4709 Ennomos

4709 Ennomos /ˈɛnəməs/ is a large Jupiter trojan from the Trojan camp and the namesake of the small Ennomos family, approximately 81 kilometers (50 miles) in diameter. It was discovered on 12 October 1988, by American astronomer Carolyn Shoemaker at the Palomar Observatory in California.[1] The relatively bright and possibly elongated Jovian asteroid belongs to the 40 largest Jupiter trojans and has a rotation period of 12.3 hours.[4] It was named after Ennomus (Ennomos), a Trojan warrior killed by Achilles.[1]

4709 Ennomos

Shape model of Ennomos from its lightcurve
Discovery [1]
Discovered by	C. Shoemaker
Discovery site	Palomar Obs.
Discovery date	12 October 1988
Designations
MPC designation	(4709) Ennomos
Pronunciation	/ˈɛnəməs/[2]
Named after	Ennomus [1] (or Ennomos) (Greek mythology)
Alternative designations	1988 TU2 · 1954 UM1 1977 UT2
Minor planet category	Jupiter trojan [1][3][4] · Trojan [5][6] Ennomos [7] · background [6]
Orbital characteristics [3]
Epoch 23 March 2018 (JD 2458200.5)
Uncertainty parameter 0
Observation arc	66.80 yr (24,398 d)
Aphelion	5.3542 AU
Perihelion	5.1345 AU
Semi-major axis	5.2443 AU
Eccentricity	0.0209
Orbital period	12.01 yr (4,387 d)
Mean anomaly	204.60°
Mean motion	0° 4^m 55.56^s / day
Inclination	25.452°
Longitude of ascending node	253.12°
Argument of perihelion	86.215°
Jupiter MOID	0.0877 AU
TJupiter	2.8050
Physical characteristics
Mean diameter	80.03±2.17 km[8] 80.85±4.3 km[9] 81.23 km (derived)[4] 91.43±0.78 km[10]
Rotation period	11.12±0.01 h[11] 12.267±0.002 h[12][lower-alpha 1] 12.269±0.001 h[13][lower-alpha 1] 12.2696 h[4] 12.271±0.001 h[14][lower-alpha 1] 12.275±0.008 h[15]
Geometric albedo	0.0744±0.009[9] 0.077±0.009[10] 0.078±0.005[8] 0.0972 (derived)[4]
Spectral type	C (assumed)[4] B–V = 0.670±0.060[16] V–R = 0.350±0.040[16] V–I = 0.690±0.017[4]
Absolute magnitude (H)	8.5[1][3] 8.6[4][10] 8.62±0.57[17] 8.90[8][9]

Orbit and classification

Ennomos is a Jovian asteroid orbiting in the trailing Trojan camp at Jupiter's L₅ Lagrangian point, 60° behind its orbit in a 1:1 resonance (see Trojans in astronomy).[5]

It orbits the Sun at a distance of 5.1–5.4 AU once every 12 years (4,387 days; semi-major axis of 5.24 AU). Its orbit has an eccentricity of 0.02 and an inclination of 25° with respect to the ecliptic.[3] The body's observation arc begins with a precovery taken at Palomar in August 1951, more than 37 years prior to its official discovery observation.[1]

Small Ennomos family

This Jupiter trojan is also the namesake of the Ennomos family (009),[7] a small Jovian asteroid family with 30 known members.[18] The family was first identified by Jakub Rozehnal and Miroslav Brož in 2011.[19] It also includes 1867 Deiphobus, one of the largest Jovian trojans.[18]

As the existence of this family is not well established, Ennomos is still considered part of the Jovian background population by another HCM-analysis (Knezevic and Milan).[6] It is speculated that Ennomos might be an unrelated interloper in its own family rather than its parent body.[19] As of 2018, only a few families have been identified among the Jovian asteroids. These are the Hektor family, the Eurybates family, and the Arkesilaos family as well as two unnamed families, 006 and 010).[18]

Naming

This minor planet was named by the discoverer from Greek mythology after the Trojan warrior Ennomus (Ennomos), who was one of many Trojans killed by Achilles in the waters of the River Skamander.[1] The official naming citation was published by the Minor Planet Center on 28 April 1991 (M.P.C. 18144).[20]

Physical characteristics

Ennomos is an assumed C-type asteroid. Its V–I color index of 0.69 is untypically low compared to most other large Jupiter trojans.[4]

