基于改进多圆锥截线的月地返回轨道快速设计方法

doi:10.3969/j.issn.1001-506X.2020.04.21

Abstract

Abstract:

To optimize and design the return orbit from the Moon to the low Earth space station, an accurate and rapid approach based on the improved multi-conic method is proposed. It is different from Moon-to-Earth trajectories directly reentering the Earth atmosphere, where the coplanar constraints of the space station should be considered. Firstly, the flight process is analyzed and the optimization model is built with backward integration strategy. Then, based on the orbital geometric relationship in the cislunar space, an estimation method is proposed to determine the initial value of the perilune window and other orbital parameters. The improved multi-conic model is combined with the high-fidelity model and the transfer orbit is optimized rapidly and accurately with a cascade searching strategy. Simulation results show that the proposed solution strategy is effective and has good convergence. The fundamental patterns of the transfer window, perilune window and velocity increment are also revealed.

Key words: multi-conic method, Moon-to-Earth return orbit, Earth-centered Earth-to-Moon plane coordinate, low Earth space station, departure domain

CLC Number:

V412.4

Luyi YANG, Haiyang LI, Jin ZHANG, Wanmeng ZHOU, Lin LU. Fast Moon-to-Earth return orbit design based on improved multi-conic method[J]. Systems Engineering and Electronics, 2020, 42(4): 896-903.

Figures/Tables 13

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运行高度 h_LEO/km	轨道倾角 i_LEO/(°)	升交点赤经 Ω_LEO/(°)	环月高度 h_LLO/km	环月倾角 i_LLO/(°)
343.0	42.4	60.0	200	90

	参数	多圆锥截线法	高精度模型	多圆锥截线法	高精度模型
设计参数	近地点时刻t_A	2028年4月17日 19:04:42.62	2028年4月17日 19:07:50.37	2028年5月2日 7:48:46.54	2028年5月2日 7:51:38.67
	近月点经度λ_prl	181.92	181.95	182.26	182.28
	近地脉冲v_A/(m/s)	3 120.73	3 122.36	3 113.42	3 115.04
	纬度幅角u_L/(°)	-6.71	-6.65	174.12	174.18
近月点参数	倾角i_LLO(°)	90.00	90.00	90.00	90.00
	升交点经度Ω_LLO(°)	140.58	140.60	147.45	147.48
	高度h_LLO/km	200.00	200.00	200.00	200.00
	纬度幅角u_LLO/(°)	236.98	236.94	50.67	50.62
	近月脉冲v_B/(m/s)	941.00	941.15	907.31	907.22
	计算时间/s	0.437	47.81	0.569	53.24

初值条件	生成轨道数	收敛数量	收敛率
近月点时刻+ 近地纬度幅角	1 000	1 000	100.0%
近月点时刻	1 000	875	87.5%
近地纬度幅角	1 000	219	21.9%
无初值	1 000	0	0.00%

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Fast Moon-to-Earth return orbit design based on improved multi-conic method

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