Perturbations of satellite orbits due to gamma/x to the 3d power + y to the 3d power/

Details Perturbations of satellite orbits due to gamma/x to the 3d power + y to the 3d power/ Perturbations of satellite orbits due to gamma/x to the 3d power + y to the 3d power/

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ijrsp...4..187k&link_type=abstract

Indian Journal of Radio and Space Physics, vol. 4, Sept. 1975, p. 187-189. Research supported by the Council of Scientific and

Physics

Space Physics

Hamilton-Jacobi Equation, Kepler Laws, Orbit Perturbation, Satellite Orbits, Differential Equations, Gravitational Fields, Perturbation Theory

Scientific paper

Perturbations of a satellite orbit, caused by gravitational forces, are due to distortions of the (ideal) central force field. The distortions are caused not only by the presence of other celestial bodies but also by the asymmetric shape (oblateness) and the inhomogeneous composition of the central body. In view of this, the effects of a perturbing term that describes a distortion of the central force field on a Keppler orbit is calculated on the basis of Hamilton-Jacobi theory. It is shown that the distortion caused by the term under consideration is analogous to the perturbation caused by the oblateness of the earth.

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