The motion of a pair of gravitating bodies, including the radiation reaction force

Details The motion of a pair of gravitating bodies, including the radiation reaction force The motion of a pair of gravitating bodies, including the radiation reaction force

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983pazh....9..436g&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 9, July-Aug. 1983, p. 436-440) Soviet Astronomy Letters (ISSN 0360-0327), vol. 9, July-

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics, Gravitational Waves, Orbit Perturbation, Radiation Pressure, Two Body Problem, Braking, Kepler Laws, Orbital Elements, Secular Variations

Scientific paper

The equations of relative motion for a pair of nonrotating spherically symmetric bodies are derived and solved in the (v/c)5 approximation, where the reaction force representing braking by gravitational radiation first appears. The force is determined explicitly, and both periodic and secular corrections to the Keplerian orbital elements are obtained. The invariant distance l between the bodies will undergo a secular decrease.

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