Short-Term Lagrangian Points and Research Using Elementary Methods

Huang Shaoshu; Wu Shouchong; Huang Xu

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Short-Term Lagrangian Points and Research Using Elementary Methods

Huang Shaoshu, Wu Shouchong, Huang Xu

Published in Asia-Pacific Journal of Physics (Volume 1, Issue 1)

Received: 21 February 2019 Accepted: 2 April 2019 Published: 13 April 2019

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Abstract

Since Euler and Lagrange have calculated and proved that the three-body problem in the celestial movement has the so-called Lagrangian point, the human study of the Lagrange point has not stopped. Lagrange points have a pivotal strategic position in aerospace engineering, so the calculation of Lagrange points also has important scientific significance. In this paper, we establish a simplified model of the circular motion of the binary system, and use the elementary method to roughly calculate the position of the five Lagrangian points of the Earth-Month system, and through computational studies, we believe that there are only four Lagers in the binary system with equal or similar mass. Lange point.

Published in	Asia-Pacific Journal of Physics (Volume 1, Issue 1)
Page(s)	13-17
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Elementary Method, Simplified Calculation, Lagrangian Point, 5 Lagrangian Points, 4 Lagrangian Points

References

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[4]	卢松涛，赵育善.太阳辐射对ER3BP拉格朗日点的影响[J].飞行学报.2009(10):70-74.
[5]	尤政，李滨，董哲.日地系统拉格朗日点航天器编队飞行现状与关键技术[J].中国航天.2005(7):27-31.
[6]	刘永丰，明平剑，张文平，朱明刚，倪大明.一种固定网格上拉格朗日点追踪的快速算法[J].计算物理.2010(7):527-532.
[7]	刘建忠.日-地系拉格朗日点任务及其转移轨道设计方法[J].导弹与航天运载技术.2009(1):7-10.
[8]	龚胜平，李俊峰，宝音贺西.人工拉格朗日点附近的被动稳定飞行[J].宇航学报.2007(5):633-636.
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[10]	何芸，刘旗，田伟，段会宗，叶贤基，范淑华，李语强.地月第二拉格朗日点微信激光测距技术研究[J].深空探测学报.2017(4):130-137.
[11]	胡先进，李力.简明推导“三角拉格朗日点”的新方法[J].物理教师.2013(5):54-55.

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Huang Shaoshu, Wu Shouchong, Huang Xu. (2019). Short-Term Lagrangian Points and Research Using Elementary Methods. Asia-Pacific Journal of Physics, 1(1), 13-17.

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ACS Style

Huang Shaoshu; Wu Shouchong; Huang Xu. Short-Term Lagrangian Points and Research Using Elementary Methods. Asia-Pac. J. Phys. 2019, 1(1), 13-17.

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AMA Style

Huang Shaoshu, Wu Shouchong, Huang Xu. Short-Term Lagrangian Points and Research Using Elementary Methods. Asia-Pac J Phys. 2019;1(1):13-17.

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@article{10037702,
  author = {Huang Shaoshu and Wu Shouchong and Huang Xu},
  title = {Short-Term Lagrangian Points and Research Using Elementary Methods},
  journal = {Asia-Pacific Journal of Physics},
  volume = {1},
  number = {1},
  pages = {13-17},
  url = {https://www.sciencepublishinggroup.com/article/10037702},
  abstract = {Since Euler and Lagrange have calculated and proved that the three-body problem in the celestial movement has the so-called Lagrangian point, the human study of the Lagrange point has not stopped. Lagrange points have a pivotal strategic position in aerospace engineering, so the calculation of Lagrange points also has important scientific significance. In this paper, we establish a simplified model of the circular motion of the binary system, and use the elementary method to roughly calculate the position of the five Lagrangian points of the Earth-Month system, and through computational studies, we believe that there are only four Lagers in the binary system with equal or similar mass. Lange point.},
 year = {2019}
}

