Self-consistent models of resonant stellar systems: Phase solutions for spheroids

Details Self-consistent models of resonant stellar systems: Phase solutions for spheroids Self-consistent models of resonant stellar systems: Phase solutions for spheroids

Nov 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997arep...41..753k&link_type=abstract

Astronomy Reports, Volume 41, Issue 6, November 1997, pp.753-759

Astronomy and Astrophysics

Astronomy

Scientific paper

A new class of analytic models has been discovered for stellar systems with nonellipsoidal phase functions that depend on four integrals of motion of the star. The specific properties of the models are deter- mined by an additional resonance integral, which has even and odd parts relative to a certain group of variables. Each part of this integral represents a separate integral of motion. A phase model of a `stellar' spheroid with an odd integral corresponding to the 1 : 2 resonance frequency is constructed as an example. This model has centroid flows in a family of embedded tori with complicated geometrical cross sections. Analogs of such flows have been seen earlier in numerical modelling. All six independent components of the velocity dispersion tensor are also found for this model.

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