北京航空航天大学学报2026，Vol.52Issue(4)：1148-1159,12.DOI:10.13700/j.bh.1001-5965.2024.0061
四体模型下2∶1 DRO附近的拟周期轨道
Quasi-periodic orbits near 2∶1 resonant DRO in the four-body problem
摘要
Abstract
The 2∶1 resonant distant retrograde orbit(DRO),owing to its long-term stability and extensive global accessibility in the Earth-Moon space,holds strategic significance in contemporary space exploration missions.Investigations of quasi-periodic orbits near two distinct configurations of the 2∶1 DRO were carried out in the bicircular restricted four-body problem(BCR4BP)in order to better understand the phase space structure near the 2∶1 DRO and offer more parking orbit alternatives.Firstly,addressing the complexity in the numerical continuation of quasi-periodic orbits,an adaptive continuation scheme was proposed.This approach ensures the overstep of the resonance region while maintaining torus accuracy by automatically adjusting the continuation step size and the number of discrete nodes representing the torus.Based on this scheme,we computed quasi-periodic families near the 2∶1 DRO for both configurations in the BCR4BP and conducted a comprehensive analysis of their stability characteristics.The simulation results demonstrate the efficacy of the proposed method in differentiating and handling issues related to insufficient sampling orders and resonance singularities,yielding a more complete set of orbit families.关键词
远距离逆行轨道/双圆限制性四体模型/拟周期轨道/地月空间/数值延拓Key words
distant retrograde orbit/bicircular restricted four-body problem/quasi-periodic orbits/cislunar space/numerical continuation分类
航空航天引用本文复制引用
王明,杨驰航,张皓..四体模型下2∶1 DRO附近的拟周期轨道[J].北京航空航天大学学报,2026,52(4):1148-1159,12.基金项目
中国科学院战略性先导科技专项(XDA30010200) Strategic Priority Program on Space Science of the Chinese Academy of Sciences(XDA30010200) （XDA30010200）
