A Versatile Method for Obtaining Structures of Rapidly Rotating Stars. II. Threedimensional Selfconsistent Field Method
Abstract
A new threedimensional computational method for obtaining structures of a rapidly rotating star and multiple star systems, including binaries, is formulated to calculate many kinds of structures, such as ellipsoids, dumbbells, and deep contact binaries. Four kinds of multibody systems including twobody binary, threebody, fourbody, and fivebody systems are computed; they are assumed to be rigidly rotating and composed of equal masses. For binary systems, the equilibrium sequences from ellipsoid to binary through dumbbell structure are computed for two kinds of equation of state: polytropic stars and zerotemperature white dwarfs. Three and fourbody systems become a threelobed or a fourlobed configuration as the fluids come into contact, but a fivebody system becomes a onering configuration finally. This implies that the fivebody sequence bifurcates from the onering sequence, although two, three, and fourbody sequences bifurcate from the spheroidal sequence.
 Publication:

The Astrophysical Journal Supplement Series
 Pub Date:
 November 1986
 DOI:
 10.1086/191148
 Bibcode:
 1986ApJS...62..461H
 Keywords:

 Angular Velocity;
 Binary Stars;
 Computational Astrophysics;
 Self Consistent Fields;
 Stellar Rotation;
 Stellar Structure;
 Boundary Value Problems;
 Equations Of State;
 Four Body Problem;
 Stellar Mass;
 Three Body Problem;
 White Dwarf Stars;
 Astrophysics;
 STARS: BINARIES;
 STARS: INTERIORS;
 STARS: ROTATION