Coalescence Time of Compact Binary Systems

Lutendo Nyadzani; Soebur Razzaque

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arXiv · 1905.06086

Coalescence Time of Compact Binary Systems

Lutendo Nyadzani·Soebur Razzaque

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Abstract

Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of separation between the orbiting objects and eccentricity ($e$) of the orbit. We develop an improved analytical solution to the coalescence time for a circular binary system with an arbitrary semi-major axis, to the first post-Newtonian (1PN) accuracy. The results from the quadruple approximation and 1PN approximation are compared for a circular orbit ($e=0$).

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Lutendo Nyadzani, Soebur Razzaque. 2019-05-15. Coalescence Time of Compact Binary Systems. https://arxiv.org/abs/1905.06086

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