Numerical determination of proper inclinations of Hilda-type asteroids

Details Numerical determination of proper inclinations of Hilda-type asteroids Numerical determination of proper inclinations of Hilda-type asteroids

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..28..189s&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 7th, Oberwolfach, West Germany, Aug. 24-28, 1981.) Celestial Mechani

Mathematics

3

Asteroids, Eccentric Orbits, Numerical Integration, Orbit Perturbation, Orbital Mechanics, Four Body Problem, Inclination, Secular Variations, Three Body Problem

Scientific paper

Because it is based on simplified differential equations, the theory of secular perturbations of an asteroid, in which proper inclination and proper eccentricity are constants of integration, are not applicable to Hilda-type motion. Such motion is a case of 3/2 resonance with respect to Jupiter, and numerical integration is necessary for an analogous study of the eccentric Hilda-type orbits. The procedure in which actual conditions are approximated by stepwise progression from a simplified model to the rigorous sun Jupiter-Saturn-asteroid problem leads to a way of determining proper Hilda inclinations. Long term integrations show no variations of these characteristic values.

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