It orbits the Sun at a distance of 4.8–5.7 AU once every 12 years (4,393 days; semi-major axis of 5.25 AU). Its orbit has an eccentricity of 0.09 and an inclination of 3° with respect to the ecliptic.[4] As a Jupiter Trojan it is in a very stable orbit. Its closest approach to any major planet will be on 5 May 2083 when it will still be 3.104 AU (464,000,000 km; 289,000,000 mi) from Mars.[b] The body's observation arc begins at Heidelberg in February 1930, three weeks after its official discovery observation.[1]
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 (WISE), Odysseus measures between 114.62 and 130.81 kilometers in diameter and its surface has an albedo between 0.050 and 0.0753.[10][11][12]
The Collaborative Asteroid Lightcurve Link adopts the results obtained by IRAS, that is, an albedo of 0.0753 and a diameter of 125.64 kilometers based on an absolute magnitude of 7.93.[5] In May 2005, an asteroid occultation gave a best-fit dimension of 126 km × 126 km for the major and minor axis of the occultation ellipse.[8][9]
An estimated mean diameter of 130, 125 or 114 kilometers, measured by Akari, IRAS and WISE, makes Odysseus the 7th, 8th or 10th largest Jupiter Trojan, respectively.[c]
100+ largest Jupiter trojans
Largest Jupiter Trojans by survey(A) (mean-diameter in kilometers; YoD: Year of Discovery)
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.
As of 2018, analysis of the best-rated lightcurve from observations by the Kepler space observatory during its K2 mission observing Campaign Field 6 in September 2015, gave a well-defined period of 10.114 hours with a brightness amplitude of 0.20 magnitude (U=3).[5][18]
^"Observer Table for Asteroid 1143 Odysseus" obtained by using JPL Horizons On-Line Ephemeris System (link), with Observer Location set to "Mars (body center) [500@499]".
^JPL Small-Body Database Search Engine: orbital class (TJN) and diameter > 50 (km) Archived 13 December 2012 at archive.today
^ abcdTedesco, 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. 12: IRAS-A-FPA-3-RDR-IMPS-V6.0. Bibcode:2004PDSS...12.....T. Retrieved 15 June 2018.