k)c=m,g=k;else if(0>k&&0<=g)b=m,f=k;else return null}}exports.Search=Search;function LongitudeOffset(a){for(;-180>=a;)a+=360;for(;180<a;)a-=360;return a}function NormalizeLongitude(a){for(;0>a;)a+=360;for(;360<=a;)a-=360;return a}
|
|
function SearchSunLongitude(a,b,c){VerifyNumber(a);VerifyNumber(c);b=MakeTime(b);c=b.AddDays(c);return Search(function(d){d=SunPosition(d);return LongitudeOffset(d.elon-a)},b,c,{dt_tolerance_seconds:.01})}exports.SearchSunLongitude=SearchSunLongitude;
|
|
function PairLongitude(a,b,c){if(a===Body.Earth||b===Body.Earth)throw"The Earth does not have a longitude as seen from itself.";c=MakeTime(c);a=GeoVector(a,c,!1);a=Ecliptic(a);b=GeoVector(b,c,!1);b=Ecliptic(b);return NormalizeLongitude(a.elon-b.elon)}exports.PairLongitude=PairLongitude;function AngleFromSun(a,b){if(a==Body.Earth)throw"The Earth does not have an angle as seen from itself.";var c=MakeTime(b);b=GeoVector(Body.Sun,c,!0);a=GeoVector(a,c,!0);return AngleBetween(b,a)}
|
|
exports.AngleFromSun=AngleFromSun;function EclipticLongitude(a,b){if(a===Body.Sun)throw"Cannot calculate heliocentric longitude of the Sun.";a=HelioVector(a,b);return Ecliptic(a).elon}exports.EclipticLongitude=EclipticLongitude;
|
|
function VisualMagnitude(a,b,c,d){var e=0,f=0,g=0;switch(a){case Body.Mercury:a=-.6;e=4.98;f=-4.88;g=3.02;break;case Body.Venus:163.6>b?(a=-4.47,e=1.03,f=.57,g=.13):(a=.98,e=-1.02);break;case Body.Mars:a=-1.52;e=1.6;break;case Body.Jupiter:a=-9.4;e=.5;break;case Body.Uranus:a=-7.19;e=.25;break;case Body.Neptune:a=-6.87;break;case Body.Pluto:a=-1;e=4;break;default:throw"VisualMagnitude: unsupported body "+a;}b/=100;return a+b*(e+b*(f+b*g))+5*Math.log10(c*d)}
|
|
function SaturnMagnitude(a,b,c,d,e){d=Ecliptic(d);var f=28.06*exports.DEG2RAD,g=exports.DEG2RAD*d.elat;e=Math.asin(Math.sin(g)*Math.cos(f)-Math.cos(g)*Math.sin(f)*Math.sin(exports.DEG2RAD*d.elon-exports.DEG2RAD*(169.51+3.82E-5*e.tt)));d=Math.sin(Math.abs(e));a=-9+.044*a+d*(-2.6+1.2*d)+5*Math.log10(b*c);return{mag:a,ring_tilt:exports.RAD2DEG*e}}function MoonMagnitude(a,b,c){a*=exports.DEG2RAD;var d=a*a;a=-12.717+1.49*Math.abs(a)+.0431*d*d;return a+=5*Math.log10(c/(385000.6/exports.KM_PER_AU)*b)}
|
|
var IlluminationInfo=function(a,b,c,d,e,f,g,k){this.time=a;this.mag=b;this.phase_angle=c;this.helio_dist=d;this.geo_dist=e;this.gc=f;this.hc=g;this.ring_tilt=k;this.phase_fraction=(1+Math.cos(exports.DEG2RAD*c))/2};exports.IlluminationInfo=IlluminationInfo;
|
|
function Illumination(a,b){if(a===Body.Earth)throw"The illumination of the Earth is not defined.";var c=MakeTime(b),d=CalcVsop(vsop.Earth,c);if(a===Body.Sun){var e=new Vector(-d.x,-d.y,-d.z,c);b=new Vector(0,0,0,c);d=0}else a===Body.Moon?(e=GeoMoon(c),b=new Vector(d.x+e.x,d.y+e.y,d.z+e.z,c)):(b=HelioVector(a,b),e=new Vector(b.x-d.x,b.y-d.y,b.z-d.z,c)),d=AngleBetween(e,b);var f=e.Length(),g=b.Length();if(a===Body.Sun)a=SUN_MAG_1AU+5*Math.log10(f);else if(a===Body.Moon)a=MoonMagnitude(d,g,f);else if(a===
|
|
Body.Saturn){var k=SaturnMagnitude(d,g,f,e,c);a=k.mag;k=k.ring_tilt}else a=VisualMagnitude(a,d,g,f);return new IlluminationInfo(c,a,d,g,f,e,b,k)}exports.Illumination=Illumination;function SynodicPeriod(a){if(a===Body.Earth)throw"The Earth does not have a synodic period as seen from itself.";if(a===Body.Moon)return MEAN_SYNODIC_MONTH;var b=Planet[a];if(!b)throw"Not a valid planet name: "+a;a=Planet.Earth.OrbitalPeriod;return Math.abs(a/(a/b.OrbitalPeriod-1))}
|
|
function SearchRelativeLongitude(a,b,c){function d(l){var m=EclipticLongitude(a,l);l=EclipticLongitude(Body.Earth,l);return LongitudeOffset(f*(l-m)-b)}VerifyNumber(b);var e=Planet[a];if(!e)throw"Cannot search relative longitude because body is not a planet: "+a;if(a===Body.Earth)throw"Cannot search relative longitude for the Earth (it is always 0)";var f=e.OrbitalPeriod>Planet.Earth.OrbitalPeriod?1:-1;e=SynodicPeriod(a);c=MakeTime(c);var g=d(c);0<g&&(g-=360);for(var k=0;100>k;++k){var h=-g/360*e;
|
|
c=c.AddDays(h);if(1>Math.abs(h)*SECONDS_PER_DAY)return c;h=g;g=d(c);30>Math.abs(h)&&h!==g&&(h/=h-g,.5<h&&2>h&&(e*=h))}throw"Relative longitude search failed to converge for "+a+" near "+c.toString()+" (error_angle = "+g+").";}exports.SearchRelativeLongitude=SearchRelativeLongitude;function MoonPhase(a){return PairLongitude(Body.Moon,Body.Sun,a)}exports.MoonPhase=MoonPhase;
|
|
function SearchMoonPhase(a,b,c){function d(k){k=MoonPhase(k);return LongitudeOffset(k-a)}VerifyNumber(a);VerifyNumber(c);b=MakeTime(b);var e=d(b);if(0>c){0>e&&(e+=360);var f=-(MEAN_SYNODIC_MONTH*e)/360;e=f+1.5;if(e<c)return null;var g=Math.max(c,f-1.5)}else{0<e&&(e-=360);f=-(MEAN_SYNODIC_MONTH*e)/360;g=f-1.5;if(g>c)return null;e=Math.min(c,f+1.5)}c=b.AddDays(g);b=b.AddDays(e);return Search(d,c,b,{dt_tolerance_seconds:.1})}exports.SearchMoonPhase=SearchMoonPhase;
|
|
var MoonQuarter=function(a,b){this.quarter=a;this.time=b};exports.MoonQuarter=MoonQuarter;function SearchMoonQuarter(a){var b=MoonPhase(a);b=(Math.floor(b/90)+1)%4;a=SearchMoonPhase(90*b,a,10);if(!a)throw"Cannot find moon quarter";return new MoonQuarter(b,a)}exports.SearchMoonQuarter=SearchMoonQuarter;function NextMoonQuarter(a){a=new Date(a.time.date.getTime()+6*MILLIS_PER_DAY);return SearchMoonQuarter(a)}exports.NextMoonQuarter=NextMoonQuarter;
|
|
var AtmosphereInfo=function(a,b,c){this.pressure=a;this.temperature=b;this.density=c};exports.AtmosphereInfo=AtmosphereInfo;function Atmosphere(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));return new AtmosphereInfo(a,b,a/b/(101325/288.15))}exports.Atmosphere=Atmosphere;
