Chapter

Two‐body problem in general relativity

H. Asada, T. Futamase and P. A. Hogan

in Equations of Motion in General Relativity

Published in print December 2010 | ISBN: 9780199584109
Published online January 2011 | e-ISBN: 9780191723421 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199584109.003.0004

Series: International Series of Monographs on Physics

Two‐body problem in general relativity

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For a binary star system the periastron advance per orbit period is calculated as well as the Shapiro time delay in radar arrival time due to the passage of the signal through the gravitational field of the binary. The effect of gravitational radiation reaction on the orbital period and on the shape of the orbit is derived by studying the perturbations of the osculating elements of the orbit and alternatively by using traditional energy and angular momentum balance arguments. The gravitational interaction of spin is also discussed.

Keywords: binary system; periastron advance; Shapiro time delay; orbital period decay; orbital shrinkage

Chapter.  12409 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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