Open AccessPerturbative solution of the motion of an asteroid in resonance with Jupiter
Author(s) -
Vrbik Jan
Publication year - 2000
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2000.03450.x
Subject(s) - physics , asteroid , perturbation (astronomy) , jupiter (rocket family) , celestial mechanics , planet , jupiter mass , perturbation theory (quantum mechanics) , orbital elements , three body problem , classical mechanics , orbital mechanics , asteroid belt , astrophysics , astronomy , planetary mass , planetary system , quantum mechanics , space exploration , satellite
Using a new technique, we derive general formulae for the rate of change of orbital parameters of an asteroid with negligible mass, perturbed by a massive planet (such as Jupiter) having a commensurable period. The relative strength of the perturbing force defines the perturbation parameter, but our results are also expanded in terms of both eccentricities (of the perturbing and the perturbed body) and the mutual inclination. This approach can serve as a valuable tool in the ongoing study of the so‐called stable chaos, and may facilitate its ultimate explanation.