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Planetary Satellite Mean Orbital Parameters
Select from satellites of Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto

WARNING:  These mean orbital parameters are not intended for ephemeris computation. Accurate ephemerides should be obtained from our HORIZONS system. Mean orbital parameters are primarily useful in describing the general shape and orientation of a planetary satellite's orbit.

Satellites of Earth jump to: Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto or [top of page]  

Mean ecliptic orbital elements

Epoch 2000 Jan. 1.50 TT
Solution: DE405/LE405
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Moon 384400. 0.0554 318.15 135.27 5.16 125.08 13.176358 27.322 5.997 18.600 1


Satellites of Mars jump to: Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto or [top of page]  

Mean orbital elements referred to the local Laplace planes

Epoch 1950 Jan. 1.00 TT
Solution: MAR080
Sat. a e w M i node n P Pw Pnode R.A. Dec. Tilt Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr) (deg) (deg) (deg)
Phobos9376.0.0151 150.05791.0591.075207.784 1128.84475690.31891.13162.2617 317.67152.8930.009 5
Deimos23458.0.0002 260.729325.3291.78824.525 285.16187901.262427.370354.5367 316.65753.5290.889 5


Satellites of Jupiter jump to: Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto or [top of page]  

Mean orbital elements referred to the local Laplace planes

Epoch 1997 Jan. 16.00 TT

Sat. a e w M i node n P Pw Pnode R.A. Dec. Tilt Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr) (deg) (deg) (deg)
Io421800.0.0041 84.129342.0210.03643.977203.4889583 1.7691.6257.420268.05764.495 0.000 11
Europa671100.0.0094 88.970171.0160.466219.106 101.37472423.5511.39430.184268.084 64.5060.016 11
Ganymede1070400.0.0013 192.417317.5400.17763.55250.3176072 7.15563.549132.654268.16864.543 0.068 11
Callisto1882700.0.0074 52.643181.4080.192298.84821.5710728 16.69205.75338.82268.63964.749 0.356 11
Amalthea181400.0.0032 155.873185.1940.380108.946 722.63171430.4980.1960.393268.057 64.4950.000 11
Thebe221900.0.0176 234.269135.9561.080235.694 533.70025680.6750.3980.797268.057 64.4950.000 11
Adrastea129000.0.0018 328.047135.6730.054228.378 1206.99880640.2980.0580.116268.057 64.4960.000 11
Metis128000.0.0012 297.177276.0470.019146.912 1221.25459820.2950.0570.115268.057 64.4960.000 11

Mean orbital elements referred to the local Laplace planes

Epoch 2000 Jan. 1.00 TT
Solution: Mean elements - JUP172/JUP173
Sat. a e w M i node n P Pw Pnode R.A. Dec. Tilt Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr) (deg) (deg) (deg)
Himalia11461000.0.1623 331.99568.72127.49657.2451.4367718 250.56137.16282.90275.66767.429 4.269 3
Elara11741000.0.2174 143.591332.96226.627109.373 1.3865491259.64126.42252.49273.200 68.2464.282 3
Pasiphae23624000.0.4090 170.450280.193151.431312.990 0.4841107743.6380.8381.01273.440 67.6453.835 3
Sinope23939000.0.2495 346.394168.397158.109303.081 0.4743709758.9089.2787.54273.266 66.8803.211 3
Lysithea11717000.0.1124 49.486329.12128.3025.5281.3888799 259.20131.52299.88271.35667.115 2.953 3
Carme23404000.0.2533 28.199234.027164.907113.738 0.4903509734.1781.0688.53272.620 66.6892.897 3
Ananke21276000.0.2435 100.619248.793148.8897.6150.5716368 629.77140.85108.96279.08766.152 4.891 3
Leda11165000.0.1636 272.349228.07627.457217.137 1.4942498240.92142.57296.66271.668 66.8482.788 3

