The equilibrium state in the magnetic-binary problem when the more massive primary is an oblate spheroid

Physics

Scientific paper

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Celestial Bodies, Charged Particles, Equilibrium Equations, Magnetic Effects, Particle Motion, Binary Stars, Center Of Mass, Equations Of Motion, Spheroids, Variational Principles

Scientific paper

The equilibrium state in the planar problem of the behavior of a charged particle near a system of two magnetic bodies revolving around their center of mass is examined for the case in which the more massive primary is an oblate spheroid. Equations of motion of a particle moving in a magnetic-binary system with a more massive primary that is oblate are presented, and the properties of the collinear and triangular equilibrium points of the motion are considered. The stability of the equilibrium points is investigated by means of the characteristic polynomial of the linearized variational equations describing particle motion.

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