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Planetary Satellite Mean Elements

Mean elements, in this context, are simply the elements of a precessing ellipse which has been fit in a least squares sense to the numerically integrated orbit. Please see the warning above.

Table column headings are described below.

Satellites of Earth

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: DE405/LE405 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
Moon 301 384400. 0.0554 318.15 135.27 5.16 125.08 27.322 5.997 18.600 n/a

Satellites of Mars

mean orbital elements referred to the local Laplace planes
Epoch: 2000-01-01.5 TDB
Ephemeris: MAR097 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
R.A.
(deg)
Dec.
(deg)
Tilt
(deg)
Ref.
 
Phobos 401 9400. 0.015 216.3 189.6 1.1 169.2 0.319033 1.132 2.262 317.7 52.9 0.0 11
Deimos 402 23500. 0.000 0.0 205.0 1.8 54.4 1.262361 0.000 54.537 316.7 53.5 0.9 11

Satellites of Jupiter

mean orbital elements referred to the local Laplace planes
Epoch: 2000-01-01.5 TDB
Ephemeris: JUP365 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
R.A.
(deg)
Dec.
(deg)
Tilt
(deg)
Ref.
 
Io 501 421800. 0.004 49.1 330.9 0.0 0.0 1.762732 1.333 0.000 268.1 64.5 0.0 26
Europa 502 671100. 0.009 45.0 345.4 0.5 184.0 3.525463 1.394 30.202 268.1 64.5 0.0 26
Ganymede 503 1070400. 0.001 198.3 324.8 0.2 58.5 7.155588 68.301 137.812 268.2 64.6 0.1 26
Callisto 504 1882700. 0.007 43.8 87.4 0.3 309.1 16.690440 277.921 577.264 268.7 64.8 0.4 26
Amalthea 505 181400. 0.003 180.1 310.6 0.4 282.9 0.499918 0.196 0.393 268.1 64.5 0.0 26
Thebe 514 221900. 0.018 26.6 182.1 1.1 340.4 0.676105 0.398 0.797 268.1 64.5 0.0 26
Adrastea 515 129000. 0.000 0.0 214.5 0.0 0.0 0.298260 0.000 0.000 268.1 64.5 0.0 26
Metis 516 128000. 0.000 0.0 166.0 0.0 0.0 0.294779 0.000 0.000 268.1 64.5 0.0 26

