Basins of Convergence of Equilibrium Points in the Generalized Hill Problem
Basins of Convergence of Equilibrium Points in the Generalized Hill Problem
The Newton-Raphson basins of attraction, associated with the libration points (attractors), are revealed in the generalized Hill problem. The parametric variation of the position and the linear stability of the equilibrium points is determined, when the value of the perturbation parameter $\epsilon$ varies. The multivariate Newton-Raphson iterative scheme is used …