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The two-body problem in General Relativity has been the subject of many analytical investigations.
1915
Earlier work this paper cites.
J. Droste, Versl. K. Akad. Wet. Amsterdam, 19
1916
Earlier work this paper cites.
W. De Sitter, Mon. Not. R. Astr. Soc. 76
1916
Earlier work this paper cites.
H.A. Lorentz and J. Droste, Versl. K. Akad. Wet. Amsterdam 26
1917
Earlier work this paper cites.
J. Chazy, La théorie de la Relativité et la Mécanique Céleste, vols. 1 and 2 (Gauthier-Villars, Paris, 1928 and 1930)
1930
Earlier work this paper cites.
A. Einstein, L. Infeld and B. Hoffmann, Ann. Math. 39
1938
Earlier work this paper cites.
A. Eddington and G.L. Clark, Proc. Roy. Soc. (Lond.) A166
1938
Earlier work this paper cites.
V.A. Fock, Zh. Eksp. i. Teor. Fiz. 9
1939
Earlier work this paper cites.
T. Levi-Civita, Am. J. Math. 59
1950
Earlier work this paper cites.
V.A. Fock, The Theory of Space, Time and Gravitation (Russian edition, Moscow, State Technical Publications, 1955)
1955
Earlier work this paper cites.
L. Infeld and J. Plebanski, Motion and Relativity (Pergamon Press, Oxford, 1960)
1960
Earlier work this paper cites.
F. K. Manasse: J. Math. Phys. 4
1963
Earlier work this paper cites.
1964
Earlier work this paper cites.
Brézin, E., Itzykson, C. and Zinn-Justin, J., “Relativistic balmer formula including recoil effects”, Phys. Rev. D
1970
Earlier work this paper cites.
G. ’t Hooft and M. J. G. Veltman: Regularization and renormalization of gauge fields, Nucl. Phys. B 44
1972
Earlier work this paper cites.
Davis, M., Ruffini, R. and Tiomno, J., “Pulses of gravitational radiation of a particle falling radially into a Schwarzschild black hole”, Phys. Rev. D
1972
Earlier work this paper cites.
T. Ohta, H. Okamura, T. Kimura and K. Hiida, “Physically acceptable solution of einstein’s equation for many-body system,” Prog. Theor. Phys. 50
1973
Earlier work this paper cites.
H. Okamura, T. Ohta, T. Kimura and K. Hiida, “Perturbation calculation of gravitational potentials,” Prog. Theor. Phys. 50
1973
Earlier work this paper cites.
T. Ohta, H. Okamura, T. Kimura and K. Hiida, “Coordinate Condition and Higher Order Gravitational Potential in Canonical Formalism,” Prog. Theor. Phys. 51
1974
Earlier work this paper cites.
P. D. D’Eath: Phys. Rev. D 11
1975
Earlier work this paper cites.
D. M. Eardley: Astrophys. J. 196
1975
Earlier work this paper cites.
C. M. Will, D. M. Eardley: Astrophys. J. 212
1977
Earlier work this paper cites.
R. E. Kates: Phys. Rev. D 22
1980
Earlier work this paper cites.
T. Damour and N. Deruelle, “Radiation Reaction and Angular Momentum Loss in Small Angle Gravitational Scattering,” Phys. Lett. A 87
1981
Earlier work this paper cites.
T. Damour; Problème des deux corps et freinage de rayonnement en relativité générale. 1982. C.R. Acad. Sc. Paris, Série II, 294
1982
Earlier work this paper cites.
T. Damour; Gravitational radiation and the motion of compact bodies. 1983. in Gravitational Radiation
1983
Earlier work this paper cites.
T. Damour: Gravitational radiation and the motion of compact bodies
1983
Earlier work this paper cites.
K. S. Thorne and J. B. Hartle: Laws of motion and precession for black holes and other bodies, Phys. Rev. D 31
1984
Earlier work this paper cites.
S.M. Kopeikin, Astron. Zh. 62
1985
Earlier work this paper cites.
G. Schaefer, “The Gravitational Quadrupole Radiation Reaction Force and the Canonical Formalism of ADM,” Annals Phys. 161
1985
Earlier work this paper cites.
