教学讨论

独辟蹊径——有心引力场天体运动的系统研究

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  • 华中师范大学化学学院,湖北; 武汉430070
周游(1995—),男,湖北黄冈人,华中师范大学化学学院有机化学博士研究生,主要研究有机合成方法学、力学和天体力学.

收稿日期: 2021-09-03

  修回日期: 2021-12-09

  网络出版日期: 2022-09-13

Systematic research on the movement of celestial bodies in the central gravitational field

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  • College of Chemistry, Central China Normal University, Wuhan Hubei 430079, China

Received date: 2021-09-03

  Revised date: 2021-12-09

  Online published: 2022-09-13

摘要

天体绕中心天体的运动是研究两个可以视为质点的天体在万有引力作用下的动力学问题,也是天体力学中最基本的二体问题,因此它具有很重要的意义. 本文独辟蹊径地利用守恒原理简便解决了有心力场运动问题,系统地研究了绕中心天体运动的天体运行轨迹、运行速度和运行时间,建立了轨道离心率、位置坐标和运行速度、运行时间的代数关系. 同时推导出的公式通过了哈雷彗星轨道的实际检验,显示出良好的精确性.

本文引用格式

周游, 俞潇潇 . 独辟蹊径——有心引力场天体运动的系统研究[J]. 大学物理, 2022 , 41(8) : 10 . DOI: 10.16854/j.cnki.1000-0712.210450

Abstract

The motion of a celestial body around a central celestial body is to study the dynamics of two celestial bodies that can be regarded as particles under the action of universal gravitation. It is also the basic two body problem in celestial mechanics. Therefore, it is of great significance. In this paper, the motion of the central force field is simply solved by using the principle of conservation of mechanical energy. The orbit, speed and time of the celestial body moving around the central celestial body are systematically studied. The algebraic relations of orbit eccentricity, position coordinates, speed and time are established for the first time. At the same time, the derived formula has also passed the actual test of the orbit of Halley's comet, showing good accuracy.
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