Rotation period

In December 1990, a rotational lightcurve of Ennomos was obtained by Italian astronomers Stefano Mottola and Mario Di Martino using the 1.52-meter Loiano Telescope at the Observatory of Bologna in Italy. Lightcurve analysis gave a well-defined rotation period of 12.275 hours with a relatively high brightness amplitude of 0.47 magnitude (U=3), indicative of a non-spherical, elongated shape.[4][15]

Between 2015 and 2017, photometric observations by Daniel Coley and Robert Stephens at the Center for Solar System Studies, California, gave several concurring periods of 12.267, 12.269 and 12.271 with an amplitude between 0.43 and 0.46 magnitude (U=3/3/3).[12][13][14] This also supersedes a period form Stephens taken at the GMARS Observatory (G79) in September 2011.[11]

Diameter and albedo

According to the surveys carried out by the Infrared Astronomical Satellite IRAS, the Japanese Akari satellite and the NEOWISE mission of NASA's Wide-field Infrared Survey Explorer, Ennomos measures between 80.03 and 91.43 kilometers in diameter and its surface has an albedo between 0.077 and 0.078.[8][9][10] The Collaborative Asteroid Lightcurve Link derives an albedo of 0.0972 and a diameter of 81.23 kilometers based on an absolute magnitude of 8.6.[4] Also, Rozehnal and Brož cite a high visual albedo of approximately 0.15 in their publication.[19]