|
|
function HorizonDipAngle(a,b){var c=a.latitude*exports.DEG2RAD,d=Math.sin(c);c=Math.cos(c);var e=1/Math.hypot(c,d*EARTH_FLATTENING),f=(a.height-b)/1E3;a=.175*Math.pow(1-.0065/283.15*(a.height-2/3*b),3.256);return exports.RAD2DEG*-(Math.sqrt(2*(1-a)*b/(1E3*Math.hypot((EARTH_EQUATORIAL_RADIUS_KM*e+f)*c,(EARTH_EQUATORIAL_RADIUS_KM*e*EARTH_FLATTENING*EARTH_FLATTENING+f)*d)))/(1-a))}
|
|
function BodyRadiusAu(a){switch(a){case Body.Sun:return SUN_RADIUS_AU;case Body.Moon:return MOON_EQUATORIAL_RADIUS_AU;default:return 0}}function SearchRiseSet(a,b,c,d,e,f){f=void 0===f?0:f;if(!Number.isFinite(f)||0>f)throw"Invalid value for metersAboveGround: "+f;var g=BodyRadiusAu(a),k=Atmosphere(b.height-f);f=HorizonDipAngle(b,f)-REFRACTION_NEAR_HORIZON*k.density;return InternalSearchAltitude(a,b,c,d,e,g,f)}exports.SearchRiseSet=SearchRiseSet;
|
|
function SearchAltitude(a,b,c,d,e,f){if(!Number.isFinite(f)||-90>f||90<f)throw"Invalid altitude angle: "+f;return InternalSearchAltitude(a,b,c,d,e,0,f)}exports.SearchAltitude=SearchAltitude;var AscentInfo=function(a,b,c,d){this.tx=a;this.ty=b;this.ax=c;this.ay=d};
|
|
function FindAscent(a,b,c,d,e,f,g){if(0>f&&0<=g)return new AscentInfo(d,e,f,g);if(0<=f&&0>g)return null;if(17<a)throw"Excessive recursion in rise/set ascent search.";var k=e.ut-d.ut;if(1>k*SECONDS_PER_DAY||Math.min(Math.abs(f),Math.abs(g))>k/2*c)return null;k=new AstroTime((d.ut+e.ut)/2);var h=b(k);return FindAscent(1+a,b,c,d,k,f,h)||FindAscent(1+a,b,c,k,e,h,g)}
|
|
function MaxAltitudeSlope(a,b){if(-90>b||90<b)throw"Invalid geographic latitude: "+b;switch(a){case Body.Moon:a=4.5;var c=8.2;break;case Body.Sun:a=.8;c=.5;break;case Body.Mercury:a=-1.6;c=1;break;case Body.Venus:a=-.8;c=.6;break;case Body.Mars:a=-.5;c=.4;break;case Body.Jupiter:case Body.Saturn:case Body.Uranus:case Body.Neptune:case Body.Pluto:a=-.2;c=.2;break;case Body.Star1:case Body.Star2:case Body.Star3:case Body.Star4:case Body.Star5:case Body.Star6:case Body.Star7:case Body.Star8:a=-.008;
|
|
c=.008;break;default:throw"Body not allowed for altitude search: "+a;}b*=exports.DEG2RAD;return Math.abs((360/SOLAR_DAYS_PER_SIDEREAL_DAY-a)*Math.cos(b))+Math.abs(c*Math.sin(b))}
|
|
function InternalSearchAltitude(a,b,c,d,e,f,g){function k(r){var t=Equator(a,r,b,!0,!0);r=Horizon(r,b,t.ra,t.dec).altitude+exports.RAD2DEG*Math.asin(f/t.dist);return c*(r-g)}VerifyObserver(b);VerifyNumber(e);VerifyNumber(f);VerifyNumber(g);if(-90>g||90<g)throw"Invalid target altitude angle: "+g;for(var h=MaxAltitudeSlope(a,b.latitude),l=d=MakeTime(d),m=d,n=k(l),p=n;;){0>e?(l=m.AddDays(-.42),n=k(l)):(m=l.AddDays(.42),p=k(m));var q=FindAscent(0,k,h,l,m,n,p);if(q){if(h=Search(k,q.tx,q.ty,{dt_tolerance_seconds:.1,
|
|
init_f1:q.ax,init_f2:q.ay})){if(0>e){if(h.ut<d.ut+e)return null}else if(h.ut>d.ut+e)return null;return h}throw"Rise/set search failed after finding ascent: t1="+l+", t2="+m+", a1="+n+", a2="+p;}if(0>e){if(l.ut<d.ut+e)return null;m=l;p=n}else{if(m.ut>d.ut+e)return null;l=m;n=p}}}var HourAngleEvent=function(a,b){this.time=a;this.hor=b};exports.HourAngleEvent=HourAngleEvent;
|
|
function SearchHourAngle(a,b,c,d,e){e=void 0===e?1:e;VerifyObserver(b);d=MakeTime(d);var f=0;if(a===Body.Earth)throw"Cannot search for hour angle of the Earth.";VerifyNumber(c);if(0>c||24<=c)throw"Invalid hour angle "+c;VerifyNumber(e);if(0===e)throw"Direction must be positive or negative.";for(;;){++f;var g=sidereal_time(d),k=Equator(a,d,b,!0,!0);g=(c+k.ra-b.longitude/15-g)%24;1===f?0<e?0>g&&(g+=24):0<g&&(g-=24):-12>g?g+=24:12<g&&(g-=24);if(.1>3600*Math.abs(g))return a=Horizon(d,b,k.ra,k.dec,"normal"),
|
|
new HourAngleEvent(d,a);d=d.AddDays(g/24*SOLAR_DAYS_PER_SIDEREAL_DAY)}}exports.SearchHourAngle=SearchHourAngle;function HourAngle(a,b,c){var d=MakeTime(b);b=SiderealTime(d);a=Equator(a,d,c,!0,!0);c=(c.longitude/15+b-a.ra)%24;0>c&&(c+=24);return c}exports.HourAngle=HourAngle;var SeasonInfo=function(a,b,c,d){this.mar_equinox=a;this.jun_solstice=b;this.sep_equinox=c;this.dec_solstice=d};exports.SeasonInfo=SeasonInfo;
|
|
function Seasons(a){function b(g,k,h){k=new Date(Date.UTC(a,k-1,h));g=SearchSunLongitude(g,k,20);if(!g)throw"Cannot find season change near "+k.toISOString();return g}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.";var c=b(0,3,10),d=b(90,6,10),e=b(180,9,10),f=b(270,12,10);return new SeasonInfo(c,d,e,f)}exports.Seasons=Seasons;
|
|
var ElongationEvent=function(a,b,c,d){this.time=a;this.visibility=b;this.elongation=c;this.ecliptic_separation=d};exports.ElongationEvent=ElongationEvent;function Elongation(a,b){b=MakeTime(b);var c=PairLongitude(a,Body.Sun,b);if(180<c){var d="morning";c=360-c}else d="evening";a=AngleFromSun(a,b);return new ElongationEvent(b,d,a,c)}exports.Elongation=Elongation;
|
|
function SearchMaxElongation(a,b){function c(l){var m=l.AddDays(-.005);l=l.AddDays(.005);m=AngleFromSun(a,m);l=AngleFromSun(a,l);return(m-l)/.01}b=MakeTime(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 e=0;2>=++e;){var f=EclipticLongitude(a,b),g=EclipticLongitude(Body.Earth,b),k=LongitudeOffset(f-g),h=f=g=void 0;k>=-d.s1&&k<+d.s1?(h=0,g=+d.s1,f=+d.s2):k>=+d.s2||k<-d.s2?(h=0,g=-d.s2,f=-d.s1):0<=k?(h=-SynodicPeriod(a)/
|
|
4,g=+d.s1,f=+d.s2):(h=-SynodicPeriod(a)/4,g=-d.s2,f=-d.s1);k=b.AddDays(h);g=SearchRelativeLongitude(a,g,k);f=SearchRelativeLongitude(a,f,g);k=c(g);if(0<=k)throw"SearchMaxElongation: internal error: m1 = "+k;h=c(f);if(0>=h)throw"SearchMaxElongation: internal error: m2 = "+h;k=Search(c,g,f,{init_f1:k,init_f2:h,dt_tolerance_seconds:10});if(!k)throw"SearchMaxElongation: failed search iter "+e+" (t1="+g.toString()+", t2="+f.toString()+")";if(k.tt>=b.tt)return Elongation(a,k);b=f.AddDays(1)}throw"SearchMaxElongation: failed to find event after 2 tries.";
