Configurations of a rapidly rotating gravitating magnetized drop of homogeneous liquid, accounting for nonlinear effects
Abstract
For a rapidly rotating gravitating homogeneous drop of a magnetized liquid a system of equations determining configurations of the drop in the third approximation for perturbations caused by magnetic strains is obtained and examined. It is shown that a nonlinear increase of nonaxisymmetric deformations takes place near the bifurcation points and the deformations are approximately equal to κ^{1/3}(κ = B_{0}^{2}/8π^{2}Gρ^{2}a^{2}). The application of the results obtained to estimate the total intensity of gravitational wave emission of these objects is discussed.
 Publication:

Astronomicheskii Zhurnal
 Pub Date:
 June 1988
 Bibcode:
 1988AZh....65..501T
 Keywords:

 Drops (Liquids);
 Gravitational Effects;
 Magnetic Materials;
 Rotating Fluids;
 Approximation;
 Branching (Physics);
 Magnetic Effects;
 Nonlinear Equations;
 Perturbation Theory;
 Astrophysics