发表机构
University of California, Irvine(加州大学尔湾分校)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
针对地月垂直轨道,开发了端到端高保真基准生成框架,经5年蒙特卡洛模拟验证其可维持,结合李雅普诺夫指数分析解释了位置保持行为,可用于高纬度月球观测与地月导航。
AI 中文摘要
地月垂直轨道是圆型限制性三体问题(CR3BP)的周期解,具有显著的面外运动,可用于高纬度月球观测和地月空间导航。本研究开发了一种端到端框架,用于在旋转坐标系几何约束和后退时域模型预测控制下生成高保真基准。代表性L₂垂直轨道生成了一个5.5年的基准,其确定性修正可忽略,在现实不确定性下的5年蒙特卡洛模拟中仍可维持。该工作流程在90个连续每日起始历元和200个编目案例中生成了局部最优解,沿基准的有限时间李雅普诺夫指数及稳定/不稳定CR3BP方向解释了位置保持行为。
英文摘要
Earth-Moon vertical orbits are periodic solutions of the circular restricted three-body problem (CR3BP) with substantial out-of-plane motion, considered for high-latitude lunar observation and cislunar navigation. This work develops an end-to-end framework for high-fidelity reference generation under rotating-frame geometry constraints and receding-horizon model predictive control. A representative $L_2$ vertical orbit yields a 5.5-year reference with negligible deterministic correction and remains maintainable in five-year Monte Carlo simulations under realistic uncertainties. The workflow produces locally optimal solutions across 90 consecutive daily start epochs and 200 catalog cases. Finite-Time Lyapunov Exponent along the reference and stable/unstable CR3BP directions interpret station-keeping behavior.
Comments20 pages, 11 figures, 7 tables. Submitted to the 2027 AAS/AIAA Space Flight Mechanics Meeting