Capturing some FORTRAN code for Jupiter's moons from ftp.imcce.fr.

I found some FORTRAN code for calculating the positions of Jupiter's
moons. I recorded its origin in README.md. I'm going to experiment
with using it as a basis for doing these calculations in Astronomy Engine.
This commit is contained in:
Don Cross
2021-04-05 14:50:49 -04:00
parent 6b0a966fe7
commit efc2f0d8cf
7 changed files with 2040 additions and 0 deletions

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3 0.594965634346142D-04 -0.173800453537518D-08 -0.535142525086474D-08 -0.368431020234090D-08 0.651758518535435D-08
4 -0.110076009434021D-04 -0.302381800276162D-08 0.102942385189608D-09 0.777164290527916D-09 0.262070675646012D-08
5 -0.575048718532862D-05 -0.721047445746571D-08 -0.849040607452073D-08 0.159932283427177D-08 0.259238370832140D-08
6 0.574994024502453D-05 -0.392259073275152D-09 -0.252840670456370D-08 -0.228491296590504D-08 -0.726318061740534D-09
7 0.178506935927118D-05 -0.416879673796892D-08 -0.613405545173217D-08 0.703033944342130D-09 -0.118191642174809D-08
8 -0.240677412003469D-05 -0.329083173926104D-08 -0.343800069555589D-08 -0.289289190860300D-10 0.590816038543625D-09
9 -0.138513209122323D-05 0.288537255009037D-08 -0.359984191898440D-08 0.486451562749639D-09 0.123053999757825D-08
1 -0.234691437046728D-03 -0.100355398526925D-05 -0.261024960215820D-06 -0.274704767394256D-05 -0.298415696654187D-05
2 0.259036121717763D-04 -0.580438343691240D-07 -0.182656275716032D-06 -0.154365304913777D-05 -0.119708851225481D-05
3 -0.173835841495123D-03 0.380875695145265D-07 0.278016374834476D-07 -0.349546762061882D-07 0.567146658521585D-07
4 0.380673357683932D-04 -0.210657418625019D-06 -0.158858363289506D-06 0.286789414864130D-08 0.268814727457189D-07
5 -0.103485888270120D-06 0.312238251072476D-06 0.231850746815330D-07 0.175452766852069D-07 0.261897719058852D-07
6 0.117376776995138D-04 -0.172444072203130D-06 -0.110691155968765D-06 -0.197744662243578D-07 -0.511649608698392D-08
7 0.319509608989603D-05 0.235985832098386D-06 -0.369048459423356D-07 0.343169676541053D-08 -0.127841777400320D-07
8 -0.483167496026174D-05 0.613727340553035D-07 0.678631069587260D-08 -0.130924950693160D-09 0.119534263567129D-07
9 0.447094431509368D-06 -0.158131098756712D-06 0.190777145516695D-07 0.135338072425105D-07 0.115749543781328D-07
1 -0.402499890223698D-03 -0.111797459279082D-06 -0.107044201697345D-06 -0.141968295962213D-04 -0.153976109321613D-04
2 0.422870514937427D-04 -0.278967292638245D-06 -0.223668695371038D-06 -0.793995493982020D-05 -0.612022141299496D-05
3 -0.288258753042082D-03 -0.704645336679784D-07 -0.218527598721759D-06 -0.208882224662785D-06 0.315217558237908D-06
4 0.623338370193608D-04 -0.238693040681653D-06 -0.200040954734845D-06 0.209762683478441D-07 0.148179418616661D-06
5 0.178692873660163D-05 0.122869992713930D-07 -0.319586844323525D-06 0.835070484335148D-07 0.141150094231365D-06
6 0.144147643545141D-04 -0.153370399783488D-06 -0.222086683443490D-06 -0.107729670354460D-06 -0.224063936978287D-07
7 0.658944353306297D-05 0.447318789843126D-07 -0.298609138042077D-06 0.306301230195125D-07 -0.333311708439601D-07
8 -0.619139500170464D-05 -0.165802124252890D-07 -0.129217448782639D-06 0.112449433356374D-07 0.107863442857316D-07
9 0.782954615405540D-06 -0.828946056921499D-07 -0.150654590880644D-06 0.708786417409988D-08 0.662499119729457D-07
1 0.306204347064615D-03 -0.181310025984216D-06 -0.140782617429892D-05 -0.640936655172450D-04 -0.696069435911693D-04
2 -0.168321429486551D-03 -0.126014618556329D-05 -0.135394137498700D-05 -0.357948862513955D-04 -0.276636397672750D-04
3 0.202182016979082D-03 -0.382306332383069D-06 -0.320084097458594D-06 -0.887261624128964D-06 0.138328020437413D-05
4 -0.137641833741129D-03 -0.667102945644653D-06 -0.620618627039507D-06 0.164506004407617D-06 0.651631405812798D-06
5 -0.530404402536766D-04 -0.505214970641581D-07 -0.611742588608485D-06 0.477415826267116D-06 0.620307849865976D-06
6 -0.110474926063654D-04 0.153918794369926D-06 -0.276537195728238D-06 -0.359030239515192D-06 -0.266081185506962D-06
7 -0.105634674903822D-04 0.928279781805284D-07 -0.133810977431205D-06 0.117406290303369D-06 -0.209003718083271D-06
8 0.311526543050599D-04 0.366048038576706D-06 0.289677483700145D-06 0.895051737231057D-07 -0.146372661194868D-06
9 0.466495863544146D-05 0.568038769950531D-07 0.470713328715423D-07 0.971875658565188D-08 -0.122390974721364D-06

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Series for ephemerides of Galilean satellites from L1.2
2433282.5d0 = T0 and fundamental arguments [ = phase (rd) + frequency (rd/d) x (T-T0)] :
1 0.144621329602122D+01 0.355155228618240D+01 L1 mean longitudes
2 -0.373526343747136D+00 0.176932271112347D+01 L2
3 0.287408939114335D+00 0.878207923589328D+00 L3
4 -0.362034129137570D+00 0.376486233433828D+00 L4
5 0.441372126933000D+00 0.266425335477000D-02 p1 pericenters
6 0.274351682921600D+01 0.677973430090000D-03 p2
7 0.212562959429600D+01 0.127274130290000D-03 p3
8 0.558360715769300D+01 0.320650991400000D-04 p4
9 0.279642197226200D+01 -0.231509609800000D-02 n1 nodes
10 0.104770631700200D+01 -0.569206405400000D-03 n2
11 0.333688627964400D+01 -0.124913070580000D-03 n3
12 0.597217367735500D+01 -0.305612552500000D-04 n4
13 0.190798695696300D+01 0.305010121287000D-02 psi (= laplacian libration)
14 -0.408993963561700D+01 0.129068641466600D-01 nu (close to L1-2L2 = L2-2L3+pi)
15 0.339646572130600D+01 -0.779863268812000D-03 rho (= 3L3-7L4)
16 0.241339207100000D+01 0.000000000000000D+00 n0
17 0.556067199647900D+01 0.145018374908000D-02 Ls
masses [G x (Jupiter + satellite)], (AU^3/day^2)
0.2824894284338140D-06 0.2824832743928930D-06 0.2824981841847230D-06 0.2824921448899090D-06
rotations from jovian equatorial coordinates to Earth mean equinox and equator J2000 : angles Psi and I (rd)
0.6249501830657150D+01 0.4450947364976650D+00
amplitude (AU or rd) phase (rd) frequency (rd/d) (km) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Dfrq(rd/d) Dphas(rd)
sat 1 var a :
38 terms
1 0.0028210960212903 0.00000000000000D+00 0.00000000000000D+00 422029.956 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000D+00 0.000D+00
2 0.0000000762024588 0.36392902322306D+01 0.35644591656241D+01 11.400 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155D-07 0.189D-03
3 0.0000000180900324 0.99554707056522D+00 0.71289183312483D+01 2.706 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.310D-07 0.226D-03
4 0.0000000172337652 0.18196487820921D+01 0.17822295777568D+01 2.578 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.270D-08 0.909D-04
5 0.0000000101726080 0.28150559763861D+01 0.89111478635073D+01 1.522 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118D-07 0.457D-03
6 0.0000000094794086 0.34760224933239D+01 0.80200331112799D+01 1.418 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235D-07 0.391D-03
7 0.0000000092196266 0.46347004953370D+01 0.10693377436209D+02 1.379 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142D-07 0.517D-03
8 0.0000000058581604 0.11586746335276D+01 0.26733443704266D+01 0.876 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.783D-08 0.130D-03
9 -0.0000000036218148 0.23173675289588D+01 0.53466887181044D+01 -0.542 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708D-08 0.241D-03
10 0.0000000034892754 0.17122470613669D+00 0.12475607079684D+02 0.522 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.543D-07 0.582D-03
11 0.0000000030842852 0.36170311370435D+01 0.63501320826717D+01 0.461 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228D-07 -0.536D-03
12 0.0000000020794650 0.19906655633153D+01 0.14257836656755D+02 0.311 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.563D-07 0.881D-03
13 0.0000000013655244 0.49369712857369D+01 0.13584836518140D-01 0.204 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0.106D-08 -0.209D-03
14 0.0000000011682572 0.57934065580556D+01 0.13366721796637D+02 0.175 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163D-07 0.615D-03
15 -0.0000000008031976 0.66879731833041D+00 0.16040066232595D+02 -0.120 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.570D-07 0.844D-03
16 0.0000000007309510 0.56300556878949D+01 0.17822295806244D+02 0.109 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.557D-07 0.970D-03
17 0.0000000007014118 0.43297377080515D+01 0.71002044886497D+01 0.105 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.284D-06 0.772D-02
18 0.0000000006561624 0.43188797534991D+01 0.13034138433510D-01 0.098 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 -0.157D-09 -0.449D-05
19 0.0000000005753088 0.54252179509841D+01 0.95251981240076D+01 0.086 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342D-07 -0.476D-03
20 0.0000000004359548 0.11670110887440D+01 0.19604525331797D+02 0.065 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.615D-08 0.569D-03
21 0.0000000003711992 0.14936154077537D+01 0.12938928912340D-01 0.056 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0.333D-09 0.521D-04
22 -0.0000000003412576 0.26346374300664D+01 0.15571117257960D-01 -0.051 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0.243D-09 -0.196D-04
23 0.0000000003432980 0.17994723387341D+01 0.31750663461810D+01 0.051 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.293D-06 0.878D-02
24 0.0000000003228344 0.29861854159944D+01 0.21386754933987D+02 0.048 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.332D-07 0.106D-02
25 0.0000000003014418 0.19871924348983D+00 0.24675315510310D-01 0.045 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 -0.278D-10 -0.574D-06
26 0.0000000001707670 0.50718778620273D+01 0.35514255456604D+01 0.026 1 0 0 0 0 0 0 -1 0 0 1 -1 0 0 0 0 0 0.324D-06 0.999D+03
27 0.0000000001655832 0.29783205832994D+01 0.44555739317536D+01 0.025 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592D-08 0.188D-03
28 0.0000000001612910 0.48058392680935D+01 0.23168984521460D+02 0.024 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.457D-07 0.122D-02
29 0.0000000001527992 0.18275651107267D+01 0.18713410599600D+02 0.023 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.614D-07 0.880D-03
30 0.0000000001523312 0.46323297275220D+01 0.44686092108182D+01 0.023 2 0 -3 0 0 0 2 -1 0 0 1 -1 0 0 0 0 0 -0.278D-06 0.999D+03
31 0.0000000001449720 0.19079860214667D+01 0.30506511533200D-02 0.022 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -0.550D-06 0.935D-06
32 0.0000000001188688 0.53321680658912D+01 0.70987549449082D+01 0.018 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
33 0.0000000001129258 0.95031497804420D+00 0.12700264165343D+02 0.017 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457D-07 -0.511D-03
34 0.0000000000986086 0.34190944178580D+00 0.24951214111224D+02 0.015 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.604D-07 0.170D-02
35 -0.0000000000877720 0.36228267942948D+01 0.17958145576535D+01 -0.013 1 0 -2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -0.145D-06 -0.791D-02
36 0.0000000000857194 0.33682834215727D+01 0.59736711266730D+01 0.013 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
37 -0.0000000000545492 0.19473964103154D+01 0.22929425718040D-01 -0.008 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0.719D-10 0.379D-04
38 0.0000000000326102 0.24880420823571D+01 0.25119610718870D-01 0.005 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 0 0 -0.190D-08 -0.143D-03
sat 1 var L :
32 terms
0 0.1446213296021224D+01 0.3551552286182400D+01
1 -0.0001925258348666 0.49369589722645D+01 0.13584836583050D-01 -81.252 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0.994D-09 -0.196D-03
2 -0.0000970803596076 0.43188796477322D+01 0.13034138432430D-01 -40.971 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 -0.155D-09 -0.438D-05
3 -0.0000898817416500 0.19080016428617D+01 0.30506486715800D-02 -37.933 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -0.547D-06 -0.147D-04
4 -0.0000553101050262 0.14936156681569D+01 0.12938928911550D-01 -23.343 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0.334D-09 0.519D-04
5 -0.0000503584426150 0.36410196089987D+01 0.35644591049605D+01 -21.253 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452D-07 -0.154D-02
6 -0.0000444412770116 0.18196478828985D+01 0.17822295777568D+01 -18.756 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.270D-08 0.918D-04
7 0.0000418078870490 0.26346334480977D+01 0.15571117221300D-01 17.644 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0.280D-09 -0.156D-04
8 0.0000372356597388 0.21402440902650D+01 0.14500977488900D-02 15.715 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.860D-07 0.999D+03
9 -0.0000234440533016 0.19871945729267D+00 0.24675315507400D-01 -9.894 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 -0.249D-10 -0.787D-06
10 -0.0000160313164240 0.28203470990931D+01 0.95196190000000D-04 -6.766 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0.128D-07 0.486D-02
11 -0.0000119049755698 0.99521552502799D+00 0.71289183312483D+01 -5.024 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.310D-07 0.558D-03
12 -0.0000109014269320 0.11586742711973D+01 0.26733443704266D+01 -4.601 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.783D-08 0.130D-03
13 0.0000087217118104 0.22995085327344D+01 0.44456805185000D-03 3.681 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 -0.275D-06 -0.103D-01
14 0.0000082229455492 0.84723690387904D+00 0.54980078903000D-03 3.470 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
15 0.0000075365481720 0.30644603245150D+01 0.64826749624000D-03 3.181 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
16 -0.0000061452803962 0.28150499448772D+01 0.89111478635073D+01 -2.593 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118D-07 0.463D-03
17 -0.0000057575824778 0.34760236756099D+01 0.80200331112799D+01 -2.430 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235D-07 0.389D-03
18 -0.0000053196302672 0.14952058549171D+01 0.29001290992300D-02 -2.245 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0.238D-06 0.999D+03
19 -0.0000051181206936 0.46347077042449D+01 0.10693377436209D+02 -2.160 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142D-07 0.510D-03
20 -0.0000047817413326 0.49236512419835D+01 0.30554833877800D-02 -2.018 0 0 0 0 0 0 0 0 0 0 -1 -1 0 0 0 0 2 0.358D-06 0.999D+03
21 0.0000045554015322 0.19585097634352D+01 0.22928625941210D-01 1.923 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0.800D-06 -0.111D-01
