Physics
Scientific paper
Jul 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cosre..27....6v&link_type=abstract
Cosmic Res., Vol. 27, No. 1, p. 6 - 11
Physics
Minor Planets: Resonances, Minor Planets: Orbits
Scientific paper
A numerical method is described for the investigation of the evolution of resonance asteroid orbits over long time intervals. Two successive algorithms for averaging the perturbing function and the right sides of the differential equations in the osculating elements are used to eliminate the fast variables. One of them eliminates the mean longitudes of the asteroid and perturbing planet with the resonance variable held constant. Numerical integration of the averaged equations is used for the next averaging over the period of variation of the semimajor axis of the asteroid orbit. The numerical integration of the twice-averaged equations can be used to investigate the qualitative properties of the evolution over time intervals of 10 - 100 kyr, which is illustrated by several asteroids having highly elliptical orbits with large inclinations to the plane of the ecliptic.
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