The ideal resonance problem at first order.
Abstract
Perturbations of the first order are removed jointly by a canonical transformation representing the hunting effect, and by a change of the time to synchronize the perturbed pendulum. Both operations are expressed in elementary functions. The reduced system is a simple pendulum integrable by elliptic functions.
- Publication:
-
Astrodynamics 1981
- Pub Date:
- August 1982
- Bibcode:
- 1982asdy.conf..521D
- Keywords:
-
- Perturbation Theory;
- Resonance;
- Elliptic Functions;
- Hamiltonian Functions;
- Pendulums;
- Synchronism;
- Physics (General);
- Celestial Mechanics;
- Celestial Bodies:Figures