The very-high-eccentricity asymmetric expansion of the disturbing function near resonances of any order.
The potential of the force acting on a resonant asteroid, due to Jupiter, is averaged about a libration center. This expansion is suitable to study the motion of very-high-eccentricity librators as the Griquas (2:1, e = 0.3 - 0.5) and the Alindas (3:1, e = 0.5 - 0.7). The technique used follows one introduced by Woltjer in 1928 and reconsidered by Ferraz-Mello in 1987. In this paper it is extended to resonances of higher-orders and is valid for elliptic motions of any eccentricity.
Astronomy and Astrophysics
- Pub Date:
- November 1989
- Disturbing Functions;
- Eccentric Orbits;
- Orbital Resonances (Celestial Mechanics);
- Two Body Problem;
- Jupiter (Planet);
- Lagrangian Equilibrium Points;