Aimed at the multiple-constraint trajectory optimization problem in the descent phase of small body landing exploration, Gauss pseudospectral method is used for the optimization design and the fuel-optimal descent trajectory is derived. The optimal control model of small body descent trajectory optimization problem is established and discretized using Gauss pseudospectral method. The problem is then solved by transforming into a nonlinear programming problem. Mathematical simulation results show that all the constraints are satisfied, the optimization index of fuel consumption is minimized and the spacecraft reaches the target landing site with zero velocity. Using Gauss Pseudospectral method, the computation process of small body descent trajectory optimization is fast and has high solution accuracy.
YUAN Xu, ZHU Shengying
. Small Body Descent Trajectory Optimization Based on Pseudospectral Method[J]. Journal of Deep Space Exploration, 2016
, 3(1)
: 51
-55
.
DOI: 10.15982/j.issn.2095-7777.2016.01.008
[1] 崔平远, 乔栋. 小天体附近轨道动力学与控制研究现状与展望[J]. 力学进展, 2013, 43(5): 526-539.Cui P Y, Qiao D. State-of-the-art and prospects for orbital dynamics and control near small celestial bodies[J]. Advances in Mechanics, 2013, 43 (5): 526-539.
[2] Dunham David W, Farquhar Robert W, McAdams James V, et al. Implementation of the first asteroid landing[J]. Icarus, 2002, 159(2): 433-438.
[3] Uo M, Shirakawa K, Hashimoto T, et al. Hayabusa's touching-down to Itokawa-autonomous guidance and navigation[J]. The Journal of Space Technology and Science, 2006, 22(1): 41.
[4] 雍恩米, 陈磊, 唐国金. 飞行器轨迹优化数值方法综述[J]. 宇航学报, 2008, 29(2): 397-406.Yong E M, Chen L, Tang G J. A survey of numerical methods for trajectory optimization of spacecraft[J]. Journal of Astronautics, 2008, 29(2): 397-406.
[5] Stephen Broschart, Daniel Scheeres, Spacecraft descent and translation in the small-body fixed frame[M]. [S.L]: American Institute of Aeronautics and Astronautics, 2004.
[6] 张万里. 轨道转移飞行器的轨迹优化与制导算法研究[D]. 哈尔滨: 哈尔滨工业大学, 2011.Zhang W L. Research on trajectory optimization and guidance of orbital transfer vehicle[D]. Harbin: Harbin Institute of Technology,2001.
[7] 崔平远, 朱圣英, 崔祜涛. 小天体自主软着陆脉冲机动控制方法研究[J]. 宇航学报, 2008, 29(2): 511-516.Cui P Y, Zhu S Y, Cui H T. Autonomous impulse maneuver control method for soft landing on small bodies[J]. Journal of Astronautics, 2008, 29(2): 511-516.
