Abstract
This paper investigates the energy change of the two-impulse Earth-Moon trajectory in the Sun-Earth-Moon bicircular model analytically. An analytic expression is first derived to describe the change of the Jacobi value of the two-impulse Earth-Moon trajectory in the Sun-Earth-Moon system. Then the analytical results of the total cost of the Earth-Moon transfer can be obtained by solving the equations related to the change in the Jacobi value of the transfer trajectory. Numerical results show that the analytic expressions can provide good descriptions of the energy changes of the two-impulse Earth-Moon transfer. Moreover, it indicates that the total cost mainly depends on a critical angle, termed the perilune angle. Accordingly, we explore the correlation of the total cost and the perilune angle. Finally, optimizations of two-impulse Earth-Moon transfers are further carried out.
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