Explicit Semianalytical Theory of Asteroid Motion

A new semianalytical theory of asteroid motion is presented. The theory is developed on the basis of Kaula's expansion of the disturbing function including terms up to the second order with respect to the masses of disturbing bodies. The theory is constructed in explicit form that gives the pos...

Full description

Saved in:
Bibliographic Details
Published in:Celestial mechanics and dynamical astronomy 1999-01, Vol.73 (1-4), p.87-96
Main Authors: Tupikova, Iv, Vakhidov, Aa, Soffel, M
Format: Article
Language:English
Subjects:
Asteroids
Planets
Studies
Theory
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new semianalytical theory of asteroid motion is presented. The theory is developed on the basis of Kaula's expansion of the disturbing function including terms up to the second order with respect to the masses of disturbing bodies. The theory is constructed in explicit form that gives the possibility to study separately the influence of different perturbations in the dynamics of minor planets. The mean-motion resonances with major planets as well as mixed three-body resonances can also be taken into account. For the non-resonant case the formulas obtained can be used for deriving the second transformation to calculate the proper elements of an asteroid orbit in closed form with respect to inclinations and eccentricities.[PUBLICATION ABSTRACT]
ISSN:0923-2958
1572-9478
DOI:10.1023/A:1008382626990