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Post-Newtonian Covariant Formulation for Gravity Determination by Differential Chronometry

  • P. RomeroEmail author
Conference paper
  • 2k Downloads
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 135)

Abstract

Following Synge’s idea, a Post-Newtonian Covariant Formulation to estimate orders of magnitude in the design of experiments for the measurement by differential chronometry of the curvature of an observer world-line (g) and the curvature of space-time (Rijkm) is discussed.

The local geometric model considered corresponds to local Fermi coordinates associated to an observer O and Fermi transported tetrads, and by using Synge’s world-function the measurement formulation for the relative distance in terms of the O-proper time s1, corresponding to the instant at which an electromagnetic signal is emitted from O, and the O-proper time s2 at which the signal is received by O after a trip-time to complete a circuit is presented.

Keywords

Gravimetry General relativity Fermi coordinates 

Notes

Acknowledgements

This research has been funded under projects CCG07-UCM/ESP-2411 and CGL 2007-65110.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Instituto de Astronomía y Geodesia (UCM-CSIC), Facultad de Matemáticas, Universidad ComplutenseMadridSpain

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