Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-30T03:30:07.903Z Has data issue: false hasContentIssue false
  • English
  • Français

Local frames

Published online by Cambridge University Press:  04 August 2017

B. Bertotti
B. Bertotti*
Affiliation:
Dipartimento di Fisica Nucleare e Teorica, Universita' di Pavia, Via Bassi, 6 - 27100 Pavia, Italy

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.

Following some work by N. Ashby and myself, it is shown how the Fermi construction of local inertial frames can be generalized, in the slow motion approximation, to the neighbourhood of the earth. This allows a clear and simple description of the relativistic effects for the motion of an earth satellite. A proposal by I. Ciufolini to measure the relativistic precession is reviewed.

Type
Relativistic Effects Near the Earth
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 233 - 240
Copyright
Copyright © Reidel 1986 

References

Anderson, J. T., Cabrera, B., Everitt, C. W. F., Leslie, B.C. and Lipa, J. A., 1982, “Progress on the relativity gyroscope experiment since 1976,” in Proc. II M. Grossmann Meeting on General Relativity, Ruffini, R., editor, North Holland, p. 939.Google Scholar
Ashby, N. and Bertotti, B., 1984, “Relativistic pertubations of an earth satellite,” Phys. Rev. Lett. 52, 485–488.Google Scholar
Ashby, N. and Bertotti, B., 1985, “Relativistic effects in local frames”. Submitted for publication.Google Scholar
Bertotti, B., 1954, “On the two-body problem in general relativity”, Nuovo Cim. 12, 226–232.Google Scholar
Bertotti, B., Farinella, P., Milani, A., Nobili, A.M. and Sacerdote, F., 1984, “Linking reference systems from space”, Astron. Astrophys., 133, 231–238.Google Scholar
Ciufolini, I., 1985, “Measurement of the Lense-Thirring effect on “LAGEOS” and another high altitude laser ranged artificial satellite”. Submitted for publication.Google Scholar
Eddington, A. and Clark, G.L., 1938, “The problem of n bodies in general relativity theory,” Proc. Roy. Soc. London A 166, 465–475.Google Scholar
Fermi, E., 1922, “Sopra i fenomeni che avvengono in vicinanza di una linea oraria”, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. e Nat. 31, 184–187, 306–309.Google Scholar
Misner, C.W., Thorne, K.S., and Wheeler, J.A., 1973, “Gravitation”, Freeman and Co., San Francisco.Google Scholar
Moyer, T.D., 1971, “Mathematical formulation of the double-precision orbit determination program (DPODP)”, JPL Technical Report 32–1527.Google Scholar
Van Patten, R.A. and Everitt, C.W.F., 1976, “Possible experiment with two counter-orbiting drag-free satellites to obtain a new test of Einstein's general theory of relativity and improved measurements in geodesy”, Phys. Rev. Lett., 36, 629–632.Google Scholar
Yoder, C.F., Williams, J.G., Dickey, J.O., Schutz, B.E., Eanes, R.J. and Tapley, B.D., 1983, “Secular variation of Earth's gravitational harmonic J2 coefficient from Lageos and nontidal acceleration of Earth rotation”, Nature, 303, 797–762.Google Scholar