Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solution

Details Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solution Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solution

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..92...89m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 92, Issue 1-3, pp. 89-111

Astronomy and Astrophysics

Astronomy

3

Hilda Asteroids, Perturbation Theory, Proper Elements

Scientific paper

In this paper, we present the mathematical basis for the calculation of proper elements for asteroids in 3:2 mean-motion resonance with Jupiter from their osculating Keplerian elements. The method is based on a new resonant Lie-series perturbation theory (Ferraz-Mello, 1997, 2002), which allows the construction of formal solutions in cases where resonant and long-period angles appear simultaneously. For the disturbing function, we used the Beaugé’s expansion (Beaugé, 1996), adapted to include short period terms. In this paper, the theory is restricted to the planar case and only the perturbations due to Jupiter are considered.

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