ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAEAFAGAHAIAJAKALAMANAOAPAQARASATAUAVAWAXAYAZBABBBCBDBEBFBGBHBIBJBKBLBMBNBOBPBQBRBSBTBUBVBWBXBYBZCACBCCCDCECFCGCHCICJCKCLCMCNCOCPCQCRCS
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Input
Angular size of Moon
Angular size of SunApproximate Sun Distance in KMis eclipse?s1.030181345151325577.2cos d0.9999999932
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Year2017Decimal Degrees0.5429542160.527047222151325577.21.0115490051.97Longitude85108.444810.530.0079534970366441.5UT Decimal17.75245798702457986.523725.6594u42.724972870.006679432415y0.3473524140.0001165780868sin(ap dec)0.20565019860.2102847664Delta Alt0.2428716426y0.34766841840.17637892970.0001165780868
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month8Lunar Distance in KM0.271477108V148.4448138F1.0301813450.176358658517.79859788151284433.223719.20861p*sin(theta')0.6762049812x-0.46326785890.9999999932sin(latitude)0.67970890450.6797089045Delta Az-0.2077770304x-0.46683199630.17637892970.9999999932
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day21Minutes3231366808.33060.0024519622430.263523611Latitude (U)0.38933963641.00000.08181921805429.967209239.76580708
Distance Radii
58.32412664p*cos(theta')0.7346189435tan A-0.7391173422-36.468749270.006679432371sin(altitude)0.81066406770.8131387078-49.45296556tan A north-0.744739909-36.67652630.1763789297
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hour (UT)17Seconds34370.1691153017Distance ( R )371999.5081371999.4451Robs6389.356344171366808.3306Obs Dis Radii57.51023506delta-0.2627484202apparent RA150.9983649150.9983649143.53125070.006679432371cos(ap dec)0.97862556470.9776401777130.5470344
Facing away from horizon
Facing towards horizon
143.32347370.1763789297
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minute450.2181669391Aberration Corrected21.9672092GST15.765807087.088012667sin(alt north)0.8131387078apparent Dec11.8675636912.1390408143.53125070.006679432371cos(latitude)0.73348197330.73348197333.75867559949.45296556310.5470344130.547034400143.32347370.1763789297
Facing Away Southern
Facing Toward Southern
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second0Moon-Sun Separation0.01Angular Diameter of Earth From Moon1.962537064Delta V-0.0002000755299V148.4446138148.4420959T021.9672092LST8.677794416cos(az north)-0.80202042Alt North54.4037351Az North143.32347370.01110026437143.53125070.006679432371
cos(ap hr ang)
0.93463062340.9346306234-1.388763245-20.83144868339.1685513130.547034401143.32347370.176378929700
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W Longitude (Decimal deg)106.32019Solar Eclipse OccurringYesFraction of Earth Visible From Moon0.4915810035Delta U-0.00001753999374U0.3893220964Hour Angle22.62875332Hour Degrees339.4312997sin(altitude)0.8106640677altitude54.1608634654.16086346Refraction0.0111002643754.17196372cos(alt)0.5855115450.5820699631
Orientation of crescent relative to horizon
183.7586756183.7586756183.75867563.7586755993.7586755990.176378929700
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Latitude (Decimal deg) (N+, S-)42.8209Eclipse Magnitude1.0302Moon Shadow RA Direction330.76237260.4774337275Delta R-0.06298831802R371999.4451Sv4.610171355Sv''-0.6295900462cos(azimuth)-0.8041811741143.5312507sin H-0.3556200189143.5312507Sv'4.386036115
Position-Angle of Illuminated Portion
53.211641160.1763789297
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Height above sea level (meters)0
Diameter of Moon's Umbral Shadow (km)
112.931448Moon Shadow Dec Direction-11.95416891-0.8521150092Mean Equatorial CoordinateseA23.4369870823.4350071515.5927978271-0.340666799426-0.002024938946510.0003102314115760.0002115928231010.0001242833624126-0.0000810197266912.381648901410.0352603924281-0.01543994371121-0.0066850488651610.0055194741992010.00045009211580.1763789297HighMed
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Pressure (mb)1013.25Diameter of Earth's Umbral Shadow (km)9289.878619Earth RA From Moon330.4990102-29.26158685RA (degrees)150.7384131kappa12-1.2340724862-0.1208219885270.0005977685009520.000293424882777-0.0001413757852102-0.000154459772127-0.000107682706921.15584268842-0.01262484358820.01294498488122-0.0090334622421620.005943270088202-0.0028699290030.1763789297Sv4.6101460754.611295399Su=0.3905824988a0a1a2a3a4Su'=-1.234043497a0a1Su''=-0.04997613489a0a1Su'''=-1.340419353a0a1Sr-12999.57166a0a1a2a3a4Sr'-1.417768837a0a1Sr''-0.4107542493Sr'''-11.64801088
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Temperature (Centigrade)25Moon Longitude-85.75148974Earth Dec From Moon-12.46438795150.7384131Dec (degrees)12.37891811cos eA0.91749805710.9175118013-0.14614499243-0.0993787238428-0.001749473825530.0004552257932780.0002337742885103-0.000072810345131280.000051238832663-0.0810688529343-0.00702107083183-0.0021276217021230.007555757446163-0.004864312022203-0.0038182230.1763789297a0a1a2a3a415.12812186-0.0065620793993.2720993483202.0175-34.029-0.2840.1161-2.23474-1.318867548218.3174481267.88131-0.02064-0.01783075376144.899371333.1551-0.61-0.5269268659144.9371333.21-20905.355-9559.290265134.9634114477198.867689.9714.348-6.79711.0587-1.023618801233.0866479264.289810.514-0.2583213266238.171854535.173114.9-7.49589238238.2854535.2
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Moon Latitude12.37882389Horizontal Displacement-0.1341949043150.7384131RA (Hours)10.04922754sin eA0.39774026090.397708555440.173739911340.02805043801290.000642213610754-0.0004456244185790.00026026002111040.0001180741077129-0.000108616655240.2430099644-0.01431892655840.004453102628124-0.0094496203681640.0012548512012040.0036101461790.176378929716.288773835.592797828134.9634114477198.867689.9714.348-6.79720.280601960.2493834645228.2355107960400.885255.94114.064-6.68120.4195-0.3642607202314.9967481266.484420.00845-0.004755633872139.957443331.25620.25-0.1408822504140443331.32-3699.1109-918.944433100.736997413335.3554-122.571-10.6845.02820.72780.1236366353344.7895-477067.018820.38250.2061831865103.208377336.305211.15.984804457103.2377336.3
