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), 2019. Published by Science Publishing Group

Keywords

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

References

[1]	刘延柱.关于地月系统的拉格朗日点[J].力学与实践.2015(6):765-768.
[2]	刘媛琪，周珊羽，巩子嘉.N体问题下日地三角拉格朗日点的数据研究[J].导航定位学报.2016(12):5-11.
[3]	龚胜平，李俊峰，宝音贺西，高云峰.拉格朗日点附近编队的离散控制方法[J].宇航学报.2007(1):77-81.
[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.
[9]	郝万宏，李海涛.拉格朗日点L4,5在空间VLBI中的应用[J].深空探测研究.2009(3):30-33.
[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
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