ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAEAFAGAHAIAJAKALAMANAOAPAQARASATAUAVAWAXAYAZBABBBCBDBEBFBGBHBIBJBKBLBMBNBOBPBQBRBSBTBUBVBWBXBYBZCACBCCCDCECFCGCHCICJCKCLCMCNCOCPCQCRCS
1
InputRight Ascension (J2000.0)Enter Coordinates in J2000Equinox of Date37.9537.950.6084733313
2
Year2023Hours2389.2666666789.266666672.03Longitude111001.25048407.5UT Decimal5.18666666724599520.71611111152459952.5u26.99894348y-0.008448238237sin(ap dec)0.99993812160.9999771423Delta Alt-0.5895127938y-0.0051347299820.2301907455-0.23019074550.2301907455
3
month1Minutes311V121.25039010.23018480495.200867288p*sin(theta')0.4524518947x0.8936359825sin(latitude)0.45518534060.4551853406Delta Az0.2119703686x0.89237863330.2301907455-0.23019074550.2301907455
4
day8Seconds4829.1145.37127955Latitude (U)4.9516660890.08181921805559.152724512.35359181Distance Radii63.72522206p*cos(theta')0.8910148955tan A-0.009453780289-0.541645575sin(altitude)0.46041598540.4512582513-70.22300143tan A north-0.005753981315-0.32967520640.2301907455-0.23019074550.2301907455
5
hour (UT)5Declination (J2000.0)89.36260398Distance ( R )406448.3856406448.3878Robs6390.997909230delta72.65332968apparent RA45.3712795545.37127955-0.541645575cos(ap dec)0.011124429810.006761284621-70.22300143
Facing away from horizon
Facing towards horizon
-0.32967520640.2301907455-0.23019074550.2301907455
6
minute11Degrees8989Aberration Corrected7.152724523GST12.353591815.466666667sin(alt north)0.4512582513apparent Dec89.3626039889.61260398359.4583544cos(latitude)0.89039671260.8903967126405.7676951-109.7769986469.7769986289.776998610359.67032480.2301907455
Facing Away Southern
Facing Toward Southern
7
second12Minutes1621Delta V-0.000184655056V121.2502055121.2474751T07.152724523LST6.886925144cos(az north)0.9999834463Alt North26.82444074Az North359.67032480.03071350794359.4583544cos(ap hr ang)0.5309165356-0.65058770923.86217317457.93259762130.5859273289.776998600359.67032480.230190745500
8
W Longitude (Decimal deg)82Seconds045.4Delta U-0.000002462730509U4.951663627Hour Angle3.862173174Hour Degrees57.93259762sin(altitude)0.4604159854altitude27.4139535427.41395354Refraction0.0307135079427.44466704cos(alt)0.8877032840.8923934058
Orientation of crescent relative to horizon
585.7676951225.7676951225.767695145.7676950945.767695090.230190745500
9
Latitude (Decimal deg) (N+, S-)27.076860.73333333330.6373960245y0.7471249081Delta R0.002187526084R406448.3878Sv-0.4814707532Sv''-0.02608305351cos(azimuth)0.99994360980.6084733313sin H0.7594311244359.3915267Sv'2.848807593
Position-Angle of Illuminated Portion
295.99069650.2301907455
10
Height above sea level (meters)0Altitude (Degrees)27.44466704x-0.5168401835Mean Equatorial CoordinateseA23.4362875323.438095631-0.189526682310.0339288368626-0.001150836731510.000127347750276-0.000060367371741010.0000957290061260.0000692250374511.97297618541-0.03370214485810.003851975904121-0.00968800651161-0.005912384518201-0.0013610361840.2301907455HighMed
11
Pressure (mb)1015Azimuth (Degrees)359.3915267Remove Quadrant Ambiguity-55.32559533RA (degrees)45.37127955kappa12-0.572635182220.0549664665227-0.001446694225520.00000827233207770.00002305036237102-0.0001305095989127-0.0000206181651121.256545171420.0329523058282-0.01564639914122-0.008481970202162-0.0050421185322020.0035680036680.2301907455Sv-0.4814747546-0.4813010992Su=4.953759068a0a1a2a3a4Su'=-2.094561591a0a1Su''=0.006867399036a0a1Su'''=0.3167420657a0a1Sr21447.80565a0a1a2a3a4Sr'0.0439863298a0a1Sr''-0.1475744147Sr'''-4.76478017
12
Temperature (Centigrade)15124.6744047Dec (degrees)89.36260398cos eA0.91750291330.917490361630.31348148243-0.0472287653428-0.0008525941916530.000203399586978-0.00003788961403103-0.000059240064361280.000080228445113-0.183430038543-0.01146139167830.014733881161230.009425176314163-0.005236485774203-0.0038504948010.2301907455a0a1a2a3a415.128121865.07701973793.2720993483202.0175-34.029-0.2840.1161-2.23474-1.900730531218.3174481267.88131-0.020640.01743564858144.899371333.1551-0.610.5152330268144.9371333.21-20905.35520895.85913134.9634114477198.867689.9714.348-6.79711.05870.8641432773233.0866479264.289810.5140.4686104314238.171854535.173114.913.58046709238.2854535.2
13
51.85011840.456674560.4004736016n0.007916967357124.6744047RA (Hours)3.02475197sin eA0.39772905870.397758012440.012869907274-0.0044049340329-0.000285377150454-0.000214349059979-0.00022023433591040.000039077977881290.0000707786057640.24410473444-0.02575929881840.0081760858421240.006478976352164-0.003639081122204-0.0034564770120.230190745516.28877383-0.1895266837134.9634114477198.867689.9714.348-6.79720.28060196-0.2788704258228.2355107960400.885255.94114.064-6.68120.4195-0.258774811314.9967481266.484420.00845-0.006405336599139.957443331.25620.25-0.1893557228140443331.32-3699.11093304.39064100.736997413335.3554-122.571-10.6845.02820.72780.6197321764344.7895-477067.018820.3825-0.353298611103.208377336.305211.1-10.2532664103.2377336.3
14
32724.02841609m0.007815021844124.6744047Delta v-0.002730329594sin V0.85491001040.85493473085-0.013484491935-0.00787763640630-0.00102107812555-0.0003784192098800.00015571339871050.00014999133351300.0000882489282150.16153884450.0252466301985-0.008570392548125-0.001704972033165-0.003248676896205-0.00096245140470.230190745521.27401064-0.5726351818100.736997413335.3554-122.571-10.6845.02830.277692660.27362202541.6913121-6003.149896123.99914.631-6.91330.1751-0.1379954589213.0248483333.86643-0.006190.005994503668196.48860538.3233-0.17-0.1633131791331.41337737.23-2955.9676-2599.304979235.7004084890534.223-32.6013.664-1.7693-0.6826-0.6017606238254.719477330.716530.3265-0.3262012584222.566-441199.81739.5-9.491036741222.6-441199.8
15
20.106598290.1065982950.3958976997
16
20623.75386198precessed RA45.37127955Delta e0.001808098565cos V-0.5187763238-0.5187355846-0.031880084076-0.0599694360931-0.00103405345656-0.0003167630722810.00017457921261060.00014980813011310.000098021080116-0.114799748846-0.03030775417860.014140345011260.0057508959051660.0041490863052060.0024513002230.230190745530.658309430.3134814824235.7004084890534.223-32.6013.664-1.76940.17323679-0.1391993129142.4283091407332.20551.4293.948-1.88540.175040.162520021826.4804-483070.16874-0.00555-0.005330598829331.4431337737.194-0.170.1646200725196.5860538.34-569.9251-568.889823269.9268228954397.7353179.94128.695-13.59440.5983-0.568511463345.2589480890.68394-0.2640.2625994794132.493513197.9184-7.77.659111984132.5513197.9
