Periodic solutions of the relativistic restricted circular three-body 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 three-body problem. Using Poincare's small-parameter 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