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. 
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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…
Stellar Dynamics: Exact Solution of the Self-Gravitation Equation
The Distribution of Stars in Globular Clusters