17
Convert to RA and DecRA Eq of DateDec Eq of Date45.371279550.7471343145Vt121.2476598sin U0.086315293230.0863152932370.024831241557-0.01014829649320.000390113066957-0.0004330406202820.0002110653475107-0.0001191423838132-0.000098860249117-0.09694091243470.01944572613870.001484489844127-0.003194837748167-0.0048095458732070.0034152226540.230190745540.213618250.01286990747269.9268228954397.7353179.94128.695-13.59450.05541215-0.05251339522194.0090963896537.3729-156.6-10.9675.14450.12663-0.109661153183.3544069.01375-0.00519-0.0044659213329.936-105865.7125-0.14-0.12050936959.9-105865.75246.1585223.1262841325.7735856-63863.51223-212.541-25.03111.8265-0.45650.3416233412260.0092475264.73145-0.123-0.1226732622357.52935999.055-3.6-3.590516824357.535999.1
18
Geometric Altitude27.07686-119045.37127955-0.5167995957Vt+Delta V121.2474751Cos U0.99626787070.99626787078-0.021868057180.00917330494233-0.0007600056174580.00031340301183-0.0002203471401108-0.00012442109911330.0000060302885988-0.05572630322480.0113940983688-0.01209673301128-0.006522993431680.00002530644372208-0.003580871230.23019074555-0.18511586-0.01348449197357.529109235999.05029-1.5360.041060.046270580.037992568067.4648977-69866.66213-88.542-10.44.9136-0.115480.09634568359353.2808958466.74960.004710.004630433725129.294-924401.83560.140.139673851290.8519201.16-204.586-186.5196048238.1712992854535.1727-31.0653.623-1.76960.4528-0.3563288598350.0824-479133.00386-0.0775-0.06527921138233.23926533.2736-2.3-1.937832984233.2926533.3
19
Azimuth0-6045.37127955-55.32803805True Equatorial Coordinatestan U0.086638639840.0866386398409-0.0267926281390.003957303444340.00000650056771859-0.00001297102324840.00006186688153109-0.00013441139241340.0000468826219590.1766351841490.0218409362889-0.014081533211290.005402063195169-0.004613524262090.0017653354370.23019074556-0.11433213-0.03188008415186.5441986966404.0351-68.058-0.5670.23270.032572410.0305410995328.97250771373736.241-66.633.38-1.65370.09062-0.060730129731.7733-485136.153770.004510.00449945913690.801519201.06870.140.137628682129.3-924401.87-170.7331147.614291510.66381981367733.09157.3718.011-8.5667-0.4101-0.3467119412208.6847476229.38417-0.06070.0520911127798.266449334.4067-1.81.54418542998.3449334.4
20
-47.070.0124.6719619RA (degrees)45.371279550100.0188006617810-0.00385938076335-0.000881888842360-0.000117300888385-0.000155728993110-0.000086431359891350.0000999553684510-0.1563622291500.007871543194900.00521915095130-0.007272231284170-0.004138522809210-0.0002910277420.230190745570.058793210.0248312415325.7735856-63863.51223-212.541-25.03111.82680.017197760.017141362523.19892211437599.753145.91128.411-13.47980.082930.08279309628342.617-409266.341780.00394-0.003920897734315.83842002.280.11-0.1099215409225.8996399.98-152.1377140.5237163103.2078878377336.3051-121.035-10.7245.02880.2050.07814677588192.2132-857569.755980.04970.04667829451240.642818536.12281.41.315275963240.6818536.1
21
RA J2000Dec J2000124.6719619Dec (degrees)89.36260398Precession0110.00174957118110.00151256339236-0.000302768033161-0.000397141672860.00001159361335111-0.0001329620476136-0.0000567213741711-0.09089673175510.02487561075910.0062115299911310.000006127297475171-0.00457737885211-0.0034072154120.230190745580.05706551-0.02186805705103.2078878377336.3051-121.035-10.7245.02890.009265890.00727572021277.3917205884531.073191.39918.295-8.6829-0.023190.01213729503319.0544894603.236790.00372-0.003717280184225.765996399.93590.110.106742469139.229995.99-129.6201129.5015837222.5656978-441199.8173-91.506-14.3076.79790.2047-0.1074583906244.0516-890402.374290.0419-0.039758912295.379481266.16291.2-1.138483292295.4481266.2
22
2389124.6719619RA (Hours)3.02475197zetaA-0.1474595130.1474684043120.008527665822120.00324320006837-0.000531566824562-0.000339495275687-0.00002457441894112-0.00011247627137-0.0000487610143712-0.084220679752-0.00182267928192-0.031273049221320.00627601821172-0.00197420872120.0010995790210.230190745590.05332117-0.0267926281410.66381981367733.09157.3718.011-8.566100.00882213-0.008643502811176.6547234471195.7177213.9728.979-13.71100.022340.007068848006343.3612479333.7452100.00362-0.00252152826352.758481266.484100.11-0.1074717321264.3-44720310108.7427-105.4114934297.8502042445267.1115-16.31.832-0.88410-0.20370.2036338993355.4532890666.0719100.0322-0.0289444845713.1351331734.04100.9-0.809311355413.11331734
23
5952zA-0.14744784630.1474800735130.003125470827130.004443125634380.00043256570563-0.0000679969203388-0.000067122961751130.000076183332281380.00009173320422130.0660631961553-0.004033540556930.0011035273581330.007578642597173-0.0038509249952130.002250770530.2301907455100.045757920.01880066177238.1712992854535.1727-31.0653.623-1.769110.00821572-0.006940212532144.8991999371333.15522.9643.907-1.88511-0.02154-0.01229728212178.48564067.6167110.003550.00344457104739.2229995.9110.11-0.1094594887315.842002.211104.7552-104.1994788132.4925206513197.917988.43414.388-6.797110.16640.07804890715287.6902-845497.337411-0.0253-0.02365012185328.244-99862.56311-0.7-0.6545788296328.2-99862.6
24
24.6118.6precessed dec89.36260398ThetaA-0.12816552570.128152967614-0.01076716638140.0000850840105139-0.000381376902164-0.0000618223875689-0.0001573248622114-0.000093553072331390.0000130111729514-0.04015653265540.0186194752494-0.007201753523134-0.0049351430341740.001798624518214-0.0033631967180.230190745511-0.040922580.001749571178222.5656978-441199.8173-91.506-14.3076.797120.00432396-0.003623152852232.5014863-547065.5298-178.512-24.74811.71120.02037-0.02029189044117.580467932.5259120.00338-0.0033027578264.257-447202.96712-0.060.05287499726147.4335334.11279.660675.79695546308.4192127-489205.1674158.02914.915-7.02912-0.1578-0.03689720787241.4058477178.6814120.0249-0.02363301265105.679341337.255120.7-0.6642611294105.7341337.3
25
