A Survey of the Dynamics of Main-Belt Asteroids. I

Details A Survey of the Dynamics of Main-Belt Asteroids. I A Survey of the Dynamics of Main-Belt Asteroids. I

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...274..627d&link_type=abstract

Astronomy and Astrophysics, vol. 274, 627-641. Article.

Astronomy and Astrophysics

Astrophysics

10

Main Belt Asteroids, Kirkwood Gaps, Hildas, Elliptic Restricted Problem, 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

Scientific paper

We present a survey of the dynamical structure of the main asteroid belt between Mars and Jupiter. The results are displayed as 3-dimensional 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 Δa = 0.002 and Δe = 0.025 in initial eccentricity. The orbits of about 3500 fictitious asteroids (2750 are shown in the graphs) were integrated numerically over 104 Jupiter periods corresponding to approximately 105 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.

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