Gravitational stability of embedded rotating disks

Details Gravitational stability of embedded rotating disks Gravitational stability of embedded rotating disks

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978afz....14..129a&link_type=abstract

Astrofizika, vol. 14, Feb. 1978, p. 129-144. In Russian.

Astronomy and Astrophysics

Astronomy

4

Astronomical Models, Gravitational Effects, Rotating Disks, Spiral Galaxies, Systems Stability, Angular Velocity, Bodies Of Revolution, Partial Pressure, Spheroids, Wave Dispersion

Scientific paper

The stability of a rotating self-gravitating polytropic disk embedded in a spheroidal gravitating mass is analyzed. The equilibrium state of the embedded slab of matter is examined for polytropes with indices of 2 and infinity; it is found that the presence of the outer spheroid reduces the thickness of the slab. Perturbations of the equilibrium slab are investigated, a dispersion relation is obtained for an incompressible embedded slab, and critical modes of symmetric and antisymmetric perturbations are evaluated for an embedded polytropic slab with an index of 2. Stability criteria for the embedded polytropic slabs with indices of 2 and infinity are compared. Numerical results are presented which show that the outer spheroid has a stabilizing effect and may even completely stabilize the embedded slab under certain conditions.

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