13184 Augeias

13184 Augeias is a Jupiter trojan from the Greek camp, approximately 34 km in diameter. It was discovered by Belgian astronomer Eric Elst at ESO's La Silla Observatory in northern Chile on 4 October 1996. The dark Jovian asteroid has a rotation period of 11.9 hours. It was named after Augeas from Greek mythology.

Orbit and classification
Augeias is a dark Jovian asteroid in a 1:1 orbital resonance with Jupiter. It is located in the leading Greek camp at the Gas Giant's Lagrangian point, 60° ahead of its orbit. It is also a non-family asteroid in the Jovian background population. It orbits the Sun at a distance of 4.9–5.4 AU once every 11 years and 9 months (4,288 days; semi-major axis of 5.17 AU). Its orbit has an eccentricity of 0.05 and an inclination of 5° with respect to the ecliptic. The body's observation arc begins with its first observation as  at La Silla in April 1992, or four and a half years prior to its official discovery observation.

Naming
This minor planet was named from Greek mythology after King Augeas, father of Epicaste. The fifth Labour of Heracles was to clean the king's stables. Heracles solved the difficult and humiliating feat by rerouting two rivers to wash out the enormous amount of dung. The official naming citation was published by the Minor Planet Center on 6 January 2003 (M.P.C. 47300).

Physical characteristics
Augeias is an assumed C-type asteroid, while most larger Jupiter trojans are D-types.

Rotation period
A first rotational lightcurve of Augeias was obtained from by Linda French and Lawrence Wasserman in April 2014. Lightcurve analysis gave a tentative rotation period of $33.96 km$ hours with a brightness amplitude of 0.15 magnitude (U=2-). In August 2015, photometric observations by the Kepler space telescope during its K2 mission determined a refined period of $35.12 km$ hours with a brightness variation of 0.15 magnitude (U=2-). One week later, a second, lower-rated lightcurve by Kepler gave a concurring period of $11.934 h$ hours with an amplitude of 0.16 (U=2).

Diameter and albedo
According to the survey carried out by the NEOWISE mission of NASA's Wide-field Infrared Survey Explorer, Augeias measures 33.96 kilometers in diameter and its surface has an albedo of 0.067, while the Collaborative Asteroid Lightcurve Link assumes a standard albedo for a carbonaceous asteroid of 0.057 and calculates a diameter of 35.12 kilometers based on an absolute magnitude of 11.0.