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TY  - JOUR
T1  - Short-Term Lagrangian Points and Research Using Elementary Methods
AU  - Huang Shaoshu
AU  - Wu Shouchong
AU  - Huang Xu
Y1  - 2019/04/13
PY  - 2019
T2  - Asia-Pacific Journal of Physics
JF  - Asia-Pacific Journal of Physics
JO  - Asia-Pacific Journal of Physics
SP  - 13
EP  - 17
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10037702
AB  - Since Euler and Lagrange have calculated and proved that the three-body problem in the celestial movement has the so-called Lagrangian point, the human study of the Lagrange point has not stopped. Lagrange points have a pivotal strategic position in aerospace engineering, so the calculation of Lagrange points also has important scientific significance. In this paper, we establish a simplified model of the circular motion of the binary system, and use the elementary method to roughly calculate the position of the five Lagrangian points of the Earth-Month system, and through computational studies, we believe that there are only four Lagers in the binary system with equal or similar mass. Lange point.
VL  - 1
IS  - 1
ER  -

Copy | Download

Author Information

Huang Shaoshu

School of Mathematics and Physics, Anshun College, Anshun, China; Education Center, No. 23 Middle School, Liupanshui, China
Wu Shouchong

Education Center, No. 23 Middle School, Liupanshui, China
Huang Xu

Education Center, No. 23 Middle School, Liupanshui, China

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Plain Text BibTeX RIS

APA Style

Huang Shaoshu, Wu Shouchong, Huang Xu. (2019). Short-Term Lagrangian Points and Research Using Elementary Methods. Asia-Pacific Journal of Physics, 1(1), 13-17.

Copy | Download

ACS Style

Huang Shaoshu; Wu Shouchong; Huang Xu. Short-Term Lagrangian Points and Research Using Elementary Methods. Asia-Pac. J. Phys. 2019, 1(1), 13-17.

Copy | Download

AMA Style

Huang Shaoshu, Wu Shouchong, Huang Xu. Short-Term Lagrangian Points and Research Using Elementary Methods. Asia-Pac J Phys. 2019;1(1):13-17.

Copy | Download

@article{10037702,
  author = {Huang Shaoshu and Wu Shouchong and Huang Xu},
  title = {Short-Term Lagrangian Points and Research Using Elementary Methods},
  journal = {Asia-Pacific Journal of Physics},
  volume = {1},
  number = {1},
  pages = {13-17},
  url = {https://www.sciencepublishinggroup.com/article/10037702},
  abstract = {Since Euler and Lagrange have calculated and proved that the three-body problem in the celestial movement has the so-called Lagrangian point, the human study of the Lagrange point has not stopped. Lagrange points have a pivotal strategic position in aerospace engineering, so the calculation of Lagrange points also has important scientific significance. In this paper, we establish a simplified model of the circular motion of the binary system, and use the elementary method to roughly calculate the position of the five Lagrangian points of the Earth-Month system, and through computational studies, we believe that there are only four Lagers in the binary system with equal or similar mass. Lange point.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Short-Term Lagrangian Points and Research Using Elementary Methods
AU  - Huang Shaoshu
AU  - Wu Shouchong
AU  - Huang Xu
Y1  - 2019/04/13
PY  - 2019
T2  - Asia-Pacific Journal of Physics
JF  - Asia-Pacific Journal of Physics
JO  - Asia-Pacific Journal of Physics
SP  - 13
EP  - 17
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10037702
AB  - Since Euler and Lagrange have calculated and proved that the three-body problem in the celestial movement has the so-called Lagrangian point, the human study of the Lagrange point has not stopped. Lagrange points have a pivotal strategic position in aerospace engineering, so the calculation of Lagrange points also has important scientific significance. In this paper, we establish a simplified model of the circular motion of the binary system, and use the elementary method to roughly calculate the position of the five Lagrangian points of the Earth-Month system, and through computational studies, we believe that there are only four Lagers in the binary system with equal or similar mass. Lange point.
VL  - 1
IS  - 1
ER  -

Copy | Download