High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
作者： Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting
DOI: 10.1103/PHYSREVD.81.084033
关键词: Classical mechanics 、 Circular orbit 、 Physics 、 Gravitational wave 、 Measure (mathematics) 、 Schwarzschild metric 、 Gravitation 、 Invariant (mathematics) 、 Observable 、 Schwarzschild radius 、 Mathematical analysis
摘要: We continue a previous work on the comparison between post-Newtonian (PN) approximation and gravitational self-force (SF) analysis of circular orbits in Schwarzschild background. show that numerical SF data contain physical information corresponding to extremely high PN approximations. nd knowing analytically determined appropriate parameters helps tremendously allowing be used obtain higher order coecients. Using standard theory we compute leading 4PN next-to-leading 5PN logarithmic terms conservative part dynamics compact binary system. The perturbative results support well analytic calculations through rst mass ratio, are accurately measure non-logarithmic coecients particular gauge invariant observable. Furthermore able give estimates contributions up 7PN level. also conrm with precision value 3PN
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