Degrees from NCP0.6373960245N150.00312902142915-0.00213437866540-0.0007318990684650.0003390651298900.00004556645176115-0.00013478686591400.0000717392947915-0.09119463993550.0241646356795-0.012943168391350.0072378374161750.004648596783215-0.0032229567620.230190745512-0.034718920.008527665829297.8502042445267.1115-16.31.832-0.884130.00420043-0.003892685402103.93591911850935.10823.34117.728-8.45130.020130.0124668183888.4122958465.35213-0.003130.001264863584294.447-483070.1691348.888348.75842244357.529109235999.05029-1.5360.0410130.15780.02758967085331.4791-477219.0538130.01760.0175985949387.602-918398.685130.50.499960682187.6-918398.7
26
LST338.105774724160.003378480419160.000709435945341-0.0004009866009660.0003311554245910.0001750086327116-0.0001381503521141-0.0000399972595416-0.08940333024560.007395574523960.000061175403711360.008620384973176-0.0013946728572160.0030109874010.230190745513-0.030383410.003125470851132.4925206513197.917988.43414.388-6.79714-0.003359480.002546565714139.9574183443331.2558-0.1073.988-1.885140.01935-0.01774132753251.5173-960269.036314-0.00312-0.002001783936121.106483333.86614-34.782519.87728767336.43740541303869.578-155.171-7.023.259140.1575-0.05576134846327.1237-380370.888214-0.0145-0.0143716006267.456990396.78614-0.4-0.3517550079235.7890534.2
27
H6s0.007815021844P'0.9999842518-0.005147075242-0.00223690113817-0.00876008075117-0.0000166701122842-0.000808552813667-0.0001808970383920.0001177571544117-0.00001076419361420.00001842278304170.0837588094757-0.020839112970.0047603489811370.0085897029251770.000747179079217-0.002905962970.2301907455140.01532696-0.0107671663949.1562098-75869.8120235.4584.231-2.001150.00246337-0.002385580194196.4799872860538.3226-155.064-11.0085.144150.018740.01510999806347.9895960532.73415-0.001520.001339861498147.37335334.1051530.823825.96343977233.2295176926533.2733-34.1363.705-1.769150.14450.1435094381357.2452-411269.933315-0.0136-0.01174771729237.517890534.22315-0.4-0.3964140367267.5990396.8
28
M530.0079169673570.0051470752420.9999867537-0.00000575702230418-0.0009061296929180.003264427304430.0007768425642680.0001923304869930.00016266907861180.0001115391458143-0.0000493518270618-0.0571948709658-0.00761171252598-0.00012357741521380.0023870871991780.0004200222496218-0.0031619692380.230190745515-0.012527670.003129021435321.507611443602.90321.91213.78-6.566160.002210710.002123315538331.44339851337737.19-65.0943.339-1.653160.018510.0072615921611.8346483925.046816-0.00123-0.001018730879279.863848532.0231624.2085-20.7752206898.2661062449334.4057-124.107-10.6435.02816-0.1381-0.1004493123306.5599-454680.424816-0.0130.007196504935252.8-477067.019160.3-0.1889765264338.91267870.5
29
S12.930519510.99993812160.002236901139-0.0000057565668220.9999974981190.006864208462190.00318959466144-0.0002151053049690.0000223485328940.00008126210548119-0.00013999981411440.0000532480569119-0.0439035842590.0229128093899-0.0082555503641390.00158149414179-0.004607510328219-0.0030906916990.2301907455160.010981470.003378480413308.4192127-489205.1674158.02914.915-7.029170.002065150.0017770463739.9357885-105865.7124-87.006-10.4414.91317-0.014510.01054505126139.8144-3937.7278170.000950.0008080148673218.317481267.88117-23.210423.1155713744.89023411431596.603269.91143.043-20.392170.13480.0741839369219.0126-413203.5065170.0123-0.006134862641162.968477330.71617-0.30.245504503395.8485333.5
30
vx0.01009241072CX0.99999668820.9999966878200.00404935340920-0.000414242577645-0.0001945646137700.000107836557295-0.00013459226761200.000125221206145-0.0000359435771120-0.0376127526460-0.010358672831000.0086384137061400.008022248088180-0.0036733122142200.0030551638260.2301907455170.01067495-0.008760080749336.43740541303869.578-155.171-7.023.25918-0.00186984-0.001838256732129.2935985-924401.8349-57.477-14.0236.68118-0.01408-0.01252329258326.3604962466.3073180.00092-0.0008481610173191.538932536.42318-21.6363-12.8940558201.473994826670.7108-245.142-21.36710.05718-0.1267-0.1265040729220.4892413467.204318-0.01190.00974015078395.795485333.456180.3-0.2979963015220.1-405200.8
31
090y0.00787088177SX-0.0025736511740.00257380635621-0.00364683686421-0.002027872416460.000560451056471-0.0002998008017960.000032141564481210.00005988215494146-0.00008332337842210.05460493695610.019997015941010.01145945724141-0.006950586405181-0.001811807072210.0032297579610.2301907455180.01003439-0.000906129687244.89023411431596.603269.91143.043-20.392190.001827660.0008228446892243.1653061820667.5609-121.142-6.7363.14419-0.013790.003800492798250.1212475196.673190.000880.0008006406716326.5021409735.29119-16.674715.82260758295.3793134481266.1618-17.8361.873-0.884190.12670.008245206724292.3791-444234.4005190.0107-0.0106284788220.095-405200.76719-0.20.16514360368.21403732.1
32
18z0.9999180929CZ0.99999668870.999996687222-0.001116602976220.002369185483470.0006726140468720.000247295500197-0.000003164715631122-0.00002578995526147-0.0000771003574122-0.0548607419262-0.00678383133102-0.01168539608142-0.003325566924182-0.001473290712222-0.0030028521050.2301907455190.008547940.006864208457201.473994826670.7108-245.142-21.36710.05720-0.00179446-0.00179026590590.8012085519201.0678-35.565-0.2430.11620-0.013430.00189290712277.7485-409267.7387200.00082-0.0006588885435142.428407332.2062014.4027-13.23248227190.8101743-541062.3799-302.511-39.37918.62320-0.12360.1184495265205.7982-868015.7802200.0099-0.006234286654338.9081267870.528
33
Distance between other Alt/Az coordinates-166.696122890w0.007815021844mSZ-0.0025734475520.00257401002123-0.001573906242230.001419024863480.0000241339227973-0.00013719814198-0.000039858252751230.0000019624223721480.00001968581013230.04223147007630.01147821176103-0.0084030790031430.0036724721321830.0032725740782230.0031161982140.230190745520-0.007888080.00404935340898.2661062449334.4057-124.107-10.6435.02821-0.001749020.001594235215279.8162981449606.053-102.088-0.8510.34821-0.01288-0.00640747018994.01781371802.10421-0.000790.0007517964049106.4071814936.05821-12.831411.5340967413.13471061331734.0458.90617.971-8.56621-0.1205-0.05434668645263.7606458372.24121-0.00660.0054495805118.1931403732.141
34