100+ largest Jupiter trojans

Largest Jupiter Trojans by survey^(A) (mean-diameter in kilometers; YoD: Year of Discovery)
Designation	H	WISE	IRAS	Akari	Ln	RP	V–I	YoD	Ref
624 Hektor	7.2	225	233	230.99	L4	6.92	0.930	1907	list
617 Patroclus	8.19	140.362	140.92	140.85	L5	102.80	0.830	1906	list
911 Agamemnon	7.89	131.038	166.66	185.30	L4	6.59	0.980	1919	list
588 Achilles	8.67	130.099	135.47	133.22	L4	7.31	0.940	1906	list
3451 Mentor	8.4	126.288	116.30	117.91	L5	7.70	0.770	1984	list
3317 Paris	8.3	118.790	116.26	120.45	L5	7.09	0.950	1984	list
1867 Deiphobus	8.3	118.220	122.67	131.31	L5	58.66	0.930	1971	list
1172 Äneas	8.33	118.020	142.82	148.66	L5	8.71	0.950	1930	list
1437 Diomedes	8.3	117.786	164.31	172.60	L4	24.49	0.810	1937	list
1143 Odysseus	7.93	114.624	125.64	130.81	L4	10.11	0.860	1930	list
2241 Alcathous	8.64	113.682	114.63	118.87	L5	7.69	0.940	1979	list
659 Nestor	8.99	112.320	108.87	107.06	L4	15.98	0.790	1908	list
3793 Leonteus	8.7	112.046	86.26	87.58	L4	5.62	0.780	1985	list
3063 Makhaon	8.4	111.655	116.14	114.34	L4	8.64	0.830	1983	list
1583 Antilochus	8.6	108.842	101.62	111.69	L4	31.54	0.950	1950	list
884 Priamus	8.81	101.093	96.29	119.99	L5	6.86	0.900	1917	list
1208 Troilus	8.99	100.477	103.34	111.36	L5	56.17	0.740	1931	list
1173 Anchises	8.89	99.549	126.27	120.49	L5	11.60	0.780	1930	list
2207 Antenor	8.89	97.658	85.11	91.32	L5	7.97	0.950	1977	list
2363 Cebriones	9.11	95.976	81.84	84.61	L5	20.05	0.910	1977	list
4063 Euforbo	8.7	95.619	102.46	106.38	L4	8.85	0.950	1989	list
2357 Phereclos	8.94	94.625	94.90	98.45	L5	14.39	0.960	1981	list
4709 Ennomos	8.5	91.433	80.85	80.03	L5	12.28	0.690	1988	list
2797 Teucer	8.7	89.430	111.14	113.99	L4	10.15	0.920	1981	list
2920 Automedon	8.8	88.574	111.01	113.11	L4	10.21	0.950	1981	list
(15436) 1998 VU30	9.1	87.646	85.71	78.63	L4	8.97	0.870	1998	list
3596 Meriones	9.2	87.380	75.09	73.28	L4	12.96	0.830	1985	list
2893 Peiroos	9.23	86.884	87.46	86.76	L5	8.96	0.950	1975	list
4086 Podalirius	9.1	85.495	86.89	85.98	L4	10.43	0.870	1985	list
4060 Deipylos	9.3	84.043	79.21	86.79	L4	9.30	0.760	1987	list
1404 Ajax	9.3	83.990	81.69	96.34	L4	29.38	0.960	1936	list
4348 Poulydamas	9.5	82.032	70.08	87.51	L5	9.91	0.840	1988	list
5144 Achates	9.0	80.958	91.91	89.85	L5	5.96	0.920	1991	list
4833 Meges	8.9	80.165	87.33	89.39	L4	14.25	0.940	1989	list
2223 Sarpedon	9.41	77.480	94.63	108.21	L5	22.74	0.880	1977	list
(4489) 1988 AK	9.0	76.595	92.93	95.02	L4	12.58	0.950	1988	list
2260 Neoptolemus	9.31	76.435	71.65	81.28	L4	8.18	0.950	1975	list
5254 Ulysses	9.2	76.147	78.34	80.00	L4	28.72	0.970	1986	list
(3708) 1974 FV1	9.3	75.661	79.59	76.75	L5	6.55	0.980	1974	list
2674 Pandarus	9.1	74.267	98.10	101.72	L5	8.48	1.000	1982	list
