Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T16:05:55.280Z Has data issue: false hasContentIssue false
  • English
  • Français

Present problems in relativistic Celestial Mechanics

Published online by Cambridge University Press:  04 August 2017

V. A. Brumberg
V. A. Brumberg*
Affiliation:
Institute for Theoretical Astronomy, 191187 Leningrad, U.S.S.R.

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Review of the present problems of relativistic celestial mechanics. Advantage is taken of the method suggested earlier by the author and based on using quasi-Galilean coordinates with arbitrary coordinate functions or parameters. As compared with the previous papers the new elements are post-post-Newtonian approximation for the circular motion in the Schwarzschild problem and reduction of the artificial satellite problem including the main solar perturbations to the Schwarzschild problem. Some current questions of time scales definitions, reference frames and reduction of observations are briefly discussed.

Type
Dynamical Effects in General Relativity
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 5 - 17
Copyright
Copyright © Reidel 1986 

References

Ashby, N. and Allan, D.W. 1979. Radio Science 14, 649.CrossRefGoogle Scholar
Ashby, N. and Bertotti, B. 1984. Phys. Rev. Letts. 52, 485.Google Scholar
Barker, B.M. and O'Connell, R.F. 1976. Phys. Rev. D 14, 861.CrossRefGoogle Scholar
Boyer, R.H. and Lindquist, R.W. 1967. J. Math. Phys. 8, 265.Google Scholar
Brumberg, V.A. 1972. Relativistic Celestial Mechanics. Moscow (in Russian).Google Scholar
Brumberg, V.A. 1981. Astron. J. (USSR) 58, 181.Google Scholar
Brumberg, V.A. 1986. IAU Symp. No. 109 (in press).CrossRefGoogle Scholar
Brumberg, V.A. and Ivanova, T.V. 1982. In: Sun and Planetary System (eds. Fricke, W. and Teleki, G.), p. 423, Reidel Co. Google Scholar
Brumberg, V.A. and Ivanova, T.V. 1985. Trans. ITA 19, 3 (in Russian).Google Scholar
Brumberg, V.A. and Tarasevich, S.V. 1983. In: Conference on Systems and Techniques of Analytical Computing and Their Applications in Theoretical Physics, p. 149, Dubna (in Russian).Google Scholar
Carter, B. 1966. Phys. Rev. 141, 1242.Google Scholar
Damour, T. 1983. Phys. Rev. Letts. 51, 1019.Google Scholar
D'Eath, P.D. 1975. Phys. Rev. D 12, 2183.Google Scholar
Fukushima, T., Fujimoto, M.K., Kinoshita, H. and Aoki, S. 1986. Celes. Mech. (in press).Google Scholar
Grishchuk, L.P. and Kopejkin, S.M. 1983. Astron. J. Letts. (USSR) 9, 436.Google Scholar
Ivanitskaja, O.S. 1979. Lorentzian Basis and Gravitational Effects in the Einsteinian Theory of Gravitation. Minsk (in Russian).Google Scholar
Japanese Ephemeris, 1985. Tokyo, 1984.Google Scholar
Kopejkin, S.M. 1985. Astron. J. (USSR) (in press).Google Scholar
Lestrade, J.-F. and Bretagnon, P. 1982. Astron. Astrophys. 105, 42.Google Scholar
Lestrade, J.-F. and Chapront-Touzé, M. 1982. Astron. Astrophys. 116, 75.Google Scholar
Mashhoon, B. 1984. Gen. Relativity and Gravitation 16, 311.Google Scholar
Misner, C.W., Thorne, K.S. and Wheeler, J.A. 1970. Gravitation. Freeman Co. Google Scholar
Moyer, T.D. 1981. Celes. Mech. 23, 33, 57.CrossRefGoogle Scholar
Murray, C.A. 1983. Vectorial Astrometry. Adam Hilger Ltd. Google Scholar
Ni, W.-T. and Zimmermann, M. 1978. Phys. Rev. D 17, 1473.Google Scholar
Pavlov, N.V. 1984. Astron. J. (USSR) 61, 385, 600.Google Scholar
Peters, P.C. 1966. Phys. Rev. 146, 938.Google Scholar
Vladimirov, Yu.S. 1982. Systems of Reference in Gravitation Theory. Moscow (in Russian).Google Scholar
Will, C.M. 1981. Theory and Experiment in Gravitational Physics. Cambridge Univ. Press.Google Scholar
Young, J.H. and Coulter, C.A. 1969. Phys. Rev. 184, 1313.Google Scholar