Damour, T. and Schäfer, G., “Higher order relativistic periastron advances and binary pulsars”, Nuovo Cim. B
1988
Earlier work this paper cites.
Blanchet, L. and Damour, T., “Postnewtonian generation of gravitational waves”, Annales Poincaré Phys. Theor
1989
Earlier work this paper cites.
V.A. Brumberg, Essential Relativistic Celestial Mechanics
1991
Earlier work this paper cites.
Damour, T. and Iyer, B.R., “PostNewtonian generation of gravitational waves. 2. The Spin moments”, Annales Poincaré Phys. Theor
1991
Earlier work this paper cites.
Blanchet, L. and Damour, T., “Hereditary Effects In Gravitational Radiation”, Phys. Rev. D
1992
Earlier work this paper cites.
C. M. Will: Theory and experiment in gravitational physics
1993
Earlier work this paper cites.
S.M. Kopeikin, Celestial Mechanics 44
1993
Earlier work this paper cites.
T. Damour, M. Soffel and C. M. Xu: General relativistic celestial mechanics. 1. Method and definition of reference system, Phys. Rev. D 43
1994
Earlier work this paper cites.
Price, R.H. and Pullin, J., “Colliding black holes: The Close limit”, Phys. Rev. Lett
1994
Earlier work this paper cites.
Tagoshi, H. and Sasaki, M., “Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbit around a Schwarzschild Black Hole”, Prog. Theor. Phys
1994
Earlier work this paper cites.
Tanaka, T., Tagoshi, H. and Sasaki, M., “Gravitational Waves by a Particle in Circular Orbit around a Schwarzschild Black Hole”, Prog. Theor. Phys
1996
Earlier work this paper cites.
T. Damour and G. Esposito-Farese, “Testing gravity to second postNewtonian order: A Field theory approach,” Phys. Rev. D 53
1996
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Jaranowski, P. and Schäfer, G., “3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems ([Erratum-ibid. D 63
1998
Earlier work this paper cites.
T. Damour, G. Esposito-Farèse: Gravitational-wave versus binary-pulsar tests of strong-field gravity, Phys. Rev. D 58
1998
Earlier work this paper cites.
Damour, T., Iyer, B.R. and Sathyaprakash, B.S., “Improved filters for gravitational waves from inspiralling compact binaries”, Phys. Rev. D
1998
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Blanchet, L., “Gravitational-wave tails of tails, [Erratum-ibid. 22
1998
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Buonanno, A. and Damour, T., “Effective one-body approach to general relativistic two-body dynamics”, Phys. Rev. D
1999
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Buonanno, A. and Damour, T., “Transition from inspiral to plunge in binary black hole coalescences”, Phys. Rev. D
2000
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Damour, T., Jaranowski, P. and Schäfer, G., “On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation”, Phys. Rev. D
2000
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S.A. Klioner, P.K. Seidelman and M.H. Soffel (editors); Relativity in Fundamental Astronomy: Dynamics, Reference Frames and Data Analysis
2010
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Damour, T., “(unpublished); cited in Ref. [ 135 ] , which quoted and used some combinations of the logarithmic contributions to a ( u ) a(u) and d ¯ ( u ) \bar{d}(u) ”, (2010)
2010
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Damour, T., Jaranowski, P. and Schäfer, G., “Dynamical invariants for general relativistic two-body systems at the third postNewtonian approximation”, Phys. Rev. D
2000
Cited alongside, same era.
Damour, T., Jaranowski, P. and Schäfer, G., “Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem, [Erratum-ibid. D 63
2000
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Blanchet, L. and Faye, G., “General relativistic dynamics of compact binaries at the third post-Newtonian order”, Phys. Rev. D
2001
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Damour, T., Jaranowski, P. and Schäfer, G., “Dimensional regularization of the gravitational interaction of point masses”, Phys. Lett. B
2001
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Damour, T., “Coalescence of two spinning black holes: An effective one-body approach”, Phys. Rev. D
2001
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Damour, T., Gourgoulhon, E. and Grandclément, P., “Circular orbits of corotating binary black holes: Comparison between analytical and numerical results”, Phys. Rev. D
2002
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Itoh, Y. and Futamase, T., “New derivation of a third post-Newtonian equation of motion for relativistic compact binaries without ambiguity”, Phys. Rev. D
2003
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