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direct problem of stellar dynamics

Cambridge University Press (1)

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12 - Modeling Techniques 1: Phase-Space Approach
from Part III - Collisionless Systems
Luca Ciotti, Università degli Studi, Bologna, Italy
Book:

Introduction to Stellar Dynamics

Published online:

28 May 2021

Print publication:

10 June 2021, pp 211-235
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Summary

Armed with the power of the Jeans theorem, we now proceed to formulate and discuss the so-called direct problem of collisionless stationary stellar dynamics. This approach is best suited for systems where empirical/dynamical arguments can lead to a plausible ansatz for the form of the underlying distribution function, expressed in terms of the relevant integrals of motion. In the absence of such an ansatz and in the presence of specific requirements (in general motivated by observations) for the density and velocity dispersion profiles, a different and complementary approach based on the use of the Jeans equations is often followed, which is the subject of Chapter 13.