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Natural Action–Angle Variables

Published online by Cambridge University Press:  04 August 2017

David N Spergel
David N Spergel*
Affiliation:
Institute for Advanced Study, Princeton, N.J, 08540 USA

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Since galaxies are collisionless relaxed systems, actions are an extremely useful tool for understanding their dynamics. There are many potential applications of actions: (1) When orbits in an N-body simulation are characterized by their actions, the six dimensional distribution function, can be reduced to a more tractable three dimensional function, f(J). (2) Actions are adiabatic invariants, and thus are useful for studying slowly evolving systems. Binney, May and Ostriker (1986) have applied this technique to study the response of the spheroid to the disc. (3) the spectral decomposition of an orbit can be used to help generate self–consistent galaxy models (Spergel 1987).

Type
Posters
Information
Symposium - International Astronomical Union , Volume 127: Structure and Dynamics of Elliptical Galaxies , 1987 , pp. 483 - 484
Copyright
Copyright © Reidel 1987 

References

REFERENCES

Aguilar, L. and Spergel, D.N., 1987, in preparation.Google Scholar
Arnold, V.I., 1978, Mathematical Methods of Classical Mechanics, Chapter 10, Springer, New York.Google Scholar
Binney, J.J., May, A. and Ostriker, J.P., 1986, Oxford preprint.Google Scholar
Binney, J.J. and Spergel, D.N., 1984, M.N.R.A.S., 206, 159.Google Scholar
de Zeeuw, T., 1984, Dynamics of Triaxial Stellar Systems, Ph. D. thesis, Leiden, Netherlands.Google Scholar
Spergel, D.N., 1987, in preparation.Google Scholar