3-D motions in the field of two rotating oblate magnetic dipoles

Physics

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Celestial Mechanics, Newtonian Mechanics, Interplanetary Magnetic Fields, Electric And Magnetic Moments, Polarizability, And Magnetic Susceptibility, Stellar Rotation, Rotational Kinematics, Lagrangian And Hamiltonian Mechanics

Scientific paper

The systematic study of the motion of charged particles in an electromagnetic field started with Störmer and its model at the beginning of the 20th century. Since then, many new models have been proposed. One of these is the so-called magnetic-binary problem or alternatively the problem of two rotating dipoles which combines the restricted three-body problem and the initial idea of Störmer. In this work we shall consider that the two primaries of the system are oblate spheroids and we shall try to reveal the mechanism of the evolution of the zero-velocity surfaces that limit the three-dimensional motions of the particle.

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