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Design and optimization of low-energy transfer orbit to Mars with multi-body environment 被引量:3

Design and optimization of low-energy transfer orbit to Mars with multi-body environment
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摘要 This paper discusses the problem of design and optimization of low-energy transfer orbit with multi-body environment. A new integrative method is proposed to effectively solve the problem, in which the parameterized patched manifolds in CR3BP(circular restricted three-body problems), the shape-based method with multi-body environment, the homotopic method with multi-body environment, and the low-thrust capturing and descending algorithm with multi-body environment are all included. Firstly, the parameters describing the patched manifolds in CR3 BP are optimized until the least total absolute velocity increment has been got, including the employment of the shape-based method with multi-body environment. Secondly, the low-thrust control laws of the transfer orbit are optimized employing the homotopic method with multi-body environment that transfers the fuel optimization problem to an easier energy optimization problem. Thirdly, the low-thrust descending orbit around Mars is computed using the laws proposed in this paper. As a typical example, the Earth-Mars transfer orbit design is discussed. The results showed that the parameters describing the patched manifolds could be optimized by the DE(differential evolution) algorithm effectively; the homotopic method with multi-body environment could get the optimal value that meets the first order optimality conditions; and the low-thrust descending orbit could effectively be captured by Mars and finally become a circular parking orbit around it by the hypothesis control laws proposed in this paper. It shows that the final fuel cost is much less than the optimal transfer in the patched two-body problems. In conclusion, the method proposed in this paper could effectively solve the low-energy low-thrust optimal control problem in multi-body environment for the future deep space explorations.
出处 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2015年第10期1660-1671,共12页 中国科学(技术科学英文版)
基金 supported by the National Hi-Tech Research and Development Program of China("863"Project)(Grant No.2010AA7040014)
关键词 orbit optimization multi-body patched manifolds LOW-ENERGY LOW-THRUST 优化问题 转移轨道 轨道设计 低能量 环境 多体 同伦方法 最优控制问题
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