Alt-10.53566P1000.007916967357nCT0.99999749810.999997498624-0.001768503601240.0000469236893149-0.00003510636021740.0000331204113799-0.00000076983020511240.0001183143853149-0.0000337558548240.00792898233464-0.007361970712104-0.0088913841491440.0056266646281840.004495915462240.0031958462890.230190745521-0.00676617-0.003646836865233.2295176926533.2733-34.1363.705-1.76922-0.001564540.001556952439315.837797142002.20019-125.535-14.596.913220.01171-0.011588544927.0252474887.534220.000570.0004206758819274.921920530.12322-11.65-6.366526273111.40081681781068.446-65.2017.328-3.538220.120.08215623868216.4928499717.310522-0.00630.005627719527100.737413335.355
35
Az99.9313890100.9999381216pST-0.0022369085460.002236689366250.0021102386525-0.00104719639250-0.000001339277957750.00014845117331000.00002883793551125-0.00009026521525150-0.00003800602147250.00593077607765-0.0084030068651050.0090685901481450.0018506377751850.0044592717932250.0025673045020.230190745522-0.00516242-0.001116602973162.8867928-31931.75611-106.271-12.5165.91323-0.001491220.00148271271131.1223035928469.129-50.3291.548-0.769230.011050.007649005733256.8101-962335.021323-0.000560.000550975308728.651964468.17923-10.4448-8.86820896145.62723121844931.958147.3432.359-15.363230.1162-0.0514827751262.6005-368298.469823-0.00590.005808902264130.022549196.968
36
Angular Separation104.1150219001260.0032333469561510.000002537690822260.04255970107660.017607713641060.0087981004131460.0033448945051860.0041008929422260.00031820817160.2301907455230.00498735-0.001573906244295.3793134481266.1618-17.8361.873-0.88424-0.001475350.001474271334225.7646199996399.935454.40514.105-6.68124-0.010790.003570725792272.4669483547.710224-0.00056-0.0005012030784202.107-1935.8562410.3211-7.34537437449.1562098-75869.8120235.4584.231-2.00124-0.1126-0.07332527723209.3053413315.169224-0.0054-0.005342694713355.05871998.101
37
en+e'n*tcos(un0+un1*t+un2*10^-4*t^2)27-0.001447094648Sv'''0.9910611337Sv'2.878442067a0a11520.0000483751249527-0.04671952233670.003604006978107-0.009596717922147-0.0055847311661870.0021019474492270.00098768685960.2301907455240.00403619-0.00176850360113.13471061331734.0458.90617.971-8.56625-0.00140998-0.00136809908339.220421229995.9004122.46414.672-6.91325-0.01031-0.002559655859133.766485860.5799250.00056-0.0005533787794354.33-1401600.7022510.05629.40044243328.2444765-99862.56252-211.005-25.07211.826250.1125-0.024906200237.8297-413355.5416250.00480.003133619516203.945790671.661
38
Fundamental Arguments___2.5563075480.76801021491.963270309128-0.0000339413488410.985566496513.958011.972851981119.7524131.8489153-0.000072922438828-0.0461343720668-0.01334443756108-0.009729765263148-0.005568387363188-0.003022497439228-0.0003719414310.2301907455250.003994360.002110238653145.62723121844931.958147.3432.359-15.36326-0.001344340.001313617535264.2570099-447202.967232.4930.324-0.116260.009670.00481667915148.1767484301.39260.000550.00042753208884.994-33867.61226-9.8844-9.283431174240.64219818536.1225-29.5293.582-1.76926-0.11230.0750511929343.8467890514.0368260.00390.002363501294113.8721745069.396
39
L111001.729111001.72880.1593092828-0.8189414044-0.1304649678029-0.000474963609621.59784012121.961961.256533681125.0455-1934.13621540.000016317990629-0.0387579949369-0.016446999331090.0074924759881490.001241968001189-0.0041990876962290.0030680979240.2301907455260.003860850.003233346956111.40081681781068.446-65.2017.328-3.53827-0.00133493-0.001234967266204.5781049-37934.9060117.7292.116-127-0.00859-0.008458054256251.9923-2311.333727-0.00054-0.0005282252596333.9141301738.14278.75166.410838999274.1927984-553068.6797-54.513-10.1164.797270.11220.02892750731232.4426-890554.4092270.00360.0002158144505263.476890666.072
40
D102794.2185102794.2182y'2022Julian DayJD2459952.7160.02714-0.446853918-0.012127615341300.0008490782833-1.3681756293-0.31752-0.1834401128233.0867479264.2898-0.02608305351300.04237092348700.01750279438110-0.008947287578150-0.0064195496971900.00389016506230-0.0027036677890.2301907455270.00366502-0.00144709465190.8101743-541062.3799-302.511-39.37918.623280.00110668-0.00110524862138.16233351914798.62235.88242.759-20.276280.008490.004311833155285.4666-374367.738328-0.000460.0004027073629234.972-583064.5828-8.3791-8.180751371162.8867928-31931.75611-106.271-12.5165.91328-0.1069-0.039591148960.7459888600.086828-0.0036-0.003127425368152.075-890402.374
41
l'8644.1773268644.177299m'13t0.2301907455-0.024860.1796810973-0.004466872078031-0.0006450707564-0.12817460840.250320.2441047828107.4411-20.1862310.03887164355710.01734962841111-0.0062938510411510.003703118617191-0.0041106508412310.0023112412790.230190745528-0.00268863-0.0000339413481187.6022864-918398.685-181.476-28.65413.594290.00102068-0.000431852693318.12871751297866.429-31.1727.611-3.654290.00801-0.002241961134239.9516499341.5099290.000450.00044998518650.7281473598.80329-7.0027-7.00214198187.6022864-918398.685-181.476-28.65413.59429-0.105-0.01283991173202.1456510163.3348290.0033-0.00306380261315.6061295734.99
42
l109981.727109981.7286C075.1623117700.997343393701320.00076782990635-0.2284267615-0.228210.161538682281.523222518.4428320.0172980476720.01704266475112-0.0092838014121520.0066499857771920.003432931526232-0.0027410862290.230190745529-0.00260163-0.0004749636112287.28119571379739.39-190.629-11.2515.26300.00083291-0.000567495281269.70950471787071.596-189.201-7.3033.37530-0.007950.00713004686178.5308964092.701430-0.000440.0004329632051198.951824539.272306.3226.0787516572.8136156922465.979173.6716.179-7.68230-0.1050.0992571232257.4688-824605.2887300.00310.00298132363243.113782537.072
43
F111321.9046111321.904B-1375.162311770-0.99954577810033-0.00028146483426-0.297724429260.21892-0.1147862669344.7896-477067.0188330.01799330215730.01197229973113-0.010688785731530.0061924354971930.0038528493282330.0030399989070.2301907455300.002390430.0008490782843328.2444765-99862.56252-211.005-25.07211.826310.0007774-0.0006986436407215.1471134-972407.185192.05815.198-7.14531-0.0076-0.00759995172743.1678503784.927231-0.00041-0.0002107633857245.636784668.511315.75095.699964698267.4559319990396.7856178.40528.736-13.59431-0.1006-0.09549873316340.7609-390816.912631-0.00250.002498865477134.963477198.868
44
Me34659.47732A20111.86880.00622-0.7268665875-0.00452111017434-0.000300589409870.269486044170.20536-0.09694097221254.7188477330.7165340.001155654427740.012728497381140.0045660679121540.0014376722721940.0001998030636234-0.0029625451940.230190745531-0.00234808-0.00064507075772.8136156922465.979173.6716.179-7.682320.000670520.0004714362232294.74609341309872.728-279.171-21.65110.173320.00692-0.001247406513183.352-483220.84732-0.00038-0.000340218643412.407-141864.76332-4.95014.69824831105.6787787341337.2548-119.499-10.7655.028320.0993-0.06839169625109.682-409643.539232-0.00240.002047677694287.062-413203.507
