Planetary Satellite Mean Elements

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.

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)	P_apsis (yr)	P_node (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: MAR099 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	R.A. (deg)	Dec. (deg)	Tilt (deg)	Ref.
Phobos	401	9375.	0.015	216.3	189.7	1.1	169.2	0.3187	1.1	2.3	317.7	52.9	0.0	7
Deimos	402	23457.	0.000	0.0	205.0	1.8	54.3	1.2625	0.0	56.2	316.6	53.5	0.9	7

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)	P_apsis (yr)	P_node (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	29
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	29
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	29
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	29
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	29
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	29
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	29
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	29

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: JUP347 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	Ref.
Himalia	506	11439000.	0.160	321.1	78.3	28.4	64.2	249.9090	187.4	297.1	47
Elara	507	11710700.	0.212	129.9	346.9	27.8	112.8	258.8861	173.0	270.9	47
Pasiphae	508	23463200.	0.412	172.8	279.3	148.3	315.7	734.4215	60.6	79.2	47
Sinope	509	23679300.	0.262	354.3	157.4	157.3	308.0	744.5951	57.0	93.1	47
Lysithea	510	11699100.	0.117	48.3	328.5	27.7	9.2	258.5035	178.9	290.6	47
Carme	511	23139200.	0.261	6.5	259.5	164.6	115.5	719.2806	50.9	89.0	47
Ananke	512	21029500.	0.238	78.8	271.7	147.6	13.7	623.1097	80.8	115.5	47
Leda	513	11145200.	0.162	271.3	232.6	28.2	216.9	240.3264	194.9	309.4	47
Callirrhoe	517	23789400.	0.290	13.5	117.9	144.9	278.2	749.7910	70.3	92.7	47
Themisto	518	7397000.	0.257	236.3	289.1	44.3	202.7	129.9681	626.4	648.5	47
Magaclite	519	23640100.	0.421	309.9	116.1	149.9	292.2	742.7715	55.6	74.1	47
Taygete	520	23103400.	0.257	207.7	116.5	164.7	300.8	717.5917	52.0	91.3	47
Chaldene	521	22926300.	0.261	231.6	275.3	164.7	134.5	709.3625	47.3	82.7	47
Harpalyke	522	20887500.	0.239	104.3	255.4	147.8	35.6	616.7833	81.2	116.5	47
Kalyke	523	23298000.	0.261	240.5	224.9	164.7	37.7	726.7007	47.5	83.1	47
Iocaste	524	21062300.	0.223	91.4	182.0	148.7	268.9	624.5479	79.2	116.3	47
Erinome	525	23027200.	0.272	359.9	273.1	164.3	311.2	714.0542	47.5	82.4	47
Isonoe	526	22976300.	0.249	131.0	116.3	164.9	134.1	711.6604	53.2	93.9	47
Praxidike	527	20931100.	0.245	182.5	128.0	148.2	281.3	618.7229	82.5	119.1	47
Autonoe	528	23785200.	0.326	61.2	134.0	150.7	264.8	749.6097	62.8	90.4	47
Thyone	529	20972700.	0.235	105.1	242.5	147.6	240.8	620.5875	85.5	122.4	47
Hermippe	530	21103600.	0.220	277.2	158.6	150.2	330.3	626.3799	75.1	113.6	47
Aitne	531	23059400.	0.273	72.2	120.6	164.5	358.4	715.5396	49.8	86.4	47
Eurydome	532	22894500.	0.287	223.4	281.8	148.9	297.7	707.8569	66.9	95.5	47
Euanthe	533	20822900.	0.243	312.4	353.5	148.1	265.2	613.9278	81.1	116.9	47
Euporie	534	19261900.	0.148	109.5	56.4	145.5	63.4	546.1778	101.0	143.4	47
Orthosie	535	20897800.	0.294	244.7	161.1	144.2	212.4	617.2347	89.5	116.2	47
Sponde	536	23538700.	0.323	56.6	177.4	149.4	109.3	737.9542	58.7	82.8	47
Kale	537	23047800.	0.262	69.2	175.9	164.6	56.7	715.0160	49.1	85.8	47
Pasithee	538	22840800.	0.274	207.9	237.8	164.5	318.0	705.4090	52.6	91.3	47
Hegemone	539	23342600.	0.357	192.2	241.1	152.5	311.5	728.7743	53.9	78.0	47
Mneme	540	20815800.	0.240	50.1	236.1	147.8	0.9	613.6104	80.1	114.9	47
Aoede	541	23773100.	0.437	43.1	207.6	155.7	156.5	749.0708	52.6	75.0	47
Thelxinoe	542	20972300.	0.229	307.0	275.1	150.7	174.9	620.5458	73.6	111.7	47
Arche	543	23093200.	0.263	172.5	34.0	164.5	333.3	717.1056	51.0	89.0	47
Kallichore	544	23017100.	0.253	352.6	66.8	164.7	23.9	713.5931	49.1	86.3	47
Helike	545	20911400.	0.155	305.1	45.8	154.4	94.6	617.8625	73.5	121.6	47
Carpo	546	17039500.	0.415	90.5	336.6	53.3	52.1	454.4000	285.1	182.0	47
Eukelade	547	23062400.	0.274	290.1	234.2	164.7	200.4	715.6868	48.5	84.2	47
Cyllene	548	23650000.	0.421	174.6	153.3	146.8	253.6	743.2062	65.9	83.4	47
Kore	549	24203300.	0.338	135.3	40.6	141.7	324.2	769.4229	71.7	85.6	47
Herse	550	23146700.	0.258	344.1	123.1	164.4	299.5	719.6264	50.9	88.9	47
S2010_J_1	551	23185600.	0.256	175.6	183.4	164.5	284.7	721.4257	51.0	89.3	47
S2010_J_2	552	20786900.	0.244	28.8	292.5	148.0	357.3	612.3507	80.5	115.7	47
Dia	553	12257900.	0.232	164.1	320.9	29.1	293.9	277.2472	169.8	258.2	47
S2016_J_1	554	20796700.	0.245	298.5	215.3	145.1	247.7	612.7812	92.6	125.4	47
S2003_J_18	555	20332800.	0.102	86.2	252.5	145.7	166.8	592.3333	91.2	131.6	47
S2011_J_2	556	22903400.	0.358	262.9	297.6	151.7	24.9	708.2931	59.0	84.4	47
Eirene	557	23051300.	0.263	86.4	336.7	164.7	180.0	715.1910	50.7	88.6	47
Philophrosyn	558	22600200.	0.221	0.9	88.9	146.1	234.3	694.2042	75.6	105.8	47
S2017_J_1	559	23739600.	0.321	74.7	250.1	145.6	251.8	747.4382	72.8	95.8	47
Eupheme	560	20763400.	0.234	73.6	339.8	147.9	227.5	611.3160	85.3	122.9	47
S2003_J_19	561	23153100.	0.264	186.8	196.9	164.6	21.9	719.9222	51.6	90.1	47
Valetudo	562	18690100.	0.217	316.3	90.5	34.5	291.2	522.0743	106.3	147.1	47
S2017_J_2	563	22949600.	0.270	153.0	278.2	164.5	359.4	710.4208	46.7	81.0	47
S2017_J_3	564	20936500.	0.238	105.7	235.4	147.9	27.9	618.9653	77.0	110.9	47
Pandia	565	11479600.	0.178	188.7	158.5	28.9	249.8	251.2319	187.8	293.3	47
S2017_J_5	566	23202000.	0.261	292.5	69.3	164.7	42.3	722.1972	47.7	83.3	47
S2017_J_6	567	23251200.	0.333	15.5	146.0	149.6	312.8	724.4688	62.4	87.8	47
S2017_J_7	568	20960400.	0.235	288.7	353.0	147.4	264.9	620.0167	81.2	115.9	47
S2017_J_8	569	22819600.	0.259	330.5	349.4	164.8	97.3	704.4181	53.9	94.6	47
S2017_J_9	570	21764200.	0.197	276.4	243.3	155.4	245.3	656.0479	64.5	106.5	47
Ersa	571	11399400.	0.117	300.7	270.8	29.0	113.7	248.6153	192.6	306.2	47
S2011_J_1	572	23120800.	0.269	50.4	225.4	164.7	253.5	718.4153	51.7	90.1	47
S2003_J_2	55501	20992900.	0.225	170.6	42.3	150.1	348.4	621.4715	79.3	119.2	47
S2003_J_4	55502	22922300.	0.327	208.8	216.5	148.3	175.4	709.1229	69.2	95.5	47
S2003_J_9	55503	23195100.	0.268	288.4	359.8	164.7	46.3	721.8792	51.2	89.3	47
S2003_J_10	55504	23384400.	0.257	187.6	272.8	164.6	155.7	730.7375	51.0	89.4	47
S2003_J_12	55505	20959300.	0.235	66.1	160.7	150.0	54.1	619.9611	73.3	109.7	47
S2003_J_16	55506	20877500.	0.238	55.6	298.2	147.8	5.3	616.3444	83.7	120.1	47
S2003_J_23	55507	23824000.	0.306	256.6	140.6	144.4	30.9	751.3993	75.8	98.1	47
S2003_J_24	55508	22882400.	0.263	84.1	121.6	164.6	208.7	707.3347	53.4	93.2	47
S2011_J_3	55509	11716800.	0.192	134.7	359.4	27.6	123.3	259.0875	174.2	275.8	47
S2018_J_2	55510	11419700.	0.152	288.6	115.5	28.3	91.8	249.2750	187.8	298.9	47
S2018_J_3	55511	23400200.	0.268	177.5	279.0	164.9	135.7	731.4875	50.1	87.3	47
S2021_J_1	55512	20954700.	0.228	20.6	129.1	150.5	241.1	619.7687	78.1	118.4	47
S2021_J_2	55513	20926600.	0.242	25.9	110.8	148.1	269.5	618.5028	79.2	114.1	47
S2021_J_3	55514	20776600.	0.239	218.6	167.9	147.9	141.7	611.8736	84.0	120.7	47
S2021_J_4	55515	23019700.	0.265	140.5	218.9	164.6	129.9	713.7056	51.5	89.8	47
S2021_J_5	55516	23414600.	0.272	273.4	236.5	164.9	154.4	732.1528	50.6	88.1	47
S2021_J_6	55517	22870400.	0.271	146.2	208.5	164.9	87.2	706.7653	46.9	81.7	47
S2016_J_3	55518	22719300.	0.251	94.7	59.1	164.6	36.8	699.7583	53.4	93.9	47
S2016_J_4	55519	23113900.	0.294	249.4	217.5	147.1	203.2	718.0382	68.6	94.5	47
S2018_J_4	55520	16328500.	0.177	285.0	138.3	50.2	52.1	426.2646	297.2	239.7	47
S2022_J_1	55521	22744700.	0.257	232.4	42.2	164.5	310.9	700.9333	50.2	87.8	47
S2022_J_2	55522	23073400.	0.263	357.0	98.9	164.7	47.7	716.2104	48.3	84.3	47
S2022_J_3	55523	21015100.	0.248	351.6	271.7	148.1	233.1	622.4361	83.4	119.9	47
S2017_J_10	55525	21075800.	0.209	195.3	157.7	145.1	329.6	625.1493	91.1	125.6	47
S2017_J_11	55526	22991300.	0.268	25.5	236.9	164.8	134.9	712.3826	52.3	91.2	47

