Three-dimensional models

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Distribution Functions, Schwarzschild Metric, Three Dimensional Models, Angular Momentum, Equations Of Motion, Hamiltonian Functions, Self Consistent Fields

Scientific paper

The Schwarzschild (1979) approach to the analysis of three-dimensional galactic models is reviewed. An analysis of triaxial Staeckel models is discussed which shows that such models have a wide variety of possible distribution functions. The uniqueness that Schwarzschild first encountered in his discrete formulation of the problem of finding a three-integral distribution function for a triaxial density is real and not an artifact of the finite cell approximation.

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