|
|
}exports.SearchMaxElongation=SearchMaxElongation;
|
|
function SearchPeakMagnitude(a,b){function c(h){var l=h.AddDays(-.005);h=h.AddDays(.005);l=Illumination(a,l).mag;return(Illumination(a,h).mag-l)/.01}if(a!==Body.Venus)throw"SearchPeakMagnitude currently works for Venus only.";b=MakeTime(b);for(var d=0;2>=++d;){var e=EclipticLongitude(a,b),f=EclipticLongitude(Body.Earth,b),g=LongitudeOffset(e-f),k=e=f=void 0;-10<=g&&10>g?(k=0,f=10,e=30):30<=g||-30>g?(k=0,f=-30,e=-10):0<=g?(k=-SynodicPeriod(a)/4,f=10,e=30):(k=-SynodicPeriod(a)/4,f=-30,e=-10);g=b.AddDays(k);
|
|
f=SearchRelativeLongitude(a,f,g);e=SearchRelativeLongitude(a,e,f);g=c(f);if(0<=g)throw"SearchPeakMagnitude: internal error: m1 = "+g;k=c(e);if(0>=k)throw"SearchPeakMagnitude: internal error: m2 = "+k;g=Search(c,f,e,{init_f1:g,init_f2:k,dt_tolerance_seconds:10});if(!g)throw"SearchPeakMagnitude: failed search iter "+d+" (t1="+f.toString()+", t2="+e.toString()+")";if(g.tt>=b.tt)return Illumination(a,g);b=e.AddDays(1)}throw"SearchPeakMagnitude: failed to find event after 2 tries.";}
|
|
exports.SearchPeakMagnitude=SearchPeakMagnitude;var ApsisKind;(function(a){a[a.Pericenter=0]="Pericenter";a[a.Apocenter=1]="Apocenter"})(ApsisKind=exports.ApsisKind||(exports.ApsisKind={}));var Apsis=function(a,b,c){this.time=a;this.kind=b;this.dist_au=c;this.dist_km=c*exports.KM_PER_AU};exports.Apsis=Apsis;
|
|
function SearchLunarApsis(a){function b(k){var h=k.AddDays(-5E-4);k=k.AddDays(5E-4);h=CalcMoon(h).distance_au;return(CalcMoon(k).distance_au-h)/.001}function c(k){return-b(k)}a=MakeTime(a);for(var d=b(a),e=0;5*e<2*MEAN_SYNODIC_MONTH;++e){var f=a.AddDays(5),g=b(f);if(0>=d*g){if(0>d||0<g){a=Search(b,a,f,{init_f1:d,init_f2:g});if(!a)throw"SearchLunarApsis INTERNAL ERROR: perigee search failed!";d=CalcMoon(a).distance_au;return new Apsis(a,0,d)}if(0<d||0>g){a=Search(c,a,f,{init_f1:-d,init_f2:-g});if(!a)throw"SearchLunarApsis INTERNAL ERROR: apogee search failed!";
|
|
d=CalcMoon(a).distance_au;return new Apsis(a,1,d)}throw"SearchLunarApsis INTERNAL ERROR: cannot classify apsis event!";}a=f;d=g}throw"SearchLunarApsis INTERNAL ERROR: could not find apsis within 2 synodic months of start date.";}exports.SearchLunarApsis=SearchLunarApsis;
|
|
function NextLunarApsis(a){var b=SearchLunarApsis(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}exports.NextLunarApsis=NextLunarApsis;
|
|
function PlanetExtreme(a,b,c,d){for(var e=b===ApsisKind.Apocenter?1:-1;;){d/=9;if(d<1/1440)return c=c.AddDays(d/2),a=HelioDistance(a,c),new Apsis(c,b,a);for(var f=-1,g=0,k=0;10>k;++k){var h=c.AddDays(k*d);h=e*HelioDistance(a,h);if(0==k||h>g)f=k,g=h}c=c.AddDays((f-1)*d);d*=2}}
|
|
function BruteSearchPlanetApsis(a,b){var c=b.AddDays(-30/360*Planet[a].OrbitalPeriod),d=b.AddDays(.75*Planet[a].OrbitalPeriod),e=c,f=c,g=-1,k=-1;d=(d.ut-c.ut)/99;for(var h=0;100>h;++h){var l=c.AddDays(h*d),m=HelioDistance(a,l);0===h?k=g=m:(m>k&&(k=m,f=l),m<g&&(g=m,e=l))}c=PlanetExtreme(a,0,e.AddDays(-2*d),4*d);a=PlanetExtreme(a,1,f.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 SearchPlanetApsis(a,b){function c(m){var n=m.AddDays(-5E-4);m=m.AddDays(5E-4);n=HelioDistance(a,n);return(HelioDistance(a,m)-n)/.001}function d(m){return-c(m)}b=MakeTime(b);if(a===Body.Neptune||a===Body.Pluto)return BruteSearchPlanetApsis(a,b);for(var e=Planet[a].OrbitalPeriod,f=e/6,g=c(b),k=0;k*f<2*e;++k){var h=b.AddDays(f),l=c(h);if(0>=g*l){e=f=void 0;if(0>g||0<l)f=c,e=ApsisKind.Pericenter;else if(0<g||0>l)f=d,e=ApsisKind.Apocenter;else throw"Internal error with slopes in SearchPlanetApsis";b=
|
|
Search(f,b,h);if(!b)throw"Failed to find slope transition in planetary apsis search.";g=HelioDistance(a,b);return new Apsis(b,e,g)}b=h;g=l}throw"Internal error: should have found planetary apsis within 2 orbital periods.";}exports.SearchPlanetApsis=SearchPlanetApsis;
|
|
function NextPlanetApsis(a,b){if(b.kind!==ApsisKind.Pericenter&&b.kind!==ApsisKind.Apocenter)throw"Invalid apsis kind: "+b.kind;var c=b.time.AddDays(.25*Planet[a].OrbitalPeriod);a=SearchPlanetApsis(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}exports.NextPlanetApsis=NextPlanetApsis;
|
|
function InverseRotation(a){return new RotationMatrix([[a.rot[0][0],a.rot[1][0],a.rot[2][0]],[a.rot[0][1],a.rot[1][1],a.rot[2][1]],[a.rot[0][2],a.rot[1][2],a.rot[2][2]]])}exports.InverseRotation=InverseRotation;
|
|
function CombineRotation(a,b){return new RotationMatrix([[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]],[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]]])}exports.CombineRotation=CombineRotation;function IdentityMatrix(){return new RotationMatrix([[1,0,0],[0,1,0],[0,0,1]])}exports.IdentityMatrix=IdentityMatrix;
|
|
function Pivot(a,b,c){if(0!==b&&1!==b&&2!==b)throw"Invalid axis "+b+". Must be [0, 1, 2].";var d=VerifyNumber(c)*exports.DEG2RAD;c=Math.cos(d);d=Math.sin(d);var e=(b+1)%3,f=(b+2)%3,g=[[0,0,0],[0,0,0],[0,0,0]];g[e][e]=c*a.rot[e][e]-d*a.rot[e][f];g[e][f]=d*a.rot[e][e]+c*a.rot[e][f];g[e][b]=a.rot[e][b];g[f][e]=c*a.rot[f][e]-d*a.rot[f][f];g[f][f]=d*a.rot[f][e]+c*a.rot[f][f];g[f][b]=a.rot[f][b];g[b][e]=c*a.rot[b][e]-d*a.rot[b][f];g[b][f]=d*a.rot[b][e]+c*a.rot[b][f];g[b][b]=a.rot[b][b];return new RotationMatrix(g)}
|
|