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)	P_apsis (yr)	P_node (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	36
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	36
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	36
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	36
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	36
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	36
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	36
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	36
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	36
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	36
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	36
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	36
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	36
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	36

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)	P_apsis (yr)	P_node (yr)	R.A. (deg)	Dec. (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	17
Epimetheus	611	151400.	0.020	96.3	197.2	0.3	189.8	0.697012	0.240	0.482	40.6	83.5	17
Atlas	615	137700.	0.001	82.3	289.1	0.0	0.0	0.604602	0.342	0.000	40.6	83.5	17
Prometheus	616	139400.	0.002	341.9	135.4	0.0	0.0	0.615878	0.357	0.000	40.6	83.5	17
Pandora	617	141700.	0.004	217.9	123.9	0.0	0.0	0.631369	0.379	0.000	40.6	83.5	17
Pan	618	133600.	0.000	0.0	146.6	0.0	0.0	0.575051	0.000	0.000	40.6	83.5	17
Pallene	633	212300.	0.004	194.9	2.0	0.2	304.3	1.156059	0.790	1.582	40.6	83.5	17
Daphnis	635	136500.	0.000	0.0	153.6	0.0	0.0	0.594080	0.000	0.000	40.6	83.5	17
Anthe	649	198100.	0.002	293.4	351.4	0.0	0.0	1.038898	1.190	0.000	40.6	83.5	17
Aegaeon	653	167500.	0.000	0.0	4.4	0.0	0.0	0.808115	0.000	0.000	40.6	83.5	17

