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Spacetime coordinates in the geocentric reference frame

Published online by Cambridge University Press:  04 August 2017

M. Fujimoto  and
E. Grafarend
M. Fujimoto
Affiliation:
Department of Geodetic Science, Stuttgart University, Keplerstr. 11, D-7000 Stuttgart 1, Federal Republic of Germany
E. Grafarend
Affiliation:
Department of Geodetic Science, Stuttgart University, Keplerstr. 11, D-7000 Stuttgart 1, Federal Republic of Germany

Abstract

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A geocentric relativistic reference frame is established which is close to the conventional non-relativistic equatorial frame of reference. Within post-Newtonian approximation the worldline of the geocentre is used to connect points by spacelike geodesics on the equal proper time hypersurface and to establish a properly chosen tetrad reference frame. Points on the earth surface and near the earth-space are coordinated making use of the Frobenius matrix of integrating factors which connects the geocentric orthonormal tetrad with the tangent spacetime of relativistic pseudo-Riemann geometry. The gravity field of the earth and its relative velocity with respect to the solar system barycentre cause coordinate effects of the order of 10 cm for topocentric point positioning.

Type
Relativistic Effects Near the Earth
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 269 - 276
Copyright
Copyright © Reidel 1986 

References

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