Analytical solution of perturbed circular motion: application to satellite geodesy |
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| Authors: | P Exertier P Bonnefond |
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| Institution: | Observatoire de la C?te d'Azur, Dept. C.e.r.g.a., Avenue Copernic, F-06130 Grasse, France, FR
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| Abstract: | Starting from the analytical theory of perturbed␣circular motions presented in Celestial Mechanics (Bois 1994) and from specific
extended formulations of the perturbations in a uniformly rotating plane of constant inclination, this paper presents an extended
formulation of the solution. The actual gain made through this extension is the establishment of a first-order predictive
theory written in spherical coordinates and thus free of singularities, whose perturbations are directly expressed in the
local orbital frame generally used in satellite geodesy. This new formulation improves the generality, the precision and the
field of applications of the theory. It is particularly devoted to the analysis of satellite position perturbations for satellites
in low eccentricity orbits usually used for many Earth observation applications. An application to the TOPEX/Poseidon (T/P)
orbit is performed. In particular, contour maps are provided which show the geographical location of orbit differences coming
from geopotential coefficient differences of two recent gravity field models. Comparison of predicted radial and along-track
orbit differences with respect to numerical results provided by the French group (CNES, in Toulouse) in charge of the T/P
orbit are convincing.
Received 22 January 1996; Accepted 19 September 1996 |
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| Keywords: | , ,satellite theory,circular motion,spherical coordinates,geopotential |
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