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Lunar CoordinatesVertical Displacement0.2599793158150.7384131Delta v-0.002517824112sin V0.52332254390.523359989950.13539192425-0.07203673717300.001452024238550.0002912165031800.0002569248229105-0.00008907693665130-0.000078280032145-0.227831105545-0.02106135767850.011195463111250.007693794419165-0.005567065779205-0.0038999066120.176378929721.27401064-1.234072486100.736997413335.3554-122.571-10.6845.02830.277692660.247122811741.6913121-6003.149896123.99914.631-6.91330.17510.1055367473213.0248483333.86643-0.00619-0.005209441523196.48860538.3233-0.17-0.1471417936331.41337737.23-2955.9676-2882.206046235.7004084890534.223-32.6013.664-1.7693-0.68260.6145581217254.719477330.716530.3265-0.3141866403222.566-441199.81739.5-9.143391529222.6-441199.8
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Apparent Right Ascension at Equinox of dateApparent Right Ascension (J2000.0)-27.30166601Delta e-0.001979927827cos V-0.8521346813-0.852111683460.0002926044656-0.0549042098231-0.00124089925156-0.000233397058381-0.00001409713479106-0.00004618196014131-0.0000833074468660.215736052646-0.002265740948860.0086217181711260.00892381948166-0.000074920378672060.0035385403270.176378929730.65830943-0.1461449925235.7004084890534.223-32.6013.664-1.76940.17323679-0.03824246786142.4283091407332.20551.4293.948-1.88540.175040.105143808126.4804-483070.16874-0.00555-0.004801745002331.4431337737.194-0.17-0.1430958287196.5860538.34-569.9251331.5922075269.9268228954397.7353179.94128.695-13.59440.5983-0.5455370858345.2589480890.68394-0.264-0.08939434199132.493513197.9184-7.7-2.607818667132.5513197.9
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Hours10Hours10-27.301666010.4774754915Vt148.442296sin U0.0067949001450.0067949001457-0.0390305081470.009468137376320.000729952395957-0.0003271542157820.00024232695311070.000149263511320.000050633590677-0.08937814475470.0293858935187-0.009507830993127-0.0056080509191670.0055421755322070.0034298339270.176378929740.213618250.1737399112269.9268228954397.7353179.94128.695-13.59450.05541215-0.05369264052194.0090963896537.3729-156.6-10.9675.14450.126630.125085558883.3544069.01375-0.00519-0.0043750112519.936-105865.7125-0.14-0.11797115779.9-105865.75246.1585-184.0911484325.7735856-63863.51223-212.541-25.03111.8265-0.45650.4078460266260.0092475264.73145-0.1230.08388122955357.52935999.055-3.62.455987635357.535999.1
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Minutes3Minutes3332.698334-0.8520920119Vt+Delta V148.4420959Cos U0.99997691440.999976914480.048064858488-0.00956076512833-0.0005695054758-0.0000183865551583-0.00001378262226108-0.000098923793281330.0000813293013380.07341471952480.00396215199880.01008869002128-0.008802443989168-0.001214407831208-0.0022435948510.17637892975-0.185115860.1353919242357.529109235999.05029-1.5360.041060.04627058-0.044805327277.4648977-69866.66213-88.542-10.44.9136-0.115480.05174354725353.2808958466.74960.004710.001275500462129.294-924401.83560.14-0.102280010790.8519201.16-204.586102.8194092238.1712992854535.1727-31.0653.623-1.76960.45280.06992796142350.0824-479133.00386-0.07750.06411619529233.23926533.2736-2.31.903372146233.2926533.3
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Seconds59.61Seconds2.95Position Angle332.698334-29.2643835True Equatorial Coordinatestan U0.0067950570130.00679505701390.0408240469690.00815896843334-0.0007933900934590.000382416571184-0.0002390836381090.000005323940802134-0.00000185879633390.151160755490.0139787730189-0.013200441451290.0028641360211690.0035235598732090.0029612448440.17637892976-0.114332130.000292604552186.5441986966404.0351-68.058-0.5670.23270.03257241-0.007271724334328.97250771373736.241-66.633.38-1.65370.090620.0532935751631.7733-485136.153770.00451-0.00329462785990.801519201.06870.140.0378843306129.3-924401.87-170.7331-109.830309810.66381981367733.09157.3718.011-8.5667-0.4101-0.3380299577208.6847476229.38417-0.06070.0532872850598.266449334.4067-1.81.58067841398.3449334.4
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p35.23877583150.7356165RA (degrees)150.7356165100.03955931191100.0107583916535-0.000889981745960-0.000324900695285-0.00019977737951100.0000517123744135-0.0000981653525210-0.156221602450-0.02647897686900.013816473781300.0089097877191700.001291051036210-0.0022234739860.176378929770.05879321-0.0390305081325.7735856-63863.51223-212.541-25.03111.82680.017197760.014000067843.19892211437599.753145.91128.411-13.47980.082930.03285883668342.617-409266.341780.003940.001076682095315.83842002.280.11-0.1035307021225.8996399.98-152.1377-82.00950886103.2078878377336.3051-121.035-10.7245.02880.205-0.1448999426192.2132-857569.755980.0497-0.01439216973240.642818536.12281.4-0.4064861361240.6818536.1
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Apparent Declination at Equinox of dateApparent Declination (J2000.0)Shadow Center Point Longitude (Approximate)106.7955025150.7356165Dec (degrees)12.37882389Precession11-0.01113289939110.01038456456360.0008561136771610.00012116442886-0.0001961415611110.0001390504645136-0.00000394985736211-0.06156139631510.0201872097991-0.01394576975131-0.0009990983977171-0.004160830429211-0.0010827798830.176378929780.057065510.04806485845103.2078878377336.3051-121.035-10.7245.02890.009265890.007101823144277.3917205884531.073191.39918.295-8.6829-0.02319-0.02153396218319.0544894603.236790.00372-0.003501852049225.765996399.93590.11-0.103467758639.229995.99-129.6201124.7313131222.5656978-441199.8173-91.506-14.3076.79790.2047-0.1867604851244.0516-890402.374290.0419-0.03181843411295.379481266.16291.2-0.9108901988295.4481266.2
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Degrees11Degrees11Shadow Center Point Latitude (Approximate)42.52274203150.7356165RA (Hours)10.0490411zetaA0.11299381960120.003878076777120.00185516488737-0.000488985555262-0.00007052917304870.00003361659842112-0.000065623250341370.00007617098532120.1348619776520.00971215297992-0.08769224677132-0.008935890386172-0.0041390221142120.0021783395620.176378929790.053321170.0408240469710.66381981367733.09157.3718.011-8.566100.008822130.007168637289176.6547234471195.7177213.9728.979-13.71100.02234-0.02127840466343.3612479333.7452100.00362-0.00135459029252.758481266.484100.11-0.08059735054264.3-44720310108.7427108.0621947297.8502042445267.1115-16.31.832-0.88410-0.20370.1314300269355.4532890666.0719100.0322-0.0321570499913.1351331734.04100.9-0.898833400213.11331734
