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Post-Newtonian Covariant Formulation for Gravity Determination by Differential Chronometry

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Romero Pérez, Mª Pilar (2010) Post-Newtonian Covariant Formulation for Gravity Determination by Differential Chronometry. In Gravity, Geoid and Earth Observation. International Association of Geodesy Simposia (135). Springer, Berlin, pp. 55-58. ISBN 978-3-642-10633-0

Official URL: http://link.springer.com/chapter/10.1007%2F978-3-642-10634-7_8?LI=true#


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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.


Item Type:Book Section
Additional Information:

IAG Commission 2: Gravity Field, Chania, Crete, Greece, 23-27 June 2008

Uncontrolled Keywords:Gravimetry; General relativity; Fermi coordinates
Subjects:Sciences > Physics > Astronomy
ID Code:18145
Deposited On:04 Feb 2013 09:45
Last Modified:04 Feb 2013 09:45

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