The evolution of asteroid orbits in the case of second- and third-order commensurabilities
Abstract
Consideration is given to the orbits of asteroids for which the ratio of their mean motions to that of a perturbing body is approximately equal to (k + l)/k, where l equals 2 or 3 and k is an integer. A classification of trajectories is carried out. Expressions for the orbital elements are obtained in Weierstrass functions.
- Publication:
-
Astronomicheskii Zhurnal
- Pub Date:
- December 1986
- Bibcode:
- 1986AZh....63.1215G
- Keywords:
-
- Asteroids;
- Celestial Mechanics;
- Orbital Elements;
- Solar Orbits;
- Three Body Problem;
- Evolution (Development);
- Quadratures;
- Trajectory Analysis;
- Weierstrass Functions;
- Astrophysics