45
Ve13652.2394275.162311770.00556-0.9161275513-0.00509366918535-0.000644791737880.11360679748-0.17881-0.05571946996345.2585480890.683935-0.04006570361750.01256124742115-0.003684842337155-0.0051876407991950.0032960353432350.002823408440.2301907455320.002236160.0007678299045240.64219818536.1225-29.5293.582-1.769330.000607310.0003678269894315.8841104-559071.829569.4874.515-2.116330.00692-0.00069482706739.939483183.188133-0.00035-0.0001507413002159.534-960269.03633-4.42124.163862583.3826241-12006.29979247.99929.262-13.826330.09550.09361980904249.3451-892468.3592330.00240.00225350063170.343958465.029
46
Te8387.1889260.003580.41969019720.00150249090636-0.0012830642299-0.113309221790.177440.176635172767.343932964.467236-0.002429802377760.015027046621160.009930900951156-0.005817810966196-0.003691593574236-0.0029884341280.230190745533-0.00211949-0.0002814648329267.4559319990396.7856178.40528.736-13.594340.00059616-0.000456776066352.35513181361729.941181.36932.643-15.47934-0.00668-0.005459687697128.24411435665.61734-0.000340.0002099361817256.123960532.734344.13112.851246164184.1196211401329.0556125.42818.579-8.79834-0.0851-0.07895445768176.626487271.0312340.0023-0.0002065380539128.524413467.204
47
Ma4761.3530480-0.85856893870370.0003382949042100.1358352018100.1565-0.1563619846276.7408-18.829437-0.02925996858770.01572781441170.010189989161570.002804693342197-0.0039804925642370.0030005771180.230190745534-0.00206875-0.0003005894113355.058218471998.10058-3.0720.0820350.000490550.0004062910794279.8626113848532.022892.93518.254-8.68235-0.00655-0.005246643073108.5203497405.976835-0.000290.00014151234320.61261867.37835-3.9582.492481218338.90829621267870.528-153.636-7.0613.259350.07950.070894896766.7826503409.126735-0.0023-0.0003379782773257.953476229.384
48
Ju732.9586840-0.8932932044038-0.0009438266595110.09761087582110.13703-0.09089202507260.0092475264.731438-0.0397652483378-0.01532044466118-0.0099454826821580.00526272497198-0.002641386004238-0.000019181453480.2301907455350.00204755-0.000644791739105.6787787341337.2548-119.499-10.7655.02836-0.00045123-0.000431771489659.045685419338.5053-246.57-25.31511.941360.006520.004996532426250.5689407312.019336-0.000240.000175881940672.181751072.546363.25822.46166210938.5872012858602.4669-138.871-8.8524.14436-0.0773-0.07711726371333.0802-414304.838936-0.0021-0.002011748839160.4164067.294
49
Sa331.39675640-0.9964878267039-0.0002448245282120.0450427139120.1365-0.08422359692350.0824-479133.003839-0.0294545024679-0.0074264805221190.0086719449881590.006289899085199-0.00034609696092390.0024720976190.230190745536-0.0017731-0.001283064229184.1196211401329.0556125.42818.579-8.798370.000439250.0004275103658311.6181348948394.5854303.9443.326-20.507370.006520.002551844807325.7099-407352.3917370.00022-0.0002117653738174.184507194.76837-3.14833.023433076186.5441986966404.0351-68.058-0.5670.232370.0705-0.0242781373316.1051476447.2666370.00210.001859109612148.0981808932.908
50
00.4736116972040-0.0005840883959130.002387882127130.12370.06606740414208.6855476229.384140-0.0378180576880-0.0066266961141200.0090659304881600.0058584335642000.0035101286882400.00131291190.230190745537-0.001594890.000338294902862.2446071856938.258-100.6593.097-1.537380.000422150.0003862634368238.89933052328133.976113.31132.075-15.248380.006260.00368583471920.9585-362295.3199380.000210.0002082644964180.874-435196.667382.6164-2.160340298.1929291403732.14155.83418.052-8.56638-0.0631-0.05817885743299.8407477158.1138-0.0018-0.001799992201317.715477178.681
51
410.00045670699414-0.06037343977140.10017-0.04015836121311.5895964469.8989241-0.0025825703010.2301907455380.001215-0.0009438266587338.90829621267870.528-153.636-7.0613.259390.000421010.000359539422197.5380749-1024264.397-268.482-39.09518.507390.006090.004304466241274.6895473261.1399390.00019-0.0001346138239137.487479330.306392.3536-1.92643247295.7952154485333.456-125.643-10.6025.028390.06310.0566008256129.9119-477239.6253390.00180.00179640492147.788-477219.054
52
420.00057482186150.0225850394615-0.09543-0.09119466461152.51429037.5128242-0.00074388215850.230190745539-0.00111045-0.000244824528296.47102141920801.77111.88228.128-13.36340-0.000366060.0003374773335191.5382055932536.4232-158.136-10.9265.144400.00606-0.002423229271337.3239-407200.356640-0.00018-0.0001283987547278.1664067.61740-2.11712.102951804220.094807-405200.767-93.042-14.2666.797400.06210.02037936194.6741478231.578740-0.0017-0.001628902242330.715-135861.613
53
Coefficients of Nutations
430.0000823289276116-0.06319149173160.09015-0.0894033306167.7377-2281.22582430.0018789996190.230190745540-0.00089158-0.000584088395638.5872012858602.4669-138.871-8.8524.14441-0.00035119-0.0003195212952326.50161691409735.291-68.1663.421-1.653410.006050.006009478537262.1806407464.0544410.000180.000177879801596.899483183.18841-1.897-1.238470622203.9448849790671.6605-243.606-21.40810.05741-0.06090.0507470366598.12132065.422141-0.00170.00129364825651.627-111868.862
54
nvnv'nene'nun0un1un2vn+v'n*t
sin(un0+un1*t+un2*10^-4*t^2)
440.000402339546917-0.01269266951170.083760.08375880956163.231245036.88562440.0011462671080.230190745541-0.000809590.00045670699468.1929291403732.14155.83418.052-8.566420.000331080.0002181722746204.67291612264270.464-99.237.044-3.422420.005590.005098654101301.9728959431.4016420.00018-0.0001785060785270.354-483220.84742-1.73851.70790800427.9233814-509130.6237-196.241-26.86312.7142-0.0608-0.0580211565332.3536-347406.42142-0.00150.0007652370672333.9671339868.629
55
1-4.77767-0.004842.556250.00025125.0446-1934.136221-4.7787841230.6404375925-3.060512999450.0003368683279180.0621425700518-0.08038-0.05719523909220.1798-1935.5332Sv'2.8488075930.2301907455420.000758860.0005748218602203.9448849790671.6605-243.606-21.40810.057430.00031517-0.0002999288365106.40680991814936.05824.87617.687-8.4543-0.005580.005518660026299.0703-384813.7627430.000170.0001138691133188.093958465.35243-1.5714-0.9523240748113.87170761745069.396-63.6657.287-3.53843-0.0601-0.04057977202352.2127476823.0671430.0014-0.0009584917489341.3791231871.478