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: JUP344 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
Himalia 506 11440600. 0.160 328.4 66.5 28.1 68.2 250.562210 138.078 285.676 24
Elara 507 11712300. 0.211 140.1 330.7 27.9 118.1 259.639884 127.616 261.624 24
Pasiphae 508 23468200. 0.412 264.8 277.8 148.4 312.3 743.612321 81.126 80.786 24
Sinope 509 23683900. 0.264 96.6 167.5 157.3 304.6 758.849903 88.675 87.408 24
Lysithea 510 11700800. 0.117 47.4 331.5 27.2 7.1 259.198081 129.737 286.328 24
Carme 511 23144400. 0.256 155.0 234.0 164.6 117.5 734.185280 81.289 88.540 24
Ananke 512 21034500. 0.237 56.2 259.4 147.6 17.6 629.791691 142.376 110.506 24
Leda 513 11146400. 0.162 270.9 233.4 28.6 215.7 240.926609 146.033 310.776 24
Callirrhoe 517 23795500. 0.297 180.5 107.1 145.1 281.5 758.860222 119.762 89.001 24
Themisto 518 7398500. 0.340 236.2 284.7 43.8 209.5 130.028096 - 420.197 24
Magaclite 519 23644600. 0.421 85.1 138.1 149.8 280.3 752.861984 77.078 79.432 24
Taygete 520 23108000. 0.253 341.0 95.7 164.7 305.9 732.451194 81.237 88.733 24
Chaldene 521 22930500. 0.265 335.0 266.2 164.7 134.4 723.712689 81.657 89.543 24
Harpalyke 522 20892100. 0.232 71.3 219.3 147.7 30.2 623.316099 145.025 111.952 24
Kalyke 523 23302600. 0.260 130.3 256.0 164.8 45.3 742.015252 80.786 87.701 24
Iocaste 524 21066700. 0.227 244.7 215.5 148.8 268.9 631.593822 145.877 110.871 24
Erinome 525 23032900. 0.276 98.2 265.5 164.4 314.3 728.482799 80.374 88.108 24
Isonoe 526 22981300. 0.249 213.5 124.9 164.8 132.2 726.273223 82.135 89.957 24
Praxidike 527 20935400. 0.246 357.2 112.2 148.3 278.4 625.389698 146.445 110.385 24
Autonoe 528 23792500. 0.330 228.3 145.7 150.8 271.8 761.001946 92.519 85.278 24
Thyone 529 20978000. 0.233 343.5 244.4 147.5 235.0 627.175794 146.131 111.518 24
Hermippe 530 21108500. 0.219 356.6 134.7 150.2 331.0 633.904723 135.082 110.661 24
Aitne 531 23064400. 0.277 81.3 106.0 164.6 8.2 730.100120 80.391 88.413 24
Eurydome 532 22899000. 0.294 340.2 286.3 149.1 302.5 717.308142 111.830 93.152 24
Euanthe 533 20827000. 0.239 169.8 336.5 148.0 253.7 620.437937 142.520 111.810 24
Euporie 534 19265800. 0.148 329.8 72.2 145.7 58.4 550.686793 - 138.419 24
Orthosie 535 20901000. 0.299 140.1 200.7 144.3 219.1 622.585958 143.587 106.485 24
Sponde 536 23543300. 0.322 184.9 173.8 149.3 120.5 748.294484 98.176 87.481 24
Kale 537 23052600. 0.262 283.6 212.7 164.6 60.8 729.642670 81.337 88.943 24
Pasithee 538 22846700. 0.270 295.2 216.0 164.6 329.1 719.465077 81.009 89.472 24
Hegemone 539 23348700. 0.358 282.2 233.7 152.6 320.1 739.806820 85.714 84.710 24
Mneme 540 20821000. 0.247 18.5 253.7 148.0 11.6 620.068159 148.789 111.345 24
Aoede 541 23778200. 0.436 72.9 198.8 155.7 174.5 761.464554 69.343 76.914 24
Thelxinoe 542 20976000. 0.228 333.4 267.9 150.6 170.1 628.025732 131.527 110.790 24
Arche 543 23097800. 0.261 213.5 39.8 164.6 339.7 731.879533 81.361 88.615 24
Kallichore 544 23021800. 0.252 310.1 54.2 164.8 30.3 728.259347 82.013 89.444 24
Helike 545 20915700. 0.153 118.1 44.2 154.4 91.7 626.325893 128.151 115.019 24
Carpo 546 17042300. 0.416 86.6 339.8 53.2 54.0 456.286617 - 112.238 24
Eukelade 547 23067400. 0.277 283.7 203.6 164.6 192.2 730.301672 79.958 87.844 24
Cyllene 548 23654700. 0.419 47.8 121.3 146.8 252.6 751.974673 80.253 79.350 24
Kore 549 24205200. 0.328 229.3 31.8 141.5 314.6 776.763241 108.568 85.006 24
Herse 550 23150500. 0.262 101.2 141.2 164.4 292.7 734.522343 80.841 88.139 24
S2010_J1 551 23189800. 0.252 344.2 161.1 164.5 283.1 736.512347 81.202 88.194 24
S2010_J2 552 20793000. 0.248 15.1 306.3 148.1 3.0 618.841217 148.128 111.338 24
Dia 553 12260300. 0.232 176.8 309.6 29.0 292.3 278.212821 118.591 245.340 24
S2016_J1 554 20802600. 0.232 197.8 192.4 144.7 231.7 618.491978 172.452 112.960 24
S2003_J18 555 20336300. 0.090 304.4 66.1 145.3 164.3 598.121316 4.610 135.631 24
S2011_J2 556 22909200. 0.355 218.7 284.0 151.9 28.5 718.316562 87.848 87.140 24
Eirene 557 23055800. 0.258 94.8 329.7 164.6 179.5 729.847670 80.984 88.844 24
Philophrosyne 558 22604600. 0.229 271.6 69.5 146.3 233.1 702.535939 163.220 101.601 24
S2017_J1 559 23744800. 0.328 252.2 286.5 145.8 255.0 756.406342 108.088 86.595 24
Eupheme 560 20768600. 0.241 316.6 359.1 148.0 230.6 617.726175 150.073 112.595 24
S2003_J19 561 23156400. 0.265 123.4 218.4 164.7 26.9 734.778675 81.047 88.182 24
Valetudo 562 18694200. 0.217 344.2 57.6 34.5 291.5 527.606246 48.686 136.971 24
S2017_J2 563 22953200. 0.272 137.5 293.3 164.5 4.1 724.709424 81.295 89.100 24
S2017_J3 564 20941000. 0.231 92.9 193.3 147.9 23.4 625.601566 145.650 111.667 24
Pandia 565 11481000. 0.179 194.3 153.9 29.0 249.1 251.911064 140.848 291.110 24
S2017_J5 566 23206200. 0.257 211.7 66.9 164.8 44.1 737.284766 81.014 88.443 24
S2017_J6 567 23245300. 0.336 100.0 150.2 149.7 318.6 733.993348 94.238 87.113 24
S2017_J7 568 20964800. 0.233 119.4 359.1 147.3 258.1 626.562241 146.553 111.335 24
S2017_J8 569 22849500. 0.255 146.9 350.4 164.8 91.6 719.760404 82.331 90.463 24
S2017_J9 570 21768700. 0.200 130.7 261.5 155.5 240.1 666.110044 110.795 103.984 24
Ersa 571 11401000. 0.116 304.7 263.4 29.1 116.9 249.228928 144.088 306.234 24
S2011_J1 572 23124500. 0.271 251.8 248.4 164.6 248.4 733.206260 80.182 87.657 24
S2003_J2 55501 20997700. 0.225 200.4 35.2 150.2 350.8 628.789460 139.072 110.518 24
S2003_J4 55502 22926500. 0.328 194.4 242.8 148.2 176.8 718.095543 102.409 89.495 24
S2003_J9 55503 23199400. 0.263 199.6 354.6 164.8 47.6 736.861154 80.606 88.190 24
S2003_J10 55504 23576300. 0.264 227.5 286.9 164.4 154.5 755.429041 79.301 85.670 24
S2003_J12 55505 20963100. 0.235 277.9 201.3 150.0 58.7 627.243242 133.246 110.154 24
S2003_J16 55506 20882600. 0.243 24.6 307.4 148.0 16.1 622.876561 146.583 111.039 24
S2003_J23 55507 23829300. 0.313 163.2 168.5 144.7 45.0 760.000608 119.441 88.919 24
S2003_J24 55508 22887400. 0.259 24.2 131.8 164.5 207.2 721.603536 81.634 89.706 24

