Triaxial galaxy models with thin tube orbits

Details Triaxial galaxy models with thin tube orbits Triaxial galaxy models with thin tube orbits

Apr 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...389...79h&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 389, April 10, 1992, p. 79-117. Research supported by NWO.

Statistics

Computation

35

Astronomical Models, Celestial Mechanics, Computational Astrophysics, Dynamic Models, Elliptical Galaxies, Orbit Calculation, Stellar Motions, Volterra Equations, Angular Momentum, Distribution Functions, Numerical Integration, Phase-Space Integral

Scientific paper

The construction of self-consistent distribution functions for triaxial galaxy models with Staeckel potentials is demonstrated. By restricting each of the three families of tube orbits to be infinitesimally thin and with no radial epicyclic motion, explicit expressions are obtained for their phase-space distribution functions, and then their densities and velocity moments throughout space. The properties of the integral equation of the Volterra type are derived and discussed. A number of the present models' general properties, such as the fact that orbits of all four families of the stellar orbits must be populated, and the way in which these populations vary with geometry, can be deduced analytically.

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