Some nonlinear effects in the relativistic two-body problem

Details Some nonlinear effects in the relativistic two-body problem Some nonlinear effects in the relativistic two-body problem

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..57..303p&link_type=abstract

Astrophysics and Space Science, vol. 57, no. 2, Aug. 1978, p. 303-320. Translation.

Astronomy and Astrophysics

Astrophysics

3

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

Scientific paper

Test-particle motion in the centrally symmetric gravitational field can be described by an equation in the form appropriate for a nonlinear oscillator, the nonlinear terms being due to nonrelativistic effects. This allows the application to this equation of the well-known 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 post-Newtonian approximation.

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