Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980stam...62..263w&link_type=abstract
Studies in Applied Mathematics, vol. 62, June 1980, p. 263-271.
Astronomy and Astrophysics
Astrophysics
1
Astronomical Models, Branching (Mathematics), Cosmic Gases, Galactic Rotation, Gravitational Effects, Hypergeometric Functions, Maclaurin Series, Stellar Rotation, Astrophysics, Ellipsoids, Halos, High Temperature Gases, Intergalactic Media, Jeans Theory, Rotating Fluids, Spheroids, Stellar Envelopes
Scientific paper
The equilibrium structure of Maclaurin spheroids and Jacobi ellipsoids embedded in nonrotating halos of uniform density is considered. The halo is assumed to be unresponsive to the embedded object, while the latter is allowed to respond to the gravitational field of the halo; the effects of the halo pressure field on the embedded object are ignored. The way in which the halo modifies the Maclaurin and Jacobi sequences is shown, and it is found that the halo exerts a stabilizing influence by increasing the eccentricity at the point of bifurcation. Eccentricity at bifurcation is formulated as a function of the ratio of halo density to the density of rotating matter.
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