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: SAT456 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	Ref.
Ymir	619	22955600.	0.338	45.3	167.5	172.3	204.5	1298.6819	154.5	267.8	48
Paaliaq	620	14997700.	0.378	237.6	318.2	48.5	353.2	685.7153	846.2	704.4	48
Tarvos	621	18216600.	0.522	282.9	64.5	37.8	95.7	917.9840	327.3	352.0	48
Ijiraq	622	11344700.	0.293	68.6	83.4	49.2	152.5	451.1201	1480.8	1223.0	48
Suttungr	623	19391900.	0.116	65.0	171.0	175.7	253.2	1008.2451	205.0	401.5	48
Kiviuq	624	11307400.	0.275	91.8	183.2	48.0	352.7	448.9076	1376.4	1214.7	48
Mundilfari	625	18588200.	0.211	305.4	299.0	167.1	79.2	946.2903	227.0	414.2	48
Albiorix	626	16329200.	0.482	62.8	155.0	36.8	111.1	779.0701	384.4	434.3	48
Skathi	627	15575400.	0.281	202.3	269.3	151.6	284.1	725.7313	374.9	561.8	48
Erriapus	628	17506900.	0.475	279.8	14.3	37.1	146.2	864.9236	362.1	407.8	48
Siarnaq	629	17881100.	0.308	68.4	62.7	47.8	64.0	892.6799	680.6	598.3	48
Thrymr	630	20330500.	0.467	92.2	216.2	175.0	247.3	1082.2292	166.6	263.3	48
Narvi	631	19285000.	0.441	177.9	111.5	142.2	179.0	999.9417	323.7	367.6	48
Aegir	636	20664400.	0.255	244.7	23.5	166.1	181.9	1109.1278	196.6	348.4	48
Bebhionn	637	17027300.	0.459	5.1	128.4	38.6	197.7	829.6437	409.2	451.0	48
Bergelmir	638	19268100.	0.145	133.9	255.7	158.8	207.9	998.6187	246.1	430.9	48
Bestla	639	20337800.	0.486	85.6	33.1	138.3	283.0	1082.9444	333.3	333.6	48
Farbauti	640	20290700.	0.249	343.6	9.0	156.2	138.0	1079.1243	230.5	374.4	48
Fenrir	641	22330800.	0.137	114.5	38.6	164.5	234.6	1245.9215	189.4	350.1	48
Fornjot	642	24936800.	0.213	321.9	53.5	170.0	269.3	1470.3618	150.5	278.6	48
Hati	643	19695000.	0.372	10.4	270.6	165.4	316.3	1032.0236	199.0	325.3	48
Hyrrokkin	644	18340900.	0.336	264.8	214.8	149.9	40.2	927.4569	296.4	418.0	48
Kari	645	22032100.	0.469	160.2	83.1	153.0	288.3	1220.9757	196.7	264.6	48
Loge	646	22919200.	0.191	20.5	32.1	168.1	333.0	1295.5243	161.8	299.8	48
Skoll	647	17623400.	0.463	186.1	181.2	159.4	294.0	873.5736	232.4	337.7	48
Surtur	648	22748000.	0.448	314.4	9.9	168.4	255.3	1281.1396	142.0	222.9	48
Jarnsaxa	650	19273500.	0.218	229.2	175.5	163.0	9.2	999.1271	232.1	410.1	48
Greip	651	18380000.	0.317	146.2	355.9	174.2	335.8	930.4389	212.7	376.1	48
Tarqeq	652	17751000.	0.144	72.2	292.8	48.7	93.3	882.8514	779.6	686.4	48
Gridr	654	19250600.	0.187	271.4	197.0	163.9	330.8	997.3319	225.9	407.9	48
Angrboda	655	20591500.	0.216	104.2	263.0	177.7	279.1	1103.1986	190.8	360.3	48
Skrymir	656	21447400.	0.437	68.1	68.9	175.6	177.7	1172.7215	152.5	247.4	48
Gerd	657	20947500.	0.517	307.2	49.5	174.4	260.4	1131.9062	147.3	222.9	48
S/2004_S_26	658	26097500.	0.147	148.4	193.6	172.9	328.8	1574.2535	142.0	273.4	48
Eggther	659	19844600.	0.157	130.1	111.7	165.0	84.5	1043.8035	218.9	403.0	48
S/2004_S_29	660	17063900.	0.485	309.5	244.1	38.6	157.9	832.2736	382.2	414.1	48
Beli	661	20703700.	0.087	263.5	191.7	158.9	258.7	1112.2687	220.2	392.1	48
Gunnlod	662	21141800.	0.251	24.7	311.4	160.4	293.3	1147.7354	210.0	356.2	48
Thiazzi	663	23577500.	0.511	303.2	334.7	158.8	73.1	1351.8319	144.9	201.4	48
S/2004_S_34	664	24145800.	0.279	354.5	160.0	168.3	292.6	1400.9299	142.2	251.6	48
Alvaldi	665	21993800.	0.238	188.1	38.3	177.4	321.8	1217.8042	171.9	320.8	48
Geirrod	666	22259400.	0.539	349.6	202.2	154.4	127.9	1240.0465	177.2	229.6	48

