以木星探测为背景,研究小推力借力飞行轨道的全局优化问题,建立了基于脉冲借力和指数正弦小推力的全局优化模型. 首先对指数正弦法进行简要介绍,并对基于指数正弦的小推力Lambert问题进行分析. 针对木星探测,选择3种借力方案,采用微分进化算法进行全局优化. 数值仿真结果表明,"地球-火星-木星"借力方案最好,全局优化模型满足初步设计要求,并可作为精确设计的初值猜测.
The low-thrust gravity-assist (LTGA) trajectory to Jupiter is studied and a novel LTGA model is proposed based on impulsive gravity-assist and low-thrust exponential sinusoid method. A brief description of this method is presented and the solution to the related low-thrust Lambert problem is summarized. LTGA schemes of EMJ, EVEJ, and EMEJ are optimized by differential evolution algorithm and then discussed in detail. Simulation results show that EMJ is the best and the proposed model is efficient for the initial design of LTGA trajectory.
[1] Petropoulos A. A shape-based approach to automated, low-thrust, gravity-assist trajectory design[D]. Purdue University, 2001.
[2] Mcconaghy T T, Debban T J, Petropoulos A E, et al. Design and optimization of low-thrust trajectories with gravity assists[J]. Journal of Spacecraft and Rockets, 2003, 40(3): 380-387.
[3] Yam C, McConaghy T, Chen K. Preliminary design of nuclear electric propulsion missions to the outer planets[C]//AIAA/AAS Astrodynamics Specialist Conference. Rhode Island, AIAA Paper 2004-5393.
[4] Okutsu M, Yam C. Low-thrust trajectories to jupiter via gravity assists from venus, earth, and mars[C]//AIAA Astrodynamics Specialist Conference. Keystone, Colorado, AIAA Paper 2006-6745.
[5] Debban T J, Mcconaghy T T, Longuski J M, et al. Design and optimization of low-thrust gravity-assist trajectories to selected planets[C]//AIAA Astrodynamics Specialist Conference and Exhibit. Monterey, California, AIAA Paper 2002-4729.
[6] Izzo D. Lambert's problem for exponential sinusoids[J]. Journal of Guidance, Control, and Dynamics, 2006, 29(5): 1242-1245.
[7] Vasile M, Izzo D. Spiral trajectories in global optimization of interplanetary and orbital transfers[R]. Ariadna Study Report A04919, 2006.