地月空间和月球转移空间的天体动力学入门
The Astrodynamics Primer on Cislunar and Translunar Space
AI总结：
本文通过摄动理论、半解析共振制图、受限多体动力学和数值映射，统一描述了地月空间的多尺度结构，揭示了近地、地月、环月和月外区域的动力学分区与过渡。
摘要：
地月环境是多尺度且强烈非均匀的，但通常被作为一个单一的地月空间来讨论。实际上，近地空间根据摄动层次变化、网关拓扑以及在整个区域内定性不同的长期和共振结构而被划分。本文发展了该结构的统一空间描述，结合了摄动理论、半解析共振制图、受限多体动力学和直接数值映射。通过拉普拉斯半径，地月-月球转移空间的过渡被锐化，超过该半径，日月潮汐力矩取代了经典的扁率主导图像。在月球向地一侧，地月空间分为长期主导的内区和由内部月球平运动共振结构化的外区。在月球附近，环月空间形成一个由EM网关几何和月球SOI组织的独特动力学飞地。在月球之外，月球转移空间形成一个外部近地区域，其中月球作为内部摄动体，太阳仍为外部摄动体，由此产生的动力学在向日心行为减弱之前，获得了混合的日月长期和共振结构。这些结果通过MEGNO和命运分类制图在六个数值映射域上综合而成。这些映射揭示了准周期约束幸存之处，共振重叠和网关传输产生粘性停留和组织逃逸之处，以及太阳强迫成为定性建筑成分之处。与精心编录的卫星和碎片目录并列，该框架提供了这些环境的动力学地理，阐明了地月、环月和月球转移运动之间的过渡，并为解释稳定性、传输和长期地球束缚行为提供了更精确的基础。
英文摘要：
The Earth-Moon environment is multiscale and strongly nonuniform, yet it is often discussed as a single cislunar regime. In reality, circumterrestrial space is partitioned by changes in perturbation hierarchy, by gateway topology, and secular and resonant structures that differ qualitatively across the domain. This paper develops a unified spatiographic description of that structure, combining perturbative theory, semi-analytical resonance cartography, restricted multi-body dynamics, and direct numerical mapping. The terrestrial-cislunar transition is sharpened through the Laplace radius, beyond which lunisolar torques overtake the classical oblateness-dominated picture. Earthward of the Moon, cislunar space divides into a secularly dominated inner zone and an outer zone structured by interior lunar mean-motion resonances. Near the Moon, circumlunar space forms a distinct dynamical enclave organized by the EM gateway geometry and the lunar SOI. Beyond the Moon, translunar space forms an outer circumterrestrial province in which the Moon acts as an interior perturber, the Sun remains an exterior perturber, and the resulting dynamics acquire a mixed lunisolar secular and resonant architecture before weakening outward toward heliocentric behavior. These results are synthesized through MEGNO and fate-class cartographies across six numerical map domains. The maps reveal where quasiperiodic confinement survives, where resonance overlap and gateway transport produce sticky residence and organized escape, and where solar forcing becomes a qualitative architectural ingredient. Placed alongside a curated catalog of satellites and debris, the framework provides a dynamical geography of this environments that clarifies the transitions among cislunar, circumlunar, and translunar motion and offers a more precise basis for interpreting stability, transport, and long-term Earth-bound behavior.
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