Initial Parameter Analysis about Resonant Orbits in Earth-Moon System

Initial Parameter Analysis about Resonant Orbits in Earth-Moon System

The initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are...

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Main Authors: Li-Bo Liu, Ying-Jing Qian, Xiao-Dong Yang
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Advances in Astronomy
Online Access:http://dx.doi.org/10.1155/2019/6324901
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spelling doaj-32a3446017514070a7674e7fca55fa292020-11-25T02:45:08ZengHindawi LimitedAdvances in Astronomy1687-79691687-79772019-01-01201910.1155/2019/63249016324901Initial Parameter Analysis about Resonant Orbits in Earth-Moon SystemLi-Bo Liu0Ying-Jing Qian1Xiao-Dong Yang2Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaThe initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are two important initial parameters of resonant orbits that affect the closest distance between the spacecraft and the Moon. Potential resonant transition or resonant flyby may occur depending on the possibility of the spacecraft approaching the Moon. Based on an analysis of ballistic capture and flyby, the Kepler energy and the planet’s perturbed gravitational sphere are used as criteria to establish connections between the initial parameters and the possible “steady” resonant orbits. The initial parameter intervals that can cause instability of the resonant orbits in the CRTBP are obtained. Examples of resonant orbits in 1:2 and 2:1 resonances are provided to verify the proposed criteria.http://dx.doi.org/10.1155/2019/6324901
collection DOAJ
language English
format Article
sources DOAJ
author Li-Bo Liu
Ying-Jing Qian
Xiao-Dong Yang
spellingShingle Li-Bo Liu
Ying-Jing Qian
Xiao-Dong Yang
Initial Parameter Analysis about Resonant Orbits in Earth-Moon System
Advances in Astronomy
author_facet Li-Bo Liu
Ying-Jing Qian
Xiao-Dong Yang
author_sort Li-Bo Liu
title Initial Parameter Analysis about Resonant Orbits in Earth-Moon System
title_short Initial Parameter Analysis about Resonant Orbits in Earth-Moon System
title_full Initial Parameter Analysis about Resonant Orbits in Earth-Moon System
title_fullStr Initial Parameter Analysis about Resonant Orbits in Earth-Moon System
title_full_unstemmed Initial Parameter Analysis about Resonant Orbits in Earth-Moon System
title_sort initial parameter analysis about resonant orbits in earth-moon system
publisher Hindawi Limited
series Advances in Astronomy
issn 1687-7969
1687-7977
publishDate 2019-01-01
description The initial parameters about resonant orbits in the Earth-Moon system were investigated in this study. Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are two important initial parameters of resonant orbits that affect the closest distance between the spacecraft and the Moon. Potential resonant transition or resonant flyby may occur depending on the possibility of the spacecraft approaching the Moon. Based on an analysis of ballistic capture and flyby, the Kepler energy and the planet’s perturbed gravitational sphere are used as criteria to establish connections between the initial parameters and the possible “steady” resonant orbits. The initial parameter intervals that can cause instability of the resonant orbits in the CRTBP are obtained. Examples of resonant orbits in 1:2 and 2:1 resonances are provided to verify the proposed criteria.
url http://dx.doi.org/10.1155/2019/6324901
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AT yingjingqian initialparameteranalysisaboutresonantorbitsinearthmoonsystem
AT xiaodongyang initialparameteranalysisaboutresonantorbitsinearthmoonsystem
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