3564 Talthybius	9.4	73.730	68.92	74.11	L4	40.59	0.900	1985	list
4834 Thoas	9.1	72.331	86.82	96.21	L4	18.19	0.950	1989	list
(7641) 1986 TT6	9.4	71.839	68.97	75.28	L4	27.77	0.980	1986	list
3540 Protesilaos	9.3	70.225	76.84	87.66	L4	8.95	0.940	1973	list
(11395) 1998 XN77	9.8	68.977	64.71	67.78	L4	17.38	–	1998	list
(4035) 1986 WD	9.6	68.733	68.23	66.99	L4	13.47	0.970	1986	list
5264 Telephus	9.4	68.472	73.26	81.38	L4	9.53	0.970	1991	list
1868 Thersites	9.5	68.163	70.08	78.89	L4	10.48	0.960	1960	list
(9799) 1996 RJ	9.6	68.033	64.87	72.42	L4	21.52	0.910	1996	list
4068 Menestheus	9.5	67.625	62.37	68.46	L4	14.40	0.950	1973	list
(23135) 2000 AN146	9.9	66.230	58.29	68.50	L4	8.69	0.860	2000	list
2456 Palamedes	9.3	65.916	91.66	99.60	L4	7.24	0.920	1966	list
3709 Polypoites	9.1	65.297	99.09	85.23	L4	10.04	1.000	1985	list
1749 Telamon	9.5	64.898	81.06	69.14	L4	16.98	0.970	1949	list
3548 Eurybates	9.6	63.885	72.14	68.40	L4	8.71	0.730	1973	list
4543 Phoinix	9.7	63.836	62.79	69.54	L4	38.87	1.200	1989	list
12444 Prothoon	9.8	63.835	64.31	62.41	L5	15.82	–	1996	list
4836 Medon	9.5	63.277	67.73	78.70	L4	9.82	0.920	1989	list
(16070) 1999 RB101	9.7	63.191	64.13	68.98	L5	20.24	0.960	1999	list
(15440) 1998 WX4	9.6	62.519	66.48	71.88	L4	21.43	0.970	1998	list
(4715) 1989 TS1	9.7	62.097	63.91	65.93	L5	8.81	0.850	1989	list
(34746) 2001 QE91	9.8	61.684	60.51	63.63	L5	19.63	0.950	2001	list
(38050) 1998 VR38	9.8	61.603	61.04	50.44	L4	18.85	0.990	1998	list
5130 Ilioneus	9.7	60.711	59.40	52.49	L5	14.77	0.960	1989	list
5027 Androgeos	9.6	59.786	57.86	n.a.	L4	11.38	0.910	1988	list
(6090) 1989 DJ	9.4	59.568	74.53	81.92	L4	18.48	0.980	1989	list
(5648) 1990 VU1	9.7	59.295	63.91	n.a.	L5	37.56	0.900	1990	list
7119 Hiera	9.7	59.150	76.40	77.29	L4	400	0.950	1989	list
4805 Asteropaios	10.0	57.647	53.16	43.44	L5	12.37	–	1990	list
16974 Iphthime	9.8	57.341	55.43	57.15	L4	78.9	0.960	1998	list
4867 Polites	9.8	57.251	58.29	64.29	L5	11.24	1.010	1989	list
2895 Memnon	10.0	56.706	55.67	n.a.	L5	7.50	0.710	1981	list
4708 Polydoros	9.9	54.964	55.67	n.a.	L5	7.52	0.960	1988	list
(21601) 1998 XO89	10.0	54.909	55.67	56.08	L4	12.65	0.970	1998	list
(12929) 1999 TZ1	9.9	54.077	61.04	55.34	L5	9.27	0.880	1999	list
17492 Hippasos	10.0	53.975	55.67	n.a.	L5	17.75	–	1991	list
5652 Amphimachus	10.1	53.921	53.16	52.48	L4	8.37	1.050	1992	list
2759 Idomeneus	9.9	53.676	61.01	52.55	L4	32.38	0.910	1980	list
(5258) 1989 AU1	10.2	53.275	50.77	n.a.	L4	19.85	1.010	1989	list
(12126) 1999 RM11	10.1	53.202	n.a.	n.a.	L5	n.a.	?	1999	list
(15502) 1999 NV27	10.0	53.100	55.67	50.86	L5	15.13	0.875	1999	list
4754 Panthoos	10.0	53.025	53.15	56.96	L5	27.68	–	1977	list
4832 Palinurus	10.0	52.058	53.16	n.a.	L5	5.32	1.000	1988	list
5126 Achaemenides	10.5	51.922	44.22	48.57	L4	53.02	–	1989	list