22 0.0000043204134698 0.15842888614383D+01 0.15677112478190D-01 1.823 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
23 0.0000037684098282 0.23173652780077D+01 0.53466887181044D+01 1.590 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708D-08 0.243D-03
24 -0.0000031403738248 0.22184076281042D+01 0.25155489165510D-01 -1.325 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
25 0.0000024336535428 0.85320650238886D+00 0.25426968834400D-02 1.027 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
26 -0.0000020289901692 0.36168998565188D+01 0.63501320826717D+01 -0.856 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228D-07 -0.405D-03
27 0.0000018665438704 0.48458061649481D+01 0.13589674898130D-01 0.788 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
28 -0.0000018552431038 0.17086811529922D+00 0.12475607079684D+02 -0.783 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.543D-07 0.939D-03
29 -0.0000016229875536 0.62803206871082D+01 0.60414171604000D-03 -0.685 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
30 -0.0000013160987604 0.14718125754925D+01 0.14358460012320D-01 -0.555 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 -1 1 0.917D-07 0.999D+03
31 0.0000008070729808 0.38735416148641D+00 0.37658680379100D-02 0.341 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 -0.588D-06 0.999D+03
32 0.0000002602397658 0.14337589305551D+01 0.45692429208000D-02 0.110 0 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 -0.173D-06 0.999D+03
sat 1 var z :
23 terms
1 0.0041510849668155 0.40899396355450D+01 -0.12906864146660D-01 1751.882 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0.000D+00 0.720D-10
2 0.0006260521444113 0.14461888986270D+01 0.35515522949802D+01 264.213 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.880D-08 0.244D-04
3 0.0000352747346169 0.21256287034578D+01 0.12727416567000D-03 14.887 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -0.354D-10 0.891D-06
4 0.0000198194483636 0.55835619926762D+01 0.32065751140000D-04 8.364 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -0.652D-09 0.452D-04
5 0.0000146399842989 0.44137212696837D+00 0.26642533547700D-02 6.179 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0.000D+00 -0.354D-10
6 0.0000098749504021 0.45076118781320D+00 -0.35773660260022D+01 4.168 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119D-07 -0.321D-03
7 -0.0000096819265753 0.59097266550442D+01 0.17693227079462D+01 -4.086 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318D-08 -0.677D-04
8 -0.0000083063168209 0.28751474873012D+00 0.87820791951527D+00 -3.506 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407D-08 -0.106D-03
9 0.0000059689735869 0.50740752477871D+01 0.71160118048918D+01 2.519 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.369D-06 0.116D-01
10 -0.0000052220588690 0.27460731023666D+01 0.67796100936000D-03 -2.204 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0.124D-07 -0.256D-02
11 0.0000046538995236 0.49143203339385D+01 -0.53595956184347D+01 1.964 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293D-07 -0.435D-03
12 0.0000045951340101 0.42533513770304D+01 -0.44684808200578D+01 1.939 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185D-07 -0.366D-03
13 -0.0000037711061757 0.54120093562773D+01 -0.17951364445825D+01 -1.592 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558D-08 -0.219D-03
14 0.0000037405126681 0.30946737347297D+01 -0.71418251640916D+01 1.579 -3 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.983D-10 -0.493D-03
15 0.0000022044764663 0.54360702580001D+01 -0.26491700241240D-01 0.930 0 0 0 0 0 -1 0 0 0 0 0 0 0 -2 0 0 0 -0.148D-08 0.292D-03
16 0.0000018698303790 0.41124042914226D+01 -0.27985797954589D+01 0.789 -1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.239D-07 0.499D-03
17 -0.0000015410375360 0.27141931505529D+01 0.27731236679900D-02 -0.650 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 2 -0.303D-07 -0.166D-02
18 0.0000013214613496 0.12750177723530D+01 -0.89240547799787D+01 0.558 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407D-07 -0.611D-03
19 -0.0000012707585609 0.51141075152507D+01 0.37654227378982D+00 -0.536 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
20 0.0000012193607962 0.59977053365953D+01 -0.98566169956900D-02 0.515 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -0.146D-06 0.221D-03
21 -0.0000011886104747 0.32658350285168D+01 0.53337818460633D+01 -0.502 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152D-07 0.118D-03
22 0.0000008742035177 0.23903528311144D+01 0.25194921818800D-02 0.369 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
23 -0.0000007689215742 0.38308837306225D+01 -0.27293225500100D-02 -0.325 0 0 0 0 0 -1 0 -1 0 1 0 0 0 0 0 -1 -1 -0.106D-06 0.999D+03
sat 1 var zeta :
15 terms
1 0.0003142172466014 0.27964219722923D+01 -0.23150960980000D-02 132.609 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0.000D+00 -0.303D-10
2 0.0000904169207946 0.10477061879627D+01 -0.56920638196000D-03 38.159 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -0.234D-10 0.129D-06
3 0.0000175695395780 0.24150809680215D+01 0.00000000000000D+00 7.415 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0.000D+00 -0.169D-02
4 0.0000164452324013 0.33368861773902D+01 -0.12491307197000D-03 6.940 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0.139D-11 0.102D-06
5 0.0000055424829091 0.59720202381027D+01 -0.30561164720000D-04 2.339 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -0.905D-10 0.153D-03
6 0.0000035856270353 0.84898736841329D+00 -0.25244521900630D-01 1.513 0 0 0 0 0 0 0 0 0 -1 0 0 0 -2 0 0 0 0.127D-10 0.279D-06
7 0.0000024180760140 0.55603770950923D+01 0.29003681445800D-02 1.021 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -0.646D-09 0.999D+03
8 -0.0000008673084930 0.28496686106299D+00 -0.14500593353200D-02 -0.366 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -0.124D-06 0.999D+03
9 -0.0000003176227277 0.53834633036029D+01 -0.23498632298700D-01 -0.134 0 0 0 0 0 0 0 0 -1 0 0 0 0 -2 0 0 0 0.103D-09 -0.600D-05
10 0.0000003152816608 0.45569499027478D+01 0.43504654304000D-02 0.133 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0.858D-07 0.999D+03
11 0.0000002338676726 0.17633292120047D+01 0.14501339138600D-02 0.099 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.498D-07 0.999D+03
12 0.0000001754553689 0.48429319984493D+01 -0.25688816532440D-01 0.074 0 0 0 0 0 0 0 0 0 0 -1 0 0 -2 0 0 0 0.131D-08 0.610D-04
13 0.0000001286319583 0.57543347143871D+01 -0.25813660979740D-01 0.054 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 0 -0.673D-07 0.122D-01
14 0.0000000967213304 0.11503592426900D+01 -0.29001471397800D-02 0.041 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.220D-06 0.999D+03
15 0.0000000000692310 0.40745966852008D+01 -0.32506757319070D-01 0.000 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 2 var a :
38 terms
1 0.0044871037804314 0.00000000000000D+00 0.00000000000000D+00 671261.168 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000D+00 0.000D+00
2 0.0000004324367498 0.18196456062910D+01 0.17822295777568D+01 64.692 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.270D-08 0.940D-04
3 0.0000001603614750 0.43002726529577D+01 0.26733443704266D+01 23.990 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.782D-08 0.107D-03
4 -0.0000001019146786 0.54589480865442D+01 0.53466887181044D+01 -15.246 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707D-08 0.271D-03
5 0.0000000924734786 0.56222139048906D+01 0.89111478887838D+00 13.834 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.134D-08 0.361D-04
6 -0.0000000523665800 0.36392846323417D+01 0.35644591656241D+01 -7.834 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155D-07 0.195D-03
7 0.0000000511509000 0.29783307371014D+01 0.44555739317536D+01 7.652 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592D-08 0.178D-03
8 -0.0000000311907780 0.99466557754027D+00 0.71289183312483D+01 -4.666 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.310D-07 0.111D-02
9 -0.0000000272859938 0.28144480309092D+01 0.89111478635073D+01 -4.082 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118D-07 0.106D-02
10 0.0000000232225828 0.62608434364366D+01 0.27856729211550D+01 3.474 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342D-07 -0.643D-03
11 -0.0000000181310770 0.43188692380649D+01 0.13034138308860D-01 -2.712 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 -0.319D-10 0.603D-05
12 0.0000000174960544 0.16563941638726D+01 0.62378035398422D+01 2.617 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271D-07 0.244D-03
13 -0.0000000122874072 0.46421290370833D+01 0.10693377254218D+02 -1.838 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196D-06 -0.688D-02
14 -0.0000000095367130 0.14936536615312D+01 0.12938928820690D-01 -1.427 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0.425D-09 0.139D-04
15 -0.0000000084863836 0.17146854643555D+00 0.12475607079684D+02 -1.270 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.543D-07 0.338D-03
16 0.0000000071939342 0.49376739095661D+01 0.13584833017030D-01 1.076 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0.456D-08 -0.911D-03
17 0.0000000069122354 0.62488746138492D+01 0.41785094280464D+01 1.034 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502D-08 -0.166D-03
18 0.0000000061377568 0.33434976298081D+00 0.80200331112799D+01 0.918 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235D-07 0.418D-03
19 -0.0000000045343054 0.19892156959655D+01 0.14257836656755D+02 -0.678 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.563D-07 0.233D-02
20 0.0000000044574684 0.34597804303324D+00 0.35357692227539D+01 0.667 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
21 0.0000000042350072 0.62719655202169D+01 0.13928364636651D+01 0.634 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140D-07 -0.272D-03
22 -0.0000000028783772 0.38108811302610D+01 0.16040066232595D+02 -0.431 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.571D-07 0.405D-03
23 0.0000000024354662 0.99587190880214D+00 0.90414989297380D+00 0.364 0 2 -3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -0.967D-06 0.999D+03
24 0.0000000022532940 0.52958965893939D+01 0.98022627054664D+01 0.337 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.426D-07 0.186D-03
25 0.0000000021573570 0.62379050559630D+01 0.55713458670107D+01 0.323 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437D-07 -0.689D-03
26 -0.0000000016530062 0.56456686036734D+01 0.17822294694543D+02 -0.247 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
27 0.0000000016464798 0.26346435392424D+01 0.15571117126760D-01 0.246 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0.375D-09 -0.257D-04
28 0.0000000011589838 0.32732388195745D+01 0.17691951440716D+01 0.173 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0.293D-06 0.999D+03
29 -0.0000000010251826 0.19079858535660D+01 0.30506497838200D-02 -0.153 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -0.549D-06 0.110D-05
30 -0.0000000010203510 0.11692020351116D+01 0.19604525194172D+02 -0.153 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131D-06 -0.162D-02
31 0.0000000007614982 0.16862812414995D+01 0.35342961443230D+01 0.114 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
32 0.0000000007104494 0.59112717191092D+01 0.24092214574831D+01 0.106 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
33 -0.0000000006957184 0.24879412197796D+01 0.25119609730670D-01 -0.104 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 0 0 -0.913D-09 -0.426D-04
34 -0.0000000005817914 0.19872303312324D+00 0.24675315511270D-01 -0.087 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 -0.287D-10 -0.436D-05
35 -0.0000000003792178 0.15765189821595D+01 0.25244441830200D-01 -0.057 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 0 0.801D-07 -0.121D-01
36 0.0000000003397378 0.58126953372535D+01 0.25973067138760D-01 0.051 0 0 0 0 0 0 1 1 0 0 0 0 0 2 0 0 0 0.384D-09 -0.153D-03
37 0.0000000003159492 0.23545476741301D+01 0.26068277099550D-01 0.047 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 -0.546D-09 0.176D-04
38 0.0000000002538154 0.19471441186087D+01 0.22929424919760D-01 0.038 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0.870D-09 0.290D-03
sat 2 var L :
36 terms
0 -0.3735263437471362D+00 0.1769322711123470D+01
1 0.0008576433172936 0.43188693178264D+01 0.13034138308050D-01 575.703 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 -0.311D-10 0.595D-05
2 0.0004549582875086 0.14936531751079D+01 0.12938928819620D-01 305.396 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0.426D-09 0.143D-04
3 0.0003248939825174 0.18196494533458D+01 0.17822295777568D+01 218.089 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.270D-08 0.902D-04
4 -0.0003074250079334 0.49377037005911D+01 0.13584832867240D-01 -206.362 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0.471D-08 -0.941D-03
5 0.0001982386144784 0.19079869054760D+01 0.30510121286900D-02 133.070 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -0.911D-06 0.515D-07
6 0.0001834063551804 0.21402853388529D+01 0.14500978933800D-02 123.114 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.859D-07 0.999D+03
7 -0.0001434383188452 0.56222140366630D+01 0.89111478887838D+00 -96.285 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.134D-08 0.360D-04
8 -0.0000771939140944 0.43002724372350D+01 0.26733443704266D+01 -51.817 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.782D-08 0.107D-03
9 -0.0000632289777196 0.26346392822098D+01 0.15571117084700D-01 -42.443 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0.417D-09 -0.215D-04
10 0.0000446766477388 0.54589448561143D+01 0.53466887181044D+01 29.990 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707D-08 0.274D-03
11 0.0000436574731410 0.36392908617709D+01 0.35644591656241D+01 29.306 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155D-07 0.188D-03
12 0.0000349172750296 0.28289867162553D+01 0.29885749150000D-04 23.439 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0 0.676D-06 0.999D+03
13 -0.0000325709094646 0.53721409780230D+01 0.12495233774000D-03 -21.864 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 -0.393D-07 -0.124D-01
14 0.0000205826473860 0.15258464215508D+01 0.29001315522200D-02 13.816 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0.236D-06 0.999D+03
