Construction of an approximate solution of the equations of perturbed motion of a satellite of a spheroidal planet

Details Construction of an approximate solution of the equations of perturbed motion of a satellite of a spheroidal planet Construction of an approximate solution of the equations of perturbed motion of a satellite of a spheroidal planet

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983sva....27..444m&link_type=abstract

(Astronomicheskii Zhurnal, vol. 60, July-Aug. 1983, p. 767-770) Soviet Astronomy (ISSN 0038-5301), vol. 27, July-Aug. 1983, p. 4

Astronomy and Astrophysics

Astronomy

Astrodynamics, Euler Equations Of Motion, Planetary Orbits, Satellite Perturbation, Approximation, Canonical Forms, Hamiltonian Functions, Natural Satellites, Orbital Elements, Spheroids, Von Zeipel Method

Scientific paper

The case of the perturbed motion of a satellite of a spheroidal planet under the action of nonautonomous potential perturbations is analyzed. A fictitious additional degree of freedom and the pair of conjugate canonical variables corresponding to it are introduced. Then the resulting expanded system of Hamilton's equations for the Eulerian orbital elements is solved by the Delaunay-Zeipel method of canonical transformations.

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