Asymmetric periodic orbits in the threebody problem and their stability.
Abstract
An algorithm for the numerical determination of asymmetric periodic solutions of the planar general three body problem is described. The elements of the "variational" matrix which are used in this algorithm are computed by numerical integration of the corresponding "variational" equations. These elements are also used in the study of the linear isoenergetic stability. A number of asymmetric periodic orbits are presented and their stability parameters are given.
 Publication:

IAU Colloq. 74: Dynamical Trapping and Evolution in the Solar System
 Pub Date:
 1983
 DOI:
 10.1007/9789400972148_26
 Bibcode:
 1983ASSL..106..249T
 Keywords:

 Dynamic Stability;
 Orbit Perturbation;
 Three Body Problem;
 Equations Of Motion;
 Numerical Integration;
 Variational Principles;
 Astronomy;
 Periodic Orbits:Stability;
 Periodic Orbits:ThreeBody Problem;
 ThreeBody Problem:Periodic Orbits