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: JUP346 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
S2011_J3 55509 11716800. 0.192 148.0 343.2 27.6 126.0 259.836323 128.367 270.725 37
S2018_J2 55510 11419700. 0.152 293.6 108.3 28.3 93.2 249.923847 140.030 295.761 37
S2018_J3 55511 23400300. 0.268 175.7 7.6 164.9 134.6 747.024566 79.156 86.380 37
S2021_J1 55512 20954700. 0.228 18.9 4.0 150.5 240.6 627.143382 133.227 110.800 37
S2021_J2 55513 20926600. 0.242 28.5 282.2 148.1 272.6 625.139190 146.021 111.305 37
S2021_J3 55514 20776700. 0.239 218.9 233.0 147.9 150.8 618.332595 147.060 112.519 37
S2021_J4 55515 23019700. 0.265 109.8 4.1 164.6 121.6 728.278426 80.865 88.739 37
S2021_J5 55516 23414600. 0.272 279.4 290.1 164.9 149.7 747.735358 79.099 86.285 37
S2021_J6 55517 22870300. 0.271 148.9 33.5 164.9 80.2 720.968561 80.900 89.253 37
S2016_J3 55518 22719300. 0.251 88.5 350.0 164.6 40.6 713.641308 83.067 91.194 37
S2016_J4 55519 23113800. 0.294 238.8 171.3 147.1 213.1 727.010204 115.542 92.013 37
S2018_J4 55520 16328500. 0.177 272.1 147.7 50.2 62.0 427.631070 - 195.214 37
S2022_J1 55521 22725200. 0.257 139.2 223.0 164.5 156.8 738.334157 45.512 49.281 37
S2022_J2 55522 23013800. 0.265 20.1 343.8 164.7 218.6 781.562507 40.150 89.526 37
S2022_J3 55523 21047700. 0.249 350.2 186.4 148.2 227.4 630.673027 142.778 109.790 37

Satellites of Saturn

mean orbital elements referred to the local Laplace planes
Epoch: 2000-01-01.5 TDB
Ephemeris: SAT441 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
R.A.
(deg)
Dec.
(deg)
Tilt
(deg)
Ref.
 
Mimas 601 186000. 0.020 160.4 275.3 1.6 66.2 0.942422 0.493 0.986 40.6 83.5 0.0 33
Enceladus 602 238400. 0.005 119.5 57.0 0.0 0.0 1.370218 2.916 0.000 40.6 83.5 0.0 33
Tethys 603 295000. 0.001 335.3 0.0 1.1 273.0 1.887802 0.005 4.982 40.6 83.5 0.0 33
Dione 604 377700. 0.002 116.0 212.0 0.0 0.0 2.736916 11.698 0.000 40.6 83.5 0.0 33
Rhea 605 527200. 0.001 44.3 31.5 0.3 133.7 4.517503 33.939 35.775 40.6 83.5 0.0 33
Titan 606 1221900. 0.029 78.3 11.7 0.3 78.6 15.945448 346.680 687.370 36.4 84.0 0.6 33
Hyperion 607 1481500. 0.105 214.0 122.9 0.6 87.1 21.276658 20.843 257.625 40.2 83.6 0.1 33
Iapetus 608 3561700. 0.028 254.5 74.8 7.6 86.5 79.331002 1662.900 3130.302 288.7 78.9 14.8 33
Phoebe 609 12929400. 0.164 240.3 308.0 175.2 192.7 550.303910 468.321 741.483 276.0 67.5 26.7 33
Helene 612 377600. 0.007 194.3 -64.5 0.2 260.8 2.736916 5.825 11.707 40.6 83.5 0.0 33
Telesto 613 295000. 0.001 66.2 360.0 1.2 242.1 1.887802 0.005 4.982 40.6 83.5 0.0 33
Calypso 614 295000. 0.001 221.6 -0.0 1.5 326.6 1.887803 0.005 4.983 40.6 83.5 0.0 33
Methone 632 194700. 0.002 315.5 0.0 0.0 0.0 1.009549 0.003 0.000 40.6 83.5 0.0 33
Polydeuces 634 377600. 0.019 94.1 359.0 0.2 167.5 2.736916 5.810 11.692 40.6 83.5 0.0 33

mean orbital elements referred to the local Laplace planes
Epoch: 2000-01-01.5 TDB
Ephemeris: SAT415 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
R.A.
(deg)
Dec.
(deg)
Tilt
(deg)
Ref.
 
Janus 610 151500. 0.007 11.1 111.7 0.2 159.9 0.697353 0.240 0.482 40.6 83.5 0.0 14
Epimetheus 611 151400. 0.020 96.3 197.2 0.3 189.8 0.697012 0.240 0.482 40.6 83.5 0.0 14
Atlas 615 137700. 0.001 82.3 289.1 0.0 0.0 0.604602 0.342 0.000 40.6 83.5 0.0 14
Prometheus 616 139400. 0.002 341.9 135.4 0.0 0.0 0.615878 0.357 0.000 40.6 83.5 0.0 14
Pandora 617 141700. 0.004 217.9 123.9 0.0 0.0 0.631369 0.379 0.000 40.6 83.5 0.0 14
Pan 618 133600. 0.000 0.0 146.6 0.0 0.0 0.575051 0.000 0.000 40.6 83.5 0.0 14
Pallene 633 212300. 0.004 194.9 2.0 0.2 304.3 1.156059 0.790 1.582 40.6 83.5 0.0 14
Daphnis 635 136500. 0.000 0.0 153.6 0.0 0.0 0.594080 0.000 0.000 40.6 83.5 0.0 14
Anthe 649 198100. 0.002 293.4 351.4 0.0 0.0 1.038898 1.190 0.000 40.6 83.5 0.0 14
Aegaeon 653 167500. 0.000 0.0 4.4 0.0 0.0 0.808115 0.000 0.000 40.6 83.5 0.0 14

