Mathematics
Scientific paper
Jul 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rpee........39k&link_type=abstract
In its USSR Rept.: Eng. and Equipment (JPRS-UED-84-005) p 39 (SEE N85-24157 14-31) Transl. into ENGLISH from Dokl. Akad. Nauk T
Mathematics
Earth (Planet), Equations Of Motion, Orbital Mechanics, Planetary Rotation, Satellite Orbits, Canonical Forms, Lie Groups, Perturbation, Transformations (Mathematics), Translational Motion
Scientific paper
The problem of motion of a satellite with complete dynamic symmetry around a rotating aspherical planet was solved, using the method of Lie transformations. Using the expansion of the generating function of transformations and considering trigonometric identities for the Andoyer canonical elements, a shorter and more convenient form of expansion was found that is used to derive expressions for perturbations of selected canonical elements that determine the translational motion of a satellite and rotational motion of the Earth with accuracy of 10 to the 8th power. It is shown that the Delaunay elements characterizing translational motion of a satellite around the Earth undergo considerable perturbations due to the figure of the Earth.
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