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Minutes52Minutes57zA0.11300067050130.02858855036130.000523699082338-0.00066598295630.000313166000988-0.00005661389713113-0.000117370408138-0.0000793060689913-0.07004164003530.02457698411930.0052377324381330.0086148023451730.0034569024242130.00014159580780.1763789297100.045757920.03955931191238.1712992854535.1727-31.0653.623-1.769110.008215720.007097486042144.8991999371333.15522.9643.907-1.88511-0.02154-0.001529750255178.48564067.6167110.00355-0.00333876588339.2229995.9110.110.03012982369315.842002.211104.755235.47130002132.4925206513197.917988.43414.388-6.797110.1664-0.1565873856287.6902-845497.337411-0.0253-0.02518738581328.244-99862.56311-0.7-0.6968257436328.2-99862.6
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Seconds3.23Seconds12.05ThetaA0.09819574813014-0.003364334232140.006635922251390.0007476507556640.0003126963303890.00018248494761140.00010861714531390.00008074833245140.05922143689540.02501820137940.012492503821340.004183990101174-0.004491655716214-0.0022453667390.176378929711-0.04092258-0.01113289939222.5656978-441199.8173-91.506-14.3076.797120.00432396-0.002874643172232.5014863-547065.5298-178.512-24.74811.71120.02037-0.01294226157117.580467932.5259120.00338-0.002475043605264.257-447202.96712-0.060.05746021047147.4335334.11279.660636.24458788308.4192127-489205.1674158.02914.915-7.02912-0.15780.1528908737241.4058477178.6814120.0249-0.02449259816105.679341337.255120.7-0.6884831582105.7341337.3
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N15-0.01112654087150.000566754901240-0.000744643388865-0.000260617950290-0.00013213127491150.00010907087111400.00008646513855150.07667143581550.0222022014295-0.011629134311350.008219019245175-0.002560949243215-0.00082215493850.176378929712-0.034718920.003878076772297.8502042445267.1115-16.31.832-0.884130.004200430.003212495996103.93591911850935.10823.34117.728-8.45130.02013-0.0171626995488.4122958465.35213-0.00313-0.0024341029294.447-483070.1691348.8883-33.33982732357.529109235999.05029-1.5360.0410130.15780.1207167492331.4791-477219.0538130.0176-0.00348626207987.602-918398.685130.5-0.099001798187.6-918398.7
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Altitude (degrees)54.1727230.8390311160.00977897439516-0.000689236490741-0.000727038800866-0.0000503467749991-0.00007280952724116-0.000049788048391410.00003409942717160.03863656726560.0168214083496-0.002942950133136-0.003522856464176-0.001142225297216-0.0034099162680.176378929713-0.030383410.02858855035132.4925206513197.917988.43414.388-6.79714-0.003359480.00189072348139.9574183443331.2558-0.1073.988-1.885140.019350.01907293152251.5173-960269.036314-0.00312-0.002425242991121.106483333.86614-34.7825-0.9454907497336.43740541303869.578-155.171-7.023.259140.1575-0.1500328604327.1237-380370.888214-0.0145-0.01437861541267.456990396.78614-0.4-0.3900118514235.7890534.2
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Azimuth (degrees, 0 North)143.53s-0.8536798248P'0.99999075250.0039443348190.00171383494517-0.01067100534170.0000542768802442-0.0005010946552670.000275628557792-0.00006920020187117-0.0001222726682142-0.0000573526167717-0.009901388514570.01655488988970.0096153912137-0.0043504899671770.003460042461217-0.0033750500530.1763789297140.01532696-0.00336433422149.1562098-75869.8120235.4584.231-2.001150.002463370.002073134347196.4799872860538.3226-155.064-11.0085.144150.01874-0.008134162813347.9895960532.73415-0.001520.001455436107147.37335334.1051530.8238-25.50086742233.2295176926533.2733-34.1363.705-1.769150.1445-0.1444024476357.2452-411269.933315-0.0136-0.0133496825237.517890534.22315-0.4-0.3966932186267.5990396.8
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0.4778431304-0.0039443348190.9999922211-0.00000337988258918-0.001460254502180.000799813287430.000324414122668-0.000244890967693-0.0000342708443118-0.000040346238211430.00003650593549180.06874894717580.0225094309898-0.01173929091380.008408401811780.00078679260512180.0021296489220.176378929715-0.01252767-0.01112654087321.507611443602.90321.91213.78-6.566160.002210710.001912655772331.44339851337737.19-65.0943.339-1.653160.018510.010884195771.8346483925.046816-0.001230.00006508171871279.863848532.0231624.2085-21.2520780498.2661062449334.4057-124.107-10.6435.02816-0.1381-0.1189748241306.5599-454680.424816-0.013-0.01272665631252.8-477067.019160.30.2138216303338.91267870.5
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Lunar Phase0.2071151841-0.001713834944-0.0000033800875130.999998531419-0.004113873919-0.00336056292544-0.000283392806469-0.0002352082012940.00019072108261190.000072073962391440.00008621057004190.0372096968459-0.013379132399-0.0090996080551390.007025313141790.00014284272312190.0025831724180.1763789297160.010981470.009778974392308.4192127-489205.1674158.02914.915-7.029170.002065150.0017408475099.9357885-105865.7124-87.006-10.4414.91317-0.01451-0.003686391496139.8144-3937.7278170.000950.0005606637542218.317481267.88117-23.210422.9633154644.89023411431596.603269.91143.043-20.392170.1348-0.105319057519.0126-413203.5065170.0123-0.005012431291162.968477330.71617-0.3-0.284657371195.8485333.5
29
Phase (percent full)0.00%vx-0.8559116649CX0.9999980554120-0.003777496863200.00186055029845-0.0003130670486700.000306403921395-0.0001090556711120-0.00002562071265145-0.00002892651307200.06651569032600.020283546041000.011912297971400.0061809803331800.002159527238220-0.0017251975260.1763789297170.01067495-0.01067100534336.43740541303869.578-155.171-7.023.25918-0.00186984-0.000506383059129.2935985-924401.8349-57.477-14.0236.68118-0.01408-0.003611506407326.3604962466.3073180.000920.0004416054314191.538932536.42318-21.636318.96577414201.473994826670.7108-245.142-21.36710.05718-0.1267-0.04870620574220.4892413467.204318-0.0119-0.0112922454995.795485333.456180.30.2565643099220.1-405200.8
30