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: SAT452 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
Ymir 619 22957100. 0.337 90.8 344.3 173.1 61.5 1315.161006 207.778 262.338 34
Paaliaq 620 14997300. 0.384 180.8 228.9 47.1 56.9 687.082929 601.718 443.723 34
Tarvos 621 18215100. 0.528 93.5 164.0 38.6 224.9 926.371542 200.795 296.112 34
Ijiraq 622 11344600. 0.353 66.2 16.8 49.2 189.4 451.459442 6573.548 868.875 34
Suttungr 623 19391700. 0.116 306.5 17.4 175.0 186.6 1016.709230 371.911 567.177 34
Kiviuq 624 11307300. 0.182 113.6 353.0 48.9 20.6 449.131697 1661.754 1265.083 34
Mundilfari 625 18590300. 0.210 217.9 3.3 168.4 339.6 952.947036 282.283 367.544 34
Albiorix 626 16329100. 0.470 277.6 209.7 38.9 194.8 783.494977 259.741 379.143 34
Skathi 627 15575100. 0.265 32.2 66.8 149.7 228.7 728.096129 478.343 629.221 34
Erriapus 628 17507200. 0.462 122.5 14.1 38.7 253.7 871.096777 223.849 349.477 34
Siarnaq 629 17880800. 0.311 4.3 248.1 48.2 141.2 895.874251 567.330 401.023 34
Thrymr 630 20326500. 0.467 14.1 232.6 174.8 144.1 1091.840264 258.430 367.755 34
Narvi 631 19286500. 0.449 270.5 340.4 143.7 76.3 1003.844017 334.758 369.140 34
Aegir 636 20664600. 0.255 319.5 183.6 166.9 74.6 1119.326532 260.879 330.589 34
Bebhionn 637 17028900. 0.482 208.1 295.5 37.4 307.9 834.937749 236.770 327.722 34
Bergelmir 638 19269100. 0.144 156.1 199.1 158.7 121.8 1005.576488 362.451 426.165 34
Bestla 639 20337900. 0.461 338.6 42.3 136.3 169.8 1087.459763 293.731 302.317 34
Farbauti 640 20292500. 0.248 159.2 79.5 157.7 33.0 1087.293140 303.110 353.048 34
Fenrir 641 22331800. 0.136 106.8 156.1 164.3 126.2 1260.252720 285.561 346.442 34
Fornjot 642 24937300. 0.214 257.6 75.7 169.5 141.3 1494.025194 246.070 299.683 34
Hati 643 19697100. 0.375 158.1 164.1 164.1 227.2 1040.285801 282.971 374.173 34
Hyrrokkin 644 18342600. 0.331 285.5 213.3 150.3 304.8 931.888370 378.611 368.994 34
Kari 645 22029700. 0.482 74.9 61.1 153.0 147.2 1231.006986 234.058 271.637 34
Loge 646 22918300. 0.192 150.0 57.0 166.9 232.7 1311.834160 269.852 334.958 34
Skoll 647 17625700. 0.470 18.7 217.3 158.4 209.6 878.442200 309.137 406.313 34
Surtur 648 22753800. 0.449 277.2 119.3 168.3 111.0 1296.489929 214.970 280.526 34
Jarnsaxa 650 19279700. 0.219 261.9 120.8 163.0 287.6 1006.921775 313.556 398.444 34
Greip 651 18380400. 0.317 138.1 3.8 173.4 335.3 936.975214 352.683 537.037 34
Tarqeq 652 17748200. 0.119 19.9 15.7 49.7 144.7 884.975825 1022.941 692.451 34
Gridr 654 19250700. 0.187 124.1 232.5 163.9 124.2 1004.753933 329.206 426.515 34
Angrboda 655 20591000. 0.216 142.5 214.5 177.4 302.8 1114.053266 1169.747 8760.873 34
Skrymir 656 21448000. 0.437 324.2 140.6 175.6 192.7 1185.149796 211.683 278.645 34
Gerd 657 20947500. 0.517 40.1 352.4 174.4 259.6 1142.969762 205.464 272.909 34
S2004_s26 658 26097100. 0.148 114.2 242.0 172.9 342.4 1603.946238 214.452 250.670 34
Eggther 659 19844700. 0.157 141.3 53.2 165.0 214.2 1052.327943 305.436 386.339 34
S2004_s29 660 17063900. 0.485 282.3 303.6 38.6 86.1 837.775221 230.693 325.433 34
Beli 661 20703800. 0.087 310.1 236.6 158.9 23.5 1121.760105 346.364 391.405 34
Gunnlod 662 21141900. 0.251 12.6 266.9 160.4 37.1 1157.982496 292.366 348.588 34
Thiazzi 663 23577500. 0.511 110.4 274.1 158.8 38.4 1366.681542 190.083 233.595 34
S2004_s34 664 24145500. 0.279 38.1 355.5 168.3 316.0 1420.768240 223.397 271.293 34
Alvaldi 665 21995600. 0.238 225.6 6.8 177.4 279.7 1232.185075 881.371 5731.247 34
Geirrod 666 22259500. 0.539 19.1 188.6 154.4 122.4 1251.143716 205.208 252.735 34

