Statistics – Computation
Scientific paper
Nov 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984afz....20..499k&link_type=abstract
(Astrofizika, vol. 20, Nov.-Dec. 1984, p. 499-521) Astrophysics (ISSN 0571-7132), vol. 20, no. 6, May 1985, p. 628-643. Translat
Statistics
Computation
Astronomical Models, Computational Astrophysics, Ellipsoids, Self Consistent Fields, Stellar Systems, Equations Of Motion, Particle Motion, Rotating Bodies, Stellar Rotation, Velocity Distribution
Scientific paper
The motion of a particle in a model ellipsoidal stellar system with no equatorial plane of symmetry perpendicular to the rotation axis (similar in some respects to the Riemann fluid ellipsoids studied by Chandrasekhar, 1969) is investigated analytically. The equations of motion and a singular line are defined, and a general solution is obtained which permits determination of the conditions under which a particle reaches the ellipsoidal boundary surface. A number of special cases with velocity dispersion and the transitions to the limiting cases of the Freeman (1966) ellipsoid and adjoint ellipsoids (without velocity dispersion) are considered.
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