Statistics – Computation
Scientific paper
Oct 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66.1069k&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, Sept.-Oct. 1989, p. 1069-1080. In Russian.
Statistics
Computation
5
Computational Astrophysics, Relativistic Theory, Solar System, Astronomical Coordinates, Center Of Mass, Equations Of Motion, Gravitational Fields
Scientific paper
A relativistic theory of astronomical reference frames is constructed which makes it possible to represent the equations of motion of the observer and of the body investigated as well as the formulas of the reduction of observations in a form suitable for practical applications. Each coordinate system (barycentric, planetocentric, and topocentric) and each gravitational field are characterized by a specific form of the metric tensor, obtained from the Einstein equations by post-Newtonian approximations for specific boundary conditions. Among other findings, it is shown that the center of mass of an oblate and rotating planet does not move along a geodesic worldline in curved space-time. Some other relativistic manifestations of the gravitatiobnal field of the solar system are also considered.
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