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On the orbital motion description with a proper reference frame in a complete Schwarzschild field

Published online by Cambridge University Press:  25 May 2016

J.M. Gambi ,
P. Zamorano ,
P. Romero  and
M.L. Garcia Del Pino
J.M. Gambi
Affiliation:
Departamento de Matemáticas. Escuela Politécnica Superior. Universidad Carlos III. Madrid
P. Zamorano
Affiliation:
Departamento de Matemáticas. Escuela Politécnica Superior. Universidad Carlos III. Madrid
P. Romero
Affiliation:
Sección Departamental de Astronomía y Geodesia. Facultad de Ciencias Matemáticas. Universidad Complutense. Madrid
M.L. Garcia Del Pino
Affiliation:
Sección Departamental de Astronomía y Geodesia. Facultad de Ciencias Matemáticas. Universidad Complutense. Madrid

Extract

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It is a fact that, none of the diverse coordinate systems unified in the Post-Newtonian formalism used to describe the exterior Schwarzschild field can be regarded as being materialized by a reference frame. Only the polar Gaussian coordinates (ρ, ϑ, ϕ, t), or their naturally associated Fermi coordinates, can be shown to have this property (Synge, 1960).

Type
Part VIII - General Relativity. Physics
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 325 - 326
Copyright
Copyright © Kluwer 1996 

References

Synge, J.L., Relativity: The General Theory. North Holland. N.Y., 1960.Google Scholar
Brumberg, V.A., Essential Relativistic Celestial Mechanics. Adam Hilger, N.Y., 1991.Google Scholar