Dirichlet problem in stellar dynamics. I - General case of the motion of a collisionless homogeneous gravitating ellipsoid

Details Dirichlet problem in stellar dynamics. I - General case of the motion of a collisionless homogeneous gravitating ellipsoid Dirichlet problem in stellar dynamics. I - General case of the motion of a collisionless homogeneous gravitating ellipsoid

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986afz....25..587k&link_type=abstract

(Astrofizika, vol. 25, Nov.-Dec. 1986, p. 587-603) Astrophysics (ISSN 0571-7132), vol. 25, no. 3, May 1987, p. 696-707. Translat

Statistics

Computation

4

Computational Astrophysics, Dirichlet Problem, Ellipsoids, Stellar Motions, Boltzmann Transport Equation, Cylinders, Disks, Star Clusters, Stellar Oscillations

Scientific paper

The problem of the most general motion of ellipsoidal systems with quadratic potential (ellipsoids, elliptic cylinders, and flat disks) is considered from the stellar-dynamic point of view. On the basis of the moment equations of the first three orders of the Boltzmann equation, a closed system of 15 time-dependent differential equations is obtained; this system describes the motion of a collisionless ellipsoid. With regard to the internal stresses, the velocity dispersion tensor is anisotropic and contains skew stresses. Some special cases of ellipsoidal system oscillations are addressed.

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