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Calculation of the Shirokov effect for circular orbits in an axisymmetric static gravitational field

  • Elementary Particle Physics and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

In the post-Newtonian approximation of the metric theory of gravitation we calculate the frequencies of Shirokov oscillations for equatorial circular geodesics in an asymptotically flat static space-time which satisfies the conditions of axial symmetry and symmetry with respect to the plane of the equator.

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Literature cited

  1. M. F. Shirokov, Gen. Relativity Gravitation,4, 131 (1973).

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  2. O. S. Ivanitskaya, Lorentz Basis and Gravitational Effects in Einstein's Theory of Gravitation [in Russian], Nauka i Tekhnika, Minsk (1979).

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  3. Yu. S. Vladimirov, Reference Frames in the Theory of Gravitation [in Russian], Énergoizdat, Moscow (1982).

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Authors and Affiliations

  1. Institute of Problems in Mechanics, Academy of Sciences of the USSR, USSR

    E. Yu. Melkumova & V. I. Khlebnikov

Authors
  1. E. Yu. Melkumova
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  2. V. I. Khlebnikov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 78–81, April, 1990.

We thank Yu. S. Vladimirova and the participants of his seminar for discussions of the results of our work.

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Melkumova, E.Y., Khlebnikov, V.I. Calculation of the Shirokov effect for circular orbits in an axisymmetric static gravitational field. Soviet Physics Journal 33, 349–352 (1990). https://doi.org/10.1007/BF00894219

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  • DOI: https://doi.org/10.1007/BF00894219

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