y0.4744715141SX0.0019721129080210.003800856976210.001113569987460.000253215219271-0.00005530715844960.0001695218554121-0.000056589039441460.00001882920926210.0496499371761-0.003198484054101-0.01087016369141-0.0078579385921810.004290949652210.0024211899410.1763789297180.01003439-0.00146025449644.89023411431596.603269.91143.043-20.392190.00182766-0.001826919566243.1653061820667.5609-121.142-6.7363.14419-0.013790.001154346672250.1212475196.673190.00088-0.0004934108107326.5021409735.29119-16.674712.66255528295.3793134481266.1618-17.8361.873-0.884190.12670.06565105305292.3791-444234.4005190.01070.009150714306220.095-405200.76719-0.2-0.024254021398.21403732.1
31
Orientation of Illuminated Portion Relative to Horizon (degrees from vertical)3.76Illuminated limb facing towards the horizonz0.2056501986CZ0.99999805511220.00482604292522-0.002139760421470.000173477594572-0.0002161053934970.0001604994995122-0.000043850580651470.0000256165090522-0.01784752345620.01244751098102-0.006097089144142-0.007989533384182-0.002121690912220.00028090175350.1763789297190.00854794-0.004113873893201.473994826670.7108-245.142-21.36710.05720-0.001794460.00131088342790.8012085519201.0678-35.565-0.2430.11620-0.013430.012739164977.7485-409267.7387200.00082-0.0001810202746142.428407332.2062014.4027-13.42850374190.8101743-541062.3799-302.511-39.37918.62320-0.12360.03428419381205.7982-868015.7802200.00990.007054545481338.9081267870.528
32
w-0.8536798248mSZ0.001972232478023-0.00324496377423-0.0006615853384480.0005331977918730.0000672934696798-0.000012220494661230.000076885125521480.00008906328267230.03250548843630.014166473081030.007401852688143-0.0004259119275183-0.00197446884223-0.0024178005560.176378929720-0.00788808-0.00377749686498.2661062449334.4057-124.107-10.6435.02821-0.001749020.00000671425814279.8162981449606.053-102.088-0.8510.34821-0.01288-0.00971995736994.01781371802.10421-0.000790.00003978138911106.4071814936.05821-12.831412.8142852813.13471061331734.0458.90617.971-8.56621-0.12050.04311633855263.7606458372.24121-0.0066-0.00080040918028.1931403732.141
33
Solar Coordinates39.48273930.4778431304nCT0.9999985314124-0.000208396092924-0.000008623434478490.0005014677348740.000252260047990.00002109307381240.0001030414363149-0.00008602604174240.0449027472964-0.01229013343104-0.005135750282144-0.004715537041840.004278388506224-0.0012463799220.176378929721-0.006766170.003800856977233.2295176926533.2733-34.1363.705-1.76922-0.00156454-0.0004275558925315.837797142002.20019-125.535-14.596.913220.01171-0.0116958213327.0252474887.534220.00057-0.000565704052274.921920530.12322-11.65-10.5016781111.40081681781068.446-65.2017.328-3.538220.12-0.1097080883216.4928499717.310522-0.0063-0.001565098634100.737413335.355
34
Apparent Right Ascension at Equinox of dateRight Ascension (J2000.0)0.81054471780.2071151841pST0.0017138382770250.0036835515125-0.00225697630950-0.000494501882775-0.000065906152171000.00001829210067125-0.00010995946991500.00005974384096250.001859285928650.018892858121050.01112615851145-0.0046833932271850.00060090436432250.001233192360.176378929722-0.005162420.004826042926162.8867928-31931.75611-106.271-12.5165.91323-0.001491220.000168464258331.1223035928469.129-50.3291.548-0.769230.011050.01091959923256.8101-962335.021323-0.000560.000363810993128.651964468.17923-10.44484.039437691145.62723121844931.958147.3432.359-15.363230.1162-0.0151458705362.6005-368298.469823-0.00590.005422712715130.022549196.968
35
Hours10Hours101.59167268426-0.0016714452021510.0000392525859426-0.0318289309466-0.01694165578106-0.0049372667331460.0070157079281860.0000392621719226-0.0031368090440.1763789297230.00498735-0.003244963775295.3793134481266.1618-17.8361.873-0.88424-0.001475350.001388833782225.7646199996399.935454.40514.105-6.68124-0.010790.009353298903272.4669483547.710224-0.000560.0003648993119202.107-1935.8562410.321110.069384149.1562098-75869.8120235.4584.231-2.00124-0.1126-0.09810592918209.3053413315.169224-0.00540.0003772487039355.05871998.101
36
Minutes3Minutes391.19612715P100270.001325017635Sv'''-16.62027297Sv'4.351418623a0a1152-0.00004762177486270.03055789733670.007209262864107-0.0092595349441470.00598782652187-0.00096935561312270.0029278655990.1763789297240.00403619-0.00020839609313.13471061331734.0458.90617.971-8.56625-0.001409980.00132607527839.220421229995.9004122.46414.672-6.91325-0.01031-0.005258269488133.766485860.5799250.000560.0005487611697354.33-1401600.7022510.056210.01143673328.2444765-99862.56252-211.005-25.07211.826250.1125-0.11249337777.8297-413355.5416250.00480.004558983944203.945790671.661
37
Seconds58Seconds301028-0.0026353579711-9.8957056913.958012.381561305119.7524131.8489153-0.00008751622806280.0117426784768-0.010050728951080.004059063035148-0.0065810602011880.00395725349228-0.0010919518850.1763789297250.003994360.003683551508145.62723121844931.958147.3432.359-15.36326-0.001344340.0009844094266264.2570099-447202.967232.4930.324-0.116260.00967-0.009011753061148.1767484301.39260.000550.00026276758424.994-33867.61226-9.88442.862303889240.64219818536.1225-29.5293.582-1.76926-0.11230.003447910467343.8467890514.0368260.0039-0.001162643983113.8721745069.396
38
Apparent Declination at Equinox of dateDeclination (J2000.0)0.7751646627001290.0025217189492-3.51221813921.961961.15585166125.0455-1934.1362154-0.0000130302306629-0.02897381488690.016657829111090.0097990927151490.00016058616681890.004032471815229-0.0026285852090.1763789297260.00386085-0.001671445202111.40081681781068.446-65.2017.328-3.53827-0.001334930.0001474130153204.5781049-37934.9060117.7292.116-127-0.008590.003537878084251.9923-2311.333727-0.000540.0005166626393333.9141301738.14278.75162.195787504274.1927984-553068.6797-54.513-10.1164.797270.1122-0.05165014768232.4426-890554.4092270.00360.002828909331263.476890666.072
39
Degrees11Degrees1130-0.00022529479053-2.8789138793-0.31752-0.08105991129233.0867479264.2898-0.6295900462300.03241675003700.01767597593110-0.0024214957431500.001760658841190-0.0001338889222300.0021183265750.1763789297270.003665020.001325017633190.8101743-541062.3799-302.511-39.37918.623280.00110668-0.0001596484036138.16233351914798.62235.88242.759-20.276280.008490.006015311466285.4666-374367.738328-0.000460.00004276687964234.972-583064.5828-8.3791-2.975134228162.8867928-31931.75611-106.271-12.5165.91328-0.10690.070242699120.7459888600.086828-0.0036-0.00158619245152.075-890402.374