56
2-0.3663100.15933-0.00009200.932972001.53976-0.36631-0.57387714370.210216936546-0.0003867635205190.03809462719190.07856-0.0399008833573.6904-969.48350.230190745543-0.000713320.000082328928220.094807-405200.767-93.042-14.2666.797440.00030161-0.0002658653021147.3700907335334.10494.53.866-1.885440.005540.003305727749305.4557452369.0911440.00017-0.0001524741068101.4651886934.15844-1.42260.7411683656246.36422822258267.31424.76921.675-10.33544-0.059-0.0105728971198.0307474917.6418440.0013-0.001129677583307.724-890554.409
57
3-0.0631700.02714076.6333962535.7627-27-0.06317-0.89460693940.0565123203647-0.000468919900920-0.0454458919200.0681-0.0376175817698.08992065.42210.230190745544-0.000700330.000402339547195.7952154485333.456-125.643-10.6025.02845-0.00028316-0.000261493531454.77970931926804.92-12.11713.497-6.45450.00533-0.004059709379115.4239-6972.6334450.00016-0.0001425992512189.067968535.47445-1.41891.043518118173.55061261335801.335-48.9015.496-2.653450.05860.01415248103287.9045-479480.093445-0.00130.00115607430859.126890514.037
58
40.057280-0.024860250.0891-3868.2724420.057280.98372491240.05634776298480.0000646036194821-0.0292318008621-0.062920.05460495911205.5247150.67830.2301907455450.000691360.0003368683277323.3026948-27864.46194-214.077-24.9911.82646-0.00022853-0.0001686604185274.9208296920530.123489.86318.336-8.682460.004850.004271250222308.3905-473129.8539460.00016-0.0001576649581105.132483925.047461.1655-1.147503841130.0216297549196.968286.89914.429-6.797460.05770.04175956698355.1425475263.334546-0.0013-0.001171873017284.325413315.169
59
50.03961-0.0000900357.529135999.0503-20.039589282830.072843359550.002883816364490.0004133571301220.03892795711220.05866-0.05485973147327.1213-380370.88820.2301907455460.00059613-0.000386763520651.6271006-111868.862336.9944.19-2.001470.000223390.0001999346442202.1072141-1935.8557216.1932.156-1470.00457-0.004568292769207.6536-886465.2093470.000160.0001547461206126.823-888402.78547-1.1169-1.108791913179.85364551908795.471359.88157.39-27.189470.05720.05310546949332.9419-856816.076470.00130.00115025789382.849-413355.542
60
60.01978000134.9634477198.8676900.01978-0.03013697836-0.000596109432500.0000909469229423-0.03384813915230.054010.04223143447209.831233718.1470.2301907455470.00054937-0.0004689199009246.36422822258267.31424.76921.675-10.335480.00022294-0.000219347056428.6514127964468.1793-51.8651.589-0.76948-0.004550.004202551636232.0839478822.256848-0.00015-0.0001129507077297.2171273873.678481.06571.054390409355.058218471998.10058-3.0720.082048-0.057-0.038808932885.2157-479134.400848-0.00130.001280087859300.321409268.061
61
7-0.0143600.006220195.9911143999.64023-0.01436-0.68677868640.009862141936510.000300395101224-0.026966430724-0.051270.007928962591132.66665928.93440.2301907455480.000537130.0000646036193179.85364551908795.471359.88157.39-27.18949-0.000220330.0002177253227354.3301871-1401600.702-147.447-28.37113.479490.004180.00373266412854.1859894601.8398490.000150.00010941641172.5232131.43849-0.9333-0.876328890670.3427248958465.029472.13416.22-7.68249-0.05510.0189379041716.3088-468161.354849-0.00130.001228580494193.281-577061.43
62
8-0.0107200.005560311.5888964469.8989-47-0.01072-0.4008869040.00429750761520.000128178664525-0.01050468038250.050710.005932575837357.251-411269.93330.2301907455490.000519660.00041335713113.87170761745069.396-63.6657.287-3.53850-0.00021973-0.00017080399924.9940069-33867.61183-90.077-10.3594.913500.003910.002576340866208.9975440296.6727500.000150.0001406447011328.9731373736.241500.8624-0.6682983266263.6237898381403.5993-228.841-23.19910.94150-0.05340.02126296877225.782411401.219250-0.0012-0.000415496010832.361477158.11
63
9-0.0083600.003580211.59671439734.6363-0.008360.9076674162-0.007588099599530.00012058720940.9910611337260.048640.0425597034355.066831555.95560.230190745550-0.000486940.0000909469225827.9233814-509130.6237-196.241-26.86312.7151-0.00018539-0.0001836526851166.08571491405667.99739.64115.896-7.566510.00391-0.002590133693285.742-896405.5241510.00013-0.0001299573843313.36778001.25510.85120.8154315424160.4159024067.294176-107.806-12.4755.913510.0525-0.036529312898.2942-881496.7102510.00120.0004825498597122.434-477239.625
64
100.00603000203.403836002.489480.00603-0.5126981349-0.003091569754540.0002149155955270.04745-0.04671922664331.4784-477219.05380.230190745551-0.000399210.00030039510146.6853189-39870.7617333.9224.272-2.001520.00018062-0.0001581247928234.9723771-583064.58-176.976-24.78811.71520.00390.003866900925340.1461-373267.2914520.000120.00004607701609240.694856666.61152-0.8488-0.7514281133148.0981221808932.908148.87632.318-15.363520.0516-0.01491687238286.0818486236.380452-0.00110.000951050486210.6641367733.091
65
11-0.00439000259.263-413335.3554123-0.004390.4494744163-0.00197319268855-0.0002586998719280.04745-0.04613478711241.4051477178.68140.230190745552-0.000381270.000128178664583.3826241-12006.29979247.99929.262-13.82653-0.00017745-0.0001774441790.72803131473598.803144.37628.452-13.47953-0.00388-0.0007137043023275.6916481225.7267530.00011-0.0000651006213562.211-485709.90253-0.7956-0.6861503811111.3060056-521136.923551.7582.399-1.11653-0.05040.04499634732100.8011413335.3554530.0011-0.001066488467108.15305338.205
66
120.0035800075.888373935.6758-150.003580.083737753280.0002997811568560.0001520443995290.04642-0.038758330419.0127-413203.50650.2301907455530.000350510.000120587209670.3427248958465.029472.13416.22-7.682540.00017603-0.00008395280128108.2018947343468.6933-211.113-21.0849.94154-0.003860.00370490840576.983454304.624354-0.000110.0001047441871177.429-409267.739540.77850.724185757155.8467629-1018261.247-392.482-53.72625.4254-0.0492-0.001691655136298.133522235.7533540.0011-0.001099831725312.639-1395597.553
67
130.00342000301.6699485336.8951-1170.003420.88073376240.003012109468570.00005648736597300.045830.0423707047192.2174-857569.75590.230190745554-0.000340030.0002149155953263.6237898381403.5993-228.841-23.19910.941550.000165490.00008507259998245.6361969784668.5106-119.606-6.7773.144550.003790.003716762339313.7613896669.221855-0.00011-0.00007832039007207.1442228271.413550.774-0.764905022152.3177843902540.5228-280.599-25.59812.057550.0492-0.00105941293228.455-432161.98255-0.00090.000888026230242.4191467595.653
