M. Gousidou-Koutita and T. J. Kalvouridis, “On the Efficiency of Newton and Broyden Numerical Methods in the Investigation of the Regular Polygon Problem of (N+1) Bodies,” Applied Mathematics and Computing, Vol. 212, No. 1, 2009, pp. 100-112. doi:10.1016/j.amc.2009.02.015

has been cited by the following article:

• 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.