Figures of the equilibrium of stellar systems with a needle-shape ellipsoid of velocities - Formulation of the general problem

Details Figures of the equilibrium of stellar systems with a needle-shape ellipsoid of velocities - Formulation of the general problem Figures of the equilibrium of stellar systems with a needle-shape ellipsoid of velocities - Formulation of the general problem

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992azh....69..201k&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 69, no. 1, Jan.-Feb. 1992, p. 201-210. In Russian.

Astronomy and Astrophysics

Astronomy

4

Equilibrium Equations, Stellar Motions, Stellar Structure, Stellar Systems, Equations Of Motion, Self Consistent Fields, Stellar Models

Scientific paper

The discovery of three classes of new self-consistent phase models of stellar systems with a square-law potential is reported; these models describe the figures of the equilibrium of gravitating collisionless ellipsoids. The equilibrium figures have an 'oblique' rotation, i.e., their rotation axes in a general case do not coincide with any inertial axis of the material ellipsoid. In the space of random velocities, these figures are represented by 1D straightline sections ('needles'), implying the existence of linear relations between stellar velocity vectors in a given point of the configuration space. It is proven that the majority of stars do not touch the elliptical boundary, and that contact is possible only for stars from the ends of the velocity needle. A general problem for models with a needle-shape ellipsoid of velocities is considered. Differential equations of motion for an individual star are solved, and the first four integrals of this motion are found.

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