Post-1-Newtonian equations of motion for systems of arbitrarily structured bodies

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 4, 2005, Pages

  Racine, Étienne ^a   Flanagan, E E ^a  

^a National Astronomy and Ionosphere Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELECTRIC CURRENT; ELECTROMAGNETIC FIELD; GRAVITY; MAGNETISM; MATHEMATICAL ANALYSIS; MOLECULAR INTERACTION;

EID: 84927761269     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.044010     Document Type: Article

References (69)

1. T. Damour, in 300 Years of Gravitation, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1987), pp. 128-198.
2. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 43, 3273 (1991).
3. L. Blanchet, Living Rev. Relativity 5, 3 (2002).
4. C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 1981).
5. S. Chandrasekhar, Astrophys. J. 158, 55 (1969); S. Chandrasekhar and F. P. Esposito, Astrophys. J. 160, 153 (1970).
6. S. Chandrasekhar, Astrophys. J. 158, 55 (1969); S. Chandrasekhar and F. P. Esposito, Astrophys. J. 160, 153 (1970).
7. H. A. Lorentz and J. Droste, Versl. K. Akad. Wet. Amsterdam 26, 392 (1917).
8. A. Einstein, L. Infeld, and B. Hoffmann, Ann. Math. 39, 65 (1938).
9. N. Petrova, Zh. Eksp. Teor. Fiz. 19, 989 (1949) [Sov. Phys. JETP 19, 989 (1949)]; The result was derived in 1939 [S. Kopeikin (private communication)] but was not published until 1949.
10. N. Petrova, Zh. Eksp. Teor. Fiz. 19, 989 (1949) [Sov. Phys. JETP 19, 989 (1949)]; The result was derived in 1939 [S. Kopeikin (private communication)] but was not published until 1949.
11. N. Petrova, Zh. Eksp. Teor. Fiz. 19, 989 (1949) [Sov. Phys. JETP 19, 989 (1949)]; The result was derived in 1939 [S. Kopeikin (private communication)] but was not published until 1949.
12. V. A. Fock, Zh. Eksp. Teor. Fiz. 9, 375 (1939) [Sov. Phys. JETP 9, 375 (1939)]; V. A. Fock, The Theory of Space, Time and Gravitation (Pergamon, Oxford, 1959).
13. V. A. Fock, Zh. Eksp. Teor. Fiz. 9, 375 (1939) [Sov. Phys. JETP 9, 375 (1939)]; V. A. Fock, The Theory of Space, Time and Gravitation (Pergamon, Oxford, 1959).
14. V. A. Fock, Zh. Eksp. Teor. Fiz. 9, 375 (1939) [Sov. Phys. JETP 9, 375 (1939)]; V. A. Fock, The Theory of Space, Time and Gravitation (Pergamon, Oxford, 1959).
15. A. Abramovici et al., Science 256, 325 (1992); B. Caron et al., Classical Quantum Gravity 14, 1461 (1997); H. Lück, ibid. 14, 1471 (1997); M. Ando et al., Phys. Rev. Lett. 86, 3950 (2001).
16. A. Abramovici et al., Science 256, 325 (1992); B. Caron et al., Classical Quantum Gravity 14, 1461 (1997); H. Lück, ibid. 14, 1471 (1997); M. Ando et al., Phys. Rev. Lett. 86, 3950 (2001).
17. A. Abramovici et al., Science 256, 325 (1992); B. Caron et al., Classical Quantum Gravity 14, 1461 (1997); H. Lück, ibid. 14, 1471 (1997); M. Ando et al., Phys. Rev. Lett. 86, 3950 (2001).
18. A. Abramovici et al., Science 256, 325 (1992); B. Caron et al., Classical Quantum Gravity 14, 1461 (1997); H. Lück, ibid. 14, 1471 (1997); M. Ando et al., Phys. Rev. Lett. 86, 3950 (2001).
19. C. Cutler and K. S. Thorne, in Proceedings of the 16th International Conference on General Relativity and Gravitation (GR16), Durban, South Africa, 2001, edited by N.T. Bishop and S.D. Maharaj (World Scientific, Singapore, 2002).
