Mathematics
Scientific paper
Jan 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980icar...41...89k&link_type=abstract
Icarus, vol. 41, Jan. 1980, p. 89-95.
Mathematics
11
Asteroids, Disturbing Functions, Orbit Perturbation, Orbital Elements, Secular Variations, Comets, Eccentricity, Inclination, Librational Motion, Mathematical Models, Orbital Mechanics, Asteroids, Orbits, Perturbations, Eccentricity, Inclination, Comparisons, Short-Period Comets, Data, Motion, Catalogs, Hungarian Asteroids, Apollo Asteroids, Planet Crossers, Energy, Ganymed Asteroids, Perihelion, Pallas Asteroids, Librations, Hecuba Asteroids, Hestia Asteroids, Trojan Asteroids
Scientific paper
A seminumerical method for calculating the secular perturbations for asteroids with high eccentricities and/or inclinations by including higher-degree terms in the disturbing function is presented. It is applied to asteroids with small values of the conjugate variable, and it is found that the arguments of perihelion for five of the numbered asteroids are librating around 90 or 270 deg. The results of the secular variations are tabulated for asteroids with the conjugate variable less than 0.85, and the stability of such orbits is discussed by comparing the orbital properties with those of the short-period comets. Generally, orbits of asteroids are more stable than those of short period comets, and asteroids with librating arguments of perihelion are more stable than those with circular coplanar orbits.
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