受限三体问题的逃逸判据

IF 2.8 3区地球科学 Q2 ASTRONOMY & ASTROPHYSICS

Advances in Space Research Pub Date : 2025-02-13 DOI:10.1016/j.asr.2025.02.017

Shuyue Fu , Shengping Gong

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引用次数: 0

摘要

本文研究了适用于受限三体问题的逃逸准则。首先以地月平面圆形受限三体问题为例，介绍和分析了前人研究的逃逸准则。其次，介绍了试验体的能量作为逃逸的关键指标。基于测试体能量与两体能量相对于地月质心的近似关系，从理论上推导了地月平面圆形受限三体问题中确定逃逸轨迹的条件。然后将该准则转化为弹道仿真的数值条件。数值模拟结果表明，所提出的准则能比以往的方法更准确地识别出逃逸轨迹。最后，介绍了该准则在识别自然和人工逃逸轨迹中的应用。

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Escape criterion for restricted three-body problem

In this study, we investigate escape criterion suitable for the restricted three-body problem. First, the Earth-Moon planar circular restricted three-body problem is used as an example, and the escape criteria developed in previous works are presented and analyzed. Next, the energy of a test body is introduced as a key indicator for escape. A condition for identifying escape trajectories in the Earth-Moon planar circular restricted three-body problem is theoretically derived, based on an approximate relationship between the energy of the test body and the two-body energy with respect to the Earth-Moon barycenter. The proposed criterion is then transformed into numerical conditions for trajectory simulations. Numerical simulations verify that the proposed criterion can identify escape trajectories more accurately than those developed in previous works. Finally, the application of this criterion in identifying the natural and artificial escape trajectories is presented.

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来源期刊

Advances in Space Research 地学天文-地球科学综合

CiteScore

5.20

自引率

11.50%

发文量

800

审稿时长

5.8 months

期刊介绍： The COSPAR publication Advances in Space Research (ASR) is an open journal covering all areas of space research including: space studies of the Earth''s surface, meteorology, climate, the Earth-Moon system, planets and small bodies of the solar system, upper atmospheres, ionospheres and magnetospheres of the Earth and planets including reference atmospheres, space plasmas in the solar system, astrophysics from space, materials sciences in space, fundamental physics in space, space debris, space weather, Earth observations of space phenomena, etc. NB: Please note that manuscripts related to life sciences as related to space are no more accepted for submission to Advances in Space Research. Such manuscripts should now be submitted to the new COSPAR Journal Life Sciences in Space Research (LSSR). All submissions are reviewed by two scientists in the field. COSPAR is an interdisciplinary scientific organization concerned with the progress of space research on an international scale. Operating under the rules of ICSU, COSPAR ignores political considerations and considers all questions solely from the scientific viewpoint.