Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...322..618b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 322, Nov. 15, 1987, p. 618-631. Research supported by the Canadian Astronom
Astronomy and Astrophysics
Astrophysics
39
Astronomical Models, Stellar Motions, Stellar Orbits, Stellar Systems, Angular Momentum, Integral Equations, Mass Distribution, Self Consistent Fields, Stellar Rotation
Scientific paper
Self-consistent models are presented for axisymmetric stellar systems with Staeckel potentials which are composed of stars on infinitesimally thin short-axis tube orbits (shell models). The distribution of orbits in shell models that correspond to given potentials and density profiles is determined. For shell models, self-consistency is expressed as a one-dimensional integral equation. The solution of this integral equation for the distribution of orbits is unique. It is shown under what conditions the distribution of orbits will be positive definite. Linear programming or iterative methods are not required to construct the models. Self-consistent models are found for the perfect oblate spheroid, modified Hubble, modified Plummer, and modified Jaffe mass distributions. Dynamical properties of the models are calculated, including the velocity ellipsoid and rotation curves.
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