3240 Laocoon	10.2	51.695	50.77	n.a.	L5	11.31	0.880	1978	list
4902 Thessandrus	9.8	51.263	61.04	71.79	L4	738	0.960	1989	list
11552 Boucolion	10.1	51.136	53.16	53.91	L5	32.44	–	1993	list
(20729) 1999 XS143	10.4	50.961	46.30	n.a.	L4	5.72	1.000	1999	list
(6545) 1986 TR6	10.1	50.951	53.16	n.a.	L4	16.26	0.910	1986	list
4792 Lykaon	10.1	50.870	53.16	n.a.	L5	40.09	0.960	1988	list
21900 Orus	10.0	50.810	55.67	53.87	L4	13.45	0.950	1999	list
1873 Agenor	10.1	50.799	53.76	54.38	L5	20.60	–	1971	list
5028 Halaesus	10.2	50.770	50.77	n.a.	L4	24.94	0.900	1988	list
2146 Stentor	9.9	50.755	58.29	n.a.	L4	16.40	–	1976	list
4722 Agelaos	10.0	50.378	53.16	59.47	L5	18.44	0.910	1977	list
5284 Orsilocus	10.1	50.159	53.16	n.a.	L4	10.31	0.970	1989	list
11509 Thersilochos	10.1	49.960	53.16	56.23	L5	17.37	–	1990	list
5285 Krethon	10.1	49.606	58.53	52.61	L4	12.04	1.090	1989	list
4791 Iphidamas	10.1	49.528	57.85	59.96	L5	9.70	1.030	1988	list
9023 Mnesthus	10.1	49.151	50.77	60.80	L5	30.66	–	1988	list
5283 Pyrrhus	9.7	48.356	64.58	69.93	L4	7.32	0.950	1989	list
4946 Askalaphus	10.2	48.209	52.71	66.10	L4	22.73	0.940	1988	list
(22149) 2000 WD49	10.2	48.190	50.77	50.37	L4	7.84	1.090	2000	list
(32496) 2000 WX182	10.2	48.017	50.77	51.63	L5	23.34	0.950	2000	list
5120 Bitias	10.2	47.987	50.77	n.a.	L5	15.21	0.780	1988	list
12714 Alkimos	10.1	47.819	61.04	54.62	L4	28.48	–	1991	list
(7352) 1994 CO	9.9	47.731	55.67	47.07	L5	648	0.850	1994	list
1870 Glaukos	10.6	47.649	42.23	n.a.	L5	5.99	—	1971	list
4138 Kalchas	10.1	46.462	53.16	61.04	L4	29.2	0.810	1973	list
(23958) 1998 VD30	10.2	46.001	50.77	47.91	L4	562	0.990	1998	list
4828 Misenus	10.4	45.954	46.30	43.22	L5	12.87	0.920	1988	list
4057 Demophon	10.1	45.683	53.16	n.a.	L4	29.82	1.060	1985	list
4501 Eurypylos	10.4	45.524	46.30	n.a.	L4	6.05	–	1989	list
4007 Euryalos	10.3	45.515	48.48	53.89	L4	6.39	–	1973	list
5259 Epeigeus	10.3	44.741	42.59	44.42	L4	18.42	–	1989	list
30705 Idaios	10.4	44.546	46.30	n.a.	L5	15.74	–	1977	list
16560 Daitor	10.7	43.861	51.42	43.38	L5	–	–	1991	list
(15977) 1998 MA11	10.4	43.530	46.30	51.53	L5	250	0.906	1998	list
7543 Prylis	10.6	42.893	42.23	n.a.	L4	17.80	–	1973	list
4827 Dares	10.5	42.770	44.22	n.a.	L5	19.00	–	1988	list
1647 Menelaus	10.5	42.716	44.22	n.a.	L4	17.74	0.866	1957	list
^(A) Used sources: WISE/NEOWISE catalog (NEOWISE_DIAM_V1 PDS, Grav, 2012); IRAS data (SIMPS v.6 catalog); and Akari catalog (Usui, 2011); RP: rotation period and V–I (color index) taken from the LCDB Note: missing data was completed with figures from the JPL SBDB (query) and from the LCDB (query form) for the WISE/NEOWISE and SIMPS catalogs, respectively. These figures are given in italics. Also, listing is incomplete above #100.

