MATHEMATICAL MODEL OF EQUILIBRIUM SELF-GRAVITATING QUICKLY ROTATING MAGNETIZED CONFIGURATIONS

Integral equations of Lyapunov type, non-linear systems of equations, astrophysical objects are investigated in the paper aiming at the construction of a model, making it possible to calculate the equilibrium distribution of density for rotating magnetized stars. The investigation of their properties and evolution is also the aim of the paper as well as the calculation of parameters for the gravitation radiation of pulsars. As a result exact analytical representations for a gravitation potential, mass, density moments of complex heterogeneous configurations have been obtained. The corresponding programs have been developed. The mathematical model of equilibrium rotating masses has been constructed. The model developed has been realized in programs. The numerical investigation of the model for the case of a polytrope has been held. The method for the determination of "critical" points, in which the non-linear growth of the configuration asymmetry and gravitation radiation intensity takes place, has been developed. The paper results may find their field of application in star astrophysics, theory of the gravitation radiation of pulsars, inverse problems of astrophysics and geophysics, physics of plasma, physics of an atomic nucleusAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio