Periodic solutions of the relativistic restricted circular threebody problem
Abstract
Consideration of the motion of a passively gravitating material point in the gravitational field of two bodies of finite mass describing circular orbits about a common center of inertia within the framework of the relativistic restricted threebody problem. Using Poincare's smallparameter method, the existence of periodic solutions in the relativistic restricted circular problem of three bodies encompassing two attracting masses is demonstrated.
 Publication:

Moskovskii Universitet Vestnik Seriia Matematika Mekhanika
 Pub Date:
 1974
 Bibcode:
 1974MVSMM..29R..91S
 Keywords:

 Circular Orbits;
 Existence Theorems;
 Gravitational Fields;
 Relativistic Effects;
 Three Body Problem;
 Celestial Mechanics;
 Equations Of Motion;
 Orbital Mechanics;
 Periodic Functions;
 Poincare Problem;
 Astrodynamics