Computation of halo orbits in the photogravitational Sun-Earth system with oblateness

被引：0

作者：

Rishikesh Dutta Tiwary

Badam Singh Kushvah

机构：

[1] Indian School of Mines,Department of Applied Mathematics

来源：

Astrophysics and Space Science | 2015年 / 357卷

关键词：

Restricted three body problem; Photogravitational; Oblateness; Lissajous orbits; Halo orbits;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we extend an existing approach to find the Lissajous and halo orbits around Lagrangian points L1 and L2 in the restricted three body problem with the Sun as a radiating source and the Earth as an oblate spheroid. We analyze the effects of radiation pressure and oblateness on the orbits around Libration points L1 and L2. A first guess of halo orbits is computed using Lindstedt-Poincaré method upto fourth order approximation. Due to the effect of radiation pressure and oblateness the time period increases around L1 and decreases around L2.

引用

共 47 条

[41] Two-manoeuvres transfers between LEOs and Lissajous orbits in the Earth Moon system
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ADVANCES IN SPACE RESEARCH, 2010, 45 (10) : 1276 - 1291
[42] Periodic orbits of solar sail equipped with reflectance control device in Earth–Moon system
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Astrophysics and Space Science, 2018, 363
[43] Exploiting manifolds of L1 halo orbits for end-to-end Earth-Moon low-thrust trajectory design
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[44] Periodic orbits of solar sail equipped with reflectance control device in Earth-Moon system
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ASTROPHYSICS AND SPACE SCIENCE, 2018, 363 (02)
[45] Optimal transfers from Moon to L2 halo orbit of the Earth-Moon system
Santos, L. B. T.
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de Almeida, A. K., Jr.
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ADVANCES IN SPACE RESEARCH, 2022, 70 (11) : 3362 - 3372
[46] Dynamical Substitutes and Energy Surfaces in the Bicircular Sun–Earth–Moon System\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^{\mathbf{*}}$$\end{document}
A. K. Pal
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Astronomy Letters, 2021, 47 (5) : 331 - 344
[47] Halo orbits around L1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{1}$\end{document}, L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{2}$\end{document}, and L3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{3}$\end{document} in the photogravitational Sun–Mars elliptical restricted three-body problem
Dhwani Sheth
V. O. Thomas
Astrophysics and Space Science, 2022, 367 (10)

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