General relativistic celestial mechanics of binary systems. I. The post-newtonian motion
Annales de l'I.H.P. Physique théorique, Tome 43 (1985) no. 1, pp. 107-132.
partie suivante General relativistic celestial mechanics of binary systems. II. The post-newtonian timing formula 
@article{AIHPA_1985__43_1_107_0,
     author = {Damour, T. and Deruelle, N.},
     title = {General relativistic celestial mechanics of binary systems. {I.} {The} post-newtonian motion},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {107--132},
     publisher = {Gauthier-Villars},
     volume = {43},
     number = {1},
     year = {1985},
     mrnumber = {813140},
     zbl = {0585.70010},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1985__43_1_107_0/}
}
TY  - JOUR
AU  - Damour, T.
AU  - Deruelle, N.
TI  - General relativistic celestial mechanics of binary systems. I. The post-newtonian motion
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1985
SP  - 107
EP  - 132
VL  - 43
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1985__43_1_107_0/
LA  - en
ID  - AIHPA_1985__43_1_107_0
ER  - 
%0 Journal Article
%A Damour, T.
%A Deruelle, N.
%T General relativistic celestial mechanics of binary systems. I. The post-newtonian motion
%J Annales de l'I.H.P. Physique théorique
%D 1985
%P 107-132
%V 43
%N 1
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1985__43_1_107_0/
%G en
%F AIHPA_1985__43_1_107_0
Damour, T.; Deruelle, N. General relativistic celestial mechanics of binary systems. I. The post-newtonian motion. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) no. 1, pp. 107-132. http://www.numdam.org/item/AIHPA_1985__43_1_107_0/

[1] B.M. Barker and R.F. O'Connell, Phys. Rev. D., t. 12, 1975, p. 329.

[2] B.M. Barker and R.F. O'Connell, Phys. Rev. D., t. 29, 1984, p. 2721.

[3] L. Bel, T. Damour, N. Deruelle, J. Ibañez, J. Martin, Gen. Rel. Grav., t. 13, 1981, p. 963. | MR

[4] R. Blandford, S. Teukolsky, Astrophys. J., t. 205, 1976, p. 580.

[5] R.A. Breuer, E. Rudolph, Gen. Rel. Grav., t. 14, 1982, p. 181. | MR | Zbl

[6] V. Brumberg, Relativistic celestial mechanics, Nauka, Moscow (in Russian), 1972. | MR

[7] A. Caporali, Nuov. Cim., t. 61B, 1981, p. 181, 205 and 213.

[8] T. Damour, in Gravitational radiation, N. Deruelle and T. Piran eds, North-Holland, Amsterdam, 1983, p. 59.

[9] T. Damour, Phys. Rev. Lett., t. 51, 1983, p. 1019.

[10] T. Damour, in Proceedings of Journées Relativistes 1983, S. Benenti et al. eds, Pitagora Editrice, Bologna, 1985, p. 89.

[11] T. Damour, N. Deruelle, Phys. Lett., t. 87A, 1981 a, p. 81.

[12] T. Damour, N. Deruelle, C. R. Acad. Sc. Paris, t. 293, série II, 1981 b, p. 877. | MR

[13] T. Damour, N. Deruelle, (to be submitted for publication), 1985.

[14] T. Damour, G. Schäfer, Gen. Rel. Grav., in print, 1985.

[15] P.D. D'Eath, Phys. Rev., t. D12, 1975, p. 2183.

[16] W.G. Dixon, in Isolated gravitating systems in general relativity, J. Ehlers ed., North-Holland, Amsterdam, 1979, p. 156. | MR

[17] D.M. Eardley, Astrophys. J., t. 196, 1975, p. L 59.

[18] J. Ehlers, Ann. N. Y. Acad. Sci., t. 336, 1980, p. 279.

[19] R. Epstein, Astrophys. J., t. 216, 1977, p. 92, see also the errata in t. 231, p. 644.

[20] P. Esnault, D. Holleaux, Contribution à l'étude du mouvement d'un système double relativiste (unpublished), 1982.

[21] Y. Hagihara, Celestial Mechanics, the MIT Press, 1970. | MR | Zbl

[22] L. Infeld, J. Plebanski, Motion and Relativity, Pergamon, Oxford, 1960. | MR | Zbl

[23] R.E. Kates, Phys. Rev., t. 22, 1980, p. 1871. | MR

[24] L.D. Landau, E.M. Lifshitz, Mécanique, Mir, Moscou, 1969.

[25] L.D. Landau, E.M. Lifshitz, The classical theory of fields, Addison-Wesley, Reading, Mass, 1971. | Zbl

[26] H.A. Lorentz, J. Droste, Versl. K. Akad. Wet. Amsterdam, t. 26, 1917, p. 392 and 649, reprinted in the Collected Papers of H. A. Lorentz, t. 5, 1937, p. 330. The Hague, Nijhoff.

[27] M. Portilla, R. Lapiedra, in Actas de los E. R. E. 1983, L. Mas. ed., I. C. E.-Departament de Fisica Teorica, Palma de Mallorca, 1984, p. 267.

[28] H.P. Robertson, Ann. Math., t. 39, 1938, p. 101. | JFM | Zbl

[29] G. Schäfer, Phys. Lett., t. 100A, 1984, p. 128.

[30] N. Spyrou, Gen. Rel. Grav., t. 9, 1978, p. 519. | Zbl

[31] N. Spyrou, Gen. Rel. Grav., t. 13, 1981, p. 473 (see also t. 15, 1983, p. 363). | Zbl

[32] J.H. Taylor, J.M. Weisberg, Astrophys. J., t. 253, 1982, p. 908.

[33] R.V. Wagoner, C.M. Will, Astrophys. J., t. 210, 1976, p. 764.

[34] C.M. Will, Theory and experiment in gravitational physics, Cambridge University Press, Cambridge, 1981. | MR

[35] C.M. Will, D.M. Eardley, Astrophys. J., t. 212, 1977, p. L 91.