15 -0.0000192706087556 0.29783311531879D+01 0.44555739317536D+01 -12.936 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592D-08 0.178D-03
16 0.0000168028316254 0.24879414119403D+01 0.25119609725650D-01 11.279 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 0 0 -0.908D-09 -0.428D-04
17 -0.0000141628733606 0.29183576504413D+01 0.64930403718000D-03 -9.507 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 2 0.976D-07 0.999D+03
18 0.0000140713155600 0.19872319369353D+00 0.24675315510310D-01 9.446 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 -0.278D-10 -0.452D-05
19 0.0000131946915760 0.99584744364935D+00 0.71289183312483D+01 8.857 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.310D-07 -0.742D-04
20 0.0000106598617620 0.53356907396678D+01 0.30233219231900D-02 7.156 0 0 0 0 0 0 -1 0 0 0 -2 0 0 0 0 0 2 -0.402D-06 0.999D+03
21 -0.0000104011727738 0.62608296198866D+01 0.27856729211550D+01 -6.982 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342D-07 -0.629D-03
22 0.0000100746080234 0.44288900030073D+01 0.55297871931000D-03 6.763 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 2 0.228D-06 0.999D+03
23 0.0000097414019416 0.27312462188296D+01 0.89111510230745D+01 6.539 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
24 -0.0000094651366640 0.25010358163865D+01 0.93478322470000D-04 -6.354 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0.873D-06 0.999D+03
25 0.0000091108073324 0.15765182522628D+01 0.25244441682120D-01 6.116 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 0 0.802D-07 -0.121D-01
26 -0.0000087720567668 0.15376962386886D+01 0.15676393315070D-01 -5.888 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
27 -0.0000078429703340 0.58128473756772D+01 0.25973069246350D-01 -5.265 0 0 0 0 0 0 1 1 0 0 0 0 0 2 0 0 0 -0.172D-08 -0.305D-03
28 -0.0000075566039418 0.30586251688920D+01 0.43252872559000D-03 -5.072 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
29 -0.0000066580990752 0.19591270593390D+01 0.22928567412490D-01 -4.469 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0.858D-06 -0.117D-01
30 -0.0000065854142774 0.18617673337640D+01 0.26093058384670D-01 -4.421 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
31 -0.0000058131135230 0.16563893807978D+01 0.62378035398422D+01 -3.902 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271D-07 0.249D-03
32 0.0000055720865276 0.39565695752204D+01 0.25481216339900D-02 3.740 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
33 -0.0000048198508906 0.62720230965345D+01 0.13928364605775D+01 -3.235 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171D-07 -0.330D-03
34 0.0000042728431266 0.46220912946918D+01 0.10693377982182D+02 2.868 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.532D-06 0.132D-01
35 0.0000042175545304 0.13509343368359D+01 0.30164435787800D-02 2.831 0 0 0 0 0 -2 -1 0 0 0 0 0 1 0 0 0 1 0.620D-06 0.999D+03
36 0.0000037707624520 0.51034507119889D+01 0.25219658202250D-01 2.531 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 2 var z :
41 terms
1 -0.0093589104136341 0.40899396509039D+01 -0.12906864146660D-01 -6282.273 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0.000D+00 -0.153D-07
2 0.0002988994545555 0.59097265185595D+01 0.17693227079462D+01 200.640 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318D-08 -0.676D-04
3 0.0002139036390350 0.21256289300016D+01 0.12727418407000D-03 143.585 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -0.538D-10 0.664D-06
4 0.0001980963564781 0.27435168292650D+01 0.67797343009000D-03 132.974 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0.000D+00 -0.490D-10
5 0.0001210388158965 0.55839943711203D+01 0.32056614900000D-04 81.249 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0.848D-08 -0.387D-03
6 0.0000837042048393 0.16094538368039D+01 -0.90402165808846D+00 56.187 0 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661D-08 -0.174D-03
7 0.0000823525166369 0.14461887708689D+01 0.35515522949802D+01 55.280 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.880D-08 0.245D-04
8 -0.0000315906532820 0.28751224400811D+00 0.87820791951527D+00 -21.206 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407D-08 -0.103D-03
9 -0.0000294503681314 0.45078002968967D+00 -0.35773660260022D+01 -19.769 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119D-07 -0.340D-03
10 -0.0000278946698536 0.22704374310903D+01 -0.17951364497113D+01 -18.725 0 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107D-07 -0.223D-03
11 0.0000144958688621 0.29313956641719D+01 -0.26862512422390D+01 9.731 0 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157D-07 -0.246D-03
12 0.0000139052321679 0.60542576187622D+01 -0.25941002404500D-01 9.334 0 0 0 0 0 0 -1 0 0 0 0 0 0 -2 0 0 0 -0.191D-10 -0.794D-05
13 0.0000108374431350 0.59320761116863D+01 -0.10163502160128D+01 7.275 0 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.282D-07 0.567D-03
14 -0.0000082175838585 0.49144730088838D+01 -0.53595956184347D+01 -5.516 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293D-07 -0.587D-03
15 0.0000073925894084 0.25962855881215D+01 -0.25845792927870D-01 4.962 0 0 0 0 0 0 0 -1 0 0 0 0 0 -2 0 0 0 -0.465D-09 -0.135D-04
16 0.0000062618381566 0.62252936384007D+01 -0.71418248393794D+01 4.203 0 -9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.325D-06 0.105D-01
17 -0.0000051968296512 0.54353355159239D+01 -0.26491696725040D-01 -3.488 0 0 0 0 0 -1 0 0 0 0 0 0 0 -2 0 0 0 -0.500D-08 0.103D-02
18 -0.0000043507065743 0.51150292346242D+01 0.37654221060604D+00 -2.920 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
19 0.0000042081682285 0.31202613836361D+01 0.44427230757158D+01 2.825 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
20 0.0000041298266970 0.42533371370636D+01 -0.44684808200578D+01 2.772 0 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184D-07 -0.317D-03
21 -0.0000036991221930 0.52487564172390D+01 0.26604375002057D+01 -2.483 0 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155D-08 -0.327D-04
22 -0.0000027357551003 0.12734806685602D+01 -0.89240546532297D+01 -1.836 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.860D-07 0.926D-03
23 -0.0000026854901206 0.75596663258784D+00 0.15806953180460D-01 -1.803 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
24 0.0000023074479953 0.19438998534712D+01 0.71160114825227D+01 1.549 0 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462D-07 0.147D-03
25 0.0000020163445050 0.58484195254467D+01 -0.24091843401454D+01 1.353 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
26 -0.0000018506530067 0.26838225102582D+01 0.68236609075000D-03 -1.242 0 0 0 0 0 0 0 -1 -1 0 0 0 -1 0 0 0 1 0.747D-06 0.999D+03
27 0.0000018159137522 0.26048690461733D+01 0.62248966818788D+01 1.219 0 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331D-07 0.114D-03
28 -0.0000017894118824 0.57385537790777D+01 -0.10706284328884D+02 -1.201 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146D-07 -0.702D-03
29 0.0000016518864520 0.32658492478888D+01 0.53337818460633D+01 1.109 0 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152D-07 0.686D-04
30 -0.0000015660692561 0.61789350505156D+01 -0.11453588847960D-01 -1.051 0 0 0 0 0 0 1 0 0 0 1 0 0 -1 0 -1 1 -0.730D-06 0.999D+03
31 0.0000014426949422 0.60014075911383D+01 -0.17664769149811D+01 0.968 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
32 0.0000013196935928 0.55753025652974D+01 -0.62507103665413D+01 0.886 0 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101D-07 -0.411D-03
33 -0.0000011726743714 0.50242932747650D+01 -0.14351210704140D-01 -0.787 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
34 -0.0000009550285338 0.28409403047363D+01 0.14257595044900D-02 -0.641 0 0 0 0 0 1 0 1 -1 0 0 0 -1 0 0 0 1 -0.542D-06 0.999D+03
35 -0.0000007569857746 0.38098760906143D+01 -0.27271627793800D-02 -0.508 0 0 0 0 0 0 0 1 1 1 -1 0 0 0 0 -1 0 -0.162D-06 0.999D+03
36 -0.0000007495662748 0.29896372346394D+01 0.20097553243900D-02 -0.503 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
37 0.0000007091149133 0.27139331814919D+01 -0.19924932783300D-02 0.476 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
38 0.0000005646670312 0.21683602575236D+01 -0.12871803232940D-01 0.379 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
39 -0.0000002004455524 0.12893849410519D+01 -0.32724923477800D-02 -0.135 0 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 1 -0.364D-06 0.999D+03
40 -0.0000001623489363 0.24189454629613D+00 0.44609337678800D-02 -0.109 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
41 0.0000001058862562 0.45356953407129D+01 0.39269908172100D-02 0.071 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 2 var zeta :
25 terms
1 0.0040404917832303 0.10477063169425D+01 -0.56920640540000D-03 2712.225 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0.000D+00 0.595D-10
2 0.0002200421034564 0.33368857864364D+01 -0.12491307307000D-03 147.706 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0.249D-11 0.493D-06
3 0.0001662544744719 0.24134862374711D+01 0.00000000000000D+00 111.600 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0.000D+00 -0.942D-04
4 0.0000590282470983 0.59719930968366D+01 -0.30561602250000D-04 39.623 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0.347D-09 0.181D-03
5 -0.0000105030331400 0.27964978379152D+01 -0.23150966123800D-02 -7.050 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0.514D-09 -0.759D-04
6 -0.0000102943248250 0.84898796322150D+00 -0.25244521901650D-01 -6.910 0 0 0 0 0 0 0 0 0 -1 0 0 0 -2 0 0 0 0.137D-10 -0.316D-06
7 0.0000072600013020 0.55603730312676D+01 0.29003676713100D-02 4.873 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -0.173D-09 0.999D+03
8 0.0000018391258758 0.28480515491153D+00 -0.14500579196900D-02 1.235 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -0.126D-06 0.999D+03
9 0.0000014880605763 0.48429974929766D+01 -0.25688815138710D-01 0.999 0 0 0 0 0 0 0 0 0 0 -1 0 0 -2 0 0 0 -0.840D-10 -0.450D-05
10 -0.0000008828196274 0.65011185407635D+00 0.34696170683100D-02 -0.593 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 1 2 -0.432D-07 0.999D+03
11 0.0000008714042768 0.17639430319108D+01 0.14501352157600D-02 0.585 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.485D-07 0.999D+03
12 0.0000008536188044 0.45568506666427D+01 0.43504641410100D-02 0.573 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0.871D-07 0.999D+03
13 0.0000006846214331 0.57542117253981D+01 -0.25813768702630D-01 0.460 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 0 0.404D-07 0.123D-01
14 0.0000004471826348 0.53834694321520D+01 -0.23498632366370D-01 0.300 0 0 0 0 0 0 0 0 -1 0 0 0 0 -2 0 0 0 0.171D-09 -0.121D-04
15 0.0000003034392168 0.22078201315180D+01 -0.25783170906020D-01 0.204 0 0 0 0 0 0 0 0 0 0 0 -1 0 -2 0 0 0 0.387D-08 -0.115D-03
16 0.0000001799083735 0.31858868501531D+01 0.88086056517000D-03 0.121 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0.117D-06 0.999D+03
17 -0.0000001792048645 0.51949494917342D+01 -0.20193236931900D-02 -0.120 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 -1 -0.665D-07 0.999D+03
18 -0.0000001098546626 0.59286821904995D+01 0.49197316579700D-02 -0.074 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 1 3 0.260D-07 0.999D+03
19 -0.0000001083128732 0.45808061408794D+01 -0.59959459406000D-03 -0.073 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 -1 0 -0.173D-06 0.257D-01
20 0.0000001062153531 0.38387102863271D+01 -0.53795085847000D-03 0.071 0 0 0 0 0 2 0 0 0 1 -1 0 0 0 0 0 -1 -0.579D-06 0.999D+03
21 0.0000000768496749 0.35553768729770D+01 0.58005587812700D-02 0.052 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0.176D-06 0.999D+03
22 -0.0000000692273841 0.46440611341931D+01 0.30253219029200D-02 -0.046 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 2 -0.413D-07 0.999D+03
23 0.0000000676969224 0.13621319661456D+00 -0.44430413602000D-03 0.045 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0.108D-07 -0.120D-01
24 -0.0000000621559952 0.30093497179950D+01 -0.13603287200690D-01 -0.042 0 0 0 0 0 0 -1 0 0 1 0 0 0 -1 0 0 0 -0.575D-07 0.267D-02
25 0.0000000000608298 0.40529569532600D+01 -0.32510869900940D-01 0.000 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 3 var a :
38 terms
1 0.0071566594572575 0.00000000000000D+00 0.00000000000000D+00 1070621.011 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000D+00 0.000D+00
2 0.0000013930299110 0.11586745884981D+01 0.26733443704266D+01 208.394 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.783D-08 0.130D-03
3 0.0000006449829346 0.56222145702102D+01 0.89111478887838D+00 96.488 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.134D-08 0.355D-04
4 0.0000002298059520 0.12995924044108D+01 0.10034433456729D+01 34.378 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346D-07 -0.706D-03
5 -0.0000001221434370 0.49612436330515D+01 0.17822295777568D+01 -18.272 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269D-08 0.711D-04
6 0.0000001095798176 0.19486708778350D+01 0.15051650461529D+01 16.393 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243D-07 -0.342D-03
7 0.0000000701435616 0.64978508114196D+00 0.50172166963138D+00 10.493 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205D-07 -0.342D-03
8 0.0000000547868566 0.25992050672074D+01 0.20068866945508D+01 8.196 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661D-07 -0.143D-02
9 -0.0000000394635858 0.23173535605652D+01 0.53466887181044D+01 -5.904 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710D-08 0.220D-03
10 -0.0000000363221428 0.36393008632056D+01 0.35644591656241D+01 -5.434 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155D-07 0.143D-03
11 0.0000000290949364 0.20123392230605D+01 0.17535157350384D+01 4.353 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.255D-06 0.751D-02
12 0.0000000281244968 0.32490010762048D+01 0.25086083721948D+01 4.207 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786D-07 -0.179D-02
13 -0.0000000207924698 0.29783308899923D+01 0.44555739317536D+01 -3.111 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592D-08 0.178D-03
14 0.0000000146896774 0.38988244013504D+01 0.30103300418262D+01 2.198 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991D-07 -0.217D-02
