我国已先后成功实施三次地月往返探测飞行任务,涵盖绕月自由返回飞行试验、月球正面采样返回任务,以及人类首次月球背面采样返回任务。探月工程三期轨道设计团队以经典天体力学理论为根基,充分吸纳前期任务积累的在轨飞行工程实践经验,构建形成了一套通用化的地月往返轨道设计理论与方法体系。该体系融合三大核心理论:地月系统三体动力学建模理论、环月轨道解析摄动理论与地月往返转移轨道几何不变性理论;基于该体系,团队在绕月自由返回轨道设计、月地转移入射策略、月球轨道交会规划、大椭圆冻结轨道设计及飞行任务一体化综合规划等关键技术领域取得了系统性突破。相关技术成果可全面支撑绕月返回、顺行与逆行环月轨道捕获、月球南北纬地区着陆、月球正面与背面采样等多类典型任务的实施。本文系统梳理了上述理论与方法的推理过程,全面总结了多类典型任务在轨实践中积累的工程经验,旨在为后续月球探测任务的轨道设计工作提供有价值的技术参考。
China has successfully completed three consecutive Earth–Moon round-trip exploration missions, encompassing a circumlunar free-return flight, a lunar nearside sample-return mission, and the first-ever lunar far-side sample return mission. Leveraging fundamental classical celestial mechanics theory and flight-proven engineering experience accumulated from prior lunar exploration programs, the trajectory design team has developed a systematic theoretical and methodological framework dedicated to Earth–Moon round-trip trajectory design. This framework unifies three core theoretical pillars: the three-body dynamic modeling theory for the Earth–Moon system, the analytical perturbation theory for lunar orbits, and the geometric invariance theory for Earth–Moon transfer trajectories. Building on this framework, the team has achieved systematic breakthroughs in a suite of critical enabling technologies, including circumlunar free-return trajectory optimization, trans-Earth injection (TEI) strategy design, lunar orbit rendezvous (LOR) trajectory planning, highly elliptical frozen orbit design, and end-to-end integrated mission planning. These technical advances have enabled the robust implementation of a diverse set of lunar mission scenarios, including circumlunar return, prograde and retrograde lunar orbit insertion, high-latitude landing in both lunar hemispheres, and nearside and far-side sampling return. This paper provides a systematic review of the evolutionary development of these theories and methodologies, alongside a comprehensive summary of flight-validated engineering experience accumulated via their on-orbit deployment. The objective of this work is to provide a foundational technical reference for the trajectory design in future lunar and deep space exploration missions.
[1] 杨孟飞,张高,张伍等. 月面无人自动采样返回技术设计与实现[J].中国科学:技术科学, 2021, 51(7): 738~752.
[2] Yang M.,Zhang W,Peng J,Zhang G, Technical advancements and significance of circumlunar return and reentry spacecraft[J]. Science China Technological Sciences. 2015, 58(4). 738-745.
[3] 杨孟飞, 张高, 张伍等. 探月三期月地高速再入返回飞行器技术设计与实现[J]. 中国科学:技术科学, 2015, 45(2): 111-123.
[4] 杨孟飞,张高,张伍等. 嫦娥六号探测器月背无人自动采样返回任务技术设计与实现[J]. 中国科学:技术科学, 2025, 55(7): 1133-1146.
[5] 孟占峰, 高珊, 汪中生等. 月地高速再入返回任务轨道设计与飞行评价[J]. 中国科学:技术科学, 2015, 45(3): 249-256.
[6] 孟占峰,高珊,彭兢等. 基于轨道任务几何的“嫦娥五号”采样区选择[J]. 深空探测学报(中英文), 2021, 8(3): 227-236.
[7] Wilson, S.W. A pseudostate theory for the approximation of three-body trajectories [R]. TRW Note No. 69-FMT-765 (11176-H304-R0-00), 1969.
[8] 孟占峰, 高珊等. 绕月自由返回轨道的应急自主制导算法[J]. 控制理论与应用, 2019, 36(12): 2005-2012.
[9] 孟占峰,高珊,彭兢等. 嫦娥五号任务月地转移轨道设计与实践[J]. 中国科学:技术科学,2021,51:859-872.
[10] 孟占峰、高珊. 一种单脉冲非共面最优近月捕获方法, 受理号: 202411371851.7.
[11] 孟占峰、高珊. 一种地月系统高精度解析快速轨道预报方法, 受理号: 202310408375.0.
[12] Byrnes, D. V. Application of the pseudostate theory to the three-body Lambert problem [J]. Journal of the Astronautical Sciences, 1989, 37: 221–232.
[13] Byrnes D V, Hooper H L. Multiconic: a fast and accurate method of computing space flight trajectories [C]. AIAA Paper, 1970: 70-1062.
[14] 孟占峰. 月球大椭圆太阳同步测控回归冻结轨道设计[J]. 航空学报, 2024, 45(18): 329926.
[15] 孟占峰. 嫦娥六号任务轨道设计技术创新与启示[J]. 中国航天,2024(7): 14-21.
[16] 刘林. 卫星轨道力学算法[M]. 南京大学出版社, 2019-06.
[17] Meng Z F, Gao S, Aoo H Y, Mission Orbit Design for the First-ever Lunar Far-side Sample Return Mission[J]. Space: Science and Technology, 2026(x): xx-xx.
[18] Giacaglia, G.E., Murphy, J.P., Felsentreger, T.L.: A semi-analytic theory for the motion of a lunar satellite. Celest. Mech. Dyn. Astron. 3(1), 3–66 (1970).
[19] Giacaglia G.E., Murphy J.P., Felsentreger T.L., The motion of a satellite of the moon: NASA-TM-X-55295[R]. Greenbelt, Maryland, NASA, 1967.
[20] Folta D, Quinn D. Lunar Frozen Orbits[J]. AIAA/AAS Astrodynamics Specialist Conference and Exhibit 21-24 August 2006, Keystone, Colorado, AIAA 2006-6749.
[21] Hujsak, R. S. Gravity acceleration approximation func-tions[J]. Advances in the Astronautical Sciences, 1996, 93(1): 335-349.
[22] Hoelker R F, Braud N J. Survey and Classification of Earth-Moon Trajectories Based on Newly Discovered Properties[R]. George C. Marshall Space Flight Center, MTP-AERO-63-39,1963.
[23] 孟占峰, 高珊, 赵峭, 张相宇. 嫦娥六号飞行方案的任务几何规划方法[J]. 中国空间科学技术, 2024(6): 1-15.