TITLE:
Basins of Attraction in the Copenhagen Problem Where the Primaries Are Magnetic Dipoles
AUTHORS:
Tilemachos J. Kalvouridis, Maria Ch. Gousidou-Koutita
KEYWORDS:
Copenhagen Problem with Magnetic Dipoles; Equilibrium Locations; Basins of Attraction; Solution of Non-Linear Algebraic Systems; Newton and Quasi-Newton Methods; Comparison of Numerical Methods
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.6,
June
21,
2012
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.