Equilibrium figures of stellar systems with a needle-shaped ellipsoid of velocities - Disk-shaped ellipsoids and regions of existence of new models

Statistics – Computation

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Asymptotic Methods, Equilibrium Equations, Stellar Models, Stellar Structure, Stellar Systems, Computational Astrophysics, Ellipsoids, Linear Equations

Scientific paper

For three new classes of ellipsoidal K III, K IV, and K V models, an asymptotic limit transition to disk-shaped ellisoids is considered. As a result, three sequences of self-consistent thin disks of finite radius with a square-law potential are constructed. An analysis of the dynamics of the disks and of stellar motions within the disks is performed, with disk thickness taken into account. Distribution phase functions as well as asymptotic expressions for all disk parameters are derived. The regions of existence of all three ellipsoidal models on the (a2/a1, a3/a1) plane are determined.

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