40
Minutes52Minutes57yVenus Vx#VALUE!#VALUE!31-0.0019552200840.816210611340.250320.2430100132107.4411-20.1862310.01869732778710.015341535731110.0082531008551510.006167071911910.001513574425231-0.0022742651660.176378929728-0.00268863-0.00263535797187.6022864-918398.685-181.476-28.65413.594290.00102068-0.000440696665618.12871751297866.429-31.1727.611-3.654290.008010.007358265394239.9516499341.5099290.00045-0.00005867676670.7281473598.80329-7.00271.38708358987.6022864-918398.685-181.476-28.65413.59429-0.1050.1047168682202.1456510163.3348290.00330.00237208966415.6061295734.99
41
Seconds11Seconds10xy#VALUE!#VALUE!32-0.0021403504875-2.0888395575-0.22821-0.227831118181.523222518.442832-0.0239864228772-0.011806149281120.0099346890541520.004340571587192-0.0024303565812320.0030409933290.176378929729-0.002601630.002521718949287.28119571379739.39-190.629-11.2515.26300.00083291-0.000832630509669.70950471787071.596-189.201-7.3033.37530-0.007950.00325504308478.5308964092.701430-0.000440.00007871306755198.951824539.272306.3223.50075146772.8136156922465.979173.6716.179-7.68230-0.1050.02811205272257.4688-824605.2887300.00310.002782355243.113782537.072
42
Remove Quadrant Ambiguityz#VALUE!#VALUE!330.000273658890460.277770342960.218920.2157381145344.7896-477067.0188330.01638119706730.01478021648113-0.0038826740811530.005103414634193-0.00013260461582330.0030249062450.1763789297300.00239043-0.000225294789328.2444765-99862.56252-211.005-25.07211.826310.00077740.0006927250019215.1471134-972407.185192.05815.198-7.14531-0.00760.00257265239543.1678503784.927231-0.00041-0.0002880261664245.636784668.511315.75095.702762489267.4559319990396.7856178.40528.736-13.59431-0.10060.09871538404340.7609-390816.912631-0.0025-0.001143187177134.963477198.868
43
Altitude (degrees)54.18m#VALUE!#VALUE!34-0.0020636951757-0.280868540870.20536-0.08937808438254.7188477330.7165340.0345951130274-0.006928968632114-0.0047644034381540.0006352320633194-0.001692638403234-0.00013926929950.176378929731-0.00234808-0.00195522008172.8136156922465.979173.6716.179-7.682320.00067052-0.0003219493195294.74609341309872.728-279.171-21.65110.173320.00692-0.006907989571183.352-483220.84732-0.000380.0000689360489912.407-141864.76332-4.95014.869118566105.6787787341337.2548-119.499-10.7655.028320.0993-0.07910276588109.682-409643.539232-0.00240.001433281842287.062-413203.507
44
Azimuth (degrees, 0 North)143.54n0.4778431304n#VALUE!#VALUE!35-0.000368851655480.23422875888-0.178810.07341968911345.2585480890.683935-0.0443090700475-0.0011958264191150.005420669911550.0039600521781950.002292634401235-0.0012721573710.1763789297320.00223616-0.002140350487240.64219818536.1225-29.5293.582-1.769330.00060731-0.0001325488951315.8841104-559071.829569.4874.515-2.116330.00692-0.0069087152489.939483183.188133-0.000350.00007092059019159.534-960269.03633-4.42122.58152430983.3826241-12006.29979247.99929.262-13.826330.0955-0.08773211817249.3451-892468.3592330.00240.000555338734770.343958465.029
45
m-0.8536798248p#VALUE!#VALUE!36-0.00136044522290.31586025390.177440.151160693867.343932964.4672360.04028547258760.01459373388116-0.005363935899156-0.006049613661960.0038499082862360.0025423749590.176378929733-0.002119490.0002736588917267.4559319990396.7856178.40528.736-13.594340.000596160.000549476214852.35513181361729.941181.36932.643-15.47934-0.006680.006679644625128.24411435665.61734-0.00034-0.0003109458374256.123960532.734344.13112.649377849184.1196211401329.0556125.42818.579-8.79834-0.0851-0.01335809761176.626487271.0312340.00230.00209169259128.524413467.204
46
Venusprecessed RA-29.23770867#VALUE!370.0003580450135100.01601052421100.1565-0.1562213341276.7408-18.829437-0.02164820576770.01485649299117-0.008166234972157-0.0063694500041970.003444730998237-0.0022227605440.176378929734-0.00206875-0.002063695175355.058218471998.10058-3.0720.0820350.00049055-0.00002595488325279.8626113848532.022892.93518.254-8.68235-0.00655-0.00005191444755108.5203497405.976835-0.00029-0.000276703075720.61261867.37835-3.958-2.820400605338.90829621267870.528-153.636-7.0613.259350.07950.0367650986566.7826503409.126735-0.0023-0.002223877743257.953476229.384
47
Apparent Right Ascension at Equinox of dateRight Ascension (J2000.0)0.2617557608150.7622913#VALUE!#VALUE!#VALUE!#VALUE!380.000852430108110.0558350597110.13703-0.0615570576260.0092475264.7314380.0340854259778-0.015668377071180.009625590996158-0.002886814274198-0.0002858382274238-0.001316091470.1763789297350.00204755-0.0003688516567105.6787787341337.2548-119.499-10.7655.02836-0.000451230.000299121852859.045685419338.5053-246.57-25.31511.941360.006520.006516685811250.5689407312.019336-0.00024-0.000168163012472.181751072.546363.25820.451817178538.5872012858602.4669-138.871-8.8524.14436-0.0773-0.07188965583333.0802-414304.838936-0.00210.001944341558160.4164067.294
48
Hours#VALUE!Hours#VALUE!1385248.283150.7622913#VALUE!#VALUE!#VALUE!39-0.0009048012778120.3092425566120.13650.1348624125350.0824-479133.0038390.019046052179-0.01595801211190.0010755331671590.0021280552021990.003603894495239-0.0011741366740.176378929736-0.0017731-0.001360445221184.1196211401329.0556125.42818.579-8.798370.00043925-0.00006447789145311.6181348948394.5854303.9443.326-20.507370.006520.005792163793325.7099-407352.3917370.00022-0.00002812811052174.184507194.76837-3.1483-3.14828969186.5441986966404.0351-68.058-0.5670.232370.0705-0.0697006965116.1051476447.2666370.0021-0.0008625682085148.0981808932.908
49
Minutes#VALUE!Minutes#VALUE!9289.878619150.7622913sun vx-0.855925650.4778230054400.0008829660297130.186237109130.1237-0.07003852867208.6855476229.384140-0.0004219304954800.01523530655120-0.007142296269160-0.0060258485082000.002063527493240-0.00097483223950.176378929737-0.001594890.000358045014862.2446071856938.258-100.6593.097-1.537380.000422150.0003895103295238.89933052328133.976113.31132.075-15.248380.00626-0.00210998322520.9585-362295.3199380.000210.0002058918953180.874-435196.667382.61640.3173059098.1929291403732.14155.83418.052-8.56638-0.06310.04799774251299.8407477158.1138-0.00180.0008456024428317.715477178.681
