Self-consistent models of perfect triaxial galaxies

Mathematics

Scientific paper

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Angular Momentum, Elliptical Galaxies, Stellar Mass, Stellar Models, Data Smoothing, Density (Mass/Volume), Iteration, Linear Programming

Scientific paper

The self-consistent problem for the triaxial mass model known as the perfect ellipsoid is treated numerically. Schwarzschild's method is applied to 21 perfect ellipsoids of various axis ratios, using an unbiased catalogue of 1065 orbits to match the density of mass model at 240 points. The extent of the space of mathematically allowed solutions for each figure is mapped out by using linear programming to maximize linear combinations of the x and z components of the angular momentum. Lucy's iterative method is used to obtain smooth solutions in the interiors of the solution spaces. The major results are given and discussed.

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