A stability study of asteroid families near the 3:1 and 5:2 resonance with Jupiter

Astronomy and Astrophysics – Astronomy

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Asteroids, Numerical Integration, Orbital Resonances (Celestial Mechanics), Solar Orbits, Equations Of Motion, Jupiter (Planet), Saturn (Planet), Solar System, Taxonomy

Scientific paper

The stability and homogeneity of three asteroid families from Lindblad's list (1992) are studied using numerical integration techniques. These families include the Maria family, which lies close to the 3:1 mean motion resonance with Jupiter, the Oppavia-Gefion, and Dora families which are close to the 5:2 resonance. The study is based on a simplified solar system model, which takes into account the perturbations only by Jupiter and Saturn, and Everhart's variable stepsize integrator RA15. Preliminary results indicate that the stability of the orbits of all family members are not affected by the proximity to the 3:1 and 5:2 mean motion resonance with Jupiter.

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