15 -0.0000000119930042 0.16563968316083D+01 0.62378035398422D+01 -1.794 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271D-07 0.241D-03
16 0.0000000112067460 0.43188665692819D+01 0.13034138285340D-01 1.677 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 -0.839D-11 0.870D-05
17 -0.0000000109535132 0.49372826282154D+01 0.13584834937940D-01 -1.639 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0.264D-08 -0.520D-03
18 0.0000000099867772 0.96700720263958D+00 0.62699633776977D+00 1.494 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
19 0.0000000077668260 0.45486373016444D+01 0.35120517182683D+01 1.162 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113D-06 -0.254D-02
20 0.0000000074143972 0.16140449852661D+00 0.12531361661566D+00 1.109 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
21 0.0000000066346638 0.33441073536010D+00 0.80200331112799D+01 0.993 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235D-07 0.357D-03
22 0.0000000057842684 0.14936630646671D+01 0.12938928799370D-01 0.865 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0.446D-09 0.446D-05
23 -0.0000000055768352 0.44651777597613D+01 0.11287386144710D+01 -0.834 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
24 -0.0000000049395106 0.61563894598809D+01 0.17520662093793D+01 -0.739 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 -0.913D-06 0.999D+03
25 0.0000000041439704 0.51984558307998D+01 0.40137734147421D+01 0.620 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107D-06 -0.291D-02
26 -0.0000000040765630 0.99543742426922D+00 0.71289183312483D+01 -0.610 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.310D-07 0.266D-03
27 -0.0000000036862062 0.46386836178626D+01 0.10693377254218D+02 -0.551 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196D-06 -0.354D-02
28 0.0000000033617538 0.37493658441448D+01 0.87808669180168D+00 0.503 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
29 0.0000000033348284 0.22668196818990D+01 0.16304394485673D+01 0.499 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
30 -0.0000000025754698 0.33293196902303D+00 0.17952648120307D+01 -0.385 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
31 0.0000000024363084 0.19604838407749D+01 0.11232854513197D+00 0.364 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476D-07 -0.662D-03
32 0.0000000022265432 0.58482745704418D+01 0.45154950951905D+01 0.333 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116D-06 -0.329D-02
33 0.0000000020032676 0.29166648062069D+01 0.21321610765333D+01 0.300 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
34 -0.0000000018115706 0.99782757414001D+00 0.90414978368384D+00 -0.271 0 2 -3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -0.858D-06 0.999D+03
35 0.0000000014535006 0.18748212041600D+01 0.89112137093506D+01 0.217 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
36 -0.0000000006819260 0.19871670124324D+00 0.24675315493830D-01 -0.102 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 -0.113D-10 0.197D-05
37 0.0000000004433776 0.24880003003965D+01 0.25119610196650D-01 0.066 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 0 0 -0.138D-08 -0.102D-03
38 -0.0000000002836658 0.58126277034761D+01 0.25973068607520D-01 -0.042 0 0 0 0 0 0 1 1 0 0 0 0 0 2 0 0 0 -0.108D-08 -0.849D-04
sat 3 var L :
31 terms
0 0.2874089391143348D+00 0.8782079235893280D+00
1 0.0002310797886226 0.21402987195942D+01 0.14500978438400D-02 247.399 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.859D-07 0.999D+03
2 -0.0001828635964118 0.43188672736968D+01 0.13034138282630D-01 -195.778 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 -0.568D-11 0.799D-05
3 0.0001512378778204 0.49373102372298D+01 0.13584834812520D-01 161.918 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0.276D-08 -0.548D-03
4 -0.0001163720969778 0.43002659861490D+01 0.26733443704266D+01 -124.590 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.782D-08 0.113D-03
5 -0.0000955478069846 0.14936612842567D+01 0.12938928798570D-01 -102.295 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0.447D-09 0.624D-05
6 0.0000815246854464 0.56222137132535D+01 0.89111478887838D+00 87.282 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.134D-08 0.363D-04
7 -0.0000801219679602 0.12995922951532D+01 0.10034433456729D+01 -85.780 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346D-07 -0.706D-03
8 -0.0000607017260182 0.64978769669238D+00 0.50172167043264D+00 -64.989 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197D-07 -0.345D-03
9 0.0000543922473002 0.27927547440639D+01 0.29880873700000D-04 58.233 0 0 0 0 0 0 -1 1 0 0 -1 0 0 0 0 1 0 -0.177D-06 0.999D+03
10 -0.0000489253646474 0.53711728089803D+01 0.12495278292000D-03 -52.381 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 -0.397D-07 -0.115D-01
11 -0.0000427574981536 0.18196513407448D+01 0.17822295777568D+01 -45.777 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.270D-08 0.883D-04
12 -0.0000307360417826 0.19498372703786D+01 0.15051650064903D+01 -32.907 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640D-07 -0.151D-02
13 -0.0000169767346458 0.19078637281659D+01 0.30507678226700D-02 -18.176 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -0.667D-06 0.123D-03
14 0.0000154725890508 0.56912713028984D+01 0.65164073556000D-03 16.565 0 0 0 0 0 0 0 -4 0 0 0 0 0 0 -1 0 0 -0.379D-07 -0.624D-02
15 -0.0000145268863648 0.18863875475387D+00 0.12530827181195D+00 -15.553 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
16 -0.0000135654458738 0.27930238268852D+01 0.55663681407000D-03 -14.523 0 0 0 0 0 0 -1 -3 0 0 0 0 0 0 -1 0 0 -0.243D-06 0.999D+03
17 -0.0000134648621904 0.25991972928128D+01 0.20068866945508D+01 -14.416 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661D-07 -0.143D-02
18 0.0000095524017320 0.23173520454449D+01 0.53466887181044D+01 10.227 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710D-08 0.222D-03
19 0.0000087955125170 0.36393024031096D+01 0.35644591656241D+01 9.417 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155D-07 0.142D-03
20 0.0000075462003630 0.53560617584395D+01 0.92426977490000D-04 8.079 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 -1 -2 0.275D-06 0.999D+03
21 -0.0000071146195958 0.20120561622463D+01 0.17535157644008D+01 -7.617 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.285D-06 0.779D-02
22 0.0000064153141218 0.15526366820734D+01 0.29001309732400D-02 6.868 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0.237D-06 0.999D+03
23 -0.0000063221625942 0.32490122452649D+01 0.25086083721948D+01 -6.769 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786D-07 -0.180D-02
24 -0.0000056564973024 0.24862139082596D+01 0.44834622386000D-03 -6.056 0 0 0 0 1 0 0 0 -1 0 0 1 -1 0 0 0 -1 0.157D-06 0.999D+03
25 0.0000052570245720 0.19871532348033D+00 0.24675315501580D-01 5.628 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 -0.191D-10 0.335D-05
26 0.0000047020767994 0.29783317790630D+01 0.44555739317536D+01 5.034 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592D-08 0.177D-03
27 -0.0000047004229470 0.96617050453708D+00 0.62699712737505D+00 -5.032 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
28 -0.0000046565198820 0.36125113449716D+01 0.43633231340000D-03 -4.985 0 0 0 0 0 0 0 0 0 2 -1 0 0 0 0 1 1 0.352D-06 0.999D+03
29 -0.0000042349322008 0.19604744669606D+01 0.11232854282257D+00 -4.534 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500D-07 -0.653D-03
30 -0.0000038755741918 0.22619624763183D+01 0.25146663939730D-01 -4.149 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
31 -0.0000032577733688 0.56861827246039D+01 0.17074576501600D-02 -3.488 0 0 0 0 0 -1 0 0 0 0 -1 -1 0 0 -1 0 1 0.903D-07 0.999D+03
sat 3 var z :
50 terms
1 0.0014289811307319 0.21256295942739D+01 0.12727413029000D-03 1529.897 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0.000D+00 0.221D-10
2 0.0007710931226760 0.55836330003496D+01 0.32064341100000D-04 825.548 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0.758D-09 -0.258D-04
3 0.0005925911780766 0.40899396636448D+01 -0.12906864146660D-01 634.441 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0.000D+00 -0.280D-07
4 0.0002045597496146 0.52713683670372D+01 -0.12523544076106D+00 219.006 0 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160D-07 0.340D-03
5 0.0001785118648258 0.28743156721063D+00 0.87820792442520D+00 191.119 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.836D-09 -0.226D-04
6 0.0001131999784893 0.14462127277818D+01 0.35515522949802D+01 121.194 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.880D-08 0.568D-06
7 -0.0000658778169210 0.22702423990985D+01 -0.17951364394537D+01 -70.530 0 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441D-09 -0.276D-04
8 0.0000497058888328 0.59096792204858D+01 0.17693227129285D+01 53.216 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.181D-08 -0.203D-04
9 -0.0000316384926978 0.16093054939404D+01 -0.90402165028424D+00 -33.873 0 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.119D-08 -0.260D-04
10 0.0000287801237327 0.46217321268757D+01 -0.62695712341840D+00 30.813 0 0 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235D-07 0.533D-03
11 -0.0000181744317896 0.59210641379360D+01 0.37648623991673D+00 -19.458 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.648D-08 0.870D-04
12 0.0000105558175161 0.39720191398746D+01 -0.11286788041058D+01 11.301 0 0 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.329D-07 0.803D-03
13 -0.0000070808673396 0.60542548894164D+01 -0.25941002415210D-01 -7.581 0 0 0 0 0 0 -1 0 0 0 0 0 0 -2 0 0 0 -0.840D-11 -0.521D-05
14 -0.0000070804404020 0.27978433776854D+01 0.67774258703000D-03 -7.580 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0.231D-06 0.999D+03
15 -0.0000061046181888 0.14151685760988D+01 -0.87530769416913D+00 -6.536 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
16 -0.0000057610853129 0.42530537622646D+01 -0.44684807882788D+01 -6.168 0 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.133D-07 -0.331D-04
17 -0.0000057310334964 0.29311803223072D+01 -0.26862512192699D+01 -6.136 0 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.728D-08 -0.303D-04
18 0.0000048299146941 0.27138294508149D+01 0.27731329671900D-02 5.171 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 2 -0.396D-07 -0.130D-02
19 0.0000046610005483 0.33222980229554D+01 -0.16304004832039D+01 4.990 0 0 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.440D-07 0.108D-02
20 -0.0000038142769361 0.25962943627643D+01 -0.25845792955510D-01 -4.084 0 0 0 0 0 0 0 -1 0 0 0 0 0 -2 0 0 0 -0.437D-09 -0.222D-04
21 0.0000034982417330 0.15866568011217D+01 0.18816512920593D+01 3.745 0 0 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118D-07 -0.362D-03
22 -0.0000030091617315 0.35921173988567D+01 -0.35773660056343D+01 -3.222 0 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.845D-08 -0.320D-04
23 -0.0000024732926446 0.53461730094807D+01 0.25122576835111D+00 -2.648 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
24 0.0000024416432533 0.47049477027963D+01 -0.25049613834712D+00 2.614 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
25 0.0000024171568015 0.34508032389167D+01 0.00000000000000D+00 2.588 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
26 0.0000023143850535 0.55385759257808D+01 0.28683339028800D-02 2.478 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
27 0.0000022651772374 0.55608006706192D+01 0.14501892967800D-02 2.425 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -0.555D-08 -0.129D-03
28 0.0000022247695560 0.26725424635341D+01 -0.21321221654766D+01 2.382 0 0 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.519D-07 0.139D-02
29 0.0000020947921969 0.22350374116258D+01 0.23833730192673D+01 2.243 0 0 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.252D-07 0.701D-03
30 -0.0000014042712722 0.93718044411525D+00 0.13799296041822D+01 -1.503 0 0 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956D-08 -0.328D-03
31 0.0000011932531874 0.28861941414418D+01 0.28850946416201D+01 1.278 0 0 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426D-07 -0.101D-02
32 -0.0000011180389240 0.49139919849718D+01 -0.53595955727170D+01 -1.197 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.164D-07 -0.106D-03
33 0.0000011076384510 0.20227538540345D+01 -0.26338438454332D+01 1.186 0 0 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.621D-07 0.174D-02
34 -0.0000010371714944 0.40722739402948D+00 -0.87385759089274D+00 -1.110 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
35 -0.0000008993128501 0.30942691883530D+01 -0.71418251640916D+01 -0.963 -3 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.983D-10 -0.880D-04
36 0.0000007268381420 0.54334774230433D+01 -0.26491687896550D-01 0.778 0 0 0 0 0 -1 0 0 0 0 0 0 0 -2 0 0 0 -0.138D-07 0.289D-02
37 -0.0000007178049665 0.52487423493616D+01 0.26604375002057D+01 -0.768 0 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155D-08 -0.187D-04
38 0.0000006908412319 0.40596134184175D+01 -0.75221793556997D+00 0.740 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
39 -0.0000006784151570 0.38846818226669D+01 0.42496535534400D-02 -0.726 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 3 -0.992D-06 0.999D+03
40 0.0000006772314920 0.23013479896873D+01 0.26317235358158D+01 0.725 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.133D-06 0.591D-02
41 0.0000006659820028 0.35359530295550D+01 0.33868163258510D+01 0.713 0 0 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485D-07 -0.133D-02
42 -0.0000006339665249 0.39268665697903D+01 0.44426670658559D+01 -0.679 0 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787D-08 -0.135D-04
43 -0.0000006286307601 0.19440608894162D+01 0.71160114019304D+01 -0.673 0 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344D-07 -0.136D-04
44 -0.0000006128705113 0.25027415074658D+01 0.62249001971556D+01 -0.656 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
45 0.0000005660807396 0.13729316457251D+01 -0.31355655165873D+01 0.606 0 0 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.811D-07 0.212D-02
46 -0.0000005206551413 0.55749300982469D+01 -0.62507103665413D+01 -0.557 0 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101D-07 -0.389D-04
47 -0.0000004718481418 0.45366605084874D+01 0.16786677353000D-03 -0.505 0 0 0 0 0 0 -1 0 -1 1 0 0 0 0 0 0 -1 0.565D-06 0.999D+03
