Motions in the field of two rotating magnetic dipoles. I - Equilibrium points

Physics

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Binary Stars, Magnetic Dipoles, Stellar Magnetic Fields, Three Body Problem, Charged Particles, Coding, Equations Of Motion, Gyromagnetism, Magnetic Moments

Scientific paper

The equilibrium points of charged particles moving under the Lorentz forces of two parallel or antiparallel magnetic dipoles located at the two primaries of the Restricted Three-Body Problem are calculated. The magnetic moments of the dipoles are taken perpendicular to the plane of motion of the primaries. The configuration studied simulates the case of close-binary stars with dominant zero-order harmonics in the magnetic field of each star. Depending on the mass parameter and the magnetic moment ratio of the two dipoles, it is found that there exist from one to nine equilibrium points in the plane of motion of the primaries. On the synodical axis of the primaries, depending on the above two ratios, there exist one, two, three, or five equilibrium points; while off this axis the number of equilibrium points is zero, two or four.

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