Canonical action-angle variables in the Barrar problem

Details Canonical action-angle variables in the Barrar problem Canonical action-angle variables in the Barrar problem

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985kosis..23..477k&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 23, May-June 1985, p. 477-479. In Russian.

Mathematics

Canonical Forms, Gravitational Fields, Planetary Orbits, Satellite Perturbation, Axisymmetric Bodies, Hamiltonian Functions, Hessian Matrices, Kolmogoroff Theory, Points (Mathematics)

Scientific paper

The motion of a satellite in the gravitational field of an axisymmetric planet is considered. Point motion in a Barrar force field in the presence of perturbations is examined on the basis of equations of perturbed motion in canonical action-angle variables. The Kolmogoroff theorem is used to study point motion in the presence of conservative perturbations; the hessian of the unperturbed Hamiltonian function corresponding to the Barrar problem is examined.

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