基于综合变轨的高轨远程自主交会规划方法

doi:10.12305/j.issn.1001-506X.2024.07.29

摘要/Abstract

摘要：

基于近圆偏差线性方程研究了高轨远程交会问题, 基于面内三脉冲变轨策略建立了双层非线性规划模型。外层采用粒子群算法对第1个和第2个脉冲纬度幅角进行寻优, 对传统固定在远地点或近地点的方法进行改进。在确定第1个和第2个脉冲纬度幅角后, 内层采用近圆偏差线性方程, 快速迭代求解第3个脉冲纬度幅角和3次脉冲的速度增量。仿真结果表明, 所提规划方法可用更小的燃料代价在指定时间内到达指定的变轨终端, 具有工程应用价值。

关键词: 高轨, 远程交会, 自主规划, 近圆偏差线性方程

Abstract:

Far-range rendezvous problem of geosynchronous orbit is studied based on the linear equation of near-circular deviation, and a two-layer nonlinear programming model is established based on the in-plane 3-pulse manuveur strategy. In the outer layer, the particle swarm optimization algorithm is used to optimize the arugment angle of the first and second pulses, which improves the traditional method of fixing at apogee or perigee. After determining the arugment angle of the first pulse and the second pulse, the inner layer uses the near-circular deviation linear equation to solve the arugment angle of the third pulse and the speed increment of the three pulses quickly. Simulation results show that the proposed planning method can reach the designated terminal in the specified time with less fuel cost, and has engineering application value.

Key words: geosynchronous orbit, far-range rendezvous, autonomous planning, near-circular deviation linear equation

中图分类号:

V448.23

徐广德, 何晶晶. 基于综合变轨的高轨远程自主交会规划方法[J]. 系统工程与电子技术, 2024, 46(7): 2475-2480.

Guangde XU, Jingjing HE. Far-range autonomous rendezvous planning method of geosynchronous orbit based on hybrid maneuvers[J]. Systems Engineering and Electronics, 2024, 46(7): 2475-2480.