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: SAT453 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
S2004_S31 65067 17497300. 0.159 261.9 254.5 48.1 75.3 866.100491 94842.472 638.118 38
S2004_S24 65070 23338900. 0.071 203.9 264.9 37.4 349.8 1341.330505 136.628 420.617 38
S2004_S28 65077 21865900. 0.159 194.8 196.6 167.9 127.8 1220.684396 264.011 327.875 38
S2004_S21 65079 23123500. 0.394 185.1 314.8 153.2 113.7 1325.428533 242.595 270.650 38
S2004_S36 65081 23430300. 0.625 206.5 76.8 153.3 220.5 1352.934527 171.909 215.805 38
S2004_S37 65082 15940400. 0.447 79.1 262.2 158.2 140.0 754.482835 321.657 415.265 38
S2004_S39 65084 23195400. 0.101 202.2 132.8 165.9 164.4 1336.165008 261.795 310.719 38
S2004_S07 65085 21328200. 0.511 54.9 116.8 164.9 323.8 1173.932689 208.807 268.040 38
S2004_S12 65086 19801200. 0.337 86.7 118.7 164.7 305.4 1048.567438 277.778 360.609 38
S2004_S13 65087 18453300. 0.265 348.6 352.5 169.0 207.8 942.566141 289.952 387.952 38
S2004_S17 65088 19699300. 0.162 180.1 196.4 167.9 24.3 1040.857280 309.776 409.314 38
S2006_S01 65089 18745000. 0.105 161.0 134.2 156.0 336.6 964.136070 419.039 481.560 38
S2006_S03 65090 21353000. 0.432 179.8 74.1 156.1 208.5 1174.755951 241.231 290.223 38
S2007_S02 65091 15939100. 0.232 56.6 136.6 174.1 115.1 754.904602 317.148 443.880 38
S2007_S03 65092 19513700. 0.162 199.2 153.1 175.6 328.5 1026.351670 224.046 284.295 38
S2019_S01 65093 11245400. 0.384 94.6 34.9 49.5 178.1 445.513921 1639.196 671.190 38
S2019_S02 65094 16559900. 0.279 100.2 353.7 173.3 101.0 799.824482 308.857 431.270 38
S2019_S03 65095 17077200. 0.249 129.2 29.8 166.9 234.6 837.746058 333.103 456.300 38
S2020_S01 65096 11338700. 0.337 85.8 357.3 48.2 149.4 451.098264 17924.567 834.487 38
S2020_S02 65097 17869300. 0.152 132.4 181.4 170.7 99.4 897.609743 312.643 427.587 38
S2004_S40 65098 16075600. 0.297 139.7 199.0 169.2 42.4 764.603310 353.442 505.588 38
S2006_S09 65100 14406600. 0.248 355.8 328.6 173.0 46.1 647.891184 403.291 610.344 38
S2007_S05 65101 15835700. 0.104 39.1 129.7 158.4 129.2 746.879581 455.488 553.831 38
S2020_S03 65102 18054700. 0.144 5.0 86.5 46.1 218.7 907.993671 734.466 616.543 38
S2019_S04 65103 17956700. 0.409 249.4 333.9 170.1 302.6 904.263117 290.874 405.929 38
S2004_S41 65104 18095000. 0.300 238.5 237.9 165.7 56.7 914.617304 308.311 414.067 38
S2020_S04 65105 18235500. 0.495 163.7 166.9 40.1 74.2 926.924252 209.265 289.847 38
S2020_S05 65106 18391300. 0.220 271.9 238.1 48.2 226.5 933.884662 6907.781 482.830 38
S2007_S06 65107 18544900. 0.169 24.1 50.3 166.5 328.9 949.496698 341.925 463.259 38
S2004_S42 65108 18240800. 0.158 118.1 299.2 165.7 11.0 925.913315 349.556 471.900 38
S2006_S10 65109 18979900. 0.151 102.3 160.4 161.6 357.1 983.138490 356.352 448.753 38
S2019_S05 65110 19076900. 0.215 319.3 244.1 158.8 264.2 990.382525 348.383 420.918 38
S2004_S43 65111 18935000. 0.432 227.2 2.3 171.1 187.1 980.082408 244.743 326.972 38
S2004_S44 65112 19515400. 0.129 177.0 202.4 167.7 49.9 1026.162501 311.865 410.799 38
S2004_S45 65113 19693600. 0.551 346.7 197.4 154.0 299.8 1038.697534 232.518 288.745 38
S2006_S11 65114 19711900. 0.144 145.4 236.0 174.1 236.6 1042.282443 279.494 375.849 38
S2006_S12 65115 19569800. 0.542 79.7 255.7 38.6 149.9 1035.053952 166.029 232.900 38
S2019_S06 65116 20048600. 0.259 320.1 161.9 41.3 163.2 1066.404324 230.418 400.204 38
S2006_S13 65117 19953800. 0.313 259.1 143.7 162.0 54.3 1060.628607 285.493 360.379 38
S2019_S07 65118 20181300. 0.232 340.1 290.0 174.2 203.0 1080.293408 256.488 338.796 38
S2019_S08 65119 20284400. 0.311 126.7 87.8 172.8 152.8 1088.677436 245.866 324.974 38
S2019_S09 65120 20359000. 0.433 302.7 38.5 159.5 104.0 1093.112692 248.831 310.771 38
S2004_S46 65121 20513000. 0.249 303.0 345.2 177.2 298.5 1107.578788 1032.906 61935.649 38
S2019_S10 65122 20713400. 0.249 0.8 315.7 163.9 269.5 1123.042756 283.636 352.541 38
S2004_S47 65123 16050600. 0.291 288.5 167.1 160.9 290.2 762.488049 391.882 532.693 38
S2019_S11 65124 20663700. 0.513 43.2 214.0 144.6 349.0 1114.995811 258.878 290.591 38
S2006_S14 65125 21062100. 0.060 158.1 58.1 166.7 268.0 1152.676467 294.103 371.976 38
S2019_S12 65126 20904500. 0.476 261.5 254.7 167.1 336.6 1138.846402 221.182 287.554 38
S2020_S06 65127 21265300. 0.481 41.5 222.3 166.9 29.9 1168.863185 214.082 276.912 38
S2019_S13 65128 20965800. 0.318 218.1 263.5 177.3 287.4 1144.918619 1053.426 11709.938 38
S2005_S04 65129 11324500. 0.315 99.2 252.5 48.0 174.1 450.220770 17688.104 920.701 38
S2007_S07 65130 15931700. 0.217 157.5 41.4 169.2 10.1 754.289392 390.244 578.789 38
S2007_S08 65131 17049000. 0.490 265.8 354.9 36.2 198.2 836.901630 221.971 325.885 38
S2020_S07 65132 17400000. 0.500 290.5 246.0 161.5 163.9 861.699875 269.176 351.682 38
S2019_S14 65133 17853000. 0.172 344.8 196.8 46.2 154.4 893.142349 682.661 580.690 38
S2019_S15 65134 21189700. 0.257 14.0 251.5 157.7 32.1 1161.542985 305.543 348.984 38
S2005_S05 65135 21366200. 0.588 280.8 203.7 169.5 87.5 1177.824834 187.849 247.314 38
S2006_S15 65136 21799400. 0.117 237.2 267.8 161.1 22.0 1213.963258 310.200 361.121 38
S2006_S16 65137 21720700. 0.204 290.3 86.8 164.1 161.1 1207.522180 269.497 328.291 38
S2006_S17 65138 22384900. 0.425 139.5 38.2 168.7 257.4 1264.580999 211.221 270.594 38
S2004_S48 65139 22136700. 0.374 290.9 164.1 161.9 185.6 1242.398907 235.225 288.592 38
S2020_S08 65140 21966700. 0.252 37.1 98.5 161.8 53.6 1228.118465 272.686 325.564 38
S2004_S49 65141 22399700. 0.453 189.3 309.8 159.7 217.2 1264.250552 217.110 268.849 38
S2004_S50 65142 22346000. 0.450 182.4 102.5 164.0 171.7 1260.443123 213.002 270.314 38
S2006_S18 65143 22760700. 0.131 74.9 253.9 169.5 62.1 1298.397709 258.201 320.454 38
S2019_S16 65144 23266700. 0.250 280.8 305.0 162.0 199.8 1341.165508 252.285 294.807 38
S2019_S17 65145 22724100. 0.546 296.7 196.0 155.5 110.9 1291.390483 194.834 239.696 38
S2019_S18 65146 23140700. 0.509 299.7 259.0 154.6 213.5 1327.060729 202.964 244.192 38
S2019_S19 65147 23047200. 0.458 301.0 219.1 151.8 231.9 1318.046089 225.998 258.412 38
S2019_S20 65148 23678600. 0.354 187.8 294.2 156.1 177.0 1375.449932 240.237 270.907 38
S2006_S19 65149 23801100. 0.467 22.9 348.6 175.5 273.1 1389.333227 186.511 240.778 38
S2004_S51 65150 25208200. 0.201 78.7 212.8 171.2 290.3 1519.425920 220.597 263.104 38
S2020_S09 65151 25434100. 0.531 178.1 0.8 161.4 24.7 1534.973527 167.370 207.368 38
S2004_S52 65152 26448100. 0.292 290.5 295.5 165.3 194.5 1633.984418 208.207 239.266 38
S2007_S09 65153 20174600. 0.360 114.3 81.7 159.3 257.2 1078.067649 273.956 335.437 38
S2004_S53 65154 23279800. 0.240 280.9 337.2 162.6 207.7 1342.435752 252.517 295.945 38
S2020_S10 65155 25314800. 0.295 196.7 57.6 165.6 235.6 1527.223222 214.677 253.790 38
S2019_S21 65156 26439000. 0.155 36.5 342.9 171.9 1.5 1636.317597 212.610 245.511 38
S2006_S20 65157 13193800. 0.206 80.6 19.6 173.1 70.1 567.272723 424.352 635.434 38

