A Survey of the Dynamics of MainBelt Asteroids. I
Abstract
We present a survey of the dynamical structure of the main asteroid belt between Mars and Jupiter. The results are displayed as 3dimensional plots showing the dynamical evolution of fictitious asteroids with initial semimajor axes ranging from 0.3 to 0.8 (in units of the semimajor axis of Jupiter's orbit) which includes all the existing main belt asteroids. The initial eccentricity of these bodies was fixed between 0.0 and 0.25 which is in the most interesting range. We chose a mesh with a grid width in initial semimajor axis ∆a = 0.002 and ∆e = 0.025 in initial eccentricity. The orbits of about 3500 fictitious asteroids (2750 are shown in the graphs) were integrated numerically over 10^{4} Jupiter periods corresponding to approximately 10^{5} years. We take the standard deviations σ of the semimajor axis α, eccentricity e and inclination i, as parameters characterizing the orbital perturbations due to Jupiter. These σ(α), σ(e), σ(i) are plotted as functions of the initial conditions α and e. All the main perturbations associated with the mean motion resonance are well reproduced. These results are compared to existing numerical ones and also to recently derived analytical developments. Furthermore, our results do not only reproduce the actual distribution of the main belt asteroids with respect to the semimajor axis, but also reveal some "new" resonances which are manifested through larger deviations of the three elements mentioned.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 July 1993
 Bibcode:
 1993A&A...274..627D
 Keywords:

 ASTEROIDS;
 ASTEROID BELT;
 DYNAMICS;
 KIRKWOOD GAPS;
 HILDA ASTEROIDS;
 EVOLUTION;
 ECCENTRICITY;
 PROCEDURE;
 ORBIT;
 SIMULATION;
 COMPARISON;
 NUMERICAL METHODS;
 INCLINATION;
 ORBITAL ELEMENTS;
 PERTURBATION;
 MODEL;
 DISTRIBUTION;
 RESONANCE;
 STRUCTURE;
 SPECTRA;
 TIMESCALE;
 main belt asteroids;
 kirkwood gaps;
 Hildas;
 elliptic restricted problem;
 Asteroids