Torus construction in general gravitational potentials

Details Torus construction in general gravitational potentials Torus construction in general gravitational potentials

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.244..634m&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 244, June 15, 1990, p. 634-645.

Astronomy and Astrophysics

Astronomy

27

Celestial Mechanics, Eccentric Orbits, Gravitational Fields, Angles (Geometry), Astronomical Coordinates, Hamiltonian Functions, Kepler Laws, Least Squares Method, Toruses

Scientific paper

A numerical method is presented for constructing action-angle tori for a general gravitational system. The method employs a generating function to map between the action-angle coordinates for a known potential and the action-angle coordinates of the system under investigation. This has significant advantages over previous solutions to this problem. In particular, the algorithm invariably coverges smoothly. The method is demonstrated by constructing the tori of eccentric orbits in spherical and axisymmetric potentials.

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