Prolate galaxy models with thin-tube orbits

Details Prolate galaxy models with thin-tube orbits Prolate galaxy models with thin-tube orbits

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...363..367h&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 363, Nov. 10, 1990, p. 367-390.

Statistics

Computation

16

Astronomical Models, Computational Astrophysics, Galactic Rotation, Galactic Structure, Orbital Mechanics, Distribution Functions, Integral Equations

Scientific paper

The construction of self-consistent distribution functions for prolate Staeckel models is considered. The orbits are confined by three independent integrals of motion and form two different families, the inner and outer long-axis tubes. The models constructed are built exclusively with infinitesimally thin orbits, and orbits of both families are needed. Once the density of the model has been split into two components, one for each family, two phase-space distribution functions can be found uniquely by solving one-dimensional integral equations of Abel type. But the models are not unique, because a variety of splits of the density is possible at all except extreme values of the axis ratio. Except at these extremes, physical models require that both families of orbits are populated. A range of models are constructed for perfect prolate spheroids of all axis ratios, and several of their other basic physical properties such as mean-streaming velocities, dispersions, angular momenta and the relative masses of their two orbit families are computed. The mean-streaming motions exceed the circular velocity in the inner regions of these models.

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