48 -0.0000004583970422 0.19351070248496D+01 -0.98151695574500D+01 -0.491 -4 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307D-07 0.270D-03
49 -0.0000004577854173 0.62350780976534D+01 0.17563373058434D+01 -0.490 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
50 0.0000003466029660 0.75412427489767D+00 0.15807097495700D-01 0.371 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 3 var zeta :
18 terms
1 0.0015932721570848 0.33368862796665D+01 -0.12491307058000D-03 1705.791 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0.000D+00 -0.225D-10
2 0.0008533093128905 0.24133881688166D+01 0.00000000000000D+00 913.571 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0.000D+00 0.390D-05
3 0.0003513347911037 0.59720789850127D+01 -0.30561017710000D-04 376.146 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -0.238D-09 0.947D-04
4 -0.0001441929255483 0.10477061764435D+01 -0.56920632124000D-03 -154.376 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -0.842D-10 0.141D-06
5 0.0000157303527750 0.55604041197704D+01 0.29003665011200D-02 16.841 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0.997D-09 0.999D+03
6 0.0000025161319881 0.28477653709685D+00 -0.14500554486800D-02 2.694 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -0.128D-06 0.999D+03
7 0.0000020438305183 0.17652628559998D+01 0.14501383926500D-02 2.188 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.454D-07 0.999D+03
8 0.0000017939612784 0.45568977341583D+01 0.43504621590400D-02 1.921 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0.891D-07 0.999D+03
9 0.0000013614276895 0.84898872627945D+00 -0.25244521900630D-01 1.458 0 0 0 0 0 0 0 0 0 -1 0 0 0 -2 0 0 0 0.127D-10 -0.108D-05
10 -0.0000008996109017 0.46441156003340D+01 0.30253214588300D-02 -0.963 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 2 -0.409D-07 0.999D+03
11 -0.0000008702078430 0.27972000093551D+01 -0.23150965645100D-02 -0.932 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0.467D-09 -0.778D-03
12 -0.0000004371144064 0.48429530385679D+01 -0.25688816011500D-01 -0.468 0 0 0 0 0 0 0 0 0 0 -1 0 0 -2 0 0 0 0.789D-09 0.400D-04
13 -0.0000002174259374 0.57543785603741D+01 -0.25813642993310D-01 -0.233 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 0 -0.853D-07 0.121D-01
14 -0.0000001926397869 0.20118539705648D+01 0.29330596864500D-02 -0.206 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
15 0.0000001589279656 0.35554727018503D+01 0.58005577768400D-02 0.170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0.177D-06 0.999D+03
16 -0.0000001432228753 0.11966574544002D+01 -0.15750124983800D-02 -0.153 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 -1 -0.843D-07 0.999D+03
17 -0.0000000926213408 0.22052538606469D+01 -0.25782797426020D-01 -0.099 0 0 0 0 0 0 0 0 0 0 0 -1 0 -2 0 0 0 -0.370D-06 0.245D-02
18 0.0000000000106902 0.45764213311755D+01 -0.32611614716800D-01 0.000 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 4 var a :
22 terms
1 0.0125879701715314 0.00000000000000D+00 0.00000000000000D+00 1883133.525 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000D+00 0.000D+00
2 0.0000035952049470 0.64965776007116D+00 0.50172168165034D+00 537.835 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851D-08 -0.215D-03
3 0.0000027580210652 0.18084235781510D+01 0.31750660413359D+01 412.594 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114D-07 -0.176D-03
4 0.0000012874896172 0.62718908285025D+01 0.13928364698403D+01 192.606 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785D-08 -0.198D-03
5 -0.0000004173729106 0.12990650292663D+01 0.10034433697108D+01 -62.438 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106D-07 -0.179D-03
6 0.0000002790757718 0.71428870045577D+00 0.75007225869130D+00 41.749 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.159D-06 0.667D-02
7 -0.0000001998252258 0.19489881012004D+01 0.15051650461529D+01 -29.893 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243D-07 -0.659D-03
8 -0.0000001001149838 0.25987168731338D+01 0.20068867266014D+01 -14.977 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340D-07 -0.945D-03
9 -0.0000000513967092 0.32484798706247D+01 0.25086084022422D+01 -7.689 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485D-07 -0.126D-02
10 -0.0000000475687992 0.48635521917696D+01 0.74862216593606D+00 -7.116 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 -3 -0.250D-06 0.999D+03
11 0.0000000348242240 0.15082713497295D+00 0.37645917070525D+00 5.210 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
12 0.0000000283840630 0.51672973364888D+01 0.12530678073049D+00 4.246 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
13 -0.0000000263234638 0.33499822210495D+01 0.30103491232578D+01 -3.938 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
14 0.0000000239106346 0.43573519442736D+01 0.62698238798737D+00 3.577 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
15 0.0000000219977422 0.15075404808879D+01 0.27986109086768D+01 3.291 1 0 0 -2 0 0 0 1 0 0 0 0 0 0 0 0 0 0.976D-06 0.999D+03
16 -0.0000000171144478 0.62607361864777D+01 0.27856729335053D+01 -2.560 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219D-07 -0.535D-03
17 -0.0000000141956834 0.45481077718910D+01 0.35120517575303D+01 -2.124 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736D-07 -0.201D-02
18 -0.0000000120003630 0.18583887479127D+01 0.11287042579152D+01 -1.795 0 0 0 3 0 -2 0 1 0 -1 0 0 0 0 0 -1 0 -0.233D-06 -0.258D-01
19 0.0000000108418904 0.54873138800427D+01 0.67395238593127D+01 1.622 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
20 0.0000000108218254 0.59772630516669D+01 0.10163811590412D+01 1.619 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
21 0.0000000002477642 0.56894071957878D+01 0.65165021654000D-03 0.037 0 0 0 0 0 0 0 -4 0 0 0 0 0 0 -1 0 0 -0.473D-07 -0.438D-02
22 -0.0000000001874576 0.28598333265121D+01 0.55639542661000D-03 -0.028 0 0 0 0 0 0 -1 -3 0 0 0 0 0 0 -1 0 0 -0.159D-08 -0.889D-05
sat 4 var L :
19 terms
0 -0.3620341291375704D+00 0.3764862334338280D+00
1 0.0005586040123824 0.21404207189815D+01 0.14500979323100D-02 1051.926 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.858D-07 0.999D+03
2 -0.0003805813868176 0.27358844897853D+01 0.29729650620000D-04 -716.686 0 0 0 0 0 0 -1 1 0 0 -1 0 0 0 0 1 0 -0.256D-07 0.999D+03
3 0.0002205152863262 0.64979652596400D+00 0.50172167243580D+00 415.260 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177D-07 -0.353D-03
4 0.0001877895151158 0.18084787604005D+01 0.31750660413359D+01 353.633 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114D-07 -0.231D-03
5 0.0000766916975242 0.62720114319755D+01 0.13928364636651D+01 144.421 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140D-07 -0.318D-03
6 0.0000747056855106 0.12995916202344D+01 0.10034433456729D+01 140.681 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346D-07 -0.705D-03
7 -0.0000388323297366 0.71289234751879D+00 0.75007236972328D+00 -73.126 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.270D-06 0.807D-02
8 0.0000335036484314 0.53712641184981D+01 0.12494011725000D-03 63.092 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 -0.270D-07 -0.116D-01
9 0.0000293032677938 0.19493939340593D+01 0.15051650209131D+01 55.182 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496D-07 -0.106D-02
10 0.0000185940935472 0.14630998372377D+01 0.29001339405200D-02 35.015 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0.234D-06 0.999D+03
11 -0.0000170438022886 0.56893382353856D+01 0.65165044781000D-03 -32.096 0 0 0 0 0 0 0 -4 0 0 0 0 0 0 -1 0 0 -0.476D-07 -0.431D-02
12 0.0000151393833114 0.28749516044614D+01 0.55646069067000D-03 28.509 0 0 0 0 0 0 -1 -3 0 0 0 0 0 0 -1 0 0 -0.668D-07 -0.151D-01
13 -0.0000148825637256 0.33321074618840D+01 0.12530790075011D+00 -28.026 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
14 0.0000129927896682 0.25991973549465D+01 0.20068866945508D+01 24.467 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661D-07 -0.143D-02
15 -0.0000116117398772 0.56192268627131D+01 0.93166256720000D-04 -21.866 0 0 0 0 0 -1 0 0 -1 0 1 -1 0 0 0 0 -1 -0.579D-06 0.999D+03
16 0.0000066211702894 0.48564958193206D+01 0.74862286166569D+00 12.469 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 -3 -0.946D-06 0.999D+03
17 0.0000065387442486 0.35580120361824D+01 0.16550513741900D-02 12.313 0 0 0 0 -1 0 0 -1 0 0 0 0 0 0 0 0 3 -0.819D-06 0.999D+03
18 0.0000061580798140 0.32490037889701D+01 0.25086083721948D+01 11.596 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786D-07 -0.179D-02
19 0.0000046797140778 0.96612169919707D+00 0.62699716616712D+00 8.813 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 4 var z :
46 terms
1 0.0073755808467977 0.55836071576084D+01 0.32065099140000D-04 13889.204 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0.000D+00 0.846D-10
2 0.0002065924169942 0.59209831565786D+01 0.37648624194703D+00 389.041 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.851D-08 0.168D-03
3 0.0001589869764021 0.28744006242623D+00 0.87820792442520D+00 299.394 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.836D-09 -0.311D-04
4 -0.0001561131605348 0.21257397865089D+01 0.12727441285000D-03 -293.982 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -0.283D-09 -0.110D-03
5 0.0001486043380971 0.14462134301023D+01 0.35515522949802D+01 279.842 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.880D-08 -0.134D-06
6 0.0000635073108731 0.59096803285954D+01 0.17693227129285D+01 119.593 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.181D-08 -0.214D-04
7 0.0000599351698525 0.41125517584798D+01 -0.27985797954589D+01 112.866 -1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.239D-07 0.352D-03
8 0.0000540660842731 0.55390350845569D+01 0.28683408228300D-02 101.814 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 2 -0.384D-07 -0.130D-02
9 -0.0000489596900866 0.46218149483338D+01 -0.62695712529519D+00 -92.198 0 0 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.216D-07 0.450D-03
10 0.0000333682283528 0.52066975238880D+01 -0.37358601734497D+00 62.837 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 2 0.151D-06 -0.650D-02
11 0.0000295832427279 0.59322697896516D+01 -0.10163502275209D+01 55.709 0 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.167D-07 0.374D-03
12 0.0000292325461337 0.52707623402008D+01 -0.12523542448602D+00 55.049 0 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.322D-07 0.946D-03
13 0.0000197588369441 0.33317768022759D+01 0.00000000000000D+00 37.209 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
14 -0.0000183551029746 0.39720443249757D+01 -0.11286788041058D+01 -34.565 0 0 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.329D-07 0.778D-03
15 0.0000090411191759 0.55606719963947D+01 0.14501837490800D-02 17.026 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.000D+00 0.843D-10
16 -0.0000081987970452 0.33223313720086D+01 -0.16304004832039D+01 -15.439 0 0 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.440D-07 0.105D-02
17 -0.0000060406575087 0.13970265485562D+01 0.43191832032300D-02 -11.375 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 3 0.807D-06 -0.578D-02
18 0.0000056895636122 0.41990956668120D+01 -0.37213592656720D+00 10.714 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 3 0.244D-06 0.999D+03
19 -0.0000040434854859 0.47008406172134D+01 -0.25049602889288D+00 -7.614 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
20 -0.0000039403527376 0.26725832255243D+01 -0.21321221654766D+01 -7.420 0 0 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.519D-07 0.135D-02
21 0.0000036901291978 0.35207772267753D+00 0.11265585018525D+01 6.949 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.169D-06 0.685D-02
22 -0.0000028551622596 0.55601265129356D+01 -0.31584886140000D-04 -5.377 0 0 0 0 0 0 0 1 0 0 1 -2 0 0 0 1 0 -0.141D-06 0.999D+03
23 -0.0000026588026505 0.25969882784477D+00 0.14182025553300D-02 -5.007 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 -0.839D-07 0.999D+03
24 -0.0000019711212463 0.20228019680496D+01 -0.26338438454332D+01 -3.712 0 0 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.621D-07 0.169D-02
25 0.0000019322089806 0.51418595457408D+01 0.25123117908847D+00 3.639 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
26 -0.0000018673159813 0.93674892088247D+00 0.13799296163047D+01 -3.516 0 0 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.256D-08 0.103D-03
27 0.0000016838424078 0.60796033426941D+01 0.75294520843775D+00 3.171 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
28 -0.0000016695689644 0.15867810488422D+01 0.18816512864243D+01 -3.144 0 0 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175D-07 -0.486D-03
29 0.0000016317841395 0.45789534393209D+01 0.14822429153000D-02 3.073 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0.593D-08 0.999D+03
30 -0.0000016159095087 0.30157253757329D+00 -0.14180284447900D-02 -3.043 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 -0.902D-07 0.999D+03
31 -0.0000014034621874 0.59433512039442D+01 -0.24091866865037D+01 -2.643 0 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.354D-07 0.784D-03
32 -0.0000012029942283 0.27137754880270D+01 0.27731373092900D-02 -2.265 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 2 -0.439D-07 -0.125D-02
33 -0.0000011758260607 0.40581098970285D+01 -0.75221789504525D+00 -2.214 0 0 0 -2 0 2 0 -1 0 1 0 0 0 0 0 1 0 0.104D-06 0.305D-01
34 -0.0000010798624964 0.22364861319452D+01 0.23833729650229D+01 -2.034 0 0 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290D-07 -0.748D-03
35 -0.0000010108880552 0.13729872033949D+01 -0.31355655165873D+01 -1.904 0 0 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.811D-07 0.206D-02
36 -0.0000008876681807 0.50534107615010D+01 -0.50169281575682D+00 -1.672 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
37 0.0000008869382117 0.50147420853991D+01 0.68353864231000D-03 1.670 0 0 0 0 0 0 0 -3 0 0 0 0 0 0 -1 0 0 0.129D-06 -0.293D-01
38 -0.0000008194699011 0.62190878357566D+01 -0.37503615934219D+00 -1.543 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0.110D-06 0.999D+03
39 0.0000007093782158 0.44118312641559D+01 -0.24221246131672D+01 1.336 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
40 0.0000006728737059 0.31910016062920D+01 -0.37068584881726D+00 1.267 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 4 0.350D-06 0.999D+03
