Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...321..113s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 321, Oct. 1, 1987, p. 113-152.
Astronomy and Astrophysics
Astrophysics
118
Astronomical Models, Elliptical Galaxies, Galactic Rotation, Galactic Structure, Angular Momentum, Galactic Evolution, Galactic Mass, Schwarzschild Metric, Stellar Motions, Velocity Distribution
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 catalog of 1065 orbits to match the density of the mass model at 240 points. The extent of the space of mathematically allowed solutions for each figure is mapped out (in one projection) 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.
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