Fission sequences of self-gravitating and rotating fluid with internal motion

Details Fission sequences of self-gravitating and rotating fluid with internal motion Fission sequences of self-gravitating and rotating fluid with internal motion

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...142..256e&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 142, no. 2, Jan. 1985, p. 256-262.

Statistics

Computation

14

Astronomical Models, Galactic Evolution, Gravitational Effects, Rotating Fluids, Vorticity, Cauchy Problem, Computational Astrophysics, Continuity Equation, Flow Distribution, Incompressible Fluids, Laplace Equation, Legendre Functions, Poisson Equation, Roche Limit

Scientific paper

The authors have computed equilibrium sequences of a self-gravitating and rotating fluid with uniform vorticity. These sequences are extensions of the Riemann sequences because no restrictions to the shape are imposed. Equilibrium solutions bifurcate from the Riemann ellipsoidal sequences into dumb-bell like sequences. The waist of the dumb-bell slims more and more and finally it leads to fission. The authors have also computed rotating binary sequences with uniform vorticity. They smoothly connect to the dumb-bell like sequences for the relatively small vorticity case, but for the large vorticity case the separation of the binary reaches a minimum value and the two fluids cannot approach each other closer than this value. This is the Roche limit for the case where the internal motion is included.

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