A quadratic programming technique for modeling gravitating systems

Statistics – Computation

Scientific paper

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Astronomical Models, Computational Astrophysics, Galactic Clusters, Gravitation, Quadratic Programming, Astronomical Photometry, Celestial Mechanics, Galactic Mass, Luminosity, Symmetry

Scientific paper

This paper presents a general method that produces analytic distribution functions for gravitating systems. A typical model fits photometric and kinematical data and is a superposition of components. The coefficients of the linear combination are determined by a quadratic programming technique. An explicit example for systems with spherical symmetry is given and the method is applied to the Coma cluster of galaxies. Statistically significant fits are obtained using only a small number of components. This technique is also a dynamical mass estimator.

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