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Basins of Attraction in the Copenhagen Problem Where the Primaries Are Magnetic Dipoles
Department of Mechanics, Faculty of Applied Sciences, National Technical University of Athens, Athens, Greece
Department of Mathematics, Faculty of Sciences, Aristotle University of Thessaloniki, Thessaloniki, Greece
- 1 Department of Mechanics, Faculty of Applied Sciences, National Technical University of Athens, Athens, Greece
- 2 Department of Mathematics, Faculty of Sciences, Aristotle University of Thessaloniki, Thessaloniki, Greece
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Abstract
We deal with the Copenhagen problem where the two big bodies of equal masses are also magnetic dipoles and we study some aspects of the dynamics of a charged particle which moves in the electromagnetic field produced by the primaries. We investigate the equilibrium positions of the particle and their parametric variations, as well as the basins of attraction for various numerical methods and various values of the parameter λ .
KeywordsCopenhagen Problem with Magnetic DipolesEquilibrium LocationsBasins of AttractionSolution of Non-Linear Algebraic SystemsNewton and Quasi-Newton MethodsComparison of Numerical Methods
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