Numerical determination of asymmetric periodic solutions in the planar general three body problem and their stability
Abstract
A numerical study of asymmetric periodic solutions of the planar general three body problem is presented. The equations of variation are integrated numerically and the algorithms for the numerical determination of families of such periodic orbits are given. These orbits refer to a rotating frame of reference. The linear isoenergetic stability is examined through the stability parameters while the results are given in tables and figures.
- Publication:
-
Earth Moon and Planets
- Pub Date:
- February 1984
- DOI:
- 10.1007/BF00118094
- Bibcode:
- 1984EM&P...30...79T
- Keywords:
-
- Celestial Mechanics;
- Orbital Mechanics;
- Periodic Functions;
- Systems Stability;
- Three Body Problem;
- Isoenergetic Processes;
- Linear Systems;
- Mass Ratios;
- Rotation;
- Variational Principles;
- Astronomy