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: SAT457 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	Ref.
S2004_S_31	65067	17497100.	0.159	253.9	261.8	48.0	82.5	863.9229	777.0	705.3	49
S2004_S_24	65070	23338200.	0.071	338.4	122.1	37.4	354.0	1331.3222	286.4	386.2	49
S2004_S_28	65077	21865900.	0.159	191.9	95.8	167.9	128.8	1207.1833	179.2	336.0	49
S2004_S_21	65079	23160900.	0.394	174.9	198.7	153.2	112.3	1316.1167	188.1	268.3	49
S2004_S_36	65081	23390800.	0.625	213.4	132.0	153.3	212.7	1335.8042	145.7	173.9	49
S2004_S_37	65082	15956300.	0.448	72.4	187.6	158.2	135.3	752.5465	284.6	413.8	49
S2004_S_39	65084	23192400.	0.100	223.3	83.8	165.9	168.9	1318.7417	174.4	328.7	49
S2004_S_7	65085	21327600.	0.511	54.9	116.9	164.8	323.8	1162.9264	162.5	237.0	49
S2004_S_12	65086	19801000.	0.337	88.1	10.9	164.7	306.0	1040.3896	199.0	331.8	49
S2004_S_13	65087	18453700.	0.265	355.4	51.9	169.0	217.8	936.0889	221.3	396.5	49
S2004_S_17	65088	19699000.	0.162	184.5	227.6	167.9	12.5	1032.3694	208.4	390.3	49
S2006_S_1	65089	18746300.	0.105	159.7	86.3	156.1	333.6	958.3236	278.3	477.4	49
S2006_S_3	65090	21353100.	0.432	191.6	125.3	156.1	213.3	1165.0194	190.1	273.4	49
S2007_S_2	65091	15939100.	0.232	46.4	10.0	174.0	107.3	751.3306	275.8	513.1	49
S2007_S_3	65092	19614400.	0.150	323.1	304.5	173.8	99.3	1025.6986	206.2	397.7	49
S2019_S_1	65093	11245400.	0.383	86.6	36.5	49.5	185.6	445.1701	1402.9	1111.8	49
S2019_S_2	65094	16560300.	0.279	103.2	185.1	173.3	95.3	795.6722	256.9	464.3	49
S2019_S_3	65095	17077400.	0.248	129.2	150.3	166.9	243.9	833.1917	261.1	466.7	49
S2020_S_1	65096	11338600.	0.337	73.2	2.1	48.2	161.7	450.7722	1327.3	1136.5	49
S2020_S_2	65097	17869000.	0.152	130.7	19.2	170.7	96.2	891.8576	240.2	457.9	49
S2004_S_40	65098	16075600.	0.297	127.5	291.4	169.2	37.9	760.9993	266.8	469.3	49
S2006_S_9	65100	14406700.	0.249	341.9	65.2	173.0	36.0	645.5771	321.4	590.7	49
S2007_S_5	65101	15835600.	0.104	44.4	23.2	158.4	128.9	744.0056	337.2	594.7	49
S2020_S_3	65102	18056800.	0.142	317.6	135.8	46.0	216.8	905.8410	640.2	639.8	49
S2019_S_4	65103	17951900.	0.408	247.0	217.8	170.1	301.4	898.0889	212.9	347.4	49
S2004_S_41	65104	18095400.	0.301	232.6	343.6	165.7	43.6	908.8924	230.2	396.0	49
S2020_S_4	65105	18236400.	0.496	157.7	178.7	40.1	67.8	919.5174	357.8	371.5	49
S2020_S_5	65106	18391000.	0.220	285.7	232.0	48.2	214.9	931.1889	686.8	610.5	49
S2007_S_6	65107	18545000.	0.168	19.2	347.8	166.5	324.1	942.9785	230.6	427.3	49
S2004_S_42	65108	18240700.	0.158	107.2	325.2	165.7	3.9	919.8847	242.5	448.7	49
S2006_S_10	65109	18979900.	0.151	79.7	173.5	161.6	350.8	976.3438	246.2	442.3	49
S2019_S_5	65110	19090100.	0.216	321.5	59.4	158.8	271.1	984.8722	249.9	424.7	49
S2004_S_43	65111	18935700.	0.432	234.0	14.5	171.1	191.9	972.8528	196.2	315.6	49
S2004_S_44	65112	19515400.	0.129	176.4	292.8	167.7	39.5	1017.9146	219.2	414.9	49
S2004_S_45	65113	19693700.	0.551	350.6	75.7	154.0	306.0	1031.8604	210.7	269.1	49
S2006_S_11	65114	19711900.	0.143	159.9	353.1	174.1	254.4	1033.3521	199.2	385.3	49
S2006_S_12	65115	19570300.	0.542	78.1	249.6	38.6	155.1	1022.2868	292.1	304.4	49
S2019_S_6	65116	18205600.	0.120	286.9	185.7	46.4	154.2	917.1056	654.0	647.0	49
S2006_S_13	65117	19953300.	0.313	254.7	248.5	162.0	44.4	1052.3160	216.5	359.2	49
S2019_S_7	65118	20185100.	0.233	6.3	336.0	174.2	226.6	1070.8007	197.4	367.3	49
S2019_S_8	65119	20287400.	0.311	144.6	31.8	172.8	168.6	1078.8604	187.1	330.8	49
S2019_S_9	65120	20359700.	0.433	316.4	244.7	159.5	114.2	1084.6194	189.5	282.3	49
S2004_S_46	65121	20513800.	0.249	298.1	209.2	177.2	281.1	1096.9882	187.8	348.3	49
S2019_S_10	65122	20700300.	0.248	352.9	149.5	163.9	274.7	1111.9924	204.4	358.2	49
S2004_S_47	65123	16050700.	0.291	295.4	25.2	160.9	294.8	759.2201	297.7	496.3	49
S2019_S_11	65124	20664200.	0.513	28.2	190.5	144.6	327.6	1109.1097	245.7	279.5	49
S2006_S_14	65125	21062300.	0.060	136.1	264.7	166.7	274.4	1141.2708	196.9	376.2	49
S2019_S_12	65126	20895000.	0.476	240.2	221.1	167.1	324.7	1127.5993	170.4	259.5	49
S2020_S_6	65127	21253300.	0.480	27.9	271.2	166.9	7.0	1156.8111	156.3	237.0	49
S2019_S_13	65128	20964500.	0.318	219.8	138.5	177.3	302.5	1133.2653	175.2	311.4	49
S2005_S_4	65129	11324500.	0.315	107.1	247.1	48.0	169.4	449.9250	1334.1	1161.1	49
S2007_S_7	65130	15931600.	0.217	149.6	63.4	169.3	3.8	750.7958	282.6	520.2	49
S2007_S_8	65131	17048900.	0.490	258.7	6.3	36.2	202.2	831.2111	354.7	403.1	49
S2020_S_7	65132	17394000.	0.500	298.8	215.8	161.4	175.7	856.5340	226.8	325.7	49
S2019_S_14	65133	17852800.	0.172	303.2	240.9	46.2	149.6	890.5868	649.3	639.6	49
S2019_S_15	65134	21191100.	0.257	17.9	302.9	157.8	22.0	1151.6611	214.1	352.4	49
S2005_S_5	65135	21364900.	0.588	284.6	9.9	169.5	84.7	1165.9562	137.8	193.0	49
S2006_S_15	65136	21799600.	0.117	224.8	313.6	161.1	12.2	1201.6924	203.8	368.5	49
S2006_S_16	65137	21721200.	0.204	282.9	62.5	164.1	165.4	1195.1285	188.0	337.3	49
S2006_S_17	65138	22384200.	0.425	149.4	206.6	168.7	274.1	1250.4639	158.2	253.2	49
S2004_S_48	65139	22137400.	0.374	286.6	195.0	161.9	194.7	1229.8632	173.2	275.3	49
S2020_S_8	65140	21967200.	0.252	45.0	181.2	161.8	41.8	1215.6063	186.2	319.9	49
S2004_S_49	65141	22399400.	0.453	199.0	19.2	159.8	221.2	1251.6847	169.5	249.1	49
S2004_S_50	65142	22345000.	0.450	197.8	71.5	164.0	175.9	1247.1917	152.9	233.1	49
S2006_S_18	65143	22760600.	0.131	62.5	14.5	169.5	47.6	1282.0917	166.1	317.1	49
S2019_S_16	65144	23265200.	0.250	280.6	351.8	162.0	206.7	1324.9458	177.9	306.5	49
S2019_S_17	65145	22722700.	0.546	317.0	40.5	155.5	125.3	1278.9618	158.6	207.0	49
S2019_S_18	65146	23139500.	0.509	304.5	340.4	154.6	230.6	1314.2674	169.4	225.5	49
S2019_S_19	65147	23044400.	0.458	305.8	335.8	151.8	248.3	1306.1604	179.3	239.4	49
S2019_S_20	65148	23677900.	0.354	198.6	281.1	156.0	176.6	1360.4674	177.1	269.2	49
S2006_S_19	65149	23800500.	0.467	19.2	195.9	175.5	281.1	1371.0201	132.3	209.3	49
S2004_S_51	65150	25207100.	0.201	73.4	85.1	171.2	293.7	1494.4076	136.6	255.6	49
S2020_S_9	65151	25408700.	0.531	171.0	46.4	161.4	15.0	1512.3840	119.9	167.7	49
S2004_S_52	65152	26446400.	0.291	292.6	333.0	165.4	204.7	1605.8868	125.8	217.1	49
S2007_S_9	65153	20174600.	0.360	125.3	240.3	159.3	269.4	1069.8069	212.2	332.9	49
S2004_S_53	65154	23279800.	0.240	284.3	37.3	162.6	215.7	1326.1840	177.5	309.0	49
S2020_S_10	65155	25315300.	0.296	213.5	158.8	165.6	243.6	1503.9681	135.8	234.3	49
S2019_S_21	65156	26439500.	0.155	16.7	346.4	171.9	342.8	1605.2799	138.9	265.6	49
S2006_S_20	65157	13193700.	0.206	77.4	153.1	173.1	60.9	565.7889	370.8	697.0	49