Satellites of Uranus

mean orbital elements referred to the local Laplace planes
Epoch: 2000-01-01.5 TDB
Ephemeris: URA111 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
R.A.
(deg)
Dec.
(deg)
Tilt
(deg)
Ref.
 
Ariel 701 190900. 0.001 83.3 119.8 0.0 0.0 2.520680 57.778 0.000 77.3 15.2 180.0 10
Umbriel 702 266000. 0.004 157.5 258.3 0.1 195.5 4.144548 65.761 136.799 77.3 15.2 180.0 10
Titania 703 436300. 0.001 202.0 53.2 0.1 26.4 8.706444 367.905 17295.870 77.3 15.2 180.0 10
Oberon 704 583400. 0.001 182.4 139.7 0.1 30.5 13.463606 522.476 855.045 77.3 15.2 180.0 10
Miranda 705 129900. 0.001 155.6 72.4 4.4 100.7 1.413784 8.936 17.780 77.3 15.2 180.0 10
Puck 715 86000. 0.000 0.0 50.1 0.4 216.0 0.761476 0.000 4.452 77.3 15.2 180.0 10

mean orbital elements referred to the local Laplace planes
Epoch: 2000-01-01.0 TDB
Ephemeris: URA115 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
R.A.
(deg)
Dec.
(deg)
Tilt
(deg)
Ref.
 
Cordelia 706 49800. 0.000 0.0 95.0 0.2 271.4 0.334569 0.000 0.657 77.3 15.2 180.0 15
Ophelia 707 53800. 0.011 344.3 280.5 0.1 266.5 0.376855 0.431 0.862 77.3 15.2 180.0 15
Bianca 708 59200. 0.001 97.0 236.2 0.1 209.5 0.435007 0.607 1.217 77.3 15.2 180.0 15
Cressida 709 61800. 0.000 0.0 332.8 0.1 304.0 0.463154 0.000 1.415 77.3 15.2 180.0 15
Desdemona 710 62700. 0.000 0.0 160.4 0.1 96.3 0.473228 0.000 1.454 77.3 15.2 180.0 15
Juliet 711 64400. 0.001 291.5 124.8 0.0 0.0 0.493479 1.611 0.000 77.3 15.2 180.0 15
Portia 712 66100. 0.000 0.0 343.7 0.0 0.0 0.513196 0.000 0.000 77.3 15.2 180.0 15
Rosalind 713 69900. 0.000 0.0 79.4 0.0 0.0 0.558459 0.000 0.000 77.3 15.2 180.0 15
Belinda 714 75300. 0.000 0.0 121.3 0.0 0.0 0.623527 0.000 0.000 77.3 15.2 180.0 15
Puck 715 86000. 0.000 0.0 174.5 0.3 215.5 0.761477 0.000 4.457 77.3 15.2 180.0 15
Perdita 725 76400. 0.002 310.4 32.2 0.0 0.0 0.638411 2.841 0.000 77.3 15.2 180.0 15
Mab 726 97700. 0.003 237.9 348.0 0.1 188.2 0.923293 3.402 6.645 77.3 15.2 180.0 15
Cupid 727 74400. 0.005 13.5 160.6 0.1 206.6 0.613168 1.738 4.137 77.3 15.2 180.0 15

