Abstract
In this paper, we investigate the cases which admit Jacobian and energy conversation are constants, in the Sun perturbed Earth–Moon system. We prove that the Jacobian integral is a constant in two special cases, which can be used to determine the regions of motion from the zero velocity surfaces. On continuation of our study, we numerically illustrate the equilibrium points and their stability and Poincaré surfaces of section. In addition we reveal the basins of attraction, associated with the points of equilibrium using color–coded diagrams.
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