Numerical Determination of Proper Inclinations of HildaType Asteroids
Abstract
Proper inclination and proper eccentricity are constants of integration in the theory of secular perturbations of an asteroid. This theory is based on simplified differential equations, and therefore it is not applicable to Hildatype motion, a case of 3/2 resonance with respect to Jupiter. Numerical integration is necessary for an analogous study of the eccentric Hildatype orbits. Values of proper eccentricity of real Hildas had resulted from such a study. Here the conditions of nature are approximated stepwise by proceeding from a simplified model to the rigorous problem SunJupiterSaturnasteroid. This procedure leads to a way of determining proper inclinations of Hildas. Longperiod integrations do not show variations of these characteristic values.
 Publication:

Celestial Mechanics
 Pub Date:
 October 1982
 DOI:
 10.1007/BF01230671
 Bibcode:
 1982CeMec..28..189S
 Keywords:

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