41 0.0000006297345982 0.13595719733984D+01 0.11251084135564D+01 1.186 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 -3 -0.265D-06 0.999D+03
42 0.0000006128899757 0.51402161299290D+01 0.71160095483087D+01 1.154 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
43 -0.0000005580987049 0.34117733109010D+01 -0.12539396666771D+01 -1.051 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
44 0.0000005321318002 0.35377046967957D+01 0.57685340271300D-02 1.002 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 4 0.136D-06 0.999D+03
45 -0.0000004739086661 0.21645217929478D+01 0.58845474482000D-03 -0.892 0 0 0 0 0 0 -1 -2 0 0 0 0 0 0 -1 0 0 0.420D-08 -0.428D-02
46 0.0000004518928658 0.44963664372727D+01 0.29023325111200D-02 0.851 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
sat 4 var zeta :
18 terms
1 0.0038422977898495 0.24133922085557D+01 0.00000000000000D+00 7235.560 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0.000D+00 -0.138D-06
2 0.0022453891791894 0.59721736773277D+01 -0.30561255250000D-04 4228.368 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0.000D+00 0.273D-10
3 -0.0002604479450559 0.33368746306409D+01 -0.12491309972000D-03 -490.458 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0.291D-10 0.116D-04
4 0.0000332112143230 0.55604137742337D+01 0.29003768850700D-02 62.541 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -0.939D-08 0.999D+03
5 0.0000049727136261 0.28488229706820D+00 -0.14500571761900D-02 9.364 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -0.127D-06 0.999D+03
6 -0.0000049416729114 0.10476908456459D+01 -0.56920298857000D-03 -9.306 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -0.342D-08 0.155D-04
7 0.0000043945193428 0.17684273746003D+01 0.14501344524700D-02 8.275 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.493D-07 0.999D+03
8 0.0000037630501589 0.45567680530533D+01 0.43504645407000D-02 7.086 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0.867D-07 0.999D+03
9 -0.0000030823418750 0.20094360655956D+01 0.29313051376700D-02 -5.804 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 2 -0.376D-06 0.999D+03
10 0.0000004719790711 0.18055417618741D+01 0.14195445432000D-02 0.889 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0.780D-07 0.999D+03
11 -0.0000004637177865 0.38277528822158D+01 -0.14808731001600D-02 -0.873 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 -1 0.128D-06 0.999D+03
12 0.0000003497224175 0.46444360330108D+01 0.30253130162300D-02 0.659 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 2 -0.324D-07 0.999D+03
13 -0.0000003467132626 0.10120757927163D+01 0.43816126822900D-02 -0.653 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 3 -0.500D-06 0.999D+03
14 0.0000003324412570 0.35549391686606D+01 0.58005379032100D-02 0.626 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0.197D-06 0.999D+03
15 0.0000001945374351 0.61251687150860D+01 0.28808264872800D-02 0.366 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
16 0.0000001727743329 0.11900773236610D+01 -0.29001068524700D-02 0.325 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -0.261D-06 0.999D+03
17 -0.0000001485176585 0.62335834706368D+01 0.14807679092700D-02 -0.280 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 1 -0.229D-07 0.999D+03
18 0.0000000000666922 0.40616225761771D+01 -0.32724923474890D-01 0.000 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999D+03 0.999D+03
-819.727638594856D0 812.721806990360D0 = T1, T2 (years) and Tchebycheff polynomials within [T1,T2]
satellite 1
L Re(z) Im(z) Re(zeta) Im(zeta)
1 0.826698820334074D-04 -0.133581115495368D-06 -0.447550080805276D-07 -0.291234929817703D-06 -0.317117027043262D-06
2 -0.546986318473484D-05 -0.758579668623469D-08 -0.578177122641661D-09 -0.162905002759586D-06 -0.126321744097649D-06
3 0.594965634346142D-04 -0.173800453537518D-08 -0.535142525086474D-08 -0.368431020234090D-08 0.651758518535435D-08
4 -0.110076009434021D-04 -0.302381800276162D-08 0.102942385189608D-09 0.777164290527916D-09 0.262070675646012D-08
5 -0.575048718532862D-05 -0.721047445746571D-08 -0.849040607452073D-08 0.159932283427177D-08 0.259238370832140D-08
6 0.574994024502453D-05 -0.392259073275152D-09 -0.252840670456370D-08 -0.228491296590504D-08 -0.726318061740534D-09
7 0.178506935927118D-05 -0.416879673796892D-08 -0.613405545173217D-08 0.703033944342130D-09 -0.118191642174809D-08
8 -0.240677412003469D-05 -0.329083173926104D-08 -0.343800069555589D-08 -0.289289190860300D-10 0.590816038543625D-09
9 -0.138513209122323D-05 0.288537255009037D-08 -0.359984191898440D-08 0.486451562749639D-09 0.123053999757825D-08
satellite 2
L Re(z) Im(z) Re(zeta) Im(zeta)
1 -0.234691437046728D-03 -0.100355398526925D-05 -0.261024960215820D-06 -0.274704767394256D-05 -0.298415696654187D-05
2 0.259036121717763D-04 -0.580438343691240D-07 -0.182656275716032D-06 -0.154365304913777D-05 -0.119708851225481D-05
3 -0.173835841495123D-03 0.380875695145265D-07 0.278016374834476D-07 -0.349546762061882D-07 0.567146658521585D-07
4 0.380673357683932D-04 -0.210657418625019D-06 -0.158858363289506D-06 0.286789414864130D-08 0.268814727457189D-07
5 -0.103485888270120D-06 0.312238251072476D-06 0.231850746815330D-07 0.175452766852069D-07 0.261897719058852D-07
6 0.117376776995138D-04 -0.172444072203130D-06 -0.110691155968765D-06 -0.197744662243578D-07 -0.511649608698392D-08
7 0.319509608989603D-05 0.235985832098386D-06 -0.369048459423356D-07 0.343169676541053D-08 -0.127841777400320D-07
8 -0.483167496026174D-05 0.613727340553035D-07 0.678631069587260D-08 -0.130924950693160D-09 0.119534263567129D-07
9 0.447094431509368D-06 -0.158131098756712D-06 0.190777145516695D-07 0.135338072425105D-07 0.115749543781328D-07
satellite 3
L Re(z) Im(z) Re(zeta) Im(zeta)
1 -0.402499890223698D-03 -0.111797459279082D-06 -0.107044201697345D-06 -0.141968295962213D-04 -0.153976109321613D-04
2 0.422870514937427D-04 -0.278967292638245D-06 -0.223668695371038D-06 -0.793995493982020D-05 -0.612022141299496D-05
3 -0.288258753042082D-03 -0.704645336679784D-07 -0.218527598721759D-06 -0.208882224662785D-06 0.315217558237908D-06
4 0.623338370193608D-04 -0.238693040681653D-06 -0.200040954734845D-06 0.209762683478441D-07 0.148179418616661D-06
5 0.178692873660163D-05 0.122869992713930D-07 -0.319586844323525D-06 0.835070484335148D-07 0.141150094231365D-06
6 0.144147643545141D-04 -0.153370399783488D-06 -0.222086683443490D-06 -0.107729670354460D-06 -0.224063936978287D-07
7 0.658944353306297D-05 0.447318789843126D-07 -0.298609138042077D-06 0.306301230195125D-07 -0.333311708439601D-07
8 -0.619139500170464D-05 -0.165802124252890D-07 -0.129217448782639D-06 0.112449433356374D-07 0.107863442857316D-07
9 0.782954615405540D-06 -0.828946056921499D-07 -0.150654590880644D-06 0.708786417409988D-08 0.662499119729457D-07
satellite 4
L Re(z) Im(z) Re(zeta) Im(zeta)
1 0.306204347064615D-03 -0.181310025984216D-06 -0.140782617429892D-05 -0.640936655172450D-04 -0.696069435911693D-04
2 -0.168321429486551D-03 -0.126014618556329D-05 -0.135394137498700D-05 -0.357948862513955D-04 -0.276636397672750D-04
3 0.202182016979082D-03 -0.382306332383069D-06 -0.320084097458594D-06 -0.887261624128964D-06 0.138328020437413D-05
4 -0.137641833741129D-03 -0.667102945644653D-06 -0.620618627039507D-06 0.164506004407617D-06 0.651631405812798D-06
5 -0.530404402536766D-04 -0.505214970641581D-07 -0.611742588608485D-06 0.477415826267116D-06 0.620307849865976D-06
6 -0.110474926063654D-04 0.153918794369926D-06 -0.276537195728238D-06 -0.359030239515192D-06 -0.266081185506962D-06
7 -0.105634674903822D-04 0.928279781805284D-07 -0.133810977431205D-06 0.117406290303369D-06 -0.209003718083271D-06
8 0.311526543050599D-04 0.366048038576706D-06 0.289677483700145D-06 0.895051737231057D-07 -0.146372661194868D-06
9 0.466495863544146D-05 0.568038769950531D-07 0.470713328715423D-07 0.971875658565188D-08 -0.122390974721364D-06

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@@ -0,0 +1,616 @@
subroutine DL1_2(ET,ks,iv,ELEM,XVE)
!********************************************************************
!* Semi-analytic theory of motion of Galilean satellites *
!* fitted to observations between 1891 and 2003 *
!* *
!* (Version 1.2) *
!* *
!*------------------------------------------------------------------*
!* L.Duriez (Luc.Duriez@imcce.fr) *
!* V.Lainey (lainey@oma.be) *
!* A.Vienne (vienne@imcce.fr) *
!* *
!* IMCCE - 77, Avenue Denfert-Rochereau 75014 Paris (France) *
!*__________________________________________________________________*
!* *
!* ET : Julian Day ie JD in the Terrestrial Time scale (TT) *
!* ET must be limited to dates between about *
!* years 1140 and 2760 *
!* ks : satellite number, from 1 (Io) to 4 (Callisto) *
!* iv : choice of output : *
!* 0 = orbital elements referred to the center of Jupiter in *
!* a fixed reference frame close to the jovian equatorial *
!* frame for J2000.0 epoch, *
!* 1 = cartesian jovicentric coordinates in the fixed *
!* celestial reference frame : mean equator and mean *
!* equinox for J2000.0 epoch. *
!* ELEM(6) : orbital elements output, in order : *
!* a, L, Re(z), Im(z), Re(zeta), Im(zeta) *
!* a in AU while other elements in rad *
!* XVE(6) : cartesian coordinates output, in order : *
!* x, y, z, vx, vy, vz *
!* x, y, z in AU and vx, vy, vz in AU/day *
!********************************************************************
!* 15/02/2006 *
!********************************************************************
implicit real*8 (a-h,o-z)
real*8 ampl(100,4,4),phas(100,4,4),freq(100,4,4),al(2,4)
real*8 elem(6),MU(4),XV(6),XVE(6),c(9,5,4),val(5),TN(0:8)
integer nbterm(4,4)
logical AccurateEphem
common /serL1/nbterm,T0,T1,T2,al,ampl,phas,freq,c,MU,ome,ainc
pi=4.d0*datan(1.d0)
pi2=pi*2.d0
AccurateEphem=.true.
T=ET-T0 ! (T0=2433282.5d0 => JD from 01/01/1950 at 0H00 (TT)
val=0.D0
*
* computing corrections to elements from Tchebycheff polynomials :
* These corrections represent very long period perturbations which
* are not computed in form of trigonometric terms but only approximated
* by Tchebycheff polynomials, hence limiting the interval of validity
* of ephemerides to about [-810,810] years centered on J1950.
*
* To compute approximate ephemerides at longer time, skip
* these corrections by giving a .false. value to AccurateEphem
*
if( AccurateEphem ) then
a= T1 ! -819.727638594856D0
b= T2 ! 812.721806990360D0
x=(T/365.25D0-0.5D0*(b+a))/(0.5D0*(b-a))
if(abs(x).gt.1.d0) then
write(*,*)'date',T,' out of interval of validity'
return
end if
TN(0)=1.D0
TN(1)=x
do it=2,8
TN(it)=2.D0*x*TN(it-1)-TN(it-2)
end do
do nv=1,5
do it=0,8
val(nv)=val(nv)+c(it+1,nv,ks)*TN(it)
end do
val(nv)=val(nv)-0.5D0*c(1,nv,ks)
end do
end if
*
* computing elements from series
*
kv=1
s=0.d0
do k=1,nbterm(ks,kv)
arg=phas(k,ks,kv)+freq(k,ks,kv)*T
s=s+ampl(k,ks,kv)*cos(arg)
end do
elem(1)=s
kv=2
s=al(1,ks) +al(2,ks)*T
do k=1,nbterm(ks,kv)
arg=phas(k,ks,kv)+freq(k,ks,kv)*T
s=s+ampl(k,ks,kv)*sin(arg)
end do
s=mod(s+val(1),pi2)
if(s.lt.0) s=s+pi2
elem(2)=s
kv=3
s1=0.d0
s2=0.d0
do k=1,nbterm(ks,kv)
arg=phas(k,ks,kv)+freq(k,ks,kv)*T
s1=s1+ampl(k,ks,kv)*cos(arg)
s2=s2+ampl(k,ks,kv)*sin(arg)
end do
elem(3)=s1+val(2)
elem(4)=s2+val(3)
kv=4
s1=0.d0
s2=0.d0
do k=1,nbterm(ks,kv)
arg=phas(k,ks,kv)+freq(k,ks,kv)*T
s1=s1+ampl(k,ks,kv)*cos(arg)
s2=s2+ampl(k,ks,kv)*sin(arg)
end do
elem(5)=s1+val(4)
elem(6)=s2+val(5)
*
* computing cartesian coordinates from elements
*
if(iv.EQ.1)then
call ELEM2PV(MU(ks),elem,XV)
*
* then transforming to cartesian coordinates in the
* J2000 mean equator and mean equinox reference frame
*
XVE(1)= XV(1)*DCOS(ome)-XV(2)*DSIN(ome)*DCOS(ainc)
& +XV(3)*DSIN(ainc)*DSIN(ome)
XVE(2)= XV(1)*DSIN(ome)+XV(2)*DCOS(ome)*DCOS(ainc)
& -XV(3)*DSIN(ainc)*DCOS(ome)
XVE(3)= XV(2)*DSIN(ainc)+XV(3)*DCOS(ainc)
XVE(4)= XV(4)*DCOS(ome)-XV(5)*DSIN(ome)*DCOS(ainc)
& +XV(6)*DSIN(ainc)*DSIN(ome)
XVE(5)= XV(4)*DSIN(ome)+XV(5)*DCOS(ome)*DCOS(ainc)
& -XV(6)*DSIN(ainc)*DCOS(ome)
XVE(6)= XV(5)*DSIN(ainc)+XV(6)*DCOS(ainc)
end if
return
end
***************************************************
subroutine INIT
!********************************************************************
!* Semi-analytic theory of motion of Galilean satellites *
!* fitted to observations between 1891 and 2003 *
!* *
!* (Version 1.2) *
!* *
!*------------------------------------------------------------------*
!* L.Duriez (Luc.Duriez@imcce.fr) *
!* V.Lainey (lainey@oma.be) *
!* A.Vienne (vienne@imcce.fr) *
!* *
!* IMCCE - 77, Avenue Denfert-Rochereau 75014 Paris (France) *
!*__________________________________________________________________*
!* *
!* Read all constants and series from the file GalileanL1.2.dat *
!* *
!* Caution : this file contains comments which are skipped *
!* by appropriate read instructions *
!* In case of problems in skipping the comments, use *
!* the subroutine INITbis below with the file BisL1.2.dat *
!* *
!********************************************************************
!* 15/02/2006 *
!********************************************************************
implicit real*8 (a-h,o-z)
character*188 ligne
real*8 ampl(100,4,4),phas(100,4,4),freq(100,4,4),al(2,4)
real*8 c(9,20),c3(9,5,4)
equivalence(c(1,1),c3(1,1,1))
real*8 dfr(100,4,4),dph(100,4,4)
integer nbterm(4,4),icomb(17,100,4,4)
real*8 phasc(100,4,4),freqc(100,4,4)
real*8 frq0(17),pha0(17)
real*8 MU(4),A0(4),masses(4) !,amu(4)
common /serL1/nbterm,T0,T1,T2,al,ampl,phas,freq,c,MU,ome,ainc
common /serL12/ frq0,pha0,phasc,freqc
common /axes/ A0 ,masses !,psi,aI
pi=4.d0*datan(1.d0)
*
* read the file GalileanL1.2.dat , skipping the comments
*
open(15,file='GalileanL1.2.dat')
read(15,'(a)') ligne ! 'Series for ephemerides ...'
read(15,*)
read(15,*) T0 ! 'T0 and Fundamental arguments ...'
do i=1,17
read(15,*) ii,pha0(i),frq0(i)
end do
read(15,*)
read(15,'(a)') ligne ! 'masses [G x (Jupiter + satellite) ...'
read(15,*) (MU(i),i=1,4)
read(15,*)
read(15,'(a)') ligne ! 'rotations ... '
read(15,*) ome, ainc
read(15,*)
read(15,'(a)') ligne ! 'amplitude (AU) ... '
read(15,*)
do ks=1,4
do kv=1,4
read(15,'(a)') ligne ! 'sat ...'
read(15,*) nbterm(ks,kv)
if (kv.EQ.2) then
read(15,'(a)') ligne
read(ligne(4:54),*) al(1,ks),al(2,ks)
end if
do nb=1,nbterm(ks,kv)
read(15,*)nnb,amp,phas(nb,ks,kv),freq(nb,ks,kv),ampkm,
& (icomb(k,nb,ks,kv),k=1,17),dfr(nb,ks,kv),dph(nb,ks,kv)
ampl(nb,ks,kv)=amp
500 format(i3,f20.16,2d22.14,17i4,2d12.3) !,f13.3,17i4,2d12.3)
end do
read(15,*)
end do
end do
read(15,*) T1,T2 ! 'T1, T2 (years) Tchebycheff polynomials...'
