Relativistic geocentric satellite equations of motion in closed form

Details Relativistic geocentric satellite equations of motion in closed form Relativistic geocentric satellite equations of motion in closed form

Apr 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...257..777b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 257, no. 2, p. 777-782.

Astronomy and Astrophysics

Astrophysics

3

Celestial Mechanics, Equations Of Motion, Geocentric Coordinates, Relativity, Coordinate Transformations, Inertial Reference Systems

Scientific paper

In extending the results of Brumberg & Kopejkin (1989) the relativistic (post-Newtonian) geocentric satellite equations of motion are given in closed form avoiding expansion in geocentric coordinates of a satellite. These equations may be applied for the description of motion of a distant Earth's satellite in DGRS or KGRS (dynamically or kinematically non-rotating geocentric reference system, respectively). As by-product of the transformation between BRS and GRS (barycentric and geocentric reference system, respectively) one obtains the relationship between BRS and GRS angular velocity of rotation of the Earth.

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