Motions in the field of two rotating magnetic dipoles. II - Stability of the equilibrium points

Mathematics

Scientific paper

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Gyromagnetism, Lagrangian Equilibrium Points, Magnetic Dipoles, Stellar Magnetic Fields, Equations Of Motion, Matrices (Mathematics), Roots Of Equations

Scientific paper

The stability of the equilibrium points found to exist (cf. Goudas et al., 1985) in the problem of two parallel, or antiparallel, magnetic dipoles that rotate about the centre of mass of their carrier stars, is studied by computing the characteristic roots of their variational equations. The characteristic equation, a biquadratic, solved for many combinations of μ and λ showed that all equilibrium points of this problem are unstable.

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