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Stability of equilibrium points in the three-dipole problem

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Abstract

In the three dipole problem we assume each one of the magnetic dipoles to be located on one member of a three celestial bodies system moving in circles according to the equilaterial solution of Lagrange. Using the method of characteristic exponents we study here for first time the stability of planar and three dimensional equilibrium points of charged particles moving under the electromagnetic force of the system. Applying this theoretical procedure we give an extensive numerical investigation for the stability of the equilibria for a lot combinations of the values of the parameters of the electromagnetic field.

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Authors and Affiliations

  1. Department of Mathematics, University of Patras, Greece

    C. D. Desiniotis & P. G. Kazantzis

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  1. C. D. Desiniotis
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  2. P. G. Kazantzis
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Desiniotis, C.D., Kazantzis, P.G. Stability of equilibrium points in the three-dipole problem. Astrophys Space Sci 202, 289–313 (1993). https://doi.org/10.1007/BF00626883

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  • DOI: https://doi.org/10.1007/BF00626883

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