Notes

1. Lightcurve plots of (4709) Ennomos from Feb 2015, Dec 2015/Jan 2016 and Feb 2017 by Daniel Coley and Robert Stephens at the Center for Solar System Studies (U81). Quality code is 3/3-/2 (lightcurve rating at CS3). Summary figures at the LCDB and CS3.

References

1. "4709 Ennomos (1988 TU2)". Minor Planet Center. Retrieved 11 June 2018.
2. Noah Webster (1884) A Practical Dictionary of the English Language
3. "JPL Small-Body Database Browser: 4709 Ennomos (1988 TU2)" (2018-05-23 last obs.). Jet Propulsion Laboratory. Retrieved 11 June 2018.
4. "LCDB Data for (4709) Ennomos". Asteroid Lightcurve Database (LCDB). Retrieved 11 June 2018.
5. "List of Jupiter Trojans". Minor Planet Center. 30 May 2018. Retrieved 11 June 2018.
6. "Asteroid (4709) Ennomos – Proper elements". AstDyS-2, Asteroids – Dynamic Site. Retrieved 6 June 2018.
7. "Asteroid 4709 Ennomos". Small Bodies Data Ferret. Retrieved 11 June 2018.
8. Usui, Fumihiko; Kuroda, Daisuke; Müller, Thomas G.; Hasegawa, Sunao; Ishiguro, Masateru; Ootsubo, Takafumi; et al. (October 2011). "Asteroid Catalog Using Akari: AKARI/IRC Mid-Infrared Asteroid Survey". Publications of the Astronomical Society of Japan. 63 (5): 1117–1138. Bibcode:2011PASJ...63.1117U. doi:10.1093/pasj/63.5.1117. Retrieved 15 June 2018. (online, AcuA catalog p. 153)
9. Tedesco, E. F.; Noah, P. V.; Noah, M.; Price, S. D. (October 2004). "IRAS Minor Planet Survey V6.0". NASA Planetary Data System – IRAS-A-FPA-3-RDR-IMPS-V6.0: IRAS-A-FPA-3-RDR-IMPS-V6.0. Bibcode:2004PDSS...12.....T. Retrieved 15 June 2018.
10. Grav, T.; Mainzer, A. K.; Bauer, J. M.; Masiero, J. R.; Nugent, C. R. (November 2012). "WISE/NEOWISE Observations of the Jovian Trojan Population: Taxonomy". The Astrophysical Journal. 759 (1): 10. arXiv:1209.1549. Bibcode:2012ApJ...759...49G. doi:10.1088/0004-637X/759/1/49. (online catalog)
11. French, Linda M.; Stephens, Robert D.; Coley, Daniel R.; Megna, Ralph; Wasserman, Lawrence H. (July 2012). "Photometry of 17 Jovian Trojan Asteroids" (PDF). Minor Planet Bulletin. 39 (3): 183–187. Bibcode:2012MPBu...39..183F. ISSN 1052-8091. Retrieved 19 March 2020.
12. Stephens, Robert D.; Coley, Daniel R.; French, Linda M. (July 2016). "A Report from the L5 Trojan Camp - Lightcurves of Jovian Trojan Asteroids from the Center for Solar System Studies" (PDF). Minor Planet Bulletin. 43 (3): 265–270. Bibcode:2016MPBu...43..265S. ISSN 1052-8091. Retrieved 19 March 2020.
13. Stephens, Robert D.; Coley, Daniel R. (July 2017). "Lightcurve Analysis of Trojan Asteroids at the Center for Solar System Studies 2017 January - March" (PDF). Minor Planet Bulletin. 44 (3): 252–257. Bibcode:2017MPBu...44..252S. ISSN 1052-8091. Retrieved 19 March 2020.
14. Stephens, Robert D.; Coley, Daniel, R.; French, Linda M. (January 2016). "Large L5 Jovian Trojan Asteroid Lightcurves from the Center for Solar System Studies" (PDF). Minor Planet Bulletin. 43 (1): 15–22. Bibcode:2016MPBu...43...15S. ISSN 1052-8091. Retrieved 19 March 2020.
15. Mottola, Stefano; Di Martino, Mario; Erikson, Anders; Gonano-Beurer, Maria; Carbognani, Albino; Carsenty, Uri; et al. (May 2011). "Rotational Properties of Jupiter Trojans. I. Light Curves of 80 Objects". The Astronomical Journal. 141 (5): 32. Bibcode:2011AJ....141..170M. doi:10.1088/0004-6256/141/5/170.
16. Chatelain, Joseph P.; Henry, Todd J.; French, Linda M.; Winters, Jennifer G.; Trilling, David E. (June 2016). "Photometric colors of the brightest members of the Jupiter L5 Trojan cloud". Icarus. 271: 158–169. Bibcode:2016Icar..271..158C. doi:10.1016/j.icarus.2016.01.026.
17. Veres, Peter; Jedicke, Robert; Fitzsimmons, Alan; Denneau, Larry; Granvik, Mikael; Bolin, Bryce; et al. (November 2015). "Absolute magnitudes and slope parameters for 250,000 asteroids observed by Pan-STARRS PS1 - Preliminary results". Icarus. 261: 34–47. arXiv:1506.00762. Bibcode:2015Icar..261...34V. doi:10.1016/j.icarus.2015.08.007.
18. Nesvorný, D.; Broz, M.; Carruba, V. (December 2014). Identification and Dynamical Properties of Asteroid Families. Asteroids IV. pp. 297–321. arXiv:1502.01628. Bibcode:2015aste.book..297N. doi:10.2458/azu_uapress_9780816532131-ch016. ISBN 9780816532131.
19. Broz, M.; Rozehnal, J. (June 2011). "Eurybates – the only asteroid family among Trojans?". Monthly Notices of the Royal Astronomical Society. 414 (1): 565–574. arXiv:1109.1109. Bibcode:2011MNRAS.414..565B. doi:10.1111/j.1365-2966.2011.18420.x.
20. "MPC/MPO/MPS Archive". Minor Planet Center. Retrieved 11 June 2018.

External links

• Long-term evolution of asteroid families among Jovian Trojans, Jakub Rozehnal and Miroslav Brož (2014)
• Lightcurve Database Query (LCDB), at www.minorplanet.info
• Dictionary of Minor Planet Names, Google books
• Discovery Circumstances: Numbered Minor Planets (1)-(5000) – Minor Planet Center
• 4709 Ennomos at AstDyS-2, Asteroids—Dynamic Site
  • Ephemeris · Observation prediction · Orbital info · Proper elements · Observational info
• 4709 Ennomos at the JPL Small-Body Database
  • Close approach · Discovery · Ephemeris · Orbit diagram · Orbital elements · Physical parameters