Ecliptic mean orbital elements

Epoch 2002 May. 6.00 TT
Solution: JUP261,JUP268,JUP269
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Callirrhoe24102000.0.2829 30.401152.816147.155291.872 0.4744545758.77119.9889.00 42
Themisto7507000.0.2424 219.285162.28243.068191.413 2.7688073130.02682.89532.86 42
Magaclite23808000.0.4211 287.590189.256152.845286.556 0.4781741752.8676.2378.97 42
Taygete23363000.0.2518 239.948154.116165.241312.916 0.4915296732.4180.9188.46 42
Chaldene23179000.0.2514 255.976330.614165.171145.101 0.4974307723.7281.7789.64 42
Harpalyke21104000.0.2261 140.833351.325148.64837.129 0.5775499623.32147.17111.62 42
Kalyke23564000.0.2464 232.768311.512165.18156.116 0.4851387742.0680.9487.84 42
Iocaste21272000.0.2151 68.320345.901149.436276.822 0.5699814631.60145.47111.12 42
Erinome23283000.0.2656 20.169326.051164.921326.560 0.4941918728.4680.5288.34 42
Isonoe23231000.0.2465 125.072186.803165.252138.553 0.4957083726.2381.6989.40 42
Praxidike21148000.0.2302 196.194252.058148.985287.671 0.5756397625.39144.72111.07 42
Autonoe24033000.0.3166 62.045189.372152.284281.030 0.4730593761.0092.5685.14 22
Thyone21192000.0.2377 102.49112.610148.819241.001 0.5739920627.19148.75110.16 22
Hermippe21300000.0.2123 307.220259.734150.887338.558 0.5679090633.90136.53109.94 22
Aitne23315000.0.2655 107.618166.207165.05816.419 0.4930857730.1080.3087.99 22
Eurydome23148000.0.2758 231.855359.454150.206312.918 0.5018521717.34111.1693.08 22
Euanthe21038000.0.2308 324.853113.502148.998261.907 0.5802362620.44143.72111.45 22
Euporie19339000.0.1440 90.162275.952145.49966.4710.6537291 550.699892.85140.57 22
Orthosie21164000.0.2780 223.181340.185145.937228.744 0.5782671622.55141.65107.60 22
Sponde23790000.0.3132 73.467224.949151.153127.419 0.4810854748.3197.5787.19 22
Kale23302000.0.2521 54.040274.112165.07268.8510.4934581 729.5581.3789.02 22
Pasithee23090000.0.2668 243.393283.236165.033338.036 0.5003783719.4680.6288.98 22
Hegemone23566000.0.3439 211.543291.025153.977330.405 0.4865844739.8585.2684.84 43
Mneme21036000.0.2271 47.38133.617148.63020.3860.5805862 620.06147.53112.14 43
Aoede23969000.0.4324 73.579241.676158.253185.230 0.4728055761.4169.1976.94 43
Thelxinoe21165000.0.2194 319.12639.419151.335176.805 0.5731589628.10131.24110.68 43
Arche23355000.0.2555 182.844100.181164.937349.250 0.4918684731.9081.0788.55 43
Kallichore23273000.0.2424 19.438117.529165.12139.1200.4943141 728.2881.9389.65 43
Helike21064000.0.1467 308.006175.441154.62197.744 0.5747871626.32129.08114.99 43
Carpo17078000.0.4436 90.238300.32551.15743.5260.7890326 456.2514456.43113.65 43
Eukelade23322000.0.2670 319.562264.872165.246202.851 0.4929317730.3280.1287.98 43
Cyllene23787000.0.4175 203.208173.914150.202265.547 0.4787190752.0180.1180.05 43
Kore24486000.0.3315 146.44268.764145.043322.282 0.4635594776.60108.3184.45 43

Ecliptic mean orbital elements

Epoch 2002 May. 6.00 TT
Solution: JUP270
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Herse23405000.0.2493 338.480199.693164.815303.508 0.4900989734.5580.8988.22 44
S/2003J228332000.0.4114 173.340231.301157.106355.955 0.3675978979.3360.3563.03 44
S/2003J320230000.0.2027 71.743120.308147.772237.744 0.6165714583.87179.02123.43 44
S/2003J423928000.0.3558 204.631311.008149.316188.149 0.4766827755.2289.9882.80 44
S/2003J523493000.0.2459 102.99333.703165.278188.371 0.4873116738.7580.9787.99 44
S/2003J923385000.0.2641 304.83848.407165.15555.0920.4909224 733.3180.2887.90 44
S/2003J1023042000.0.4284 183.464327.589165.224162.640 0.5025957716.2867.9680.10 44
S/2003J1217835000.0.4884 21.770308.800150.82773.1200.7352070 489.6697.96108.82 44
S/2003J1522622000.0.1868 22.241149.808146.405244.678 0.5219129689.77193.01104.27 44
S/2003J1620948000.0.2309 66.63377.926148.63124.0810.5841036 616.33151.57112.81 44
S/2003J1820494000.0.1016 103.27232.964146.007166.444 0.6018926598.111542.46131.01 44
S/2003J1923532000.0.2620 186.391278.387165.17436.396 0.4862333740.3980.1587.51 44
S/2003J2323549000.0.2702 261.641207.495146.26751.018 0.4914881732.47131.3092.26 44