DO ks=1,4
read(15,'(a)') ligne ! 'satellite',ks
read(15,'(a)') ligne ! ' L','Re(z)','Im(z)', ...
do j=1,9
read(15,'(i3,5d25.15)') jj,(c3(j,kv,ks),kv=1,5)
end do
read(15,*)
ENDDO
close(15)
do i=1,4
A0(i)=ampl(1,i,1)
masses(i)=MU(i)
end do
*
* computing phases and frequencies from the integer combinations
* when such a combination is available
*
do ks=1,4
do kv=1,4
do nb=1,nbterm(ks,kv)
if(icomb(k,nb,ks,kv).ne. 99) then
sp=0
sf=0
do k=1,17
sp=sp+icomb(k,nb,ks,kv)*pha0(k)
sf=sf+icomb(k,nb,ks,kv)*frq0(k)
end do
phasc(nb,ks,kv)=sp
freqc(nb,ks,kv)=sf
end if
if(dph(nb,ks,kv).eq. 999.d0) then
phasc(nb,ks,kv)=phas(nb,ks,kv)
freqc(nb,ks,kv)=freq(nb,ks,kv)
end if
if(dfr(nb,ks,kv).eq. 999.d0) then
freqc(nb,ks,kv)=freq(nb,ks,kv)
end if
end do
end do
end do
return
end
***************************************************
subroutine INITbis
!********************************************************************
!* Semi-analytic theory of motion of Galilean satellites *
!* fitted to observations between 1891 and 2003 *
!* *
!* (Version 1.2) *
!* *
!*------------------------------------------------------------------*
!* L.Duriez (Luc.Duriez@imcce.fr) *
!* V.Lainey (lainey@oma.be) *
!* A.Vienne (vienne@imcce.fr) *
!* *
!* IMCCE - 77, Avenue Denfert-Rochereau 75014 Paris (France) *
!*__________________________________________________________________*
!* *
!* Read all constants and series from the file BisL1.2.dat *
!* *
!* *
!********************************************************************
!* 15/02/2006 *
!********************************************************************
implicit real*8 (a-h,o-z)
character*188 ligne
real*8 ampl(100,4,4),phas(100,4,4),freq(100,4,4),al(2,4)
real*8 c(9,20),c3(9,5,4)
equivalence(c(1,1),c3(1,1,1))
real*8 dfr(100,4,4),dph(100,4,4)
integer nbterm(4,4),icomb(17,100,4,4)
real*8 phasc(100,4,4),freqc(100,4,4)
real*8 frq0(17),pha0(17)
real*8 MU(4),A0(4),masses(4) !,amu(4)
common /serL1/nbterm,T0,T1,T2,al,ampl,phas,freq,c,MU,ome,ainc
common /serL12/ frq0,pha0,phasc,freqc
common /axes/ A0 ,masses
pi=4.d0*datan(1.d0)
*
* read the file BisL1.2.dat , same as GalileanL1.2.dat without comments
*
open(16,file='BisL1.2.dat')
read(16,'(D18.10)') T0
do i=1,17
read(16,'(i3,2D23.15)') ii,pha0(i),frq0(i)
end do
read(16,'(4D25.16)') (MU(i),i=1,4)
read(16,'(2D25.16)') ome, ainc
do ks=1,4
do kv=1,4
read(16,'(i3)') nbterm(ks,kv)
if (kv.EQ.2) then
read(16,'(2D25.16)') al(1,ks),al(2,ks)
end if
do nb=1,nbterm(ks,kv)
read(16,500)nnb,amp,phas(nb,ks,kv),freq(nb,ks,kv),
& (icomb(k,nb,ks,kv),k=1,17),dfr(nb,ks,kv),dph(nb,ks,kv)
ampl(nb,ks,kv)=amp
500 format(i3,f20.16,2d22.14,17i4,2d12.3)
end do
end do
end do
read(16,'(2D25.15)') T1,T2
DO ks=1,4
do j=1,9
read(16,'(i3,5d25.15)') jj,(c3(j,kv,ks),kv=1,5)
end do
ENDDO
close(16)
do i=1,4
A0(i)=ampl(1,i,1)
masses(i)=MU(i)
end do
*
* computing phases and frequencies from the integer combinations
* when such a combination is available
*
do ks=1,4
do kv=1,4
do nb=1,nbterm(ks,kv)
if(icomb(k,nb,ks,kv).ne. 99) then
sp=0
sf=0
do k=1,17
sp=sp+icomb(k,nb,ks,kv)*pha0(k)
sf=sf+icomb(k,nb,ks,kv)*frq0(k)
end do
phasc(nb,ks,kv)=sp
freqc(nb,ks,kv)=sf
end if
if(dph(nb,ks,kv).eq. 999.d0) then
phasc(nb,ks,kv)=phas(nb,ks,kv)
freqc(nb,ks,kv)=freq(nb,ks,kv)
end if
if(dfr(nb,ks,kv).eq. 999.d0) then
freqc(nb,ks,kv)=freq(nb,ks,kv)
end if
end do
end do
end do
return
end
***************************************************
subroutine DL1_2FRC(ET,ks,iv,ELEM,XVE)
!********************************************************************
!* Semi-analytic theory of motion of Galilean satellites *
!* fitted to observations between 1891 and 2003 *
!* *
!* Computes ephemerides from series where arguments are *
!* recomputed from the integer combination of fundamental *
!* arguments (when these combinations are available) *
!* *
!* *
!* (Version 1.2) *
!* *
!*------------------------------------------------------------------*
!* L.Duriez (Luc.Duriez@imcce.fr) *
!* V.Lainey (lainey@oma.be) *
!* A.Vienne (vienne@imcce.fr) *
!* *
!* IMCCE - 77, Avenue Denfert-Rochereau 75014 Paris (France) *
!*__________________________________________________________________*
!* *
!* ET : Julian Day ie JD in the Terrestrial Time scale (TT) *
!* ET must be limited to dates between about *
!* years 1140 and 2760 *
!* ks : satellite number, from 1 (Io) to 4 (Callisto) *
!* iv : choice of output : *
!* 0 = orbital elements referred to the center of Jupiter in *
!* a fixed reference frame close to the jovian equatorial *
!* frame for J2000.0 epoch, *
!* 1 = cartesian jovicentric coordinates in the fixed *
!* celestial reference frame : mean equator and mean *
!* equinox for J2000.0 epoch. *
!* ELEM(6) : orbital elements output, in order : *
!* a, L, Re(z), Im(z), Re(zeta), Im(zeta) *
!* a in AU while other elements in rad *
!* XVE(6) : cartesian coordinates output, in order : *
!* x, y, z, vx, vy, vz *
!* x, y, z in AU and vx, vy, vz in AU/day *
!********************************************************************
!* 15/02/2006 *
!********************************************************************
implicit real*8 (a-h,o-z)
real*8 ampl(100,4,4),phas(100,4,4),freq(100,4,4),al(2,4)
real*8 phasc(100,4,4),freqc(100,4,4)
real*8 elem(6),MU(4),XV(6),XVE(6),c(9,5,4),val(5),TN(0:8)
integer nbterm(4,4)
logical AccurateEphem
real*8 frq0(17),pha0(17)
integer icomb(17,100,4,4)
common /serL1/nbterm,T0,T1,T2,al,ampl,phas,freq,c,MU,ome,ainc
common /serL12/ frq0,pha0,phasc,freqc
pi = 4.d0*datan(1.d0)
pi2 = pi*2.d0
AccurateEphem = .true.
T=ET-T0 ! (T0=2433282.5d0 => jours juliens a partir du 01/01/1950 a 0H00 (TT)
val=0.D0
*
* computing corrections to elements from Tchebycheff polynomials :
* These corrections represent very long period perturbations which
* are not computed in form of trigonometric terms but only approximated
* by Tchebycheff polynomials, hence limiting the interval of validity
* of ephemerides to about [-810,810] years centered on J1950.
*
* To compute approximate ephemerides at longer time, skip
* these corrections by giving a .false. value to AccurateEphem
*
if( AccurateEphem ) then
a= T1 ! -819.727638594856D0
b= T2 ! 812.721806990360D0
x=(T/365.25D0-0.5D0*(b+a))/(0.5D0*(b-a))
if(abs(x).gt.1.d0) then
write(*,*)'date',T,' out of interval of validity'
return
end if
TN(0)=1.D0
TN(1)=x
do it=2,8
TN(it)=2.D0*x*TN(it-1)-TN(it-2)
end do
do nv=1,5
do it=0,8
val(nv)=val(nv)+c(it+1,nv,ks)*TN(it)
end do
val(nv)=val(nv)-0.5D0*c(1,nv,ks)
end do
end if
*
* computing elements from series
*
kv=1
s=0.d0
do k=1,nbterm(ks,kv)
arg=phasc(k,ks,kv)+freqc(k,ks,kv)*T
s=s+ampl(k,ks,kv)*cos(arg)
end do
elem(1)=s
kv=2
s=al(1,ks) +al(2,ks)*T
do k=1,nbterm(ks,kv)
arg=phasc(k,ks,kv)+freqc(k,ks,kv)*T
s=s+ampl(k,ks,kv)*sin(arg)
end do
s=mod(s+val(1),pi2)
if(s.lt.0) s=s+pi2
elem(2)=s
kv=3
s1=0.d0
s2=0.d0
do k=1,nbterm(ks,kv)
arg=phasc(k,ks,kv)+freqc(k,ks,kv)*T
s1=s1+ampl(k,ks,kv)*cos(arg)
s2=s2+ampl(k,ks,kv)*sin(arg)
end do
elem(3)=s1+val(2)
elem(4)=s2+val(3)
kv=4
s1=0.d0
s2=0.d0
do k=1,nbterm(ks,kv)
arg=phasc(k,ks,kv)+freqc(k,ks,kv)*T
s1=s1+ampl(k,ks,kv)*cos(arg)
s2=s2+ampl(k,ks,kv)*sin(arg)
end do
elem(5)=s1+val(4)
elem(6)=s2+val(5)
*
* computing cartesian coordinates from elements
*
if(iv.EQ.1)then
call ELEM2PV(MU(ks),elem,XV)
*
* then transforming to cartesian coordinates in the
* J2000 mean equator and mean equinox reference frame
*
XVE(1)= XV(1)*DCOS(ome)-XV(2)*DSIN(ome)*DCOS(ainc)
& +XV(3)*DSIN(ainc)*DSIN(ome)
XVE(2)= XV(1)*DSIN(ome)+XV(2)*DCOS(ome)*DCOS(ainc)
& -XV(3)*DSIN(ainc)*DCOS(ome)
XVE(3)= XV(2)*DSIN(ainc)+XV(3)*DCOS(ainc)
XVE(4)= XV(4)*DCOS(ome)-XV(5)*DSIN(ome)*DCOS(ainc)
& +XV(6)*DSIN(ainc)*DSIN(ome)
XVE(5)= XV(4)*DSIN(ome)+XV(5)*DCOS(ome)*DCOS(ainc)
& -XV(6)*DSIN(ainc)*DCOS(ome)
XVE(6)= XV(5)*DSIN(ainc)+XV(6)*DCOS(ainc)
end if
return
end
************************************************************
SUBROUTINE ELEM2PV(MU,ELEM,XV)
!********************************************************************
!* Semi-analytic theory of motion of Galilean satellites *
!* fitted to observations between 1891 and 2003 *
!* *
!* (Version 1.2) *
!* *
!*------------------------------------------------------------------*
!* L.Duriez (Luc.Duriez@imcce.fr) *
!* V.Lainey (lainey@oma.be) *
!* A.Vienne (vienne@imcce.fr) *
!* *
!* IMCCE - 77, Avenue Denfert-Rochereau 75014 Paris (France) *
!*__________________________________________________________________*
!* *
!* Convert orbital elements to cartesian coordinates *
!* in the same frame *
!* *
!* MU : gravitationnal constant of the keplerian motion *
!* Here, values are in UA^3 / day^2 *
!* ELEM(6) : orbital elements input, in order : *
!* a, L, Re(z), Im(z), Re(zeta), Im(zeta) *
!* a in AU while other elements in rad *
!* XVE(6) : cartesian coordinates output, in order : *
!* x, y, z, vx, vy, vz *
!* x, y, z in AU and vx, vy, vz in AU/day *
!********************************************************************
!* 15/02/2006 *
!********************************************************************
*
* given at time t :
* x \ / a semi-major axe
* y | mu | L mean longitude (= OMEGA+omega+M)
* z | /-----\ | k e cos(OMEGA+omega)
* vx | \-----/ | h e sin(OMEGA+omega)
* vy | | q sin(i/2) cos(OMEGA)
* vz / \ p sin(i/2) sin(OMEGA)
*
* mu is the gravitational constant of keplerian elliptic motion (focus F)
* a is the semi-major axe
* M is the mean anomaly at time t
* (M=n(t-to) with n mean osculating motion such as n^2a^3=mu
* and to time of passage at pericentre)
* e is the eccentricity
* i is the inclination of orbital plane on Fxy plane
* OMEGA is the longitude of ascending node on Fxy plane
* omega is the argument of pericentre such as
* OMEGA + omega represents the longitude of pericentre
* and L (= OMEGA+omega+M) repr<70>sents the mean longitude
*
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
PARAMETER(PI2=3.141592653589793D0*2.d0)
DOUBLE PRECISION MU,K
DIMENSION XV(6),ELEM(6),G(3),E(3)
K=ELEM(3)
H=ELEM(4)
Q=ELEM(5)
P=ELEM(6)
A=ELEM(1)
AL=ELEM(2)
AN=DSQRT(MU/A**3.D0)
EE=AL+K*DSIN(AL)-H*DCOS(AL)
20 CONTINUE
CE=DCOS(EE)
SE=DSIN(EE)
DE=(AL-EE+K*SE-H*CE)/(1.D0-K*CE-H*SE)
EE=EE+DE
IF (ABS(DE).GE.1.D-12) GOTO 20
CE=DCOS(EE)
SE=DSIN(EE)
DLE=H*CE-K*SE
RSAM1=-K*CE-H*SE
ASR=1.D0/(1.D0+RSAM1)
PHI=DSQRT(1.D0-K*K-H*H)
PSI=1.D0/(1.D0+PHI)
X1=A*(CE-K-PSI*H*DLE)
Y1=A*(SE-H+PSI*K*DLE)
VX1=AN*ASR*A*(-SE-PSI*H*RSAM1)
VY1=AN*ASR*A*( CE+PSI*K*RSAM1)
F2=2.D0*DSQRT(1.d0-Q*Q-P*P)
P2=1.D0-2.D0*P*P
Q2=1.D0-2.D0*Q*Q
PQ=2.D0*P*Q
XV(1)=X1*P2+Y1*PQ
XV(2)=X1*PQ+Y1*Q2
XV(3)=(Q*Y1-X1*P)*F2
XV(4)=VX1*P2+VY1*PQ
XV(5)=VX1*PQ+VY1*Q2
XV(6)=(Q*VY1-VX1*P)*F2
RETURN
END

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@@ -0,0 +1,8 @@
This FORTRAN code came from:
https://ftp.imcce.fr/pub/ephem/satel/galilean/L1/L1.2/
IMCCE - Observatoire de Paris
77 avenue Denfert Rochereau
F-75014 PARIS

View File

@@ -0,0 +1,122 @@
PROGRAM TESTL1_2
!********************************************************************
!* Semi-analytic theory of motion of Galilean satellites *
!* fitted to observations between 1891 and 2003 *
!* *
!* (Version 1.2) *
!* *
!*------------------------------------------------------------------*
!* L.Duriez (Luc.Duriez@imcce.fr) *
!* V.Lainey (lainey@oma.be) *
!* A.Vienne (vienne@imcce.fr) *
!* *
