Effect of Oblateness on Triangular Solutions at Critical Mass
Abstract
At critical mass the triangular equilibria in the planar restricted threebody problem, when the more massive primary is an oblate spheroid with its equatorial plane coincident with the plane of motion, are in general unstable due to the presence of secular terms in the solutions of linearized equations of motion in the vicinity of these points. Existence of retrograde elliptic periodic orbits is established through suitable velocity components. The eccentricity of these orbits increases with the oblateness.
 Publication:

Astrophysics and Space Science
 Pub Date:
 February 1979
 DOI:
 10.1007/BF00644329
 Bibcode:
 1979Ap&SS..60..247S
 Keywords:

 Mass Ratios;
 Oblate Spheroids;
 Three Body Problem;
 Critical Mass;
 Dynamic Stability;
 Equations Of Motion;
 Orbital Mechanics;
 Astronomy