exports.Pivot=Pivot;function VectorFromSphere(a,b){b=MakeTime(b);var c=a.lat*exports.DEG2RAD,d=a.lon*exports.DEG2RAD,e=a.dist*Math.cos(c);return new Vector(e*Math.cos(d),e*Math.sin(d),a.dist*Math.sin(c),b)}exports.VectorFromSphere=VectorFromSphere;function EquatorFromVector(a){var b=SphereFromVector(a);return new EquatorialCoordinates(b.lon/15,b.lat,b.dist,a)}exports.EquatorFromVector=EquatorFromVector;
|
|
function SphereFromVector(a){var b=a.x*a.x+a.y*a.y,c=Math.sqrt(b+a.z*a.z);if(0===b){if(0===a.z)throw"Zero-length vector not allowed.";var d=0;a=0>a.z?-90:90}else d=exports.RAD2DEG*Math.atan2(a.y,a.x),0>d&&(d+=360),a=exports.RAD2DEG*Math.atan2(a.z,Math.sqrt(b));return new Spherical(a,d,c)}exports.SphereFromVector=SphereFromVector;function ToggleAzimuthDirection(a){a=360-a;360<=a?a-=360:0>a&&(a+=360);return a}
|
|
function HorizonFromVector(a,b){a=SphereFromVector(a);a.lon=ToggleAzimuthDirection(a.lon);a.lat+=Refraction(b,a.lat);return a}exports.HorizonFromVector=HorizonFromVector;function VectorFromHorizon(a,b,c){b=MakeTime(b);var d=ToggleAzimuthDirection(a.lon);c=a.lat+InverseRefraction(c,a.lat);a=new Spherical(c,d,a.dist);return VectorFromSphere(a,b)}exports.VectorFromHorizon=VectorFromHorizon;
|
|
function Refraction(a,b){VerifyNumber(b);if(-90>b||90<b)return 0;if("normal"===a||"jplhor"===a){var c=b;-1>c&&(c=-1);c=1.02/Math.tan((c+10.3/(c+5.11))*exports.DEG2RAD)/60;"normal"===a&&-1>b&&(c*=(b+90)/89)}else{if(a)throw"Invalid refraction option: "+a;c=0}return c}exports.Refraction=Refraction;function InverseRefraction(a,b){if(-90>b||90<b)return 0;for(var c=b-Refraction(a,b);;){var d=c+Refraction(a,c)-b;if(1E-14>Math.abs(d))return c-b;c-=d}}exports.InverseRefraction=InverseRefraction;
|
|
function RotateVector(a,b){return new Vector(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)}exports.RotateVector=RotateVector;
|
|
function RotateState(a,b){return new StateVector(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]*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)}exports.RotateState=RotateState;
|
|
function Rotation_EQJ_ECL(){return new RotationMatrix([[1,0,0],[0,.9174821430670688,-.3977769691083922],[0,.3977769691083922,.9174821430670688]])}exports.Rotation_EQJ_ECL=Rotation_EQJ_ECL;function Rotation_ECL_EQJ(){return new RotationMatrix([[1,0,0],[0,.9174821430670688,.3977769691083922],[0,-.3977769691083922,.9174821430670688]])}exports.Rotation_ECL_EQJ=Rotation_ECL_EQJ;
|
|
function Rotation_EQJ_EQD(a){a=MakeTime(a);var b=precession_rot(a,PrecessDirection.From2000);a=nutation_rot(a,PrecessDirection.From2000);return CombineRotation(b,a)}exports.Rotation_EQJ_EQD=Rotation_EQJ_EQD;function Rotation_EQJ_ECT(a){var b=MakeTime(a);a=Rotation_EQJ_EQD(b);b=Rotation_EQD_ECT(b);return CombineRotation(a,b)}exports.Rotation_EQJ_ECT=Rotation_EQJ_ECT;function Rotation_ECT_EQJ(a){var b=MakeTime(a);a=Rotation_ECT_EQD(b);b=Rotation_EQD_EQJ(b);return CombineRotation(a,b)}
|
|
exports.Rotation_ECT_EQJ=Rotation_ECT_EQJ;function Rotation_EQD_EQJ(a){a=MakeTime(a);var b=nutation_rot(a,PrecessDirection.Into2000);a=precession_rot(a,PrecessDirection.Into2000);return CombineRotation(b,a)}exports.Rotation_EQD_EQJ=Rotation_EQD_EQJ;
|
|
function Rotation_EQD_HOR(a,b){a=MakeTime(a);var c=Math.sin(b.latitude*exports.DEG2RAD),d=Math.cos(b.latitude*exports.DEG2RAD),e=Math.sin(b.longitude*exports.DEG2RAD),f=Math.cos(b.longitude*exports.DEG2RAD);b=[d*f,d*e,c];c=[-c*f,-c*e,d];e=[e,-f,0];a=-15*sidereal_time(a);b=spin(a,b);c=spin(a,c);a=spin(a,e);return new RotationMatrix([[c[0],a[0],b[0]],[c[1],a[1],b[1]],[c[2],a[2],b[2]]])}exports.Rotation_EQD_HOR=Rotation_EQD_HOR;
|
|
function Rotation_HOR_EQD(a,b){a=Rotation_EQD_HOR(a,b);return InverseRotation(a)}exports.Rotation_HOR_EQD=Rotation_HOR_EQD;function Rotation_HOR_EQJ(a,b){a=MakeTime(a);b=Rotation_HOR_EQD(a,b);a=Rotation_EQD_EQJ(a);return CombineRotation(b,a)}exports.Rotation_HOR_EQJ=Rotation_HOR_EQJ;function Rotation_EQJ_HOR(a,b){a=Rotation_HOR_EQJ(a,b);return InverseRotation(a)}exports.Rotation_EQJ_HOR=Rotation_EQJ_HOR;
|
|
function Rotation_EQD_ECL(a){a=Rotation_EQD_EQJ(a);var b=Rotation_EQJ_ECL();return CombineRotation(a,b)}exports.Rotation_EQD_ECL=Rotation_EQD_ECL;function Rotation_ECL_EQD(a){a=Rotation_EQD_ECL(a);return InverseRotation(a)}exports.Rotation_ECL_EQD=Rotation_ECL_EQD;function Rotation_ECL_HOR(a,b){a=MakeTime(a);var c=Rotation_ECL_EQD(a);a=Rotation_EQD_HOR(a,b);return CombineRotation(c,a)}exports.Rotation_ECL_HOR=Rotation_ECL_HOR;
|
|
function Rotation_HOR_ECL(a,b){a=Rotation_ECL_HOR(a,b);return InverseRotation(a)}exports.Rotation_HOR_ECL=Rotation_HOR_ECL;function Rotation_EQJ_GAL(){return new RotationMatrix([[-.0548624779711344,.4941095946388765,-.8676668813529025],[-.8734572784246782,-.4447938112296831,-.1980677870294097],[-.483800052994852,.7470034631630423,.4559861124470794]])}exports.Rotation_EQJ_GAL=Rotation_EQJ_GAL;
|
|
function Rotation_GAL_EQJ(){return new RotationMatrix([[-.0548624779711344,-.8734572784246782,-.483800052994852],[.4941095946388765,-.4447938112296831,.7470034631630423],[-.8676668813529025,-.1980677870294097,.4559861124470794]])}exports.Rotation_GAL_EQJ=Rotation_GAL_EQJ;function Rotation_ECT_EQD(a){var b=e_tilt(MakeTime(a)).tobl*exports.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new RotationMatrix([[1,0,0],[0,+a,+b],[0,-b,+a]])}exports.Rotation_ECT_EQD=Rotation_ECT_EQD;
|
|
function Rotation_EQD_ECT(a){var b=e_tilt(MakeTime(a)).tobl*exports.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new RotationMatrix([[1,0,0],[0,+a,-b],[0,+b,+a]])}exports.Rotation_EQD_ECT=Rotation_EQD_ECT;
|
|