mean ecliptic orbital elements
Epoch: 2020-01-01.0 TDB
Ephemeris: URA117 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
Caliban 716 7167000. 0.200 349.7 241.2 141.4 174.9 579.759509 8794.600 6483.474 22
Sycorax 717 12193200. 0.520 25.4 332.1 157.0 267.1 1288.404787 1393.574 1863.356 22
Prospero 718 16221000. 0.441 180.4 197.6 149.4 324.5 1979.406729 1154.178 1369.220 22
Setebos 719 17519800. 0.579 356.1 148.0 153.9 244.7 2224.938324 47.540 48.126 22
Stephano 720 7951400. 0.235 17.1 164.4 143.6 193.3 677.557462 5469.054 5189.675 22
Trinculo 721 8502600. 0.220 162.2 55.6 167.1 196.5 749.400270 2589.197 4265.285 22
Francisco 722 4275700. 0.144 137.6 288.4 146.8 101.9 267.108646 12472.628 14419.447 22
Margaret 723 14425000. 0.642 90.7 115.9 60.5 0.9 1655.163399 - 1001.518 22
Ferdinand 724 20421400. 0.395 166.9 172.3 169.2 223.9 2808.699816 747.371 1000.982 22
S2023_U1 75051 7976600. 0.250 158.7 101.8 143.9 260.2 680.775993 5077.800 5021.984 22

Satellites of Neptune

mean orbital elements referred to the local Laplace planes
Epoch: 2000-01-01.5 TDB
Ephemeris: NEP097 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
R.A.
(deg)
Dec.
(deg)
Tilt
(deg)
Ref.
 
Triton 801 354800. 0.000 0.0 63.0 157.3 178.1 5.876994 0.000 340.379 299.8 43.1 0.4 21
Naiad 803 48200. 0.000 0.0 89.7 4.7 41.4 0.293980 0.000 0.575 299.7 42.7 0.4 21
Thalassa 804 50100. 0.000 0.0 165.7 0.2 130.6 0.311078 0.000 0.654 299.7 42.7 0.4 21
Despina 805 52500. 0.000 0.0 125.1 0.0 0.0 0.334656 0.000 0.000 299.7 42.7 0.4 21
Galatea 806 62000. 0.000 0.0 86.7 0.0 0.0 0.428744 0.000 0.000 299.8 43.1 0.4 21
Larissa 807 73500. 0.001 247.3 165.5 0.2 312.0 0.554989 1.257 2.514 299.8 43.1 0.4 21
Proteus 808 117600. 0.000 0.0 276.8 0.0 0.0 1.122315 0.000 0.000 299.8 42.6 0.9 21
Hippocamp 814 105300. 0.001 346.4 286.5 0.3 0.5 0.950390 8.726 661.762 299.8 43.0 0.4 21

mean ecliptic orbital elements
Epoch: 2020-01-01.0 TDB
Ephemeris: NEP101 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
Nereid 802 5504000. 0.749 290.3 318.0 5.8 326.0 360.140332 10392.563 13118.030 32

mean ecliptic orbital elements
Epoch: 2020-01-01.0 TDB
Ephemeris: NEP103 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
Halimede 809 16590500. 0.521 157.9 135.8 119.6 198.5 1879.782527 5394.759 5156.330 23
Psamathe 810 47615100. 0.414 148.2 183.3 127.8 302.9 9149.513891 1481.738 1332.896 23
Sao 811 22239900. 0.296 93.5 178.5 50.2 41.8 2919.428695 - 4453.782 23
Laomedeia 812 23499900. 0.419 146.2 248.1 36.9 57.6 3176.125178 2255.087 3154.006 23
Neso 813 49895300. 0.455 89.8 13.8 128.4 55.4 9794.986027 - 1115.925 23
S2002_N5 85051 23414700. 0.433 59.1 303.2 46.3 258.3 3156.555872 2869.113 3120.503 23
S2021_N1 85052 50700200. 0.503 90.4 237.1 135.2 258.9 10036.651197 - 924.111 23

Satellites of Pluto

mean equatorial orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: PLU060 [ table legend ]

Satellite
 
Code
 
a
(km)
e
 
ω
(deg)
M
(deg)
i
(deg)
node
(deg)
P
(days)
Papsis
(yr)
Pnode
(yr)
Ref.
 
Charon 901 19600. 0.000 0.0 304.1 0.0 0.0 6.387222 - - 6
Styx 905 43200. 0.025 322.5 358.1 0.0 0.0 20.16 - - 6
Nix 902 49300. 0.015 31.4 338.2 0.0 0.0 24.85 - - 6
Kerberos 904 58300. 0.010 32.1 276.1 0.4 314.3 32.17 - 9 6
Hydra 903 65200. 0.009 139.3 335.0 0.3 114.3 38.20 - 14 6

Table Column Descriptions

Satellite IAU name or designation of the satellite
Code JPL satellite ID
Ephemeris planetary satellite ephemeris ID used to derive the mean elements
Frame reference frame of the mean elements
Epoch epoch of the osculating mean elements
a semi-major Axis
e eccentricity
ω argument of periapsis
M mean anomaly
i inclination with respect to the reference plane
node longitude of the ascending node measured from the node of the reference plane on the ICRF equator
P sidereal period
Papsis argument of periapsis precession period
Pnode longitude of the ascending node precession period
R.A. right ascension of the Laplace-plane pole postion w.r.t. ICRF
Dec. declination of the Laplace-plane pole postion w.r.t. ICRF
Tilt angle between the planet's equatorial and Laplace planes