50
Seconds#VALUE!Seconds#VALUE!alphaMoon0.2635056863y0.4744513338-0.8536939093410.000803614298140.01603133664140.100170.05922018815311.5895964469.8989241-0.0013348931920.1763789297380.0012150.0008524301072338.90829621267870.528-153.636-7.0613.259390.000421010.000151705665197.5380749-1024264.397-268.482-39.09518.507390.00609-0.004524530828274.6895473261.1399390.000190.0001877903786137.487479330.306392.35362.23339970595.7952154485333.456-125.643-10.6025.028390.0631-0.00538714173929.9119-477239.6253390.0018-0.000800399998947.788-477219.054
51
Apparent Declination at Equinox of dateDeclination (J2000.0)dMoon377906.1363z0.2056385509-29.236277342-0.000237454183915-0.0219419856615-0.095430.07667138646152.51429037.51282420.0013045669780.176378929739-0.00111045-0.000904801277796.47102141920801.77111.88228.128-13.36340-0.00036606-0.0001757123491191.5382055932536.4232-158.136-10.9265.144400.006060.002487912606337.3239-407200.356640-0.000180.0001791384983278.1664067.61740-2.1171-1.81056803220.094807-405200.767-93.042-14.2666.797400.0621-0.025898438074.6741478231.578740-0.00170.001036990742330.715-135861.613
52
Degrees#VALUE!Degrees#VALUE!sUmbra112.931448m-0.8536939093150.763722743-0.0003696990236160.03470048118160.090150.0386365692667.7377-2281.22582430.0015113727980.176378929740-0.000891580.000882966029838.5872012858602.4669-138.871-8.8524.14441-0.000351190.0001969070089326.50161691409735.291-68.1663.421-1.653410.006050.004617255287262.1806407464.0544410.000180.000000730598889596.899483183.18841-1.897-1.801738512203.9448849790671.6605-243.606-21.40810.05741-0.06090.0130963152998.12132065.422141-0.00170.000858128618551.627-111868.862
53
Minutes#VALUE!Minutes#VALUE!0.2635142758n0.4778230054150.763722744-0.0002209465365170.05700850494170.08376-0.009901374345163.231245036.88562440.0023800158260.176378929741-0.000809590.00080361429798.1929291403732.14155.83418.052-8.566420.00033108-0.0001437134518204.67291612264270.464-99.237.044-3.422420.00559-0.003169703334301.9728959431.4016420.000180.000001188105265270.354-483220.84742-1.73851.16309712527.9233814-509130.6237-196.241-26.86312.7142-0.0608-0.0445969926232.3536-347406.42142-0.00150.001124504069333.9671339868.629
54
Seconds#VALUE!Seconds#VALUE!precessed dec11.95334801p0.2071035605150.7637227450.000691153048118-0.056124863518-0.080380.06874874683220.1798-1935.5332Sv'4.3860361150.1763789297420.00075886-0.0002374541835203.9448849790671.6605-243.606-21.40810.057430.00031517-0.00001587004559106.40680991814936.05824.87617.687-8.4543-0.00558-0.00536301554299.0703-384813.7627430.000170.000111945857188.093958465.35243-1.57140.4684422186113.87170761745069.396-63.6657.287-3.53843-0.06010.04996844452352.2127476823.0671430.0014-0.001398722191341.3791231871.478
55
#VALUE!11.95266727460.000514606664119-0.01776068022190.07856-0.0779221708273.6904-969.48350.176378929743-0.00071332-0.0003696990239220.094807-405200.767-93.042-14.2666.797440.00030161-0.0002887988783147.3700907335334.10494.53.866-1.885440.005540.0005952570404305.4557452369.0911440.00017-0.0001687715135101.4651886934.15844-1.4226-1.134101788246.36422822258267.31424.76921.675-10.33544-0.059-0.006683015397198.0307474917.6418440.0013-0.001268242355307.724-890554.409
56
Altitude (degrees)#VALUE!10.050914851033.293447589470.0003316604884200.01877806809200.06810.0665147393598.08992065.42210.176378929744-0.00070033-0.000220946536895.7952154485333.456-125.643-10.6025.02845-0.00028316-0.000251323890454.77970931926804.92-12.11713.497-6.45450.00533-0.003011405874115.4239-6972.6334450.000160.00005028465456189.067968535.47445-1.4189-1.339650885173.55061261335801.335-48.9015.496-2.653450.05860.04335532372287.9045-479480.093445-0.00130.00126687855159.126890514.037
57
Azimuth (degrees, 0 North)#VALUE!11579.60216033248-0.000508343387821-0.0599819597121-0.062920.04964996479205.5247150.67830.1763789297450.000691360.0006911530481323.3026948-27864.46194-214.077-24.9911.82646-0.000228530.000226807536274.9208296920530.123489.86318.336-8.682460.004850.001519105823308.3905-473129.8539460.000160.0001043064113105.132483925.047461.1655-1.071215038130.0216297549196.968286.89914.429-6.797460.05770.03021749393355.1425475263.334546-0.00130.0003235637436284.325413315.169
58
490.000496032660322-0.05179445804220.05866-0.01784544743327.1213-380370.88820.1763789297460.000596130.000514606664151.6271006-111868.862336.9944.19-2.001470.00022339-0.0001455631737202.1072141-1935.8557216.1932.156-1470.004570.004559586003207.6536-886465.2093470.000160.00008310068145126.823-888402.78547-1.11690.3607336466179.85364551908795.471359.88157.39-27.189470.05720.03779748778332.9419-856816.076470.0013-0.000322397741482.849-413355.542
59
500.000361913952723-0.05955702783230.054010.03250544468209.831233718.1470.1763789297470.000549370.0003316604885246.36422822258267.31424.76921.675-10.335480.00022294-0.000144836673328.6514127964468.1793-51.8651.589-0.76948-0.00455-0.004540211716232.0839478822.256848-0.000150.00004711646003297.2171273873.678481.0657-0.07445323703355.058218471998.10058-3.0720.082048-0.0570.0568613517385.2157-479134.400848-0.00130.0007747929765300.321409268.061
60
510.000225098426224-0.0581195616124-0.051270.04490273667132.66665928.93440.1763789297480.00053713-0.0005083433877179.85364551908795.471359.88157.39-27.18949-0.00022033-0.0002159083981354.3301871-1401600.702-147.447-28.37113.479490.004180.00121507037254.1859894601.8398490.000150.000047505698822.5232131.43849-0.9333-0.21595777470.3427248958465.029472.13416.22-7.68249-0.05510.0254337286716.3088-468161.354849-0.0013-0.0004828539133193.281-577061.43
61
52-0.0003095256344250.02363976481250.050710.001857902562357.251-411269.93330.1763789297490.000519660.0004960326603113.87170761745069.396-63.6657.287-3.53850-0.00021973-0.00010497886124.9940069-33867.61183-90.077-10.3594.913500.003910.003717503484208.9975440296.6727500.00015-0.00003348521223328.9731373736.241500.8624-0.7048644057263.6237898381403.5993-228.841-23.19910.94150-0.0534-0.019754238225.782411401.219250-0.0012-0.000818363542332.361477158.11