var ConstelNames=[["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"],["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"],["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"],["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"]],ConstelBounds=[[83,0,8640,2112],[83,2880,5220,2076],[83,7560,8280,2068],[83,6480,7560,2064],[15,0,2880,2040],[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],[33,6120,6564,1212],[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],[58,6330,6360,-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],[63,0,660,-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]],ConstelRot,Epoch2000,ConstellationInfo=function(a,b,c,d){this.symbol=a;this.name=b;this.ra1875=c;this.dec1875=d};exports.ConstellationInfo=ConstellationInfo;
|
|
function Constellation(a,b){VerifyNumber(a);VerifyNumber(b);if(-90>b||90<b)throw"Invalid declination angle. Must be -90..+90.";a%=24;0>a&&(a+=24);ConstelRot||(ConstelRot=Rotation_EQJ_EQD(new AstroTime(-45655.74141261017)),Epoch2000=new AstroTime(0));a=new Spherical(b,15*a,1);a=VectorFromSphere(a,Epoch2000);a=RotateVector(ConstelRot,a);a=EquatorFromVector(a);b=10/240;for(var c=b/15,d=$jscomp.makeIterator(ConstelBounds),e=d.next();!e.done;e=d.next()){e=e.value;var f=e[1]*c,g=e[2]*c;if(e[3]*b<=a.dec&&
|
|
f<=a.ra&&a.ra<g)return b=ConstelNames[e[0]],new ConstellationInfo(b[0],b[1],a.ra,a.dec)}throw"Unable to find constellation for given coordinates.";}exports.Constellation=Constellation;var EclipseKind;(function(a){a.Penumbral="penumbral";a.Partial="partial";a.Annular="annular";a.Total="total"})(EclipseKind=exports.EclipseKind||(exports.EclipseKind={}));var LunarEclipseInfo=function(a,b,c,d,e,f){this.kind=a;this.obscuration=b;this.peak=c;this.sd_penum=d;this.sd_partial=e;this.sd_total=f};
|
|
exports.LunarEclipseInfo=LunarEclipseInfo;var ShadowInfo=function(a,b,c,d,e,f,g){this.time=a;this.u=b;this.r=c;this.k=d;this.p=e;this.target=f;this.dir=g};function CalcShadow(a,b,c,d){var e=(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 ShadowInfo(b,e,exports.KM_PER_AU*Math.hypot(e*d.x-c.x,e*d.y-c.y,e*d.z-c.z),+SUN_RADIUS_KM-(1+e)*(SUN_RADIUS_KM-a),-SUN_RADIUS_KM+(1+e)*(SUN_RADIUS_KM+a),c,d)}
|
|
function EarthShadow(a){var b=GeoVector(Body.Sun,a,!0);b=new Vector(-b.x,-b.y,-b.z,b.t);var c=GeoMoon(a);return CalcShadow(EARTH_ECLIPSE_RADIUS_KM,a,c,b)}function MoonShadow(a){var b=GeoVector(Body.Sun,a,!0),c=GeoMoon(a),d=new Vector(-c.x,-c.y,-c.z,c.t);c.x-=b.x;c.y-=b.y;c.z-=b.z;return CalcShadow(MOON_MEAN_RADIUS_KM,a,d,c)}
|
|
function LocalMoonShadow(a,b){var c=geo_pos(a,b);b=GeoVector(Body.Sun,a,!0);var d=GeoMoon(a);c=new Vector(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 CalcShadow(MOON_MEAN_RADIUS_KM,a,c,d)}function PlanetShadow(a,b,c){a=GeoVector(a,c,!0);var d=GeoVector(Body.Sun,c,!0),e=new Vector(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 CalcShadow(b,c,d,e)}function ShadowDistanceSlope(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 PlanetShadowSlope(a,b,c){var d=1/86400,e=PlanetShadow(a,b,c.AddDays(-d));return(PlanetShadow(a,b,c.AddDays(+d)).r-e.r)/d}function PeakEarthShadow(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=Search(function(c){return ShadowDistanceSlope(EarthShadow,c)},b,a);if(!b)throw"Failed to find peak Earth shadow time.";return EarthShadow(b)}
|
|
function PeakMoonShadow(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=Search(function(c){return ShadowDistanceSlope(MoonShadow,c)},b,a);if(!b)throw"Failed to find peak Moon shadow time.";return MoonShadow(b)}function PeakPlanetShadow(a,b,c){var d=c.AddDays(-1);c=c.AddDays(1);d=Search(function(e){return PlanetShadowSlope(a,b,e)},d,c);if(!d)throw"Failed to find peak planet shadow time.";return PlanetShadow(a,b,d)}
|
|
function PeakLocalMoonShadow(a,b){function c(f){return LocalMoonShadow(f,b)}var d=a.AddDays(-.2),e=a.AddDays(.2);d=Search(function(f){return ShadowDistanceSlope(c,f)},d,e);if(!d)throw"PeakLocalMoonShadow: search failure for search_center_time = "+a;return LocalMoonShadow(d,b)}
|
|
function ShadowSemiDurationMinutes(a,b,c){var d=c/1440;c=a.AddDays(-d);d=a.AddDays(+d);c=Search(function(e){return-(EarthShadow(e).r-b)},c,a);a=Search(function(e){return+(EarthShadow(e).r-b)},a,d);if(!c||!a)throw"Failed to find shadow semiduration";return 720*(a.ut-c.ut)}function MoonEclipticLatitudeDegrees(a){a=CalcMoon(a);return exports.RAD2DEG*a.geo_eclip_lat}
|
|
function Obscuration(a,b,c){if(0>=a)throw"Radius of first disc must be positive.";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),e=a*a-d*d;if(0>=e)return a<=b?1:b*b/(a*a);e=Math.sqrt(e);return(a*a*Math.acos(d/a)-d*e+(b*b*Math.acos((c-d)/b)-(c-d)*e))/(Math.PI*a*a)}
|
|
function SolarEclipseObscuration(a,b){var c=new Vector(a.x+b.x,a.y+b.y,a.z+b.z,a.t);a=Math.asin(SUN_RADIUS_AU/c.Length());var d=Math.asin(MOON_POLAR_RADIUS_AU/b.Length());b=AngleBetween(b,c);b=Obscuration(a,d,b*exports.DEG2RAD);return Math.min(.9999,b)}
|
|
function SearchLunarEclipse(a){a=MakeTime(a);for(var b=0;12>b;++b){var c=SearchMoonPhase(180,a,40);if(!c)throw"Cannot find full moon.";a=MoonEclipticLatitudeDegrees(c);if(1.8>Math.abs(a)&&(a=PeakEarthShadow(c),a.r<a.p+MOON_MEAN_RADIUS_KM)){b=EclipseKind.Penumbral;var d=c=0,e=0,f=ShadowSemiDurationMinutes(a.time,a.p+MOON_MEAN_RADIUS_KM,200);a.r<a.k+MOON_MEAN_RADIUS_KM&&(b=EclipseKind.Partial,e=ShadowSemiDurationMinutes(a.time,a.k+MOON_MEAN_RADIUS_KM,f),a.r+MOON_MEAN_RADIUS_KM<a.k?(b=EclipseKind.Total,
|
|
