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並列摘要


Quasi-periodic orbits about the translunar libration point have been used widely and their design method has been focused on. Designing this orbit with multiple shooting method and high-accuracy ephemeris model is the latest method which can overcome some traditional defects in the restricted three-body problem, such as the disregard for the Sun's perturbation. Due to complex calculations for patch points and lots of coordinate transformations involved in this method, two improvements are proposed in this paper to ameliorate the condition. Firstly, the traditional ephemeris model is reformed and established in the Earth-Moon rotating frame, which can avoid large amounts of coordinate transformations during the multiple shooting. Secondly, based on the characteristics of quasi-periodic orbits about the translunar libration point, instead of massive calculations, simple coordinate transformations can provide necessary information for patch points of multiple shooting. Simulation results show that the proposed method can be used effectively to design quasi-periodic orbits about the translunar libration point.

參考文獻


Richardson, D. L., “Analytic Construction of Periodic Orbits about the Collinear Points[J],” Celestial Mechanics, Vol. 22, 1980, pp. 241-253.
Farquhar, R. W., “A Quasi-periodic orbit about the translunar libration,” Celestial Mechanic[J], Vol. 7, 1973, pp. 458-473.
Howell, K. C., “A Numerical Determination of Lissajous Trajectories in the Restricted Three-body Problem[J],” Celestial Mechanics, Vol. 41, No. 1, 1988, pp. 107-124.
Jing, W. and Qian, Y., “Autonomous Navigation to Quasi-periodic Orbit near Translunar Libration Point,” Chinese Journal of Aeronautics(in press).
Qian, Y., Li, C., Jing, W., and Gao, C., “SEM Autonomous Orbit Determination for Quasi-periodic Orbit about the Translunar Libration Point,” Aerospace Science and Technology[J], 2013.

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