图/表 10

图1

图2

表1

表2

图3

表3

图4

图5

图6

图7

参考文献 29

1	SAMSAM S, CHHABRA R. Multi-impulse shape-based trajectory optimization for target chasing in on-orbit servicing missions[C]//Proc. of the IEEE Aerospace Conference, 2021: 2411-2421.
2	ZHAO Y , CAO Y , CHEN Y , et al. Mission planning of GEO active debris removal based on revolver mode[J]. Mathematical Problems in Engineering: Theory, Methods and Applications, 2021, 2021, 8284022.
3	TARABINI L , GIL J , GANDIA F , et al. Ground guided CX-OLEV rendezvous with uncooperative geostationary satellite[J]. Acta Astronautica, 2007, 61 (1/6): 312- 325.
4	VERSTRAETE A W , ANDERSON D , LOUIS N M S , et al. Geosynchronous earth orbit robotic servicer mission design[J]. Journal of Spacecraft and Rockets, 2018, 55 (6): 1444- 1452. doi: 10.2514/1.A33945
5	HAN P, GUO Y N, LI C T, et al. GEO satellites on-orbit repairing mission planning with mission deadline constraint using a large neighborhood search-genetic algorithm[EB/OL]. [2023-09-30]. https://arxiv.org/abs/2110.03878.
6	YU J, YU Y G, HAO D, et al. Biobjective mission planning for geosynchronous satellites on-orbit refueling[C]//Proc. of the Institution of Mechanical Engineers, 2019: 686-697.
7	张进. 空间交会远程导引变轨任务规划[D]. 长沙: 国防科学技术大学, 2008.
	ZHANG J. Phasing maneuver mission pre-flight planning for space rendezvous[D]. Changsha: National University of Defense Technology, 2008.
8	WANG J X , BAI H X , SUN L F . Optimal four-impulse rendezvous between coplanar elliptical orbits[J]. Science China (Phy-sics, Mechanics & Astronomy), 2011, 54 (4): 792- 802.
9	TIAN X W, JIA Y M, CHEN C Q. Optimal four-impulse ellipse-to-ellipse coplanar rendezvous[C]//Proc. of the IEEE 35th Chinese Control Conference, 2016: 5498-5503.
10	BARANOV A A , ROLDUGIN D S . Six-impulse maneuvers for rendezvous of spacecraft in near-circular noncoplanar orbits[J]. Cosmic Research, 2012, 50 (6): 441- 448. doi: 10.1134/S0010952512050012
11	PRUSSING J E , CHIU J H . Optimal multiple-impulse time-fixed rendezvous between circular orbits[J]. Journal of Guidance, Control & Dynamics, 2012, 9 (1): 77- 81.
12	BARANOV A A , GRISHKO D A , MEDVEDEVSKIKH V V , et al. Solution of the flyby problem for large space debris at sun-synchronous orbits[J]. Cosmic Research, 2016, 54 (3): 229- 236. doi: 10.1134/S0010952516030011
13	BARANOV A A , BUDYANSKY A A . Algorithm for calculation of the parameters of four maneuvers of a non-coplanar rendezvous in the vicinity of a circular orbit[J]. Cosmic Research, 2022, 60 (6): 491- 501. doi: 10.1134/S0010952522060028
14	SANTOS D P S D , ALMEIDA PRADO A F B D , COLASURDO G . Four-impulsive rendezvous maneuvers for spacecrafts in circular orbits using genetic algorithms[J]. Mathematical Problems in Engineering Theory, Methods and Applications, 2012, 2012, 94- 113.
15	李蒙, 马晓兵. 航天器远程自主交会方法设计与实现[J]. 宇航学报, 2017, 38 (9): 911- 918.
	LI M , MA X B . Development of long distance autonomous rendezvous for spacecraft[J]. Journal of Astronautics, 2017, 38 (9): 911- 918.
16	李革非, 宋军, 刘成军. 交会对接任务轨道控制规划设计与实施[J]. 载人航天, 2014, 20 (1): 1- 8. doi: 10.3969/j.issn.1674-5825.2014.01.001
	LI G F , SONG J , LIU C J . Design and implementation of orbit maneuver programming in rendezvous and docking missions[J]. Manned Spaceflight, 2014, 20 (1): 1- 8. doi: 10.3969/j.issn.1674-5825.2014.01.001
17	李君龙, 李松洲, 周荻. 一种多约束条件下的三脉冲交会优化设计方法[J]. 系统工程与电子技术, 2022, 44 (8): 2612- 2620.
	LI J L , LI S Z , ZHOU D . Optimization method for three impulse rendezvous under multi-constriants[J]. Systems Engineering and Electronics, 2022, 44 (8): 2612- 2620.
18	BARBEE B W , CARPENTER J R , HEATWOLE , et al. A guidance and navigation strategy for rendezvous and proximity operations with a noncooperative spacecraft in geosynchronous orbit[J]. Journal of the Astronautical Sciences, 2011, 58 (3): 389- 408. doi: 10.1007/BF03321176
19	LUO Y Z , SUN Z J . Safe rendezvous scenario design for geostationary satellites with collocation constraints[J]. Astrodynamics, 2017, 1 (1): 71- 83. doi: 10.1007/s42064-017-0006-5
20	LUO Y Z , SUN Z J , ZHANG J . Proximity scenario design for geostationary rendezvous with collocated satellite avoidance[J]. Acta Astronautica, 2019, 154, 153- 168. doi: 10.1016/j.actaastro.2018.11.004
21	蔡亚星, 王兴龙, 朱阅訸. GEO在轨服务任务建模与强化学习服务序列规划[J]. 空间控制技术与应用, 2022, 48 (3): 39- 48.
	CAI Y X , WANG X L , ZHU Y H . On-orbit service mission modeling and reinforcement learning services sequence planning in GEO[J]. Aerospace Control and Application, 2022, 48 (3): 39- 48.
22	王涛, 张锴, 王新波, 等. GEO卫星在轨服务路径规划方法[J]. 航天控制, 2022, 40 (6): 11- 16.
	WANG T , ZHANG K , WANG X B , et al. A path planning method for GEO satellite on-orbit service[J]. Aerospace Control, 2022, 40 (6): 11- 16.
23	刘涛, 胡海霞, 解永春. 静止轨道卫星远程交会策略设计[J]. 宇航学报, 2020, 41 (8): 1015- 1022.
	LIU T , HU H X , XIE Y C . Far-range rendezvous strategy planning for geostationary orbit satellites[J]. Journal of Astronautics, 2020, 41 (8): 1015- 1022.
24	HUANG A Y, LUO Y Z, LI H N. Fast optimization of impulsive perturbed orbit rendezvous with finite iterations[EB/OL]. [2023-09-30]. https://arxiv.org/abs/2108.04759v1.
25	FUNKE Z K Z K. Long-duration proximity operations flexibly optimized for efficient inspection and servicing using free-orbit dyna-mics[D]. Cambridge: Massachusetts Institute of Technology, 2017.
26	GOODARZIMEHR V , OMIDINASAB F , TAGHIZADIEH N . Optimum design of space structures using hybrid particle swarm optimization and genetic algorithm[J]. World Journal of Engineering, 2023, 20 (3): 591- 608. doi: 10.1108/WJE-05-2021-0279
27	QIAN Y, XU M, ZENG Z F, et al. Optimal multiple-impulse time-fixed rendezvous using genetic algorithm[C]//Proc. of the IEEE Information Engineering & Computer Science, 2010: 77-81.
28	李革非. 交会对接轨道控制规划[M]. 北京: 国防工业出版社, 2016.
	LI G F . Orbital control planning for rendezvous and docking[M]. Beijing: National Defence Industry Press, 2016.
29	王涛, 徐岩. 粒子群优化算法在配方设计中的应用[J]. 微计算机信息, 2012, 28 (1): 178- 180.
	WANG T , XU Y . The application of particle swarm optimization to cigarette design[J]. Microcomputer Information, 2012, 28 (1): 178- 180.

