The dynamical inverse problem for axisymmetric stellar systems

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Title: The dynamical inverse problem for axisymmetric stellar systems
Author: Merritt, David
Abstract: The standard method of modelling axisymmetric stellar systems begins from the assumption that mass follows light. The gravitational potential is then derived from the luminosity distribution, and the unique two-integral distribution function f(E, L2z ) that generates the stellar density in this potential is found. It is shown that the gravitational potential can instead be generated directly from the velocity data in a two-integral galaxy, thus allowing one to drop the assumption that mass follows light. The two-dimensional rotational velocity field can also be recovered in a model-independent way. Regularized algorithms for carrying out the inversions are presented and tested by application to pseudo-data from a family of oblate models. (Refer to PDF file for exact formulas).
Description: Archived in: arXiv:astro-ph/9603160 v3 5 Jun 1996 AND Rutgers Astrophysics Preprint Series No. 190
Record URI: http://hdl.handle.net/1850/1429
Date: 1996-09

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