!* IMCCE - 77, Avenue Denfert-Rochereau 75014 Paris (France) *
!*__________________________________________________________________*
!* *
!* Example of monitor for computing ephemerides *
!* using the subroutine DL1_2(ET,nsat,iv,ELEM,XVE) : *
!* *
!* *
!* ET : Julian Day ie JD in the Terrestrial Time scale (TT) *
!* ET must be limited to dates between about *
!* years 1140 and 2760 (these limits concern accurate *
!* ephemerides, else see comments in the subroutine DL1_2) *
!* *
!* nsat: satellite number, from 1 (Io) to 4 (Callisto) *
!* *
!* iv : choice of output : *
!* 0 = orbital elements referred to the center of Jupiter in *
!* a fixed reference frame close to the jovian equatorial *
!* frame for J2000.0 epoch, *
!* 1 = cartesian jovicentric coordinates in the fixed *
!* celestial reference frame : mean equator and mean *
!* equinox for J2000.0 epoch. *
!* *
!* To compute geocentric ephemerides (and other), add the *
!* Earth-Jupiter vector given by DE406 *
!* *
!* ELEM(6) : orbital elements output : *
!* a, L, Re(z), Im(z), Re(zeta), Im(zeta) *
!* *
!* XVE(6) : cartesian coordinates output : *
!* x, y, z, vx, vy, vz *
!********************************************************************
!* 15/02/2006 *
!********************************************************************
implicit real*8 (a-h,o-z)
parameter(ua=149597870.691d0) !! UA value, from DE406
real*8 ELEM(6),XVE(6),ELEM1(6),XVE1(6)
real*8 axkm(4),fc(6),A0(4),MU(4),AN(4)
common /axes/ A0,MU
pi=4*atan(1.D0)
pi2=2*pi
*
* reading the series L1.2 from BisL1.2.dat :
*
call INITbis
*
* OR reading the series L1.2 from GalileanL1.2.dat :
*
* call INIT
do i=1,4
axkm(i)= A0(i)*ua
AN(i)=DSQRT(MU(i)/A0(i)**3.D0)
end do
open(12,file='TestL1.2.res')
write(12,*)'semi-major axes in km '
write(12,*) axkm
write(12,*)'mean motions in rad/day '
write(12,*) AN
write(12,*)'periods in days '
write(12,*) (pi2/AN(i),i=1,4)
write(12,*)
!* ELEM(6) : orbital elements in order :
!* a, L, Re(z), Im(z), Re(zeta), Im(zeta)
!* a in AU while other elements in rad
!* XVE(6) : cartesian coordinates output, in order :
!* x, y, z, vx, vy, vz
!* x, y, z in AU and vx, vy, vz in AU/day
ET0=2451545.0d0
pas=12.345d0
write(12,*)'positions velocities (in AU and AU/day) :'
iv=1
do nsat=1,4
write(12,*)'satellite',nsat
do k=-2000,2000,400
ET=ET0+k*pas
CALL DL1_2(ET,nsat,iv,ELEM,XVE)
write(12,'(f14.3,6d20.10)') ET,((XVE(i)),i=1,6)
end do
end do
write(12,*)
write(12,*)'differences on elements (in km) :'
iv=0
do nsat=1,4
write(12,*)'satellite',nsat
fc(1)=ua
do i=2,6
fc(i)=axkm(nsat)
end do
do k=-2000,2000,400
ET=ET0+k*pas
CALL DL1_2(ET,nsat,iv,ELEM,XVE)
CALL DL1_2FRC(ET,nsat,0,ELEM1,XVE1)
write(12,'(i8,6f20.6)') k,((ELEM1(i)-ELEM(i))*fc(i),i=1,6)
end do
end do
close(12)
stop
end
include 'L1.2.f'

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@@ -0,0 +1,106 @@
semi-major axes in km
422029.9558505036 671261.1680214851 1070621.011121078 1883133.525284632
mean motions in rad/day
3.547107064991332 1.768264377426076 0.8778944470559955 0.3763306844621929
periods in days
1.771354851166563 3.553306500652084 7.157107928236868 16.69591549825061
positions velocities (in AU and AU/day) :
satellite 1
2426855.000 0.2271527767D-02 0.1491984142D-02 0.7501112163D-03 -0.5895653255D-02 0.7343188303D-02 0.3402858909D-02
2431793.000 -0.6886222733D-03 0.2480736131D-02 0.1173372992D-02 -0.9671363222D-02 -0.2149917260D-02 -0.1180235208D-02
2436731.000 -0.2785015103D-02 0.3458814894D-03 0.1216517377D-03 -0.1283601882D-02 -0.8987840342D-02 -0.4308877349D-02
2441669.000 -0.1335285599D-02 -0.2234056443D-02 -0.1084018241D-02 0.8797690289D-02 -0.4367393709D-02 -0.1944198817D-02
2446607.000 0.1799461321D-02 -0.1982382810D-02 -0.9148159847D-03 0.7685073077D-02 0.5696116417D-02 0.2836845015D-02
2451545.000 0.2671998720D-02 0.7644016540D-03 0.4087343813D-03 -0.3116203721D-02 0.8645680627D-02 0.4066210829D-02
2456483.000 0.1406341162D-03 0.2540389886D-02 0.1215521140D-02 -0.9995825716D-02 0.5521317003D-03 0.9964566045D-04
2461421.000 -0.2561900148D-02 0.1099271609D-02 0.4839890563D-03 -0.4213619646D-02 -0.8135274771D-02 -0.3949904112D-02
2466359.000 -0.2042814470D-02 -0.1728323019D-02 -0.8552022274D-03 0.6911529130D-02 -0.6624839387D-02 -0.3054016461D-02
2471297.000 0.1080489388D-02 -0.2358409938D-02 -0.1105240761D-02 0.9261663970D-02 0.3372724522D-02 0.1753380671D-02
2476235.000 0.2828846240D-02 -0.4757698706D-05 0.4397441080D-04 -0.7358945182D-04 0.9009323928D-02 0.4287904617D-02
satellite 2
2426855.000 0.4446764182D-02 -0.7426573305D-03 -0.2415755074D-03 0.1300494299D-02 0.7010456864D-02 0.3369039462D-02
2431793.000 -0.4496513177D-02 -0.6633333248D-05 -0.3660517967D-04 -0.3629219099D-04 -0.7156796604D-02 -0.3386653326D-02
2436731.000 0.4408177665D-02 0.4698550955D-03 0.3281746178D-03 -0.1037614529D-02 0.7163255574D-02 0.3427658713D-02
2441669.000 -0.4354707945D-02 -0.1060105876D-02 -0.5414009224D-03 0.2128308264D-02 -0.6885963329D-02 -0.3201888138D-02
2446607.000 0.4059620485D-02 0.1710337078D-02 0.9044101330D-03 -0.3336252437D-02 0.6480509387D-02 0.3090527106D-02
2451545.000 -0.3751376363D-02 -0.2136181405D-02 -0.1056765926D-02 0.4310590286D-02 -0.6143197914D-02 -0.2800433389D-02
2456483.000 0.3438637708D-02 0.2613676534D-02 0.1313674687D-02 -0.5147284797D-02 0.5398552812D-02 0.2560664504D-02
2461421.000 -0.2855282455D-02 -0.3120456385D-02 -0.1527349889D-02 0.6069323070D-02 -0.4651605441D-02 -0.2051295361D-02
2466359.000 0.2370930670D-02 0.3377684150D-02 0.1648131207D-02 -0.6784019170D-02 0.3861584653D-02 0.1802280388D-02
2471297.000 -0.1871502788D-02 -0.3694401783D-02 -0.1800444526D-02 0.7195297778D-02 -0.2978344409D-02 -0.1232176327D-02
2476235.000 0.1109735691D-02 0.3931669823D-02 0.1875585648D-02 -0.7656430475D-02 0.1852698581D-02 0.8226894586D-03
satellite 3
2426855.000 -0.3776654636D-02 -0.5473158070D-02 -0.2659709046D-02 0.5336530924D-02 -0.3022451611D-02 -0.1339037404D-02
2431793.000 0.4272357221D-02 -0.5219062766D-02 -0.2395570278D-02 0.5038909657D-02 0.3357915003D-02 0.1669528408D-02
2436731.000 0.6918149398D-02 0.1635662157D-02 0.8680892225D-03 -0.1624371480D-02 0.5492773318D-02 0.2569959167D-02
2441669.000 0.8471345317D-03 0.6419261228D-02 0.3051764921D-02 -0.6237247865D-02 0.6950416261D-03 0.2501269046D-03
2446607.000 -0.6293575391D-02 0.3098587614D-02 0.1399091537D-02 -0.2983877973D-02 -0.4982578870D-02 -0.2402941595D-02
2451545.000 -0.5490036250D-02 -0.4112229248D-02 -0.2033821278D-02 0.4036147912D-02 -0.4364866691D-02 -0.2037111499D-02
2456483.000 0.2236146010D-02 -0.6130343184D-02 -0.2903801706D-02 0.5975330196D-02 0.1750879211D-02 0.9233666408D-03
2461421.000 0.7125480536D-02 -0.4013803568D-03 -0.7795768824D-04 0.3557745929D-03 0.5668571415D-02 0.2724609633D-02
2466359.000 0.2991525641D-02 0.5840149267D-02 0.2845972149D-02 -0.5704263448D-02 0.2422519663D-02 0.1052797166D-02
2471297.000 -0.4937423317D-02 0.4712096165D-02 0.2149646841D-02 -0.4554109427D-02 -0.3874984702D-02 -0.1929002929D-02
2476235.000 -0.6642067401D-02 -0.2374459282D-02 -0.1250108202D-02 0.2339135125D-02 -0.5280921340D-02 -0.2455264319D-02
satellite 4
2426855.000 0.4101924152D-02 -0.1067516239D-01 -0.5034929933D-02 0.4504666024D-02 0.1404917271D-02 0.7158983479D-03
2431793.000 -0.4986019528D-02 -0.1037856813D-01 -0.4994643406D-02 0.4373102006D-02 -0.1696597622D-02 -0.7569587622D-03
2436731.000 -0.1148138504D-01 -0.4696092895D-02 -0.2376111456D-02 0.1994381848D-02 -0.3874188816D-02 -0.1816542687D-02
2441669.000 -0.1213643407D-01 0.3374929866D-02 0.1437454080D-02 -0.1354205854D-02 -0.4062009363D-02 -0.1947041015D-02
2446607.000 -0.6677623740D-02 0.9751992150D-02 0.4527540014D-02 -0.4014090133D-02 -0.2206534414D-02 -0.1102946674D-02
2451545.000 0.2172082907D-02 0.1118792302D-01 0.5322275059D-02 -0.4662583659D-02 0.7976685330D-03 0.3092058747D-03
2456483.000 0.9907908026D-02 0.6850097528D-02 0.3379920526D-02 -0.2893977422D-02 0.3442024746D-02 0.1581163512D-02
2461421.000 0.1244810129D-01 -0.1078968567D-02 -0.3238350391D-03 0.4161093977D-03 0.4296743185D-02 0.2031027781D-02
2466359.000 0.8447454966D-02 -0.8442957477D-02 -0.3849802700D-02 0.3491790341D-02 0.2896134654D-02 0.1414107581D-02
2471297.000 0.7301099508D-04 -0.1142729979D-01 -0.5370459356D-02 0.4722170611D-02 0.2536716696D-04 0.8081617269D-04
2476235.000 -0.8338443776D-02 -0.8592422281D-02 -0.4158666703D-02 0.3547255662D-02 -0.2817053480D-02 -0.1270664537D-02
differences on elements (in km) :
satellite 1
-2000 -0.018001 3.544661 0.011304 -0.057221 0.007766 0.009412
-1600 0.036985 -0.586491 0.490806 0.835688 0.008268 0.010348
-1200 -0.008195 4.744981 0.596265 -0.741816 0.009124 0.009676
-800 0.011740 2.746259 0.051710 0.081137 0.008369 0.009039
-400 0.017153 -1.529677 -0.012797 -0.959154 0.008009 0.009892
0 -0.001365 4.956955 -0.723688 0.400470 0.008978 0.010050
400 0.020092 1.108740 0.114865 -0.070119 0.008977 0.009068
800 0.000589 -2.010172 -0.270030 0.926031 0.008132 0.009291
1200 0.018890 4.727251 0.894277 -0.003762 0.008603 0.009954
1600 0.003940 -0.500311 -0.045009 0.032214 0.009160 0.009351
2000 0.011926 -2.300941 0.735765 -0.733108 0.008553 0.008864
satellite 2
-2000 0.209173 1.969283 -0.598791 1.494495 -0.069538 0.039854
-1600 -0.884155 -15.211184 0.663841 0.729774 -0.046984 -0.020981
-1200 -0.776447 -4.988354 -6.268645 4.920519 0.015526 0.019316
-800 0.274858 1.677366 -4.434434 -1.724590 -0.051387 0.044400
-400 -1.173841 3.593123 -6.444353 -1.994375 -0.062799 -0.013847
0 -0.334946 1.623767 1.778933 -3.564599 0.013359 0.000213
400 -0.256237 -0.359252 -1.979056 1.554256 -0.024127 0.050947
800 -0.657796 -4.994067 0.160249 3.223961 -0.072095 -0.008034
1200 -0.806518 -9.538682 -8.295411 1.822776 -0.001801 -0.013439
1600 0.098986 6.990566 -3.440470 -1.277623 -0.000914 0.044281
2000 -0.868847 3.867430 -4.936437 -4.342823 -0.071174 0.005158
satellite 3
-2000 -0.567857 -12.233309 -0.176996 3.027248 -0.446775 0.144648
-1600 -2.048490 7.747195 -5.564658 0.118262 -0.194293 0.106501
-1200 1.068560 -13.940598 -0.905828 3.913737 -0.292885 -0.108432
-800 3.246123 23.273137 -6.346051 -1.949534 -0.450450 0.044667
-400 0.189328 -21.214639 -3.251306 2.650451 -0.249634 0.141180
0 -0.098841 14.701955 -6.502749 -2.963227 -0.215568 -0.080802
400 0.073741 -11.631384 -4.349560 4.235522 -0.435109 -0.040956
800 -2.775600 13.032102 -5.689234 -1.827423 -0.318330 0.160452
1200 -0.378163 -15.645176 -5.207530 4.150663 -0.144945 -0.026653
1600 3.521861 12.883071 -4.137012 -4.023098 -0.382408 -0.155970
2000 0.942825 -13.329372 -5.387147 1.448054 -0.443227 0.122233
satellite 4
-2000 -2.360787 7.025334 -11.953306 9.691161 -0.004411 0.003791
-1600 -2.337120 -14.983301 100.442630 7.040692 -0.001275 0.006087
-1200 -1.215641 18.567679 -3.353069 -36.556318 0.001980 0.006326
-800 -1.124796 -20.349624 75.304348 47.289702 0.004986 0.004480
-400 -0.206878 15.639655 45.028057 -60.711753 0.006606 0.001613
0 -0.206050 -9.850887 22.647942 45.312199 0.005895 -0.002636
400 0.089179 1.638821 91.232829 -29.256550 0.002995 -0.004184
800 -0.249307 8.104435 -0.467350 3.362058 0.000085 -0.005831
1200 -0.402786 -14.031942 94.380238 19.670806 -0.004549 -0.003154
1600 -1.006512 20.131880 16.174008 -40.912016 -0.004466 -0.000429
2000 -1.705557 -20.322942 56.148247 58.895139 -0.006220 0.003343