mean ecliptic orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: SAT455 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	Ref.
S2004_S54	65158	11277500.	0.373	108.4	69.3	48.1	80.2	447.1410	1279.3	1085.2	46
S2004_S55	65159	11294700.	0.260	80.0	59.6	48.9	196.6	448.1618	1490.5	1261.8	46
S2004_S56	65160	13670200.	0.339	96.4	165.7	161.6	343.2	596.6938	366.9	596.6	46
S2004_S57	65161	18150500.	0.263	60.9	202.7	167.9	39.1	913.0736	230.2	410.5	46
S2004_S58	65162	18254500.	0.249	120.0	180.1	45.7	284.5	920.8035	592.2	582.7	46
S2004_S59	65163	19170700.	0.262	222.1	282.6	167.3	125.2	991.1819	216.8	385.5	46
S2004_S60	65164	19517000.	0.280	264.3	357.6	173.8	321.7	1018.1285	193.8	350.6	46
S2004_S61	65165	20986900.	0.466	40.4	175.6	168.4	176.4	1135.0646	169.6	262.3	46
S2005_S06	65166	18107300.	0.084	77.4	163.4	47.7	166.5	909.5785	719.1	673.8	46
S2005_S07	65167	18502500.	0.565	132.7	181.1	34.6	269.8	939.7451	274.9	305.9	46
S2006_S21	65168	14976500.	0.204	157.4	40.7	169.8	328.3	684.2764	308.9	573.7	46
S2006_S22	65169	15109500.	0.246	71.7	254.1	172.0	231.1	693.4146	301.9	553.8	46
S2006_S23	65170	18269700.	0.190	72.5	309.9	43.8	257.1	921.8632	555.2	598.4	46
S2006_S24	65171	18210700.	0.352	39.8	10.3	165.9	204.8	917.5590	229.6	382.1	46
S2006_S25	65172	18572400.	0.303	130.1	348.5	158.8	277.4	945.0681	245.1	397.0	46
S2006_S26	65173	18619300.	0.248	2.5	201.0	171.9	147.8	948.6722	219.7	402.7	46
S2006_S27	65174	19205700.	0.140	91.6	6.1	170.5	3.7	993.7889	219.7	420.2	46
S2006_S28	65175	21955100.	0.210	242.2	98.4	172.9	152.8	1214.5257	176.9	331.8	46
S2006_S29	65176	25212100.	0.239	301.4	101.5	156.2	82.4	1494.7833	175.7	286.7	46
S2007_S10	65177	11364900.	0.367	94.2	23.6	45.8	287.1	452.3576	1105.0	1033.5	46
S2007_S11	65178	17434400.	0.499	348.9	233.9	35.5	53.9	859.5264	342.1	392.2	46
S2019_S22	65179	11305100.	0.369	100.5	223.0	47.3	21.1	448.7750	1223.6	1073.8	46
S2019_S23	65180	11310200.	0.255	81.5	1.0	48.7	356.3	449.0806	1460.7	1253.3	46
S2019_S24	65181	11360500.	0.345	74.7	79.3	46.7	205.3	452.0743	1199.1	1090.0	46
S2019_S25	65182	11329400.	0.271	73.9	358.9	48.1	213.7	450.2181	1381.7	1214.6	46
S2019_S26	65183	11390900.	0.365	111.3	164.1	48.1	119.7	453.8882	1268.7	1078.0	46
S2019_S27	65184	16267000.	0.420	97.2	152.1	162.1	115.1	774.6333	264.9	407.6	46
S2019_S28	65185	17496000.	0.199	95.6	307.9	158.4	268.3	864.0938	285.1	486.5	46
S2019_S29	65186	17353900.	0.441	332.7	133.8	37.7	306.9	853.6229	377.4	429.8	46
S2019_S30	65187	17709900.	0.107	5.3	187.8	168.3	356.8	879.9708	254.2	485.4	46
S2019_S31	65188	17739100.	0.488	37.8	35.2	39.8	173.7	882.2410	373.9	392.4	46
S2019_S32	65189	17960500.	0.276	281.4	20.1	46.2	218.1	898.7083	610.4	581.6	46
S2019_S33	65190	18696100.	0.289	46.9	245.6	170.4	186.4	954.5340	209.0	371.6	46
S2019_S34	65191	18446800.	0.536	226.7	78.5	37.6	169.4	935.4472	322.1	344.4	46
S2019_S35	65192	18557800.	0.577	181.1	259.0	157.3	63.3	943.9993	200.7	260.2	46
S2019_S36	65193	19903200.	0.161	278.1	145.8	166.9	353.4	1048.4188	215.1	400.4	46
S2019_S37	65194	19996900.	0.404	355.3	135.8	149.9	273.4	1055.7771	256.7	346.2	46
S2019_S38	65195	21998400.	0.399	303.7	138.3	163.0	216.6	1218.2743	176.5	277.8	46
S2019_S39	65196	23784500.	0.098	327.0	92.5	174.5	273.1	1369.6437	149.5	293.4	46
S2019_S40	65197	24087800.	0.088	242.4	347.6	161.8	44.4	1395.8771	165.8	303.6	46
S2019_S41	65198	24493600.	0.257	40.0	320.7	157.1	11.4	1431.2979	166.7	272.4	46
S2019_S42	65199	24111600.	0.121	84.5	351.4	163.2	318.2	1397.9750	172.4	317.1	46
S2019_S43	65200	26664100.	0.277	108.2	306.2	165.3	116.0	1625.9000	131.4	228.8	46
S2019_S44	65201	26796900.	0.512	332.7	330.6	172.6	223.0	1638.1104	111.3	168.3	46
S2020_S11	65202	11295600.	0.372	110.4	95.9	48.2	94.2	448.2111	1293.2	1093.0	46
S2020_S12	65203	11314500.	0.260	81.2	350.8	50.8	70.5	449.3271	1707.3	1306.1	46
S2020_S13	65204	11415600.	0.373	96.4	230.4	48.0	41.6	455.3875	1248.6	1064.2	46
S2020_S14	65205	16186200.	0.313	54.7	209.3	161.7	355.4	768.8625	285.5	472.4	46
S2020_S15	65206	16729200.	0.462	275.8	141.7	37.1	338.2	807.8243	394.2	448.5	46
S2020_S16	65207	16963400.	0.405	73.1	185.2	167.3	268.6	824.9229	243.0	392.2	46
S2020_S17	65208	17094200.	0.378	287.2	359.0	148.9	210.9	834.4472	330.3	446.2	46
S2020_S18	65209	17777900.	0.180	165.9	218.7	168.9	204.0	885.1153	247.4	462.5	46
S2020_S19	65210	17726700.	0.159	65.5	80.4	48.1	56.1	881.0431	762.4	689.6	46
S2020_S20	65211	17997300.	0.133	230.5	330.0	169.8	92.9	901.5250	238.2	455.2	46
S2020_S21	65212	18862100.	0.307	188.0	95.5	169.9	328.3	967.2604	210.6	369.2	46
S2020_S22	65213	19443000.	0.059	38.4	128.8	161.3	271.4	1012.2410	240.6	440.7	46
S2020_S23	65214	19801500.	0.089	61.5	65.1	165.0	153.6	1040.3757	218.2	410.0	46
S2020_S24	65215	20618300.	0.230	114.8	301.4	159.6	42.2	1105.4083	217.4	370.1	46
S2020_S25	65216	20763700.	0.316	329.0	318.1	171.8	242.2	1117.0889	174.0	305.8	46
S2020_S26	65217	21264400.	0.273	143.0	141.3	163.2	252.9	1157.7660	196.8	338.1	46
S2020_S27	65218	21802300.	0.255	314.6	32.0	145.3	324.5	1202.0160	278.1	377.0	46
S2020_S28	65219	21993700.	0.474	226.7	2.2	160.1	60.9	1217.8104	173.6	251.7	46
S2020_S29	65220	22301400.	0.047	298.7	115.9	169.1	255.9	1243.4493	181.9	353.1	46