20. L. Blanchet, T. Damour, G. Esposito-Farese, and B. R. Iyler, Phys. Rev. Lett. 93, 091101 (2004); L. Blanchet and G. Faye, Phys. Rev. D 63, 062005 (2001); L. Blanchet, G. Faye, B. R. Iyer, and B. Joguet, ibid. 65, 061501 (2002); L. Blanchet and B. R. Iyer, Classical Quantum Gravity 20, 755 (2003); L. Blanchet, T. Damour, and G. Esposito-Farese, Phys. Rev. D 69, 124007 (2004).
21. L. Blanchet, T. Damour, G. Esposito-Farese, and B. R. Iyler, Phys. Rev. Lett. 93, 091101 (2004); L. Blanchet and G. Faye, Phys. Rev. D 63, 062005 (2001); L. Blanchet, G. Faye, B. R. Iyer, and B. Joguet, ibid. 65, 061501 (2002); L. Blanchet and B. R. Iyer, Classical Quantum Gravity 20, 755 (2003); L. Blanchet, T. Damour, and G. Esposito-Farese, Phys. Rev. D 69, 124007 (2004).
22. L. Blanchet, T. Damour, G. Esposito-Farese, and B. R. Iyler, Phys. Rev. Lett. 93, 091101 (2004); L. Blanchet and G. Faye, Phys. Rev. D 63, 062005 (2001); L. Blanchet, G. Faye, B. R. Iyer, and B. Joguet, ibid. 65, 061501 (2002); L. Blanchet and B. R. Iyer, Classical Quantum Gravity 20, 755 (2003); L. Blanchet, T. Damour, and G. Esposito-Farese, Phys. Rev. D 69, 124007 (2004).
23. L. Blanchet, T. Damour, G. Esposito-Farese, and B. R. Iyler, Phys. Rev. Lett. 93, 091101 (2004); L. Blanchet and G. Faye, Phys. Rev. D 63, 062005 (2001); L. Blanchet, G. Faye, B. R. Iyer, and B. Joguet, ibid. 65, 061501 (2002); L. Blanchet and B. R. Iyer, Classical Quantum Gravity 20, 755 (2003); L. Blanchet, T. Damour, and G. Esposito-Farese, Phys. Rev. D 69, 124007 (2004).
24. L. Blanchet, T. Damour, G. Esposito-Farese, and B. R. Iyler, Phys. Rev. Lett. 93, 091101 (2004); L. Blanchet and G. Faye, Phys. Rev. D 63, 062005 (2001); L. Blanchet, G. Faye, B. R. Iyer, and B. Joguet, ibid. 65, 061501 (2002); L. Blanchet and B. R. Iyer, Classical Quantum Gravity 20, 755 (2003); L. Blanchet, T. Damour, and G. Esposito-Farese, Phys. Rev. D 69, 124007 (2004).
25. M. E. Pati and C. M. Will, Phys. Rev. D 65, 104008 (2002).
26. H. Tagoshi, A. Ohashi, and B. J. Owen, Phys. Rev. D 63, 044006 (2001).
27. T. Damour, in Gravitational Radiation, edited by N. Deruelle and T. Piran (North-Holland, Amsterdam, 1983).
28. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 45, 1017 (1992).
29. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 47, 3124 (1993).
30. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 49, 618 (1994).
31. T. Damour and D. Vokrouhlicky, Phys. Rev. D 52, 4455 (1995).
32. M. Soffel, S. A. Klioner, G. Petit, P. Wolf, S. M. Kopeikin, P. Bretagnon, V. A. Brumberg, N. Capitaine, T. Damour, T. Fukushima, B. Guinot, T.-Y. Huang, L. Lindegren, C. Ma, K. Nordtvedt, J. C. Ries, P. K. Seidelmann, D. Vokrouhlicky, C. Will, and C. Xu, Astrophys. J. 126, 2687 (2003).
33. T. Futamase, Phys. Rev. D 32, 2566 (1985).
34. S. M. Kopeikin, Celest. Mech. 44, 87 (1988); Astron. Zh. 67, 10 (1990) [Sov. Astron. 34, 5 (1990)]; Manuscripta Geodaetica 16, 301 (1991).
35. S. M. Kopeikin, Celest. Mech. 44, 87 (1988); Astron. Zh. 67, 10 (1990) [Sov. Astron. 34, 5 (1990)]; Manuscripta Geodaetica 16, 301 (1991).
36. S. M. Kopeikin, Celest. Mech. 44, 87 (1988); Astron. Zh. 67, 10 (1990) [Sov. Astron. 34, 5 (1990)]; Manuscripta Geodaetica 16, 301 (1991).