Satellites of Saturn jump to: Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto or [top of page]  

Mean orbital elements referred to the local Laplace planes

Epoch 2000 Jan. 1.50 TT

Sat. a e w M i node n P Pw Pnode R.A. Dec. Tilt Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr) (deg) (deg) (deg)
Mimas185539.0.0196 332.47814.8761.574173.026 381.99449770.9420.4930.98640.584 83.5380.000 41
Enceladus238037.0.0047 188.31910.6900.009343.266 262.73189811.3701.3062.36440.581 83.5380.001 41
Tethys294672.0.0001 44.843243.7271.091259.845 190.69791131.8882.4904.98240.572 83.5390.002 41
Dione377415.0.0022 284.111322.2420.028290.615 131.53493082.7375.85211.70940.539 83.5420.007 41
Rhea527068.0.0010 213.663207.7670.333351.018 79.69004624.51834.09135.83240.320 83.5600.037 41
Titan1221865.0.0288 179.920163.3080.31228.75822.5769756 15.95356.43722.0636.12883.956 0.641 41
Hyperion1500934.0.0232 303.16286.3380.615263.88216.9199504 21.28128.03154.7036.35683.860 0.565 41
Iapetus3560851.0.0293 271.599201.8108.31381.1894.5379420 79.331678.153445.31284.63878.750 15.215 41
Phoebe12947913.0.1634 342.50153.037175.243241.087 0.6541856550.30460.92723.17275.954 67.45526.723 41

Mean orbital elements referred to the Saturn equator

Epoch 2004 Jan. 1.00 TT

Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Janus151460.0.0068 241.778242.7540.16346.899 518.23888340.6950.2410.482 47
Epimetheus151410.0.0098 312.630308.3220.35185.244 518.48282000.6940.2400.481 47
Helene377420.0.0071 292.056134.0700.21340.039 131.53493092.7375.82311.704 49
Telesto294710.0.0002 341.795200.1431.180300.256 190.69783861.8882.4884.982 49
Calypso294710.0.0005 234.788101.9611.49925.327 190.69783861.8882.4874.983 49
Atlas137670.0.0012 331.521157.7380.0030.500598.3099854 0.6020.1720.344 47
Prometheus139380.0.0022 164.389242.2240.008259.504 587.28523700.6130.1790.359 47
Pandora141720.0.0042 83.461202.6970.050327.215 572.78852280.6290.1900.381 47
Pan133580.0.0000 139.318246.0650.00140.557 626.03173690.5750.1540.309 47
Methone194440.0.0001 292.695163.7350.007321.745 356.58605391.0100.4050.987 47
Pallene212280.0.0040 216.475125.9090.181114.430 312.02713031.1540.7901.582 47
Polydeuces377200.0.0192 200.028191.2200.177304.799 131.53474412.7375.87911.938 47
Daphnis136500.0.0000 0.000306.1350.0000.000605.9791537 0.5940.0000.000 47