62
en+e'n*tcos(un0+un1*t+un2*10^-4*t^2)53-0.000340997402-16.62027297260.04864-0.0318289276555.066831555.95560.176378929750-0.000486940.000361913952527.9233814-509130.6237-196.241-26.86312.7151-0.00018539-0.0001542406992166.08571491405667.99739.64115.896-7.566510.00391-0.002444435966285.742-896405.5241510.000130.00006723478043313.36778001.25510.8512-0.7881041865160.4159024067.294176-107.806-12.4755.913510.0525-0.0407123141798.2942-881496.7102510.0012-0.001189952121122.434-477239.625
63
Fundamental Arguments2.556294095-0.8080288814-2.065559458540.0001959155786270.047450.03055888284331.4784-477219.05380.176378929751-0.000399210.00022509842646.6853189-39870.7617333.9224.272-2.001520.00018062-0.00001679307939234.9723771-583064.58-176.976-24.78811.71520.00390.001565149239340.1461-373267.2914520.000120.00007930403593240.694856666.61152-0.84880.3486339366148.0981221808932.908148.87632.318-15.363520.05160.05110605021286.0818486236.380452-0.0011-0.000707614330710.6641367733.091
64
L85103.8304385103.830240.15931412590.50734930540.08082791112550.0001844538994280.047450.0117440081241.4051477178.68140.176378929752-0.00038127-0.000309525634483.3826241-12006.29979247.99929.262-13.82653-0.000177450.000023136685430.72803131473598.803144.37628.452-13.47953-0.003880.0009235517922275.6916481225.7267530.000110.000105315311562.211-485709.90253-0.7956-0.7908460287111.3060056-521136.923551.7582.399-1.11653-0.0504-0.01257545896100.8011413335.3554530.00110.0008828221352108.15305338.205
65
D78833.5867278833.58649y'2017Julian DayJD2457987.240.027140.30338215560.00823379170356-0.0002980887454290.04642-0.0289734485419.0127-413203.50650.1763789297530.00035051-0.00034099740270.3427248958465.029472.13416.22-7.682540.00017603-0.00008491547909108.2018947343468.6933-211.113-21.0849.94154-0.003860.00369629533776.983454304.624354-0.000110.00001678437327177.429-409267.739540.7785-0.0815988423255.8467629-1018261.247-392.482-53.72625.4254-0.04920.01721715003298.133522235.7533540.00110.0008592377524312.639-1395597.553
66
l'6707.0030666707.003043m'8t0.1763789297-0.024860.3058196847-0.00760267736157-0.0001271451423300.045830.03241705535192.2174-857569.75590.176378929754-0.000340030.0001959155784263.6237898381403.5993-228.841-23.19910.941550.000165490.0001162566969245.6361969784668.5106-119.606-6.7773.144550.003790.003496902973313.7613896669.221855-0.00011-0.000105040261207.1442228271.413550.774-0.5801537798152.3177843902540.5228-280.599-25.59812.057550.0492-0.0276453750428.455-432161.98255-0.0009-0.00051145319342.4191467595.653
67
l84302.7892384302.79054C071.248930810-0.68195934330580.0001131077078310.045670.01869659333244.0516-890402.37420.1763789297550.000329680.000184453899266.5105827349471.8432-335.112-35.71516.85456-0.00016359-0.0001363353775339.5415163439263.9616107.69916.463-7.79756-0.00375-0.003594950815124.6414526303.3756-0.00011-0.0000986847286245.347-407200.35756-0.66970.6676730806280.59064252322130.826237.3146.706-22.161560.0488-0.04465263167233.4132-404297.842656-0.00080.0000698850827925.452-473131.573
68
F85319.9266885319.92619B-1371.2489308100.45726541120590.00002288069663320.04563-0.02398643459332.769529929.56150.1763789297560.00032694-0.0002980887454148.0981221808932.908148.87632.318-15.363570.000131490.00007951597681153.09212891775065.29658.79821.959-10.45157-0.003560.0014141174662.5822482488.598257-0.00011-0.00006814215509170.204407464.05457-0.6575-0.472619332715.60560141295734.9960.44117.93-8.566570.04610.01200997161293.4551-410300.449757-0.00080.000769269964149.11525204.218
69
Me26616.08128A20104.18880.006220.82419016650.00512646283560-0.0002101394181330.045490.01638120407166.0821-40.75760.176378929757-0.00032269-0.0001271451425130.0216297549196.968286.89914.429-6.79758-0.000119410.000111575042569.6146935-515133.7736-72.241-12.2325.79758-0.003420.003293663252350.7216-341403.2711580.0001-0.0000968966988194.009896537.373580.6571-0.331693540751.6271006-111868.862336.9944.19-2.001580.0456-0.02728631548178.9132-858978.267458-0.0008-0.000429506954276.664-589067.73
70
Ve10503.289571.248930810.00556-0.80651857-0.004484243249610.0002619590555340.045280.03459401796355.4532890666.07190.1763789297580.000299360.0001131077078160.4159024067.294176-107.806-12.4755.913590.000115260.000109975425320.59960831261867.378-29.6367.571-3.654590.003380.001379761949150.7798-1373604.392590.00010.00004913765419156.11499341.51590.59630.1466559431287.28119571379739.39-190.629-11.2515.26590.044-0.01628568054108.2005-379617.208459-0.0007-0.0001073300186230.759962532.324
71
Te6449.997305t since 18501.6763789072396757.50.003580.98614138940.00353038617462-0.0001451585559350.04469-0.0443088488662.6015-368298.46980.1763789297590.000294310.00002288069682280.59064252322130.826237.3146.706-22.161600.00010653-0.0001019261049333.91428941301738.14-63.5583.299-1.65360-0.003360.002403427743212.711967931.12960-0.00010.00006942798856282.334812532.973600.5788-0.4339018096333.96651461339868.629-156.707-6.9793.25960-0.0437-0.0307451549167.4024446299.8226600.00070.0003170786079228.081-477217.697
72
Ma3731.378785t since 19001.1763789300.284276854063-0.0001160938931360.043640.04028657183220.4891413467.20430.176378929760-0.00027506-0.000210139418197.20801842334137.126-10.68917.444-8.33461-0.000097730.0000320861973380.2785133852599.317-14.8725.779-2.769610.003350.00256217472188.72511373868.08961-0.000090.0000821046313854.8261325730.8961-0.51420.42618673666.5105827349471.8432-335.112-35.71516.854610.0435-0.029104914578.056956463.157461-0.0007-0.0001851984886117.737-954265.886
73
Ju569.6448988Mars delay#VALUE!00.2484230782064-0.00011677917837-0.04264-0.02164920047306.5588-454680.42480.1763789297610.000263410.000261959055555.8467629-1018261.247-392.482-53.72625.42620.000094110.000065940632872.18039561751072.546-187.665-7.3443.37562-0.00308-0.002826436428161.5677481417.1627620.00009-0.00007618799639303.156475196.67362-0.5079-0.4583983388284.8566182814664.4112.8577.895-3.769620.0432-0.02802185871102.0889-860604.6615620.00070.000596386716185.131-882399.635
74