37. S. M. Kopeikin, Celest. Mech. 44, 87 (1988); Astron. Zh. 67, 10 (1990) [Sov. Astron. 34, 5 (1990)]; Manuscripta Geodaetica 16, 301 (1991).
38. V. A. Brumberg and S. M. Kopeikin, in Reference Frames in Astronomy and Geophysics, edited by J. Kovalevsky, I. I. Mueller, and B. Kolaczek (Kluwer, Dordrecht, 1989).
39. V. A. Brumberg, Essential Relativistic Celestial Mechanics (Hilger, Bristol, 1991).
40. S. A. Klioner and A. V. Voinov, Phys. Rev. D 48, 1451 (1993).
41. S. Klioner, in Proceedings of IAU Colloquium 180, 2000, edited by K. J. Johnston, D. D McCarthy, B. J. Luzum, and G. H. Kaplan (U.S. Naval Observatory, Washington, DC, 2000), pp. 265-274.
42. S. G. Turyshev, J. G. Williams, K. Nordtvedt, Jr., M. Shao, and T. W. Murphy, Jr., Lect. Notes Phys. 648, 301 (2004).
43. E. B. Fomalont and S. M. Kopeikin, Astrophys. J. 598, 704 (2003).
44. S. G. Turyshev, M. Shao, and K. Nordtvedt, Classical Quantum Gravity 21, 2773 (2004).
45. J. A. Faber, P. Grandclement, F. A. Rasio, and K. Taniguchi, Phys. Rev. Lett. 89, 231102 (2002).
46. E. E. Flanagan and E. Racine, "Gravitomagnetic Resonant Excitation of Rossby Modes in Coalescing Neutron Star Binaries" (in preparation).
47. S. Kopeikin and I. Vlasov, gr-qc/0403068.
48. Y. Itoh, T. Futamase, and H. Asada, Phys. Rev. D 62, 064002 (2000).
49. K. S. Thorne and J. B. Hartle, Phys. Rev. D 31, 1815 (1985).
50. T. Damour, Phys. Rev. Lett. 51, 1019 (1983).
51. Y. Itoh, T. Futamase, and H. Asada, Phys. Rev. D 63, 064038 (2001); Y. Itoh and T. Futamase, Phys. Rev. D 68, 121501 (2003).
52. Y. Itoh, T. Futamase, and H. Asada, Phys. Rev. D 63, 064038 (2001); Y. Itoh and T. Futamase, Phys. Rev. D 68, 121501 (2003).
53. E. Racine, gr-qc/0405058.
54. K. S. Thorne, Rev. Mod. Phys. 52, 299 (1980).
55. K. S. Thorne and Y. Gürsel, Mon. Not. R. Astron. Soc. 205, 809 (1983).
56. C. Xu, J. Tao, and X. Wu, Phys. Rev. D 69, 024003 (2004).
57. P. D. D'Eath, Black Holes: Gravitational Interactions (Oxford University Press, Oxford, 1996).
58. T. Damour, in Gravitational Radiation, edited by N. Deruelle and T. Piran (North-Holland, Amsterdam, 1983).
59. K. S. Thorne, Phys. Rev. D 58, 124031 (1998).
60. É. É. Flanagan, Phys. Rev. D 58, 124030 (1998).
61. K. S. Thorne, in Gravitational Radiation (Ref. [42]), p. 25.
62. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Company, San Francisco, 1973).
63. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (John Wiley & Sons, New York, 1972).
64. L. Blanchet and T. Damour, Ann. Inst. Henri Poincare Phys. Theor. 50, 377 (1989).
65. R. Geroch, J. Math. Phys. (N.Y.) 11, 2580 (1970); R. O. Hansen, J. Math. Phys. (N.Y.) 15, 46 (1974), W. Simon and R. Beig, J. Math. Phys. (N.Y.) 24, 1163 (1983); see also Ref. [38]
66. R. Geroch, J. Math. Phys. (N.Y.) 11, 2580 (1970); R. O. Hansen, J. Math. Phys. (N.Y.) 15, 46 (1974), W. Simon and R. Beig, J. Math. Phys. (N.Y.) 24, 1163 (1983); see also Ref. [38]
67. R. Geroch, J. Math. Phys. (N.Y.) 11, 2580 (1970); R. O. Hansen, J. Math. Phys. (N.Y.) 15, 46 (1974), W. Simon and R. Beig, J. Math. Phys. (N.Y.) 24, 1163 (1983); see also Ref. [38]
68. W. Suen, Phys. Rev. D 34, 3617 (1986).
69. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Vol. 2, Section 96 (Butterworth Heinemann, Washington, DC, 1975).