References

  1. B. A. Archinal, C. H. Acton, M. F. A’Hearn, et~al. (2018) "Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2015". Celest.~Mech. 130:22.
  2. J. K. Campbell, J. D. Anderson (1989) "Gravity Field of the Saturnian System from Pioneer and Voyager Tracking Data". AJ 97:1485-1495.
  3. M. Brozović, R. A. Jacobson (2009) "The Orbits of the Outer Uranian Satellites". AJ 137:3834-3842.
  4. R. A. Jacobson (2009) "The Orbits of the Neptunian Satellites and the Orientation of the Pole of Neptune". AJ 137:4322-4329.
  5. M. Brozović, R. A. Jacobson, S. S. Sheppard (2011) "The Orbits of the Outer Neptunian Satellites". AJ 141:135.
  6. M. Brozović, R. A. Jacobson (2024) "Post-New Horizons orbits and masses for the satellites of Pluto". AJ in press:00.
  7. R. Jacobson, M. Brozović, B. Gladman, M. Alexandersen, P. D. Nicholson, Veillet (2012) "Irregular satellites of the outer planets: orbital uncertainties and astrometric recoveries in 2009--2011". AJ 144:132.
  8. R. A. Jacobson (2014) "Update of the irregular Uranian satellite orbits with data through 2013 — URA112". personal communication to Horizons/NAIF.
  9. R. A. Jacobson (2014) "Update of Saturnian irregulars with Earthbased data through early 2014 and all Cassini imaging through 2013 — SAT368". personal communication to Horizons/NAIF.
  10. R. A. Jacobson (2014) "The Orbits of the Uranian Satellites and Rings, the Gravity Field of the Uranian System, and the Orientation of the Pole of Uranus". AJ 148:76-88.
  11. R. A. Jacobson, V. Lainey (2014) "Martian Satellite Orbits and Ephemerides". Planet. Space Sci. 102:35-44.
  12. M. Brozović, M. R. Showalter, R. A. Jacobson, M. W. Buie (2015) "The orbits and masses of satellites of Pluto". Icarus 246:317-329.
  13. M. Brozović, R. A. Jacobson (2017) "The Orbits of Jupiter's Irregular Satellites". AJ 153:147.
  14. R. A. Jacobson (2018) "Rock ephemeris file from fit to all Cassini data — SAT415". personal communication to Horizons/NAIF.
  15. M. Brozović, R. A. Jacobson (2019) "The Orbits of the inner satellites of Uranus: solution URA115". Interoffice Memo. 392R-19-007 (internal document).
  16. R. A. Jacobson, M. Brozovic, M. Showalter, A. Verbiscer, M. Buie, P. Helfenstein (2019) "The Orbits and Masses of Pluto's Satellites". In Pluto System After New Horizons 2133:7031.
  17. R. A. Jacobson (2019) "Ephemerides of the unnamed Saturnian irregulars including the 20 newly discovered ones — SAT428". personal communication to Horizons/NAIF.
  18. R. A. Jacobson (2020) "Ephemerides for the final comprehensive Cassini reconstruction — SAT427". personal communication to Horizons/NAIF.
  19. Marina Brozović, Mark R. Showalter, Robert A. Jacobson, Robert S. French, Jack J. Lissauer, Imke de Pater (2020) "Orbits and resonances of the regular moons of Neptune". Icarus 338:113462.
  20. R. A. Jacobson (2020) "The Orbits of the Regular Jovian Satellites, the Trajectories of Spacecraft at Jupiter, the Gravity Field of the Jovian System, and the Orientation of the Pole of Jupiter". Interoffice Memo. 392R-20-006 (internal document).
  21. M. Brozović (2020) "Update of the inner Neptunian satellite orbits — NEP097". personal communication to Horizons/NAIF.
  22. M. Brozović (2024) "Update of the outer Uranian satellite orbits — URA117". personal communication to Horizons/NAIF.
  23. M. Brozović (2024) "Update of the outer Neptunian satellite orbits — NEP103". personal communication to Horizons/NAIF.
  24. M. Brozović (2021) "Outer jovians with astrometry up to Nov 2020 — JUP344". personal communication to Horizons/NAIF.
  25. M. Brozović (2021) "Update of the inner Neptunian satellite orbits — NEP100". personal communication to Horizons/NAIF.
  26. R. A. Jacobson (2021) "The Orbits of the Regular Jovian Satellites and the Orientation of the Pole of Jupiter". personal communication to Horizons/NAIF.
  27. D. Durante, M. Parisi, D. Serra, M. Zannoni, V. Notaro, P. Racioppa, D. R. Buccino, G. Lari, L. Gomez Casajus, L. Iess, W. M. Folkner, G. Tommei, P. Tortora, S. J. Bolton (2020) "Jupiter's Gravity Field Halfway Through the Juno Mission". Geophys. Res. Lett. 47:e86572.
  28. M. Brozović (2021) "Update of Pluto's satellite orbits — PLU058". personal communication to Horizons/NAIF.
  29. M. Brozović, R. A. Jacobson (2021) "Ephemeris update ura116 for the irregular satellites of Uranus". Interoffice Memo. 392R-21-009 (internal document).
  30. R. A. Jacobson (2021) "Ephemerides of the unnamed Saturnian irregulars including the newly discovered S/2019~S1 — SAT450". personal communication to Horizons/NAIF.
  31. R. A. Jacobson (2021) "The Orbits of the Major Saturnian Satellites,the Trajectories of Spacecraft at Saturn, the Gravity Field of the Saturnian System, and the Orientation of Saturn's Pole". personal communication to Horizons/NAIF/Dragonfly.
  32. Marina Brozović, Robert A. Jacobson (2022) "Orbits of the irregular satellites of Uranus and Neptune". AJ 163:241.
  33. R. A. Jacobson (2022) "The Orbits of the Main Saturnian Satellites, the Saturnian System Gravity Field, and the Orientation of Saturn's Pole". AJ 164:199-217.
  34. R. A. Jacobson, M. Brozović, N. Mastrodemos, J. E. Riedel, S. S. Sheppard (2022) "Ephemerides of the Irregular Saturnian Satellites from Earth-based Astrometry and Cassini Imaging". AJ 164:240.
  35. R. A. Jacobson (2023) "Ephemerides of the Neptunian irregulars — NEP102". personal communication to Horizons/NAIF.
  36. M. Brozovic (2023) "Ephemerides of the 12 new jovian irregulars — JUP345". personal communication to Horizons/NAIF.
  37. M. Brozovic (2023) "Ephemerides of the 15 new jovian irregulars — JUP346". personal communication to Horizons/NAIF.
  38. R. A. Jacobson (2023) "Update of the provisional irregular Saturnian satellite orbits with data through 2022 — SAT453". personal communication to Horizons/NAIF.