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This article explores the subharmonic orbits of a four-dimensional degenerate resonance non-autonomous system. The well-known subharmonic Melnikov method is improved in this paper. Suppose the unperturbed system is a two-degree-of-freedom decoupled Hamiltonian system and possesses a family of periodic orbits. The important issue is the persistence of the periodic orbits after periodic perturbations...
Due to the limits of size and weight of probes, analysis and design of the low-energy escaping orbit play a significant role in saving the energy in space exploration. In this paper, we research the mechanism of the evolution of the probe orbital energy and develop a design method for the low-energy escaping orbits in the Earth–Moon system. A dynamic model accounting for the Sun–Earth–Moon-probe elliptical...
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