Stationary solutions and their stability in the magnetic-binary problem when the bigger primary is a triaxial rigid body

Astronomy and Astrophysics – Astronomy

Scientific paper

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Advanced Dynamics, Magnetic-Binary-Problem, Equilibrium Points (Stationary Points Or Libration Points), Stability.

Scientific paper

This paper deals with the stationary-state in the planer magnetic- binary problem when the bigger primary is a triaxial rigid body with its equatorial plane coincident with the plane of motion by taking different values of semiaxes of the triaxial rigid body. There exists five or seven equilibrium points (L1 , L2 , L3 are collinear and L4 , L5 , L6 , L7 are non-collinear) corresponding to certain values of mass parameter mu and magnetic parameter lambda, the libration point L1 does not exist when lambda = 0, 2, 3 the libration point L2 does not exist when lambda = 2, 3. We have also found that only L2 is stable for given values of mu and lambda.

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