S2020_S30	65221	21790700.	0.601	352.3	60.3	154.2	132.1	1201.0187	163.9	201.7	46
S2020_S31	65222	22457300.	0.238	196.2	0.1	163.8	148.1	1256.5035	175.5	309.0	46
S2020_S32	65223	21884100.	0.502	198.2	88.9	169.1	351.6	1208.8486	150.1	226.0	46
S2020_S33	65224	22922500.	0.555	4.3	165.2	162.8	161.7	1295.8500	147.0	203.9	46
S2020_S34	65225	22435600.	0.154	162.8	116.4	160.6	7.7	1254.6069	196.1	348.5	46
S2020_S35	65226	23030300.	0.225	19.8	98.0	174.9	344.7	1304.9653	150.7	282.0	46
S2020_S36	65227	22806200.	0.336	139.7	216.1	168.8	26.9	1286.0292	164.0	280.5	46
S2020_S37	65228	23751800.	0.344	211.7	182.3	174.8	25.1	1366.8215	145.4	252.8	46
S2020_S38	65229	23583900.	0.513	246.3	99.4	159.7	284.0	1352.4347	142.2	199.2	46
S2020_S39	65230	24262400.	0.305	28.9	165.2	160.1	318.8	1411.1451	164.6	269.8	46
S2020_S40	65231	23785900.	0.412	99.4	64.0	167.3	250.5	1369.7562	135.3	217.0	46
S2020_S41	65232	25876400.	0.402	224.9	63.1	160.2	28.3	1554.3993	142.1	218.1	46
S2020_S42	65233	25329400.	0.506	59.1	278.4	157.5	15.4	1505.3118	128.1	176.6	46
S2020_S43	65234	26657400.	0.203	257.0	252.6	164.6	68.7	1625.2931	131.5	236.8	46
S2020_S44	65235	27259400.	0.199	283.8	318.0	168.5	28.0	1680.6410	136.5	252.4	46
S2023_S01	65236	11205400.	0.386	296.8	263.4	48.8	159.6	442.8632	1336.6	1092.5	46
S2023_S02	65237	11309900.	0.339	117.3	257.2	45.7	253.8	449.0535	1136.4	1079.6	46
S2023_S03	65238	17646400.	0.178	264.0	272.6	46.9	93.7	875.0007	688.6	657.1	46
S2023_S04	65239	17764600.	0.276	9.5	123.9	170.0	264.4	884.1111	235.0	420.1	46
S2023_S05	65240	25583500.	0.599	94.9	334.2	168.8	235.0	1528.0368	111.0	153.4	46
S2023_S06	65241	11953100.	0.336	103.7	133.4	47.4	54.4	487.9090	1170.5	1036.4	46
S2023_S07	65242	12133700.	0.284	102.5	102.3	44.7	289.7	499.0097	1009.6	1016.6	46
S2023_S08	65243	14018800.	0.122	278.8	149.6	166.9	240.1	619.6910	359.4	678.2	46
S2023_S09	65244	13167500.	0.141	209.8	285.2	172.2	324.8	564.1139	375.5	722.9	46
S2023_S10	65245	15500200.	0.302	124.7	70.9	163.0	308.1	720.4931	302.7	510.1	46
S2023_S11	65246	14046100.	0.300	76.1	334.2	170.9	193.0	621.4931	328.3	580.9	46
S2023_S12	65247	15805900.	0.601	182.5	339.7	168.8	301.0	741.9167	215.8	297.6	46
S2023_S13	65248	15193000.	0.179	107.5	173.9	168.5	134.2	699.1799	313.7	585.4	46
S2023_S14	65249	16853000.	0.497	351.4	62.7	171.6	291.7	816.8618	219.4	335.0	46
S2023_S15	65250	18241300.	0.549	123.2	159.7	161.9	276.6	919.9347	196.5	271.9	46
S2023_S16	65251	17005300.	0.270	116.9	80.0	162.6	270.6	827.9111	273.0	467.4	46
S2023_S17	65252	17385300.	0.498	246.7	128.1	35.9	240.7	855.9354	332.5	378.0	46
S2023_S18	65253	17381700.	0.448	280.0	169.7	36.7	78.1	855.6535	373.0	432.3	46
S2023_S19	65254	17590300.	0.092	205.4	325.5	48.2	50.1	870.9229	778.5	709.7	46
S2023_S20	65255	17261000.	0.442	322.1	200.6	136.5	112.7	846.7653	490.3	476.7	46
S2023_S21	65256	17755400.	0.077	341.9	38.7	157.3	124.2	883.3083	291.9	511.1	46
S2023_S22	65257	18577500.	0.182	266.5	4.2	47.5	121.8	945.3701	669.1	620.9	46
S2023_S23	65258	18783700.	0.350	91.2	81.8	164.8	187.0	961.2236	223.2	369.2	46
S2023_S24	65259	18351800.	0.374	319.7	54.4	169.7	1.4	928.2451	214.2	358.0	46
S2023_S25	65260	19136600.	0.281	293.8	186.2	166.4	216.6	988.5278	210.2	367.8	46
S2023_S26	65261	19894300.	0.306	108.2	132.2	163.9	147.4	1047.7618	204.1	345.4	46
S2023_S27	65262	19820100.	0.652	117.0	91.2	151.1	306.6	1041.8521	192.5	218.7	46
S2023_S28	65263	19881000.	0.575	2.3	189.6	168.7	59.6	1046.5556	159.7	225.3	46
S2023_S29	65264	20042400.	0.141	47.0	162.8	172.2	227.4	1059.4208	198.7	382.4	46
S2023_S30	65265	18238300.	0.493	191.3	2.7	142.4	250.0	919.7139	330.6	364.1	46
S2023_S31	65266	20729200.	0.182	240.9	308.7	163.0	261.1	1114.2889	212.9	382.4	46
S2023_S32	65267	20454400.	0.037	90.3	30.0	169.8	195.2	1092.2417	205.3	400.2	46
S2023_S33	65268	21621900.	0.665	258.6	49.1	155.8	209.3	1187.0667	147.2	174.7	46
S2023_S34	65269	20803900.	0.570	275.5	293.6	168.4	303.0	1120.3833	149.4	211.4	46
S2023_S35	65270	22269700.	0.151	165.5	92.9	168.5	340.9	1240.7618	174.8	329.8	46
S2023_S36	65271	22230600.	0.359	157.0	312.2	166.3	325.1	1237.6104	162.7	270.0	46
S2023_S37	65272	19889800.	0.215	241.2	244.7	172.3	63.4	1047.3903	204.5	381.7	46
S2023_S38	65273	12823500.	0.909	241.2	244.7	149.2	63.4	546.3146	280.4	256.1	46
S2023_S39	65274	20824500.	0.124	351.9	345.1	164.8	118.3	1121.9938	209.2	389.0	46
S2023_S40	65275	21065100.	0.342	334.7	3.6	169.6	271.4	1141.4813	169.5	289.7	46
S2023_S41	65276	21286400.	0.279	323.0	29.1	172.1	7.2	1159.5160	174.8	314.6	46
S2023_S42	65277	21837000.	0.059	33.2	315.9	166.7	355.1	1204.8146	191.0	365.0	46
S2023_S43	65278	22563900.	0.264	218.0	92.7	170.3	247.3	1265.5667	164.6	296.9	46
S2023_S44	65279	19292400.	0.434	166.3	232.9	167.4	179.9	1000.4722	191.2	301.7	46
S2023_S45	65280	23438400.	0.633	334.1	336.8	157.4	102.2	1339.8472	134.1	166.2	46
S2023_S46	65281	24708900.	0.336	100.4	230.0	143.2	306.8	1450.2715	229.9	284.5	46
S2023_S47	65282	25102300.	0.101	257.3	97.5	162.5	208.4	1485.0417	153.8	282.6	46
S2023_S48	65283	20029200.	0.022	108.2	315.6	169.7	338.7	1058.3493	212.7	414.8	46
S2023_S49	65284	21766500.	0.026	110.7	82.5	171.7	193.8	1198.9896	179.6	353.3	46
S2023_S50	65285	11656500.	0.263	326.3	79.8	166.1	29.0	469.8201	461.2	813.9	46

