18 October 2001 Gravidynamical equations for weakly gravitating spheroidal body
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Abstract
It has been shown that the strength and potential of the gravitational field of a slowly contracting spheroidal body satisfy a differential equation of the second order of the parabolic type for the case of unobservable velocities of particles. Therefore gravitational waves of a soliton type are propagated in a weakly gravitating spheroidal body under unobservable values of velocities. It has been obtained an equation of motion of particles inside the weakly gravitating spheroidal body modeled by means of an ideal liquid. It has been determined the connection of this equation with an equation of motion of a particle in a noninertial frame of reference. It has ben obtained the vector potential and the Lagrange function of a particle moving in a gravitational and gravimagnetic field. It has been derived the equations of hyperbolic type for the gravitational field of a weakly gravitating spheroidal body under observable values of velocities of particles composing it.
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Alexander M. Krot, Alexander M. Krot, } "Gravidynamical equations for weakly gravitating spheroidal body", Proc. SPIE 4394, Detection and Remediation Technologies for Mines and Minelike Targets VI, (18 October 2001); doi: 10.1117/12.445456; https://doi.org/10.1117/12.445456
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