Some Nonlinear Effects in the Relativistic TwoBody Problem (English translation)
Abstract
The testparticle motion in the centrally symmetric gravitational field can be described by the equation in the form appropriate for a nonlinear oscillator — the nonlinear terms being due to the nonrelativistic effects. This enables us to apply to this equation the wellknown asymptotic methods of the theory of nonlinear oscillations. Typical nonlinear oscillation phenomena arising from the action of external forces are shown to take place. The form of equations and the main results remain valid in the problem of two bodies of comparable mass in the postNewtonian approximation.
 Publication:

Astrophysics and Space Science
 Pub Date:
 August 1978
 DOI:
 10.1007/BF00639327
 Bibcode:
 1978Ap&SS..57..303P
 Keywords:

 Celestial Mechanics;
 Nonlinear Systems;
 Relativistic Effects;
 Two Body Problem;
 Einstein Equations;
 Gravitational Fields;
 Oscillations;
 Particle Motion;
 Astronomy