Note on accuracy of the post-Newtonian approximation for extreme-mass ratio inspirals: retrograde orbits

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation by using the gravitational energy flux derived numerically a...

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Bibliographic Details
Published in:Classical and quantum gravity 2018-01, Vol.35 (2), p.27001
Main Authors: Fujita, Ryuichi, Sago, Norichika, Nakano, Hiroyuki
Format: Article
Language:English
Subjects:
extreme-mass ratio inspirals
post-Newtonian approximation
region of validity
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Summary:The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation by using the gravitational energy flux derived numerically and analytically in the black hole perturbation approach. It is found that the edge of the allowable region behaves quite intricately, including prograde orbits even if we treat higher post-Newtonian orders.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aa9ad5