Accurate Analytical Calculation of Effects of Rorations of the Central Planet on a Staellite's Orbit |
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| Authors: | Sergey M Kudryavtsev |
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| Institution: | (1) Department of Celestial Mechanics, Strenberg Astronomical Institute of Moscow State University, 13, University Pr., Moscow, 119899, Russia |
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| Abstract: | Satellite orbital perturbations due to many rotations of the planet-fixed reference frame are calculated by a general analytical
method. For the International Terrestrial Reference Frame (ITRF) the effects of the Earth irregular rotation, precession,
nutation, and polar motion are considered. Gravity coefficients of the Earth potential expansion are expressed in an inertial
Celestial Reference Frame (CRF) as functions of the set of standard constant coefficients derived in the ITRF and of the rotation
angles between the CRF and ITRF. The analytical motion theory uses time dependent gravity coefficients, and the Lagrange motion
equations are integrated in the CRF, as it is done by numerical methods. Comparison of the proposed analytical method with
a numerical one is presented. Motion of the ETALON-1 geodetic satellite perturbed by the geopotential (36*36) and by the full
effects of the Earth irregular rotation, precession, nutation and polar motion is predicted. The r.m.s. difference between
the satellite's coordinates calculated by both methods over a year interval is 2 cm.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | rotation of the ITRF time dependent gravity coefficients satellite perturbations |
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