68
580.00008586814084310.045670.03887109227244.0516-890402.37420.2301907455550.00032968-0.00025869987266.5105827349471.8432-335.112-35.71516.85456-0.000163590.0001493993613339.5415163439263.9616107.69916.463-7.79756-0.003750.002660589399124.6414526303.3756-0.00011-0.0001022801933245.347-407200.35756-0.66970.5576910616280.59064252322130.826237.3146.706-22.161560.04880.03278539725233.4132-404297.842656-0.00080.000772948172925.452-473131.573
69
59-0.0001629455629320.045630.01729806019332.769529929.56150.2301907455560.000326940.0001520443995148.0981221808932.908148.87632.318-15.363570.000131490.00005201795435153.09212891775065.29658.79821.959-10.45157-0.003560.00327681120562.5822482488.598257-0.00011-0.00000893358461170.204407464.05457-0.65750.610439711715.60560141295734.9960.44117.93-8.566570.0461-0.04474784207293.4551-410300.449757-0.0008-0.00077710850649.11525204.218
70
60-0.00006641789662330.045490.01799330828166.0821-40.75760.230190745557-0.000322690.00005648736576130.0216297549196.968286.89914.429-6.79758-0.000119410.000111784471969.6146935-515133.7736-72.241-12.2325.79758-0.003420.003043115132350.7216-341403.2711580.0001-0.00009476832018194.009896537.373580.6571-0.500031426751.6271006-111868.862336.9944.19-2.001580.0456-0.00005206573422178.9132-858978.267458-0.0008-0.0006241342737276.664-589067.73
71
D12061.21611610.00009666396189340.045280.001153436459355.4532890666.07190.2301907455580.000299360.00008586814088160.4159024067.294176-107.806-12.4755.913590.00011526-0.0000562446995520.59960831261867.378-29.6367.571-3.654590.003380.002161793182150.7798-1373604.392590.0001-0.00009845168543156.11499341.51590.59630.586278581287.28119571379739.39-190.629-11.2515.26590.044-0.04024821648108.2005-379617.208459-0.0007-0.0005605685035230.759962532.324
72
T1.230190722SinLamda-0.9528345367RA sun289.1445535y-0.874228463262-0.00007757313294350.04469-0.0400647227862.6015-368298.46980.2301907455590.00029431-0.0001629455628280.59064252322130.826237.3146.706-22.161600.000106530.0001042071255333.91428941301738.14-63.5583.299-1.65360-0.00336-0.0005735872028212.711967931.12960-0.0001-0.00008668546794282.334812532.973600.5788-0.2952914558333.96651461339868.629-156.707-6.9793.25960-0.0437-0.02282752996167.4024446299.8226600.0007-0.000699030121228.081-477217.697
73
Eg279.403303E23.43628753CosE0.9175029133Dec Sun-22.26989565x0.303490272963-0.00000325703745360.04364-0.002426075741220.4891413467.20430.230190745560-0.00027506-0.00006641789645197.20801842334137.126-10.68917.444-8.33461-0.00009773-0.0000618331405180.2785133852599.317-14.8725.779-2.769610.00335-0.00330352332388.72511373868.08961-0.000090.0000729884274454.8261325730.8961-0.51420.318740143466.5105827349471.8432-335.112-35.71516.854610.0435-0.034730001048.056956463.157461-0.0007-0.0004058825951117.737-954265.886
74
Wg282.768422ETanB0-70.85544654640.000151759069137-0.04264-0.02926107119306.5588-454680.42480.2301907455610.000263410.0000966639619555.8467629-1018261.247-392.482-53.72625.42620.00009411-0.0000689684596472.18039561751072.546-187.665-7.3443.37562-0.00308-0.003039138581161.5677481417.1627620.00009-0.00008404048533303.156475196.67362-0.50790.1479463953284.8566182814664.4112.8577.895-3.769620.04320.043191453102.0889-860604.6615620.00070.000697440506785.131-882399.635
75
e0.016713SinE0.3977290587Cos Dec Sun0.9254089646-70.85544654650.00004924603156380.03985-0.0397651527292.3874-444234.40050.2301907455620.0002088-0.0000775731328115.60560141295734.9960.44117.93-8.566630.00009141-0.00005753086378180.9206991-1036270.697-20.483-9.8334.68163-0.00283-0.002487127631158.2395476823.067163-0.00009-0.00008477594212241.372292134.926630.4976-0.489978141300.321095409268.0612-14.7641.791-0.88463-0.04280.03472885122131.1841416370.2611630.00070.0003318877125297.821954529.584
76
Msun4.74065572411888.10577CosLambda0.3034902729sin(ra sun - ra moon)-0.897052328289.144553566-0.00008201538121390.03881-0.02945327801209.3049413315.16920.230190745563-0.00018594-0.00000325703731312.6388751-1395597.553-271.447-43.00220.392640.00008742-0.00008602214933198.950878824539.2723-153.528-11.0495.144640.00279-0.0006580476457267.4739405398.0693640.000090.0000855087751536.7565994.951640.495-0.4678100692193.2810651-577061.4302-300.976-39.41918.62364-0.04280.00406983816367.341232964.4672640.00060.0003974158885116.3431709070.345
77
Ec0.1582804182sinB0cos (dec moon)0.01112442981289.144553519670.0001571691854400.03878-0.037817626657.8292-413355.54160.230190745564-0.000176450.0001517590691333.96651461339868.629-156.707-6.9793.25965-0.000086920.0000836661774174.1838326507194.768212.43429.019-13.71650.4726-0.3557335939139.229387-1030267.547-144.483-24.46411.59465-0.04270.0203801950338.6974935571.108765-0.0006-0.000480740712141.058822603.417
78
Lambdasun287.6673581cosB1sin dec sun-0.378969983416680.0001025241195410.03776-0.03370130839263.7613458372.2410.230190745565-0.000162220.00004924603166207.7770271399664.847163.6430.527-14.47966-0.000084770.00005558746594305.3151019375400.4494-104.842-8.5684.02866-0.4225-0.0598453676477.17440241717204.934-277.742-17.7038.288660.04110.03857757314153.9518-887499.3174660.00060.0005559406488305.948-453206.117
79
B0sin dec moon0.999938121634.69283111690.00002697280626420.037310.03295207811287.6929-845497.33740.230190745566-0.00016203-0.00008201538129111.3060056-521136.923551.7582.399-1.11667-0.00008369-0.00008299819953180.8743857-435196.6674-215.506-28.93813.7167-0.42240.4223351922312.6388751-1395597.553-271.447-43.00220.392670.0397-0.02744247145242.2038478490.423767-0.0006-0.0002904129534108.931817067.496
80
cos (ra sun - ra moon)-0.4419243383700.0000246579432143-0.03645-0.01145965094340.7607-390816.91260.2301907455670.000158770.000157169185477.17440241717204.934-277.742-17.7038.28868-0.000080880.0000470244419490.8475218-81872.96192159.45718.862-8.91468-0.4107-0.3949773548243.1130809782537.0722-27.9933.541-1.769680.0397-0.03316265637209.8262-954265.886468-0.0006-0.0003215098342199.003862669.761
81