c=1,d=ShadowSemiDurationMinutes(a.time,a.k-MOON_MEAN_RADIUS_KM,e)):c=Obscuration(MOON_MEAN_RADIUS_KM,a.k,a.r));return new LunarEclipseInfo(b,c,a.time,f,e,d)}a=c.AddDays(10)}throw"Failed to find lunar eclipse within 12 full moons.";}exports.SearchLunarEclipse=SearchLunarEclipse;var GlobalSolarEclipseInfo=function(a,b,c,d,e,f){this.kind=a;this.obscuration=b;this.peak=c;this.distance=d;this.latitude=e;this.longitude=f};exports.GlobalSolarEclipseInfo=GlobalSolarEclipseInfo;
|
|
function EclipseKindFromUmbra(a){return.014<a?EclipseKind.Total:EclipseKind.Annular}
|
|
function GeoidIntersect(a){var b=EclipseKind.Partial,c=a.time,d=a.r,e=Rotation_EQJ_EQD(a.time),f=RotateVector(e,a.dir),g=RotateVector(e,a.target);f.x*=exports.KM_PER_AU;f.y*=exports.KM_PER_AU;f.z*=exports.KM_PER_AU/EARTH_FLATTENING;g.x*=exports.KM_PER_AU;g.y*=exports.KM_PER_AU;g.z*=exports.KM_PER_AU/EARTH_FLATTENING;var k=EARTH_EQUATORIAL_RADIUS_KM,h=f.x*f.x+f.y*f.y+f.z*f.z,l=-2*(f.x*g.x+f.y*g.y+f.z*g.z);k=l*l-4*h*(g.x*g.x+g.y*g.y+g.z*g.z-k*k);if(0<k){var m=(-l-Math.sqrt(k))/(2*h);b=m*f.x-g.x;h=m*
|
|
f.y-g.y;f=(m*f.z-g.z)*EARTH_FLATTENING;m=Math.hypot(b,h)*EARTH_FLATTENING_SQUARED;m=0==m?0<f?90:-90:exports.RAD2DEG*Math.atan(f/m);var n=sidereal_time(c);n=(exports.RAD2DEG*Math.atan2(h,b)-15*n)%360;-180>=n?n+=360:180<n&&(n-=360);e=InverseRotation(e);f=new Vector(b/exports.KM_PER_AU,h/exports.KM_PER_AU,f/exports.KM_PER_AU,a.time);f=RotateVector(e,f);f.x+=a.target.x;f.y+=a.target.y;f.z+=a.target.z;e=CalcShadow(MOON_POLAR_RADIUS_KM,a.time,f,a.dir);if(1E-9<e.r||0>e.r)throw"Unexpected shadow distance from geoid intersection = "+
|
|
e.r;b=EclipseKindFromUmbra(e.k);a=b===EclipseKind.Total?1:SolarEclipseObscuration(a.dir,f)}else a=void 0;return new GlobalSolarEclipseInfo(b,a,c,d,m,n)}function NextLunarEclipse(a){a=MakeTime(a);a=a.AddDays(10);return SearchLunarEclipse(a)}exports.NextLunarEclipse=NextLunarEclipse;
|
|
function SearchGlobalSolarEclipse(a){var b=a=MakeTime(a);for(a=0;12>a;++a){b=SearchMoonPhase(0,b,40);if(!b)throw"Cannot find new moon";var c=MoonEclipticLatitudeDegrees(b);if(1.8>Math.abs(c)&&(c=PeakMoonShadow(b),c.r<c.p+EARTH_MEAN_RADIUS_KM))return GeoidIntersect(c);b=b.AddDays(10)}throw"Failed to find solar eclipse within 12 full moons.";}exports.SearchGlobalSolarEclipse=SearchGlobalSolarEclipse;
|
|
function NextGlobalSolarEclipse(a){a=MakeTime(a);a=a.AddDays(10);return SearchGlobalSolarEclipse(a)}exports.NextGlobalSolarEclipse=NextGlobalSolarEclipse;var EclipseEvent=function(a,b){this.time=a;this.altitude=b};exports.EclipseEvent=EclipseEvent;var LocalSolarEclipseInfo=function(a,b,c,d,e,f,g){this.kind=a;this.obscuration=b;this.partial_begin=c;this.total_begin=d;this.peak=e;this.total_end=f;this.partial_end=g};exports.LocalSolarEclipseInfo=LocalSolarEclipseInfo;
|
|
function local_partial_distance(a){return a.p-a.r}function local_total_distance(a){return Math.abs(a.k)-a.r}
|
|
function LocalEclipse(a,b){var c=CalcEvent(b,a.time),d=a.time.AddDays(-.2),e=a.time.AddDays(.2),f=LocalEclipseTransition(b,1,local_partial_distance,d,a.time),g=LocalEclipseTransition(b,-1,local_partial_distance,a.time,e);if(a.r<Math.abs(a.k)){d=a.time.AddDays(-.01);e=a.time.AddDays(.01);var k=LocalEclipseTransition(b,1,local_total_distance,d,a.time);var h=LocalEclipseTransition(b,-1,local_total_distance,a.time,e);b=EclipseKindFromUmbra(a.k)}else b=EclipseKind.Partial;a=b===EclipseKind.Total?1:SolarEclipseObscuration(a.dir,
|
|
a.target);return new LocalSolarEclipseInfo(b,a,f,k,c,h,g)}function LocalEclipseTransition(a,b,c,d,e){d=Search(function(f){f=LocalMoonShadow(f,a);return b*c(f)},d,e);if(!d)throw"Local eclipse transition search failed.";return CalcEvent(a,d)}function CalcEvent(a,b){a=SunAltitude(b,a);return new EclipseEvent(b,a)}function SunAltitude(a,b){var c=Equator(Body.Sun,a,b,!0,!0);return Horizon(a,b,c.ra,c.dec,"normal").altitude}
|
|
function SearchLocalSolarEclipse(a,b){a=MakeTime(a);for(VerifyObserver(b);;){a=SearchMoonPhase(0,a,40);if(!a)throw"Cannot find next new moon";var c=MoonEclipticLatitudeDegrees(a);if(1.8>Math.abs(c)&&(c=PeakLocalMoonShadow(a,b),c.r<c.p&&(c=LocalEclipse(c,b),0<c.partial_begin.altitude||0<c.partial_end.altitude)))return c;a=a.AddDays(10)}}exports.SearchLocalSolarEclipse=SearchLocalSolarEclipse;function NextLocalSolarEclipse(a,b){a=MakeTime(a);a=a.AddDays(10);return SearchLocalSolarEclipse(a,b)}
|
|
exports.NextLocalSolarEclipse=NextLocalSolarEclipse;var TransitInfo=function(a,b,c,d){this.start=a;this.peak=b;this.finish=c;this.separation=d};exports.TransitInfo=TransitInfo;function PlanetShadowBoundary(a,b,c,d){a=PlanetShadow(b,c,a);return d*(a.r-a.p)}function PlanetTransitBoundary(a,b,c,d,e){c=Search(function(f){return PlanetShadowBoundary(f,a,b,e)},c,d);if(!c)throw"Planet transit boundary search failed";return c}
|
|
function SearchTransit(a,b){b=MakeTime(b);switch(a){case Body.Mercury:var c=2439.7;break;case Body.Venus:c=6051.8;break;default:throw"Invalid body: "+a;}for(;;){var d=SearchRelativeLongitude(a,0,b);if(.4>AngleFromSun(a,d)&&(b=PeakPlanetShadow(a,c,d),b.r<b.p)){d=b.time.AddDays(-1);d=PlanetTransitBoundary(a,c,d,b.time,-1);var e=b.time.AddDays(1);c=PlanetTransitBoundary(a,c,b.time,e,1);a=60*AngleFromSun(a,b.time);return new TransitInfo(d,b.time,c,a)}b=d.AddDays(10)}}exports.SearchTransit=SearchTransit;
|
|
function NextTransit(a,b){b=MakeTime(b);b=b.AddDays(100);return SearchTransit(a,b)}exports.NextTransit=NextTransit;var NodeEventKind;(function(a){a[a.Invalid=0]="Invalid";a[a.Ascending=1]="Ascending";a[a.Descending=-1]="Descending"})(NodeEventKind=exports.NodeEventKind||(exports.NodeEventKind={}));var NodeEventInfo=function(a,b){this.kind=a;this.time=b};exports.NodeEventInfo=NodeEventInfo;var MoonNodeStepDays=10;