Sa265.632594t since 19001.176378930-0.9176410424065-0.0001416534944380.039850.03408601197292.3874-444234.40050.1763789297620.0002088-0.00014515855615.60560141295734.9960.44117.93-8.566630.00009141-0.00008845661889180.9206991-1036270.697-20.483-9.8334.68163-0.00283-0.0009577796855158.2395476823.067163-0.000090.00008201013901241.372292134.926630.4976-0.2965675316300.321095409268.0612-14.7641.791-0.88463-0.04280.02758284191131.1841416370.2611630.0007-0.000698858469297.821954529.584
75
0-0.70868905710660.00001768648744390.038810.01904730068209.3049413315.16920.176378929763-0.00018594-0.0001160938932312.6388751-1395597.553-271.447-43.00220.392640.00008742-0.0000156380472198.950878824539.2723-153.528-11.0495.144640.002790.002100793326267.4739405398.0693640.000090.0000353553796736.7565994.951640.4950.1838487088193.2810651-577061.4302-300.976-39.41918.62364-0.04280.0224130073367.341232964.4672640.0006-0.0002968997657116.3431709070.345
76
67-0.00004360809542400.03878-0.00042042995497.8292-413355.54160.176378929764-0.00017645-0.0001167791781333.96651461339868.629-156.707-6.9793.25965-0.000086920.00001111241106174.1838326507194.768212.43429.019-13.71650.4726-0.3526327188139.229387-1030267.547-144.483-24.46411.59465-0.04270.0424444361538.6974935571.108765-0.0006-0.000377850376141.058822603.417
77
680.0001036807652410.037760.03525988388263.7613458372.2410.176378929765-0.00016222-0.0001416534943207.7770271399664.847163.6430.527-14.47966-0.000084770.0000839358866305.3151019375400.4494-104.842-8.5684.02866-0.42250.406250997477.17440241717204.934-277.742-17.7038.288660.0411-0.03248764635153.9518-887499.3174660.00060.0002046032527305.948-453206.117
78
Coefficients of Nutations
69-0.0001242221691420.03731-0.01262449442287.6929-845497.33740.176378929766-0.000162030.00001768648734111.3060056-521136.923551.7582.399-1.11667-0.00008369-0.00008205292689180.8743857-435196.6674-215.506-28.93813.7167-0.4224-0.3299514377312.6388751-1395597.553-271.447-43.00220.392670.03970.03135529887242.2038478490.423767-0.00060.0005588236737108.931817067.496
79
nvnv'nene'nun0un1un2vn+v'n*t
sin(un0+un1*t+un2*10^-4*t^2)
70-0.000124776419343-0.03645-0.007022457449340.7607-390816.91260.1763789297670.00015877-0.0000436080952777.17440241717204.934-277.742-17.7038.28868-0.00008088-0.0000621230660190.8475218-81872.96192159.45718.862-8.91468-0.4107-0.3686170907243.1130809782537.0722-27.9933.541-1.769680.03970.03787701808209.8262-954265.886468-0.0006-0.0001474671899199.003862669.761
80
1-4.77767-0.004842.556250.00025125.0446-1934.136221-4.7785236740.5891428747-2.815233174710.0000985039889344-0.03534-0.01431979696216.4919499717.31050.176378929768-0.000155730.0001036807652139.229387-1030267.547-144.483-24.46411.594690.00007462-0.0000135361779312.4066793-141864.7627-85.47-10.4824.913690.3785-0.1844540314207.7770271399664.847163.6430.527-14.47969-0.03880.01198365968302.2798923498.6902
81
2-0.3663100.15933-0.00009200.932972001.53976-0.36631-0.86174049590.315664161172-0.0001233841588450.03483-0.02106210409109.6971-409643.53920.176378929769-0.0001547-0.0001242221691300.321095409268.0612-14.7641.791-0.884700.00007313-0.0000691804355273.12574482391997.488325.85257.106-27.073700.35510.201790522742.41934331467595.653268.37543.083-20.392700.0386-0.0297764252324.3078-415269.4916
82
3-0.0631700.02714076.6333962535.7627-27-0.06317-0.95286896670.0601927326373-0.000116116677460.03054-0.002264907149202.1901510163.33480.176378929770-0.00015164-0.000124776419342.41934331467595.653268.37543.083-20.392710.000070580.00002560103044284.0822736-57860.36233-336.541-39.66218.739710.343-0.2092269407330.7153673-135861.6128-209.469-25.11311.826710.03760.03225854904148.3721525927.5695
83
40.057280-0.024860250.0891-3868.2724420.05728-0.9520894498-0.0545356836974-0.00009955329734470.029590.02938575822260.86581034.12820.176378929771-0.000148810.00009850398895152.3177843902540.5228-280.599-25.59812.05772-0.000068010.0000659423707720.5532951862941.408-224.658-11.5345.376720.3346-0.321746119749.1098964525204.2177-159.564-14.8747.02972-0.03740.03360950179102.8999480233.7733
84
50.03961-0.0000900357.529135999.0503-20.0395941259-0.7313900834-0.0289587510475-0.0000005976340238480.029140.003963289989317.9851282.52720.1763789297720.00013289-0.0001233841588193.2810651-577061.4302-300.976-39.41918.62373-0.000065840.00006536418939101.46502831886934.15821.80517.769-8.45730.3323-0.0290273314325.4524906-473131.5735-197.777-26.82212.71730.0374-0.00217651072181.557422518.4428
85
60.01978000134.9634477198.8676900.019780.88933027820.017590952976-0.00008378484732490.028850.01397794438217.3033-375.80050.176378929773-0.00012605-0.000116116677319.0830325878527.9232215.39832.926-15.595740.00005938-0.0000186526944297.21698421273873.678-277.635-21.69210.173740.32330.1735767146276.6636892-589067.7299-52.977-10.1574.797740.03730.033520264874.6382-443480.7206
86
7-0.0143600.006220195.9911143999.64023-0.014360.5663131373-0.00813225665277-0.0000370021537250-0.02756-0.02647904555205.7945-868015.78020.176378929774-0.00011839-0.00009955329734289.75208651343740.34-189.093-11.2925.26750.000059050.00003558884309339.63632752741469.331-9.2621.392-10.21975-0.3218-0.00957070519149.8932068337465.5434-87.113-6.4533.02875-0.03720.000916257990229.6822954529.5841
87
8-0.0107200.005560311.5888964469.8989-47-0.010720.5912087586-0.00633775789278-0.0001074772017510.026780.020187137370.7459888600.08680.1763789297750.00011676-0.00000059763400413.08839731932808.07-136.117-1.1340.46376-0.00005720.0000566574677131.85930051341804.484-172.9-9.1354.2676-0.28660.05600559036212.13781382194403.801-187.772-3.3561.491760.03720.005287692135194.3603-474163.962
88
9-0.0083600.003580211.59671439734.6363-0.00836-0.16590708310.00138698321479-0.000091906594352-0.026440.009711482857333.0947-414304.83890.1763789297760.00011483-0.0000837848473184.07330781002403.085-69.594-0.5260.23277-0.00004775-0.00003155635462240.6944153856666.6112-122.678-6.6953.144770.284-0.1105044992319.0830325878527.9232215.39832.926-15.59577-0.03580.0348829327668.2525-477048.1893
89
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94
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