Mean ecliptic orbital elements

Epoch 2000 Jan. 1.00 TT

Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Ymir23140400.0.3337 39.505230.935171.661210.828 0.27364371315.58251.21333.46 49
Paaliaq15024000.0.5402 235.510306.40741.770354.940 0.5236065687.54536.79301.39 49
Tarvos18263200.0.5309 277.448269.57835.94989.3560.3888339 925.85215.12374.77 49
Ijiraq11367400.0.4580 67.01529.76547.123153.3840.7973041 451.522447.79691.28 49
Suttungr19476700.0.1139 60.106320.639173.888253.045 0.35409541016.68405.79637.28 49
Kiviuq11311100.0.1642 92.805168.85848.525351.9910.8015510 449.131490.361280.50 49
Mundilfari18667900.0.2051 301.22194.443169.20678.0720.3778238 952.83267.44367.52 49
Albiorix16401100.0.4838 56.75931.85535.511102.0420.4594642 783.52265.73359.48 49
Skathi15614300.0.2939 212.980102.213150.798281.731 0.4944357728.10600.65552.94 49
Erriapus17611400.0.4676 287.615304.52638.649134.674 0.4134136870.80238.75478.66 49
Siarnaq18015400.0.4052 69.203189.64644.50760.9170.4015878 896.44639.41326.57 49
Thrymr20439600.0.4655 97.99789.578173.656258.9620.3290414 1094.09333.91548.93 49
Narvi19417300.0.4261 180.865104.658143.242175.404 0.35865891003.74417.44411.07 49
Aegir20749800.0.2524 246.80324.739167.106183.380 0.32205291117.83264.42336.09 50
Bebhionn17117800.0.4840 0.182167.31834.563197.9130.4311761 834.93236.35328.87 50
Bergelmir19338300.0.1417 138.963305.094158.919206.334 0.35793171005.78362.44426.29 50
Bestla20278000.0.4738 80.900254.509141.739288.848 0.33105711087.43299.11307.33 50
Farbauti20387000.0.2453 344.282279.864158.045135.255 0.33118811087.00304.06352.87 50
Fenrir22454800.0.1332 125.350131.329164.444230.177 0.28562001260.42285.73346.84 50
Fornjot25151200.0.2102 326.612213.675169.697261.584 0.24093341494.19246.19299.41 50
Hati19775000.0.3728 19.658176.485164.955323.348 0.34647791039.03281.18370.48 50
Hyrokkin18437300.0.3288 270.538290.762151.24542.971 0.3863528931.79387.16374.13 50
Kari22077100.0.4842 163.182284.935155.902279.822 0.29249071230.81233.10270.29 50
Loge23065500.0.1881 28.991337.509167.162340.213 0.27451301311.41269.78334.32 50
Skoll17663300.0.4704 194.38843.103160.178298.253 0.4098387878.39311.04408.90 50
Surtur22920400.0.4466 306.948145.641169.141239.715 0.27767301296.49213.91278.39 50
Jarnsaxa19356400.0.2171 232.068199.471163.32218.065 0.35750321006.98312.43396.09 52
Greip18442200.0.3160 137.940313.455173.343335.478 0.3847720935.62352.49536.48 52
Tarqeq17909900.0.1186 61.169132.06049.57292.7480.4057231 887.302162.65691.54 52
S/2004_S721005800.0.5295 80.61280.903164.862337.9950.3157784 1140.04231.75309.32 53
S/2004_S1219867500.0.3228 86.6279.612163.309307.4870.3441218 1046.14300.63395.64 53
S/2004_S1318408700.0.2604 355.36441.342169.079214.792 0.3856260933.55311.57426.62 53
S/2004_S1719449900.0.1810 172.481230.084167.96818.768 0.35482181014.59305.99406.58 53
S/2006_S118797400.0.1183 155.90891.988154.990335.103 0.3736641963.43402.48490.20 53
S/2006_S322100100.0.4042 187.263158.916158.904211.265 0.29337191227.11244.12284.72 53
S/2007_S216723300.0.1778 55.97784.178175.643109.4630.4454344 808.20261.41341.76 53
S/2007_S318981900.0.1847 289.603292.910175.70494.763 0.3681733977.80231.11295.78 53


Satellites of Uranus jump to: Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto or [top of page]  

Mean equatorial orbital elements

Epoch 1980 Jan. 1.0 TT
Solution: GUST86 - Laskar and Jacobson (1987) A&A 188, pp. 212-224 (converted to ICRF)
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Ariel190900.0.0012 115.34939.4810.04122.394142.8356579 2.52028.78857.248 10
Umbriel266000.0.0039 84.70912.4690.12833.48586.8688879 4.14463.146126.951 10
Titania436300.0.0011 284.40024.6140.07999.77141.3514246 8.706161.525195.369 10
Oberon583500.0.0014 104.400283.0880.068279.771 26.739488813.46161.52195.37 10
Miranda129900.0.0013 68.312311.3304.338326.438 254.69065761.4138.91317.727 10

