Integration of equations of motion for material point in gravitational field of axially symmetric planet

Details Integration of equations of motion for material point in gravitational field of axially symmetric planet Integration of equations of motion for material point in gravitational field of axially symmetric planet

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rpspr....r..39g&link_type=abstract

In its USSR Rept.: Space (JPRS-USP-85-005) p 39 (SEE N86-14111 04-88) Transl. into ENGLISH from Kosmich. Issled. (Moscow), v.

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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