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Integrals of Motion in an Elliptical Galaxy Model

Published online by Cambridge University Press:  04 August 2017

Althea Wilkinson
Affiliation:
Astronomy Department, University of Manchester, UK
Tim de Zeeuw
Affiliation:
The Institute for Advanced Study, Princeton, USA

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The structure of a galaxy model is described completely by its phase–space distribution function f. By Jeans' Theorem f can be written as a function of the integrals of motion admitted by the potential of the model. Various independent combinations of the integrals may be used as arguments of f; in many cases the action integrals are to be preferred. For a general N–body model, these can be obtained by numerical integration and subsequent spectral decomposition of each orbit (Binney and Spergel 1984).

Type
Posters
Copyright
Copyright © Reidel 1987 

References

REFERENCES

Binney, J.J. & Spergel, D., 1984. Mon. Not. R. astr. Soc., 206, 159.Google Scholar
de Zeeuw, P.T., 1985. Mon. Not. R. astr. Soc., 216, 273.Google Scholar
de Zeeuw, P.T. & Lynden–Bell, D., 1985. Mon. Not. R. astr. Soc., 215, 713.Google Scholar
Wilkinson, A. & James, R.A., 1982. Mon. Not. R. astr. Soc., 199, 171.Google Scholar