Mean equatorial orbital elements

Epoch 1986 Jan. 19.50 TT
Solution: URA039 - Jacobson (1998) AJ 115, pp. 1195-1199
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Cordelia49800.0.0003 136.827254.8050.08538.374 1074.51831620.3350.3280.657 9
Ophelia53800.0.0099 17.761116.2590.104164.048 956.42833300.3760.4310.862 9
Bianca59200.0.0009 8.293138.4860.19393.220828.3879607 0.4350.6031.206 9
Cressida61800.0.0004 44.236233.7950.00699.403776.5824144 0.4640.7011.402 9
Desdemona62700.0.0001 183.285184.6270.113306.089 760.05553930.4740.7371.474 9
Juliet64400.0.0007 223.819244.6960.065200.155 730.12613490.4930.8091.619 9
Portia66100.0.0001 222.433218.3120.059260.067 701.48648140.5130.8881.777 9
Rosalind69900.0.0001 140.477136.1810.27912.847 644.63041830.5581.0812.163 9
Belinda75300.0.0001 42.406357.2240.031279.337 577.36028850.6241.3972.796 9
Puck86000.0.0001 177.094245.7960.319268.734 472.54458780.7622.2244.448 9

Mean equatorial orbital elements

Epoch 2004 Aug. 25.50 TT
Solution: Showalter (2006) Science, 311, 973
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Perdita76417.0.0116 253.925192.4050.470309.376 564.24695900.6381.4792.958 51
Mab97736.0.0025 249.565273.7690.134350.737 390.05010700.9233.5027.004 51
Cupid74392.0.0013 247.608163.8300.099182.793 587.44364900.6131.3462.693 51

Mean orbital elements referred to the Ecliptic

Epoch 2000 Jan. 1.50 TT
Solution: URA090
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Caliban7231100.0.1812 354.3397.271141.529171.1890.6209758 579.738936.316445.52 16
Sycorax12179400.0.5219 20.103266.583159.420263.034 0.27942171288.381393.431863.29 16
Prospero16276800.0.4445 174.152233.586151.830319.003 0.18196791978.371155.471370.39 16
Setebos17420400.0.5908 359.953179.449158.235250.235 0.16179212225.08823.911044.20 16
Stephano8007400.0.2248 14.956270.163143.819191.411 0.5313866677.475484.235182.20 16
Trinculo8505200.0.2194 158.688180.374166.971193.755 0.4803847749.402592.774273.04 16
Francisco4282900.0.1324 140.6443.202147.250100.7381.3478663 267.0912574.3614080.40 16
Margaret14146700.0.6772 90.017322.18757.3677.0670.2167366 1661.0012057739.22987.08 16
Ferdinand20430000.0.3993 156.29826.163169.793217.350 0.12903112790.03747.301001.70 16


Satellites of Neptune jump to: Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto or [top of page]  

Mean orbital elements referred to the local Laplace planes

Epoch 2000 Jan. 1.50 TT

Sat. a e w M i node n P Pw Pnode R.A. Dec. Tilt Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr) (deg) (deg) (deg)
Triton354759.0.0000 66.142352.257156.865177.608 61.25726385.877386.371687.446 299.45643.4140.010 54
Nereid5513818.0.7507 281.117216.6927.090335.5700.9996276 360.138091.459455.73269.30269.117 30.011 54

Mean orbital elements referred to the local Laplace planes

Epoch 2000 Jan. 1.50 TDT
Solution: Voyager, HST, and Astrometric data solution
Sat. a e w M i node n P Pw Pnode R.A. Dec. Tilt Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr) (deg) (deg) (deg)
Naiad48227.0.0003 2.04530.0354.69142.2791222.8435847 0.2940.2890.575299.43142.940 0.448 55
Thalassa50074.0.0002 237.065262.9230.135145.980 1155.75597490.3110.3270.654299.431 42.9390.449 55
Despina52526.0.0002 176.857230.8120.06877.060 1075.73306740.3350.3870.774299.431 42.9370.451 55
Galatea61953.0.0001 343.01165.9990.03437.247839.6613030 0.4290.6901.380299.43042.925 0.462 55
Larissa73548.0.0014 249.891166.2460.205308.127 649.05407700.5551.2572.516299.429 42.8970.490 55
Proteus117646.0.0005 67.968250.9380.075315.131 320.76562451.1226.38012.727299.406 42.4320.974 54

Mean ecliptic orbital elements

Epoch 2003 Jun. 10.00 TT
Solution: NEP078
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Halimede16611000.0.2646 157.509109.896112.712217.477 0.19158291879.086741.3818525.29 56
Psamathe48096000.0.3809 149.685200.132126.312317.172 0.03967259074.302774.292438.14 56
Sao22228000.0.1365 62.621170.12853.48361.4280.1235960 2912.7214955.677090.66 56
Laomedeia23567000.0.3969 137.898292.50237.87453.2350.1135170 3171.332565.844059.13 56
Neso49285000.0.5714 87.229259.701136.43951.3250.0369582 9740.731517.16815.58 56


