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We analytically compute, to linear order in the mass-ratio, the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body to the eight-and-a-half post-Newtonian order, thereby extending previous analytical knowledge which was limited to the third post-Newtonian level.
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T. Damour, P. Jaranowski and G. Schaefer, “On the determination of the last stable orbit for circular general relativistic binaries at the third postNewtonian approximation,” Phys. Rev. D 62
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L. Barack and A. Ori, “Mode sum regularization approach for the selfforce in black hole space-time,” Phys. Rev. D 61
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T. Damour, “Coalescence of two spinning black holes: an effective one-body approach,” Phys. Rev. D 64
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S. L. Detweiler, “Radiation reaction and the selfforce for a point mass in general relativity,” Phys. Rev. Lett. 86
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L. Barack, Y. Mino, H. Nakano, A. Ori and M. Sasaki, “Calculating the gravitational selfforce in Schwarzschild space-time,” Phys. Rev. Lett. 88
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S. L. Detweiler and B. F. Whiting, “Selfforce via a Green’s function decomposition,” Phys. Rev. D 67
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N. Sago, H. Nakano and M. Sasaki, “Gauge problem in the gravitational self force. 1. Harmonic gauge approach in the Schwarzschild background,” Phys. Rev. D 67
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H. Nakano, N. Sago and M. Sasaki, “Gauge problem in the gravitational selfforce. 2. First postNewtonian force under Regge-Wheeler gauge,” Phys. Rev. D 68
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W. Hikida, H. Nakano and M. Sasaki, “Self-force regularization in the Schwarzschild spacetime,” Class. Quant. Grav. 22
2005
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W. Hikida, S. Jhingan, H. Nakano, N. Sago, M. Sasaki and T. Tanaka, “A New analytical method for self-force regularization. s. Testing the efficiency for circular orbits,” Prog. Theor. Phys. 113
2005
Cited alongside, same era.
G. Faye, L. Blanchet and A. Buonanno, “Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion,” Phys. Rev. D 74
2006
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L. Barack, “Gravitational self force in extreme mass-ratio inspirals,” Class. Quant. Grav. 26
2009
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N. Straumann, General Relativity
2013
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