D-166.416968Moon position angle-64.00930348710.0000227456257944-0.03534-0.02575844329216.4919499717.31050.230190745568-0.000155730.0001025241195139.229387-1030267.547-144.483-24.46411.594690.000074620.0000668086075312.4066793-141864.7627-85.47-10.4824.913690.3785-0.3606375853207.7770271399664.847163.6430.527-14.47969-0.03880.0212067969302.2798923498.6902
82
Phase0.9860152974y-0.83014026672-0.00004343716428450.034830.02524578226109.6971-409643.53920.230190745569-0.00015470.0000269728062300.321095409268.0612-14.7641.791-0.884700.000073130.00007311429614273.12574482391997.488325.85257.106-27.073700.3551-0.350373860242.41934331467595.653268.37543.083-20.392700.0386-0.0375933447524.3078-415269.4916
83
RA-166.6961228x0.4047196135730.0000937937371460.03054-0.03030788892202.1901510163.33480.230190745570-0.000151640.0000246579431542.41934331467595.653268.37543.083-20.392710.00007058-0.00006812359055284.0822736-57860.36233-336.541-39.66218.739710.3430.32865618330.7153673-135861.6128-209.469-25.11311.826710.0376-0.01159942344148.3721525927.5695
84
Dec90-64.0093034874-0.0000130773047470.029590.01944685231260.86581034.12820.230190745571-0.000148810.00002274562579152.3177843902540.5228-280.599-25.59812.05772-0.00006801-0.0000679491590320.5532951862941.408-224.658-11.5345.376720.33460.325024224749.1098964525204.2177-159.564-14.8747.02972-0.03740.0231644733102.8999480233.7733
85
-64.0093034875-0.00006253159351480.029140.01139538309317.9851282.52720.2301907455720.00013289-0.00004343716431193.2810651-577061.4302-300.976-39.41918.62373-0.000065840.00005905219494101.46502831886934.15821.80517.769-8.45730.3323-0.321064337925.4524906-473131.5735-197.777-26.82212.71730.0374-0.0264021227281.557422518.4428
86
295.9906965760.0000239009799490.028850.02184012898217.3033-375.80050.230190745573-0.000126050.00009379373709319.0830325878527.9232215.39832.926-15.595740.000059380.00004471442794297.21698421273873.678-277.635-21.69210.173740.32330.2522303057276.6636892-589067.7299-52.977-10.1574.797740.0373-0.024234068874.6382-443480.7206
87
295.990696577-0.0000760863666850-0.027560.007871225334205.7945-868015.78020.230190745574-0.00011839-0.00001307730471289.75208651343740.34-189.093-11.2925.26750.00005905-0.00003755602629339.63632752741469.331-9.2621.392-10.21975-0.3218-0.1029722923149.8932068337465.5434-87.113-6.4533.02875-0.03720.0333085776829.6822954529.5841
88
78-0.0001089035907510.026780.024875662090.7459888600.08680.2301907455750.00011676-0.0000625315935113.08839731932808.07-136.117-1.1340.46376-0.0000572-0.00004806253628131.85930051341804.484-172.9-9.1354.2676-0.28660.03202699381212.13781382194403.801-187.772-3.3561.491760.0372-0.02197282373194.3603-474163.962
89
790.0000148994523252-0.02644-0.001823622488333.0947-414304.83890.2301907455760.000114830.00002390097992184.07330781002403.085-69.594-0.5260.23277-0.00004775-0.00001833495805240.6944153856666.6112-122.678-6.6953.144770.284-0.1897315541319.0830325878527.9232215.39832.926-15.59577-0.0358-0.0199288060468.2525-477048.1893
90
80-0.00006984879621530.02549-0.004033542173159.3389-4562.45160.2301907455770.00011229-0.00007608636669173.55061261335801.335-48.9015.496-2.653780.000043860.00003122881999207.14380692228271.413-97.6947.003-3.42278-0.2790.191016029341.37918711231871.478-152.1-7.1013.259780.03570.01805500184338.1715477349.5459
91
81-0.00008386454922540.025030.01861924661343.8472890514.03680.2301907455780.00010959-0.0001089035907212.13781382194403.801-187.772-3.3561.491790.000040670.00003035945034187.31854321838928.808271.33946.99-22.276790.25560.204797469141.058092822603.4166-137.335-8.8934.14479-0.0354-0.0313857265256.2067893569.1287
92
82-0.00002504379242550.025010.02416454746232.4432-890554.40920.230190745579-0.000106150.000014899452464.71549791820939.208-99.1233.056-1.53780-0.000040150.00004004469071155.51670642340140.276-134.6882.813-1.42180-0.2481-0.2298796327305.9483219-453206.1171156.49314.956-7.029800.03490.001134849888313.9481-381779.3998
93
830.000025866916956-0.024750.00739674884732.354-347406.4210.230190745580-0.00010403-0.00006984879627186.590512365330.0053126.96418.538-8.798810.000038690.00003857617472256.1588921451270.2614-140.3-12.7996.029810.24450.1183445673108.9299261817067.496-66.7377.369-3.538810.03490.01607586372280.3017-445642.912
94
840.00001743432649570.02398-0.02083910749321.04783034.90570.230190745581-0.00009933-0.00008386454919199.0031032862669.7611-246.678-21.32610.057820.00003832-0.0000345805704413.86274192805332.843203.28146.423-22.045820.2370.1270005133199.0031032862669.7611-246.678-21.32610.05782-0.0345-0.03244635546210.30943691.8162
95
n-0.00000575680530885-0.0000625084432358-0.02336-0.007612012727257.4887-824605.28870.2301907455820.00009713-0.0000250437923725.4524906-473131.5735-197.777-26.82212.7183-0.000037260.00002639869093137.4865274479330.3061-1.6434.029-1.88583-0.2126-0.150053106236.1163104894601.5172-140.407-8.8114.144830.0343-0.03429827844237.0396-383405.7939
96
m0.002236681958860.00002677305243590.022990.0229128112528.1371-4443.41720.2301907455830.000094390.00002586691697243.1130809782537.0722-27.9933.541-1.769840.00003717-0.00003231131135322.5746636-1501463.265-358.453-53.44325.304840.21250.171767097143.15634031880931.009145.80432.4-15.363840.0335-0.03135289607197.8798-447269.3061
97
870.0000791760092460-0.02288-0.0103596787466.8002503409.12670.230190745584-0.000091290.00001743432645231.43443282398000.638201.85342.475-20.1685-0.00003621-0.0000320482693350.1105248-495208.3173282.02829.546-13.942850.20940.1551797571186.590512365330.0053126.96418.538-8.798850.03280.03224225024267.5876543127.802
98
precessed RA-0.1474684043880.0000233851499661-0.02130.019997376316.1068476447.26660.2301907455850.00008576-0.00006250844326341.37918711231871.478-152.1-7.1013.259860.00003582-0.0000290489909354.82602271325730.89182.90532.602-15.47986-0.20290.1180447454248.8351192222268.26326.30521.634-10.33586-0.0313-0.02537561034107.1223-413184.6771
99
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100
359.852531690-0.0000474649623763-0.019060.011478400628.0621956463.15740.2301907455870.000083570.00007917600925149.8932068337465.5434-87.113-6.4533.02888-0.000032740.00003059964407189.74312072404003.78877.85327.844-13.24788-0.18570.1740892085170.9849105-930404.984866.5230.608-0.23288-0.03120.0185400261345.1736510917.0147