Satellites of Pluto jump to: Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto or [top of page]  

Mean barycentric orbital elements referred to the mean Charon orbit

Mean orbit ICRF right ascension = 133.05142 deg, Mean orbit ICRF declination = -6.17674 deg
Epoch 2000 Jan. 1.50 TT
Solution: PLU017
Sat. a e w M i node n P Pw Pnode Ref.
(km) (deg) (deg) (deg) (deg) (deg/day) (days) (yr) (yr)
Charon17536.0.0022 71.255147.8480.00185.18756.3624446 6.3870.0000.000 48
Nix48708.0.0030 270.877260.6880.195273.440 14.483934024.862.484.76 48
Hydra64749.0.0051 149.649336.7600.212102.4699.4229078 38.207.0114.21 48


Common Table Column Headings:

 aSemi-major Axis (mean value)
eEccentricity (mean value)
wArgument of periapsis (mean value)
MMean anomaly (mean value)
iInclination with respect to the reference plane: ecliptic, ICRF, or local Laplace (mean value)
nodeLongitude of the ascending node (mean value) measured from the node of the reference plane on the ICRF equator
nLongitude rate (mean value)
PSidereal period (mean value)
PwArgument of periapsis precession period (mean value)
PnodeLongitude of the ascending node precession period (mean value)

Headings only for elements with respect to the local Laplace plane:

 R.A.
Dec.
Right ascension and ...
Declination of the Laplace plane pole with respect to the ICRF.
TiltThe angle between the planet equator and the Laplace plane.


REFERENCES

1. Standish, E.M. (2001) ``Approximate Mean Ecliptic Elements of the Lunar Orbit'', JPL IOM 312.F-01-004

2. Jacobson, R.A. (2003) ``Reconstruction of the Voyager Saturn Encounter Orbits in the ICRF System'', Paper No. AAS 03-198, 13th AAS/AIAA Space Flight Mechanics Meeting, Ponce, Puerto Rico.

3. Jacobson, R.A. (2000) ``The orbits of the outer Jovian satellites'', Astronomical Journal 120, 2679-2686. Note: the mean motions and periods appearing in the reference are incorrect for the retrograde satellites. The correct values appear here.

4. Jacobson, R.A., Riedel, J.E. and Taylor, A.H. (1991) ``The orbits of Triton and Nereid from spacecraft and Earthbased observations'', Astronomy & Astrophysics 247, 565.

5. Jacobson, R.A. (2008) ``Ephemerides of the Martian Satellites - MAR080'', JPL IOM 343R-08-006

6. Jacobson, R.A. (1996) ``Orbits of the Saturnian Satellites from Earthbased and Voyager Observations'', Bull. American Astronomical Society 28(3), 1185.

7. Jacobson, R.A. (1997) JUP120 - JPL satellite ephemeris.

8. Jacobson, R.A. (1998) ``The orbit of Phoebe from Earthbased and Voyager observations'', Astronomy & Astrophysics Supp.  128, 7.

9. Jacobson, R.A. (1998) ``The orbits of the inner Uranian satellites from Hubble Space Telescope and Voyager 2 observations'', Astronomical Journal 115, 1195.

10. Laskar, J. and Jacobson, R.A. (1987) ``GUST86. An analytical ephemeris of the Uranian satellites'', Astronomy & Astrophysics 188, 212.

11. Jacobson, R.A. (2003) JUP230 - JPL satellite ephemeris.

12. Jacobson, R.A. (2007) SAT270, SAT271 - JPL satellite ephemerides.

13. Tholen, D .J. and Buie, M. W. (1990) ``Further Analysis of Pluto-Charon Mutual Event Observations'',Bull. American Astronomical Society 22(3), 1129.

14. Owen, W.M., Vaughan, R.M, and Synnott, S.P. (1991) ``Orbits of the Six New Satellites of Neptune'', Astronomical Journal  101, 1511.

15. Showalter, M.R. (1991) ``Visual detection of 1981S13, Saturn's eighteenth satellite, and its role in the Encke gap'', Nature 351, 709.

16. Brozovic, M. and Jacobson, R. A. (2009) ``The Orbits of the Outer Uranian Satellites'', Astronomical Journal  137, 3834.