Satellites of Uranus

mean equatorial orbital elements
Epoch: 2000-01-01.5 TDB
Ephemeris: URA182 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	Ref.
Ariel	701	190929.	0.001	9.6	193.5	0.0	0.0	2.520379	28.901	0.000	45
Umbriel	702	265986.	0.004	183.4	253.0	0.1	174.8	4.144177	64.126	129.745	45
Titania	703	436298.	0.002	184.0	68.1	0.1	29.5	8.705869	579.928	1644.649	45
Oberon	704	583511.	0.002	132.2	143.6	0.1	76.8	13.463237	158.604	192.798	45
Miranda	705	129846.	0.001	154.8	73.0	4.4	100.9	1.413479	8.939	17.787	45
Puck	715	86004.	0.000	0.0	50.1	0.3	216.1	0.761833	2.226	4.454	45

mean orbital elements referred to the local Laplace planes
Epoch: 2025-01-01.0 TDB
Ephemeris: URA184 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	R.A. (deg)	Dec. (deg)	Tilt (deg)	Ref.
Cordelia	706	49755.	0.000	0.0	287.4	0.2	1.1	0.3347	0.0	0.6	77.3	15.2	180.0	10
Ophelia	707	53765.	0.011	19.3	213.4	0.2	151.6	0.3764	0.4	0.8	77.3	15.2	180.0	10
Bianca	708	59170.	0.006	328.0	109.1	2.3	272.5	0.4347	0.5	1.1	77.3	15.2	180.0	10
Cressida	709	61770.	0.004	87.9	0.5	1.8	308.2	0.4639	0.6	1.2	77.3	15.2	180.0	10
Desdemona	710	62663.	0.007	137.0	230.0	3.1	283.9	0.4736	0.6	1.3	77.3	15.2	180.0	10
Juliet	711	64362.	0.006	274.9	319.8	3.0	141.0	0.4931	0.7	1.4	77.3	15.2	180.0	10
Portia	712	66101.	0.004	31.6	310.1	2.7	146.7	0.5132	0.8	1.6	77.3	15.2	180.0	10
Rosalind	713	69930.	0.003	231.8	287.7	1.7	330.0	0.5583	0.9	1.9	77.3	15.2	180.0	10
Belinda	714	75258.	0.002	58.6	226.4	1.4	96.2	0.6236	1.2	2.4	77.3	15.2	180.0	10
Puck	715	86007.	0.009	337.0	264.1	1.1	111.2	0.7618	1.9	3.9	77.3	15.2	180.0	10
Perdita	725	76418.	0.005	296.9	168.0	1.6	270.4	0.6382	1.3	2.6	77.3	15.2	180.0	10
Mab	726	97737.	0.006	318.6	250.8	1.8	307.8	0.9229	3.1	6.1	77.3	15.2	180.0	10
Cupid	727	74396.	0.007	168.0	3.3	2.0	31.1	0.6125	1.2	2.3	77.3	15.2	180.0	10
S2025_U_1	75052	57844.	0.039	313.9	275.6	4.0	70.8	0.4201	0.5	1.0	77.3	15.2	180.0	10

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)	P_apsis (yr)	P_node (yr)	Ref.
Caliban	716	7167000.	0.200	349.7	241.2	141.4	174.9	580.	8795.	6483.	43
Sycorax	717	12193200.	0.520	25.4	332.1	157.0	267.1	1286.	1394.	1863.	43
Prospero	718	16221000.	0.441	180.4	197.6	149.4	324.5	1974.	1154.	1369.	43
Setebos	719	17519800.	0.579	356.1	148.0	153.9	244.7	2215.	48.	48.	43
Stephano	720	7951400.	0.235	17.1	164.4	143.6	193.3	677.	5469.	5190.	43
Trinculo	721	8502600.	0.220	162.2	55.6	167.1	196.5	749.	2589.	4265.	43
Francisco	722	4275700.	0.144	137.6	288.4	146.8	101.9	267.	12473.	14419.	43
Margaret	723	14425000.	0.642	90.7	115.9	60.5	0.9	1655.	-	1002.	43
Ferdinand	724	20421400.	0.395	166.9	172.3	169.2	223.9	2788.	747.	1001.	43
S2023_U1	75051	7976600.	0.250	158.7	101.8	143.9	260.2	681.	5078.	5022.	43

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)	P_apsis (yr)	P_node (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	24
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	24
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	24
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	24
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	24
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	24
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	24
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	24

mean ecliptic orbital elements
Epoch: 2020-01-01.0 TDB
Ephemeris: NEP105 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	Ref.
Nereid	802	5513900.	0.751	296.8	318.5	5.1	319.5	360.133039	7990.433	9426.334	44

mean ecliptic orbital elements
Epoch: 2020-01-01.0 TDB
Ephemeris: NEP104 [ table legend ]

