Hostname: page-component-5c6d5d7d68-7tdvq Total loading time: 0 Render date: 2024-08-06T18:48:51.026Z Has data issue: false hasContentIssue false
  • English
  • Français

Relativistic Reduction of Astronomical Measurements and Reference Frames

Published online by Cambridge University Press:  12 April 2016

V. A. Brumberg
V. A. Brumberg*
Affiliation:
Institute of 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.

With the accuracy of modern observations the relativistic treatment of the basic astronomical reference frames only requires the consideration of comparatively simple types of metrics such as heliocentric Schwarzschild metric, geocentric Schwarzschild metric and metric of the Earth-Sun system. Dynamical (related to the motion of the bodies) and kinematical (related to the light propagation) characteristics of these metrics enable one to perform the accurate relativistic reduction of astronomical measurements. In this reduction, the choice of specific quasi-Galilean coordinates may remain arbitrary. This paper presents expressions for the main relativistic terms in coordinates of the principal planets and Moon using the PPN formalism parameters β, γ and coordinate parameter α. General formulae for the reduction of radar, radio-interferometric and astrometric observations of planets and for the interpretation of lunar laser ranging are given. For estimating the actual magnitude of relativistic effects, the ephemeris data should be expressed in terms of physically measurable quantities.

Type
Research Article
Information
International Astronomical Union Colloquium , Volume 56: Reference Coordinate Systems for Earth Dynamics , August 1980 , pp. 283 - 294
Copyright
Copyright © Reidel 1981

References

Baierlein, R., 1967. Phys. Rev. 162, 1275.Google Scholar
Brumberg, V. A., 1972. Relativistic Celestial Mechanics. Nauka, Moscow (in Russian).Google Scholar
Brumberg, V. A., 1979. Celes. Mech. 20, 329.Google Scholar
Brumberg, V. A. and Finkelstein, A. M., 1979. J. Exper. Theor. Phys. (U.S.S.R.) 76, 1474 (Sov. Phys. JETP 49, 749, 1979).Google Scholar
Brumberg, V. A., 1981. Astron. J. (U.S.S.R.) 58, 1.Google Scholar
Finkelstein, A. M. and Kreinovich, V. Ja., 1976. Celes. Mech. 13, 151.Google Scholar
Kovalevsky, J., 1975. In: On Reference Coordinate Systems for Earth Dynamics (eds. Kolaczek, B. and Weiffenbach, G.), p. 123, Poland.Google Scholar
Mulholland, J. D., 1972. Publ. Astron. Soc. Pacific 84, 357.Google Scholar
Synge, J. L., 1960. Relativity: The General Theory. North-Holland Publ. Com. Google Scholar
Will, C. M. and Nordtvedt, K., 1972. Astrophys. J. 177, 757.Google Scholar
Will, C. M., 1974. In: Experimental Gravitation (ed. Bertotti, B.), p. 1, Academic Press.Google Scholar