Fission of dumbbell equilibrium and binary state of rapidly rotating polytropes
Abstract
Equilibrium sequences of selfgravitating polytropic binaries are computed for polytropic indices, 0, 0.1, 0.5, 1.0, and 1.5, when synchronous rotation and congruent components are assumed. For the incompressible case of an index of 0, the sequence reaches the dumbbell sequence just at the contact phase. Together with previous work, a continuous sequence is obtained from the Maclaurin spheroid to the binary with a large separation by way of the Jacobi ellipsoid. The mechanism of fission and binary formation with mass ratio q = 1 can be reasonably understood as an inherent behavior of the sequence: the fission of a selfgravitating fluid can be interpreted as a phase transition of the first order.
 Publication:

Publications of the Astronomical Society of Japan
 Pub Date:
 Bibcode:
 1984PASJ...36..239H
 Keywords:

 Binary Stars;
 Fission;
 Polytropic Processes;
 Stellar Evolution;
 Stellar Rotation;
 J Integral;
 Maclaurin Series;
 Mass Ratios;
 Mass Transfer;
 Rotary Gyroscopes;
 Stellar Gravitation;
 Stellar Models;
 Astrophysics