参数	数值
粒子个数	20
初始权重	0.8
最终权重	0.4
加速因子c₁	1.5
加速因子c₂	1.5
最大迭代次数	30

轨道根数	目标星	追踪星
半长轴/km	42 164	42 064
偏心率	0	0
轨道倾角/(°)	0.05	0.05
近地点幅角/(°)	100	220
升交点赤经/(°)	300	300
真近点角/(°)	200	75

规划结果	本文算法	STK	文献[23]算法
第1次变轨时刻/s	56 844	56 810	25 012
第1次脉冲位置(u1)/(°)	173.347	173.208	39.876(远地点附近)
第1次脉冲/(m/s)	-2.588	-2.584	-3.468
第2次变轨时刻/s	196 522	196 621	153 642
第2次脉冲位置(u2)/(°)	40.645	41.305	221.050(近地点附近)
第2次脉冲/(m/s)	2.033	2.023	1.829
第3次变轨时刻/s	233 188	233 117	196321
第3次脉冲位置(u3)/(°)	194.320	194.022	40.283(远地点附近)
第3次脉冲/(m/s)	4.214	4.214	5.291
总速度增量/(m/s)	8.835	8.821	10.588

[1]	高天旸, 胡笑旋, 夏维. 基于分布式协同进化的星座自主任务规划算法[J]. 系统工程与电子技术, 2022, 44(5): 1600-1608.
[2]	闫循良, 廖守亿, 王仕成. #br# 基于伪谱重构的采样反馈近最优制导[J]. 系统工程与电子技术, 2016, 38(9): 2129-2134.