Satellite	Code	a (km)	e	ω (deg)	M (deg)	i (deg)	node (deg)	P (days)	P_apsis (yr)	P_node (yr)	Ref.
Halimede	809	16590500.	0.521	157.9	135.8	119.6	198.5	1879.	5395.	5156.	43
Psamathe	810	47646600.	0.413	148.2	183.2	127.8	302.9	9149.	1484.	1333.	43
Sao	811	22239900.	0.296	93.5	178.5	50.2	41.8	2919.	-	4454.	43
Laomedeia	812	23499900.	0.419	146.2	248.1	36.9	57.6	3168.	2255.	3154.	43
Neso	813	49897800.	0.455	89.8	13.8	128.4	55.4	9805.	-	1116.	43
S2002_N5	85051	23414700.	0.433	59.1	303.2	46.3	258.3	3151.	2869.	3121.	43
S2021_N1	85052	50700200.	0.503	90.4	237.1	135.2	258.9	10043.	-	924.	43

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)	P_apsis (yr)	P_node (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
P_apsis	argument of periapsis precession period
P_node	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

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.
J. K. Campbell, J. D. Anderson (1989) "Gravity Field of the Saturnian System from Pioneer and Voyager Tracking Data". AJ 97:1485-1495.
M. Brozović, R. A. Jacobson (2009) "The Orbits of the Outer Uranian Satellites". AJ 137:3834-3842.
R. A. Jacobson (2009) "The Orbits of the Neptunian Satellites and the Orientation of the Pole of Neptune". AJ 137:4322-4329.
M. Brozović, R. A. Jacobson, S. S. Sheppard (2011) "The Orbits of the Outer Neptunian Satellites". AJ 141:135.
M. Brozović, R. A. Jacobson (2024) "Post-New Horizons orbits and masses for the satellites of Pluto". AJ 167:256.
M. Brozović, R. A. Jacobson, R. S. Park (2025) "Revised Ephemerides of the Martian Satellites, Phobos and Deimos". AJ 00:00.
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.
R. A. Jacobson (2014) "Update of the irregular Uranian satellite orbits with data through 2013 — URA112". personal communication to Horizons/NAIF.
M. Brozovic (2025) "Update of the Uranian rocks orbits with JWST data — URA184". personal communication to Horizons/NAIF.
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.
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.
R. A. Jacobson, V. Lainey (2014) "Martian Satellite Orbits and Ephemerides". Planet. Space Sci. 102:35-44.
Alex S. Konopliv, Ryan S. Park, William M. Folkner (2016) "An improved JPL Mars gravity field and orientation from Mars orbiter and lander tracking data". Icarus 274:253-260.
M. Brozović, M. R. Showalter, R. A. Jacobson, M. W. Buie (2015) "The orbits and masses of satellites of Pluto". Icarus 246:317-329.
M. Brozović, R. A. Jacobson (2017) "The Orbits of Jupiter's Irregular Satellites". AJ 153:147.
R. A. Jacobson (2018) "Rock ephemeris file from fit to all Cassini data — SAT415". personal communication to Horizons/NAIF.
M. Brozović, R. A. Jacobson (2019) "The Orbits of the inner satellites of Uranus: solution URA115". Interoffice Memo. 392R-19-007 (internal document).
R. A. Jacobson, M. Brozović, 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.
R. A. Jacobson (2019) "Ephemerides of the unnamed Saturnian irregulars including the 20 newly discovered ones — SAT428". personal communication to Horizons/NAIF.
R. A. Jacobson (2020) "Ephemerides for the final comprehensive Cassini reconstruction — SAT427". personal communication to Horizons/NAIF.
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.
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).
M. Brozović (2020) "Update of the inner Neptunian satellite orbits — NEP097". personal communication to Horizons/NAIF.
M. Brozović (2024) "Update of the outer Uranian satellite orbits — URA117". personal communication to Horizons/NAIF.
M. Brozović (2024) "Update of the outer Neptunian satellite orbits — NEP103". personal communication to Horizons/NAIF.
M. Brozović (2021) "Outer jovians with astrometry up to Nov 2020 — JUP344". personal communication to Horizons/NAIF.
M. Brozović (2021) "Update of the inner Neptunian satellite orbits — NEP100". personal communication to Horizons/NAIF.
R. A. Jacobson (2021) "The Orbits of the Regular Jovian Satellites and the Orientation of the Pole of Jupiter". personal communication to Horizons/NAIF.
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.
M. Brozović (2021) "Update of Pluto's satellite orbits — PLU058". personal communication to Horizons/NAIF.
M. Brozović, R. A. Jacobson (2021) "Ephemeris update ura116 for the irregular satellites of Uranus". Interoffice Memo. 392R-21-009 (internal document).
R. A. Jacobson (2021) "Ephemerides of the unnamed Saturnian irregulars including the newly discovered S/2019~S1 — SAT450". personal communication to Horizons/NAIF.
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.
Marina Brozović, Robert A. Jacobson (2022) "Orbits of the irregular satellites of Uranus and Neptune". AJ 163:241.
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.
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.
R. A. Jacobson (2023) "Ephemerides of the Neptunian irregulars — NEP102". personal communication to Horizons/NAIF.
M. Brozović (2023) "Ephemerides of the 12 new jovian irregulars — JUP345". personal communication to Horizons/NAIF.
M. Brozović (2023) "Ephemerides of the 15 new jovian irregulars — JUP346". personal communication to Horizons/NAIF.
R. A. Jacobson (2023) "Update of the provisional irregular Saturnian satellite orbits with data through 2022 — SAT453". personal communication to Horizons/NAIF.
R. A. Jacobson (2024) "Update of the irregular Saturnian satellite orbits with data through 2023 — SAT454". personal communication to Horizons/NAIF.
S. S. Sheppard, D. J. Tholen, M. Brozović, R. A. Jacobson, C. A. Trujillo, P. S. Lykawa, Alexandersen M. (2024) "New Moons of Uranus and Neptune from Ultra-Deep Pencil Beam Surveys". AJ, pp. .
R. A. Jacobson (2024) "Update of the orbit of the irregular Neptunian satellite Nereid with data through 2021 — NEP105". personal communication to Horizons/NAIF.
Robert A. Jacobson, Ryan S. Park (2025) "The Orbits of Uranus, Its Satellites and Rings, the Gravity Field of the Uranian System, and the Orientation of the Poles of Uranus and Its Satellites". AJ 169:65-82.
M. Brozović, R. A. Jacobson (2025) "Ephemerides of the 129 new Saturanian irregulars — SAT455". personal communication to Horizons/NAIF.
R. A. Jacobson (2025) "Ephemerides of the Jovian irregulars — JUP347". personal communication to Horizons/NAIF.
R. A. Jacobson (2025) "Ephemerides of the IAU recognized Saturnian irregulars — SAT456". personal communication to Horizons/NAIF.
R. A. Jacobson (2025) "Redelivery of ephemerides of the provisional Saturnian irregulars from SAT454 — SAT457". personal communication to Horizons/NAIF.