17. Jacobson, R.A. (2000) URA047 - JPL satellite ephemeris.

18. Jacobson, R.A. (2001a) JUP185 - JPL satellite ephemeris.

19. Jacobson, R.A. (2004) ``The orbits of the major Saturnian satellites and the gravity field of Saturn from spacecraft and Earthbased observations'',Astronomical Journal 128, 492.

20. Jacobson, R.A. (2001c) ``The Orbits of Jupiter and its Galilean Satellites and the Gravity Field of the Jovian System'', Jupiter: The Planet, Satellites, and Magnetosphere, Boulder, Colorado.

21. Jacobson, R.A. (2001d) ``The Gravity Field of the Jovian System and the Orbits of the Regular Jovian Satellites'', 33rd Annual Meeting of the Division for Planetary Sciences, New Orleans, Louisiana.

22. Jacobson, R.A. (2009) JUP269 - JPL satellite ephemeris.

23. Lieske, J.H. (1998) ``Galilean satellite ephemerides E5'', Astronomy & Astrophysics Supp. 129, 205.

24. Jacobson, R.A. (2003) URA066 - JPL satellite ephemeris.

25. Jacobson, R.A. (2002) JUP242 - JPL satellite ephemeris.

26. Jacobson, R.A. (2003) JUP219 - JPL satellite ephemeris.

27. Jacobson, R.A. (2003) NEP029 - JPL satellite ephemeris.

28. Jacobson, R.A. (2003) JUP222 - JPL satellite ephemeris.

29. Jacobson, R.A. (2003) JUP224 - JPL satellite ephemeris.

30. Jacobson, R.A. (2003) JUP226 - JPL satellite ephemeris.

31. Jacobson, R.A. (2003) JUP227 - JPL satellite ephemeris.

32. Jacobson, R.A. (2007) SAT270 - JPL satellite ephemeris.

33. Jacobson, R.A. (2006) JUP256 - JPL satellite ephemeris. Fit to all observations from discovery to August 2006.

34. Jacobson, R.A. (2004) JUP251 - JPL satellite ephemeris.

35. Jacobson, R.A. (2004) JUP252 - JPL satellite ephemeris

36. Jacobson, R.A. (2003) NEP041 - JPL satellite ephemeris

37. Jacobson, R.A. (2003) URA067 - JPL satellite ephemeris

38. Jacobson, R.A. (2007) NEP057 - JPL satellite ephemeris

39. Jacobson, R.A. (2003) URA068 - JPL satellite ephemeris

40. Jacobson, R.A. (2003) URA072 - JPL satellite ephemeris

41. Jacobson, R.A. (2009) SAT317 - JPL satellite ephemeris.

42. Jacobson, R.A. (2006) JUP261 - JPL satellite ephemeris.

43. Jacobson, R.A. (2009) JUP268 - JPL satellite ephemeris.

44. Jacobson, R.A. (2009) JUP270 - JPL satellite ephemeris.

45. Jacobson, R. A. and Owen, Jr., W. M. (2004) ``The orbits of the inner Neptunian satellites from Voyager, Earthbased, and Hubble Space Telescope observations'', Astronomical Journal 128, 1412.

46. Jacobson, R. A. and French, R. G. (2004) ``Orbits and Masses of Saturn's Coorbital and F-ring Shepherding Satellites'', Icarus 172, 382.

47. Spitale, J. N., Jacobson, R. A., Porco, C. C., and Owen, Jr., W. M. (2006) ``The Orbits of Saturn's Small Satellites Derived from Combined Historic and Cassini Imaging Observations'', Astronomical Journal 132, 692.

48. Jacobson, R.A. (2007) PLU017 - JPL satellite ephemeris.

49. Jacobson, R.A. (2008) SAT295 - JPL satellite ephemeris.

50. Jacobson, R.A. (2008) SAT296 - JPL satellite ephemeris.

51. Showalter, M. R. and Lissauer, J. J. (2006) ``The Second Ring-Moon System of Uranus: Discovery and Dynamics'', Science 311, 973.

52. Jacobson, R.A. (2008) SAT297 - JPL satellite ephemeris.

53. Jacobson, R.A. (2008) SAT298 - JPL satellite ephemeris.

54. Jacobson, R. A. (2009) ``The Orbits of the Neptunian Satellites and the Orientation of the Pole of Neptune'', Astronomical Journal 137, 4322.

55. Jacobson, R.A. (2008) NEP077 - JPL satellite ephemeris.

56. Jacobson, R.A. (2008) NEP078 - JPL satellite ephemeris.

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