Two-integral distribution functions for axisymmetric galaxies

@article{Hunter1993TwointegralDF,
  title={Two-integral distribution functions for axisymmetric galaxies},
  author={Christopher Hunter and E. E. Qian},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={1993},
  volume={262},
  pages={401-428}
}
  • C. Hunter, E. Qian
  • Published 15 May 1993
  • Physics
  • Monthly Notices of the Royal Astronomical Society
We present a new method for finding a distribution function f, which depends only on the two classical. integrals of energy E and angular momentum J about the axis of symmetry, for a stellar system with a known axisymmetric potential. and density. 
Anisotropic distribution functions for spherical galaxies
Abstract We describe a method for finding anisotropic distribution functions f(E,L 2), depending on the relative energy E and the magnitude L of the angular momentum, for spherical galaxies with
Simple distribution functions for stellar systems
We use two elementary solutions of the integral equation connecting the density of a stellar system with its two-integral distribution function in order to construct simple distribution functions.
Flattened γ models for galaxies
Using the equipotential method we introduce a class of flattened γ models for galaxies and study the properties of their potential–density pairs and two-integral distribution functions.
Two-integral distribution functions in axisymmetric galaxies: Implications for dark matter searches
We address the problem of reconstructing the phase-space distribution function for an extended collisionless system, with known density profile and in equilibrium within an axisymmetric gravitational
Dynamical Constraints on the Formation of Elliptical Galaxies
Recent work on the construction of spherical, Axisymmetric and triaxial dynamical models for elliptical galaxies is reviewed briefly, including their role in providing evidence for dark halos and
Two simple self-consistent galaxy models
Abstract Two axisymmetric galaxy models with ellipsoidal equipotentials are considered. The first one generalizes the Plummer shpere. The potential of the second model coincides with Parenago's
Two-integral distribution functions for axisymmetric systems
Some formulae are presented for finding two-integral distribution functions (DFs) which depend only on the two classical integrals of the energy and the magnitude of the angular momentum with respect
Anisotropic distribution functions for spherical galaxies
A method is presented for finding anisotropic distribution functions for stellar systems with known, spherically symmetric, densities, which depends only on the two classical integrals of the energy
Two-integral distribution functions for axisymmetric stellar systems with separable densities
We show different expressions of distribution functions (DFs) which depend only on the two classical integrals of the energy and the magnitude of the angular momentum with respect to the axis of
Axisymmetric Three-Integral Models for Galaxies
We describe an improved, practical method for constructing galaxy models that match an arbitrary set of observational constraints, without prior assumptions about the phase-space distribution
...
1
2
3
4
5
...

References

SHOWING 1-3 OF 3 REFERENCES
Dynamische Begründung der Geschwindigkeitsverteilung im Sternsystem
Im ersten Teil der Arbeit wird die Unzulanglichkeit der Ellipsoidtheorie als Basis fur eine statistische Dynamik von Sternsystemen begrundet. Im zweiten Teil wird eine statistische Dynamik fur