Spectral stellar dynamics. II - The action integrals

Details Spectral stellar dynamics. II - The action integrals Spectral stellar dynamics. II - The action integrals

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.206..159b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 206, Jan. 1, 1984, p. 159-177.

Statistics

Applications

77

Celestial Mechanics, Galactic Rotation, Numerical Integration, Phase-Space Integral, Stellar Motions, Adiabatic Equations, Eccentric Orbits, Gravitational Fields, Many Body Problem, Spectrum Analysis

Scientific paper

A method is developed for the evaluation of the actions of numerically integrated orbits, in given potentials, from the spectra of these orbits. In an inertial potential, the actions of loop and box orbits fit together to form a single continuum. Families of resonant loop and box orbits are associated with zones of missing actions in this continuum, while the action integrals of loop and box orbits in a rotating bar do not fit together as in the inertial case. When an orbit switches family, its actions usually change discontinuously no matter how slowly the potential is deformed. These changes are, however, reversible in the case where the potential is deformed sufficiently slowly. Possible applications of this technique to n-body models are discussed.

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