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General Relativistic Gravity Gradiometry

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Relativistic Geodesy

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 196))

Abstract

Gravity gradiometry within the framework of the general theory of relativity involves the measurement of the elements of the relativistic tidal matrix, which is theoretically obtained via the projection of the spacetime curvature tensor upon the nonrotating orthonormal tetrad frame of a geodesic observer. The behavior of the measured components of the curvature tensor under Lorentz boosts is briefly described in connection with the existence of certain special tidal directions. Relativistic gravity gradiometry in the exterior gravitational field of a rotating mass is discussed and a gravitomagnetic beat effect along an inclined spherical geodesic orbit is elucidated.

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of Missouri, Columbia, MO, 65211, USA

    Bahram Mashhoon

  2. School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran

    Bahram Mashhoon

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  1. Bahram Mashhoon
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Correspondence to Bahram Mashhoon .

Editor information

Editors and Affiliations

  1. ZARM, University of Bremen, Bremen, Germany

    Dirk Puetzfeld

  2. ZARM, University of Bremen, Bremen, Germany

    Claus Lämmerzahl

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Mashhoon, B. (2019). General Relativistic Gravity Gradiometry. In: Puetzfeld, D., Lämmerzahl, C. (eds) Relativistic Geodesy. Fundamental Theories of Physics, vol 196. Springer, Cham. https://doi.org/10.1007/978-3-030-11500-5_5

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