Interplanetary transfers employing invariant manifolds and gravity assist between periodic orbits  

作　　者：WANG Shuai SHANG HaiBin WU WeiRen 

机构地区：[1]Key Laboratory of Dynamics and Control of Flight Vehicle,Ministry of Education,Beijing Institute of Technology [2]Lunar Exploration and Space Program Center,China National Space Administration

出　　处：《Chinese Science Bulletin》2013年第7期786-794,共9页

基　　金：supported by the National Basic Research Program of China ("973" Program) (Grant No. 2012CB720000);the National Natural Science Foundation of China (Grant No. 11102021);Foundation of Science and Technology on Space Intelligent Control Laboratory

摘　　要：The interest in the periodic orbits of the restricted three-body problem continues to grow for their significant practical application.This paper focuses on the interplanetary transfers between periodic orbits of two different three-body systems,whose invariant manifolds have no intersection in phase space.A novel design method is proposed to obtain the optimal transfer employing the invariant manifolds and planetary gravity assist.The periapsis Poincare map is used to analyze the periapsides of invariant manifolds.On the basis of hyperbola approximation,the impulses performed on the periapsis of invariant manifolds are calculated with a simple iterative algorithm.The propellant-efficient escape and capture trajectories can be found by comparing the impulses magnitudes corresponding to different invariant manifolds,which can provide the appropriate initial guess for optimization.Further,the trajectory design is formulated as an unconstrained optimization problem under the perturbed restricted three-body model.An efficient algorithm combining simplex method and differential correction is adopted to obtain the optimal solution.The validity of the proposed approach is demonstrated through several interplanetary low energy transfer trajectories.The interest in the periodic orbits of the restricted three-body problem continues to grow for their significant practical applica- tion. This paper focuses on the interplanetary transfers between periodic orbits of two different three-body systems, whose in- variant manifolds have no intersection in phase space. A novel design method is proposed to obtain the optimal transfer em- ploying the invariant manifolds and planetary gravity assist. The periapsis Poincare map is used to analyze the periapsides of invariant manifolds. On the basis of hyperbola approximation, the impulses performed on the periapsis of invariant manifolds are calculated with a simple iterative algorithm. The propellant-efficient escape and capture trajectories can be found by com- paring the impulses magnitudes corresponding to different invariant manifolds, which can provide the appropriate initial guess for optimization. Further, the trajectory design is formulated as an unconstrained optimization problem under the perturbed re- stricted three-body model. An efficient algorithm combining simplex method and differential correction is adopted to obtain the optimal solution. The validity of the proposed approach is demonstrated through several interplanetary low energy transfer trajectories.

关 键 词：不变流形 周期轨道 行星引力 行星际 传输 无约束优化问题 限制性三体问题 迭代算法 

分 类 号：O415.5[理学—理论物理] TP271[理学—物理]