|
|
function SearchMoonNode(a){var b=MakeTime(a),c=EclipticGeoMoon(b);for(a={};;a={$jscomp$loop$prop$kind$33:a.$jscomp$loop$prop$kind$33}){var d=b.AddDays(MoonNodeStepDays),e=EclipticGeoMoon(d);if(0>=c.lat*e.lat){a.$jscomp$loop$prop$kind$33=e.lat>c.lat?NodeEventKind.Ascending:NodeEventKind.Descending;b=Search(function(f){return function(g){return f.$jscomp$loop$prop$kind$33*EclipticGeoMoon(g).lat}}(a),b,d);if(!b)throw"Could not find moon node.";return new NodeEventInfo(a.$jscomp$loop$prop$kind$33,b)}b=
|
|
d;c=e}}exports.SearchMoonNode=SearchMoonNode;
|
|
function NextMoonNode(a){var b=a.time.AddDays(MoonNodeStepDays);b=SearchMoonNode(b);switch(a.kind){case NodeEventKind.Ascending:if(b.kind!==NodeEventKind.Descending)throw"Internal error: previous node was ascending, but this node was: "+b.kind;break;case NodeEventKind.Descending:if(b.kind!==NodeEventKind.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}exports.NextMoonNode=NextMoonNode;
|
|
var AxisInfo=function(a,b,c,d){this.ra=a;this.dec=b;this.spin=c;this.north=d};exports.AxisInfo=AxisInfo;function EarthRotationAxis(a){var b=nutation([0,0,1],a,PrecessDirection.Into2000);b=precession(b,a,PrecessDirection.Into2000);b=new Vector(b[0],b[1],b[2],a);var c=EquatorFromVector(b);return new AxisInfo(c.ra,c.dec,190.41375788700253+360.9856122880876*a.ut,b)}
|
|
function RotationAxis(a,b){b=MakeTime(b);var c=b.tt,d=c/36525;switch(a){case Body.Sun:a=286.13;var e=63.87;c=84.176+14.1844*c;break;case Body.Mercury:a=281.0103-.0328*d;e=61.4155-.0049*d;c=329.5988+6.1385108*c+.01067257*Math.sin(exports.DEG2RAD*(174.7910857+4.092335*c))-.00112309*Math.sin(exports.DEG2RAD*(349.5821714+8.18467*c))-1.104E-4*Math.sin(exports.DEG2RAD*(164.3732571+12.277005*c))-2.539E-5*Math.sin(exports.DEG2RAD*(339.1643429+16.36934*c))-5.71E-6*Math.sin(exports.DEG2RAD*(153.9554286+20.461675*
|
|
c));break;case Body.Venus:a=272.76;e=67.16;c=160.2-1.4813688*c;break;case Body.Earth:return EarthRotationAxis(b);case Body.Moon:var f=exports.DEG2RAD*(125.045-.0529921*c),g=exports.DEG2RAD*(250.089-.1059842*c),k=exports.DEG2RAD*(260.008+13.0120009*c),h=exports.DEG2RAD*(176.625+13.3407154*c),l=exports.DEG2RAD*(357.529+.9856003*c),m=exports.DEG2RAD*(311.589+26.4057084*c),n=exports.DEG2RAD*(134.963+13.064993*c),p=exports.DEG2RAD*(276.617+.3287146*c),q=exports.DEG2RAD*(34.226+1.7484877*c),r=exports.DEG2RAD*
|
|
(15.134-.1589763*c),t=exports.DEG2RAD*(119.743+.0036096*c),H=exports.DEG2RAD*(239.961+.1643573*c),F=exports.DEG2RAD*(25.053+12.9590088*c);a=269.9949+.0031*d-3.8787*Math.sin(f)-.1204*Math.sin(g)+.07*Math.sin(k)-.0172*Math.sin(h)+.0072*Math.sin(m)-.0052*Math.sin(r)+.0043*Math.sin(F);e=66.5392+.013*d+1.5419*Math.cos(f)+.0239*Math.cos(g)-.0278*Math.cos(k)+.0068*Math.cos(h)-.0029*Math.cos(m)+9E-4*Math.cos(n)+8E-4*Math.cos(r)-9E-4*Math.cos(F);c=38.3213+(13.17635815-1.4E-12*c)*c+3.561*Math.sin(f)+.1208*
|
|
Math.sin(g)-.0642*Math.sin(k)+.0158*Math.sin(h)+.0252*Math.sin(l)-.0066*Math.sin(m)-.0047*Math.sin(n)-.0046*Math.sin(p)+.0028*Math.sin(q)+.0052*Math.sin(r)+.004*Math.sin(t)+.0019*Math.sin(H)-.0044*Math.sin(F);break;case Body.Mars:a=317.269202-.10927547*d+6.8E-5*Math.sin(exports.DEG2RAD*(198.991226+19139.4819985*d))+2.38E-4*Math.sin(exports.DEG2RAD*(226.292679+38280.8511281*d))+5.2E-5*Math.sin(exports.DEG2RAD*(249.663391+57420.7251593*d))+9E-6*Math.sin(exports.DEG2RAD*(266.18351+76560.636795*d))+.419057*
|
|
Math.sin(exports.DEG2RAD*(79.398797+.5042615*d));e=54.432516-.05827105*d+5.1E-5*Math.cos(exports.DEG2RAD*(122.433576+19139.9407476*d))+1.41E-4*Math.cos(exports.DEG2RAD*(43.058401+38280.8753272*d))+3.1E-5*Math.cos(exports.DEG2RAD*(57.663379+57420.7517205*d))+5E-6*Math.cos(exports.DEG2RAD*(79.476401+76560.6495004*d))+1.591274*Math.cos(exports.DEG2RAD*(166.325722+.5042615*d));c=176.049863+350.891982443297*c+1.45E-4*Math.sin(exports.DEG2RAD*(129.071773+19140.0328244*d))+1.57E-4*Math.sin(exports.DEG2RAD*
|
|
(36.352167+38281.0473591*d))+4E-5*Math.sin(exports.DEG2RAD*(56.668646+57420.929536*d))+1E-6*Math.sin(exports.DEG2RAD*(67.364003+76560.2552215*d))+1E-6*Math.sin(exports.DEG2RAD*(104.79268+95700.4387578*d))+.584542*Math.sin(exports.DEG2RAD*(95.391654+.5042615*d));break;case Body.Jupiter:e=exports.DEG2RAD*(99.360714+4850.4046*d);f=exports.DEG2RAD*(175.895369+1191.9605*d);g=exports.DEG2RAD*(300.323162+262.5475*d);k=exports.DEG2RAD*(114.012305+6070.2476*d);h=exports.DEG2RAD*(49.511251+64.3*d);a=268.056595-
|
|
.006499*d+1.17E-4*Math.sin(e)+9.38E-4*Math.sin(f)+.001432*Math.sin(g)+3E-5*Math.sin(k)+.00215*Math.sin(h);e=64.495303+.002413*d+5E-5*Math.cos(e)+4.04E-4*Math.cos(f)+6.17E-4*Math.cos(g)-1.3E-5*Math.cos(k)+9.26E-4*Math.cos(h);c=284.95+870.536*c;break;case Body.Saturn:a=40.589-.036*d;e=83.537-.004*d;c=38.9+810.7939024*c;break;case Body.Uranus:a=257.311;e=-15.175;c=203.81-501.1600928*c;break;case Body.Neptune:d=exports.DEG2RAD*(357.85+52.316*d);a=299.36+.7*Math.sin(d);e=43.46-.51*Math.cos(d);c=249.978+
|
|
541.1397757*c-.48*Math.sin(d);break;case Body.Pluto:a=132.993;e=-6.163;c=302.695+56.3625225*c;break;default:throw"Invalid body: "+a;}d=e*exports.DEG2RAD;f=a*exports.DEG2RAD;g=Math.cos(d);b=new Vector(g*Math.cos(f),g*Math.sin(f),Math.sin(d),b);return new AxisInfo(a/15,e,c,b)}exports.RotationAxis=RotationAxis;
|
|
function LagrangePoint(a,b,c,d){var e=MakeTime(b);b=MassProduct(c);var f=MassProduct(d);c===Body.Earth&&d===Body.Moon?(c=new StateVector(0,0,0,0,0,0,e),d=GeoMoonState(e)):(c=HelioState(c,e),d=HelioState(d,e));return LagrangePointFast(a,c,b,d,f)}exports.LagrangePoint=LagrangePoint;
