A preliminary analysis of the orbit of the Mars Trojan asteroid (5261) Eureka
Abstract
Observations and results of orbit determination of the first known Mars Trojan asteroid (5261) Eureka are presented. We have numerically calculated the evolution of the orbital elements, and have analyzed the behavior of the motion during the next 2 Myr. Strong perturbations by planets other than Mars seem to stabilize the eccentricity of the asteroid by stirring the high order resonances present in the elliptic restricted problem. As a result, the orbit appears stable at least on megayear timescales. The difference of the mean longitudes of Mars and Eureka and the semimajor axis of the asteroid form a pair of variables that essentially behave in an adiabatic manner, while the evolution of the other orbital elements is largely determined by the perturbations due to other planets.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 January 1994
 DOI:
 10.1007/BF00692117
 Bibcode:
 1994CeMDA..58...53M
 Keywords:

 Asteroids;
 Eccentric Orbits;
 Mars (Planet);
 Orbit Calculation;
 Orbit Perturbation;
 Orbital Elements;
 Planetary Orbits;
 Adiabatic Conditions;
 Eccentricity;
 ASTEROIDS;
 TROJAN ASTEROIDS;
 EUREKA;
 ORBIT;
 MARS;
 NUMERICAL METHODS;
 ORBITAL ELEMENTS;
 MOTION;
 PERTURBATION;
 ECCENTRICITY;
 RESONANCE;
 DATA;
 STABILITY;
 CELESTIAL MECHANICS;
 TIMESCALE;
 CALCULATIONS;
 EVOLUTION;
 INCLINATION;
 LIBRATION;
 Astrophysics; Asteroids;
 Mars;
 Trojan;
 Asteroid