Accurate Analytical Calculation of Effects of Rotations of the Central Planet on a Satellite's Orbit

Details Accurate Analytical Calculation of Effects of Rotations of the Central Planet on a Satellite's Orbit Accurate Analytical Calculation of Effects of Rotations of the Central Planet on a Satellite's Orbit

Feb 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..67..131k&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 67, Issue 2, pp.131-144

Astronomy and Astrophysics

Astronomy

1

Rotation Of The Itrf, Time Dependent Gravity Coefficients, Satellite Perturbations, Satellite Perturbations.

Scientific paper

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.

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