|
|
function LagrangePointFast(a,b,c,d,e){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(e)||0>=e)throw"Minor mass must be a negative number.";var f=d.x-b.x,g=d.y-b.y,k=d.z-b.z,h=f*f+g*g+k*k,l=Math.sqrt(h),m=d.vx-b.vx,n=d.vy-b.vy;d=d.vz-b.vz;if(4===a||5===a){h=g*d-k*n;c=k*m-f*d;var p=f*n-g*m,q=c*k-p*g;p=p*f-h*k;h=h*g-c*f;c=Math.sqrt(q*q+p*p+h*h);q/=c;p/=c;h/=c;f/=l;g/=l;k/=l;a=4==a?.8660254037844386:-.8660254037844386;
|
|
c=.5*f+a*q;e=.5*g+a*p;var r=.5*k+a*h,t=m*f+n*g+d*k;m=m*q+n*p+d*h;b=new StateVector(l*c,l*e,l*r,t*c+m*(.5*q-a*f),t*e+m*(.5*p-a*g),t*r+m*(.5*h-a*k),b.t)}else{q=e/(c+e)*-l;p=c/(c+e)*+l;h=(c+e)/(h*l);if(1===a||2===a)r=c/(c+e)*Math.cbrt(e/(3*c)),c=-c,1==a?(r=1-r,a=+e):(r=1+r,a=-e);else if(3===a)r=(7/12*e-c)/(e+c),c=+c,a=+e;else throw"Invalid Langrage point "+a+". Must be an integer 1..5.";e=l*r-q;do r=e-q,t=e-p,r=(h*e+c/(r*r)+a/(t*t))/(h-2*c/(r*r*r)-2*a/(t*t*t)),e-=r;while(1E-14<Math.abs(r/l));r=(e-q)/
|
|
l;b=new StateVector(r*f,r*g,r*k,r*m,r*n,r*d,b.t)}return b}exports.LagrangePointFast=LagrangePointFast;
|
|
var GravitySimulator=function(a,b,c){b=MakeTime(b);this.originBody=a;for(var d=$jscomp.makeIterator(c),e=d.next();!e.done;e=d.next())if(e.value.t.tt!==b.tt)throw"Inconsistent times in bodyStates";d=[];e=GravitySimulator.CalcSolarSystem(b);this.curr=new GravSimEndpoint(b,e,d);a=this.InternalBodyState(a);c=$jscomp.makeIterator(c);for(e=c.next();!e.done;e=c.next()){var f=e.value;e=new TerseVector(f.x+a.r.x,f.y+a.r.y,f.z+a.r.z);f=new TerseVector(f.vx+a.v.x,f.vy+a.v.y,f.vz+a.v.z);var g=TerseVector.zero();
|
|
d.push(new body_grav_calc_t(b.tt,e,f,g))}this.CalcBodyAccelerations();this.prev=this.Duplicate()};
|
|
GravitySimulator.prototype.Update=function(a){a=MakeTime(a);var b=a.tt-this.curr.time.tt;if(0===b)this.prev=this.Duplicate();else{this.Swap();this.curr.time=a;this.curr.gravitators=GravitySimulator.CalcSolarSystem(a);for(var c=0;c<this.curr.bodies.length;++c){var d=this.prev.bodies[c];this.curr.bodies[c].r=UpdatePosition(b,d.r,d.v,d.a)}this.CalcBodyAccelerations();for(c=0;c<this.curr.bodies.length;++c){d=this.prev.bodies[c];var e=this.curr.bodies[c],f=d.a.mean(e.a);e.tt=a.tt;e.r=UpdatePosition(b,
|
|
d.r,d.v,f);e.v=UpdateVelocity(b,d.v,f)}this.CalcBodyAccelerations()}b=[];c=this.InternalBodyState(this.originBody);d=$jscomp.makeIterator(this.curr.bodies);for(e=d.next();!e.done;e=d.next())e=e.value,b.push(new StateVector(e.r.x-c.r.x,e.r.y-c.r.y,e.r.z-c.r.z,e.v.x-c.v.x,e.v.y-c.v.y,e.v.z-c.v.z,a));return b};GravitySimulator.prototype.Swap=function(){var a=this.curr;this.curr=this.prev;this.prev=a};
|
|
GravitySimulator.prototype.SolarSystemBodyState=function(a){a=this.InternalBodyState(a);var b=this.InternalBodyState(this.originBody);return ExportState(a.sub(b),this.curr.time)};GravitySimulator.prototype.InternalBodyState=function(a){if(a===Body.SSB)return new body_state_t(this.curr.time.tt,TerseVector.zero(),TerseVector.zero());var b=this.curr.gravitators[a];if(b)return b;throw"Invalid body: "+a;};
|
|
GravitySimulator.CalcSolarSystem=function(a){var b={},c=new body_state_t(a.tt,TerseVector.zero(),TerseVector.zero());b[Body.Mercury]=AdjustBarycenterPosVel(c,a.tt,Body.Mercury,MERCURY_GM);b[Body.Venus]=AdjustBarycenterPosVel(c,a.tt,Body.Venus,VENUS_GM);b[Body.Earth]=AdjustBarycenterPosVel(c,a.tt,Body.Earth,EARTH_GM+MOON_GM);b[Body.Mars]=AdjustBarycenterPosVel(c,a.tt,Body.Mars,MARS_GM);b[Body.Jupiter]=AdjustBarycenterPosVel(c,a.tt,Body.Jupiter,JUPITER_GM);b[Body.Saturn]=AdjustBarycenterPosVel(c,a.tt,
|
|
Body.Saturn,SATURN_GM);b[Body.Uranus]=AdjustBarycenterPosVel(c,a.tt,Body.Uranus,URANUS_GM);b[Body.Neptune]=AdjustBarycenterPosVel(c,a.tt,Body.Neptune,NEPTUNE_GM);for(var d in b)b[d].r.decr(c.r),b[d].v.decr(c.v);b[Body.Sun]=new body_state_t(a.tt,c.r.neg(),c.v.neg());return b};
|
|
GravitySimulator.prototype.CalcBodyAccelerations=function(){for(var a=$jscomp.makeIterator(this.curr.bodies),b=a.next();!b.done;b=a.next())b=b.value,b.a=TerseVector.zero(),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Sun].r,SUN_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Mercury].r,MERCURY_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Venus].r,VENUS_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Earth].r,
|
|
EARTH_GM+MOON_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Mars].r,MARS_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Jupiter].r,JUPITER_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Saturn].r,SATURN_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Uranus].r,URANUS_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Neptune].r,NEPTUNE_GM)};
|
|
GravitySimulator.AddAcceleration=function(a,b,c,d){var e=c.x-b.x,f=c.y-b.y;b=c.z-b.z;c=e*e+f*f+b*b;d/=c*Math.sqrt(c);a.x+=e*d;a.y+=f*d;a.z+=b*d};GravitySimulator.prototype.Duplicate=function(){var a={};for(b in this.curr.gravitators)a[b]=this.curr.gravitators[b].clone();var b=[];for(var c=$jscomp.makeIterator(this.curr.bodies),d=c.next();!d.done;d=c.next())b.push(d.value.clone());return new GravSimEndpoint(this.curr.time,a,b)};
|
|
$jscomp.global.Object.defineProperties(GravitySimulator.prototype,{OriginBody:{configurable:!0,enumerable:!0,get:function(){return this.originBody}},Time:{configurable:!0,enumerable:!0,get:function(){return this.curr.time}}});exports.GravitySimulator=GravitySimulator;var GravSimEndpoint=function(a,b,c){this.time=a;this.gravitators=b;this.bodies=c};
|