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. © Springer-Verlag Berlin Heidelberg 2010.
CITATION STYLE
Romero, P. (2010). Post-Newtonian Covariant Formulation for Gravity Determination by Differential Chronometry. In International Association of Geodesy Symposia (Vol. 135, pp. 55–58). https://doi.org/10.1007/978-3-642-10634-7_8
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