Integration of the equations of motion of a material point in the gravitational field of an axisymmetric planet

Details Integration of the equations of motion of a material point in the gravitational field of an axisymmetric planet Integration of the equations of motion of a material point in the gravitational field of an axisymmetric planet

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..651g&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, Sept.-Oct. 1984, p. 651-662. In Russian.

Other

Axisymmetric Bodies, Celestial Mechanics, Orbit Calculation, Planetary Gravitation, Planetary Orbits, Satellite Perturbation, Approximation, Hamilton-Jacobi Equation, Oblate Spheroids, Quadratures, Spherical Coordinates

Scientific paper

The paper formulates a general method of searching for an anharmonic approximation expression for the gravitational potential of an axisymmetric planet, allowing integration of the equations of motion of its satellite in quadratures. Though the analysis is performed for oblate spheroidal coordinates, the possibility of using the proposed method for other systems of curved coordinates is demonstrated.

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