Configurations of a rapidly rotating gravitating magnetized drop of homogeneous liquid, accounting for nonlinear effects

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 = B₀²/8π²Gρ²a²). The application of the results obtained to estimate the total intensity of gravitational wave emission of these objects is discussed.