| 有心力场中质点轨道方程求解问题的讨论 |
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| 引用本文： | 陆世专,游开明,汪新文,戴志平,杨辉.有心力场中质点轨道方程求解问题的讨论[J].衡阳师范学院学报,2014(3):32-35. |
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| 作者姓名： | 陆世专 游开明 汪新文 戴志平 杨辉 |
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| 作者单位： | 衡阳师范学院物理与电子信息科学系,湖南衡阳421002 |
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| 基金项目： | 衡阳师范学院教改项目（JYKT201323）;教育部第一类特色专业建设项目（物理学,TS11635） |
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| 摘 要： | 该文介绍了用正则方程求解受平方反比引力作用的质点轨道方程的方法,推导了质点的角动量守恒定律(mh=恒量)和机械能守恒定律(E=恒量)及其轨道方程。以往用比耐公式求解质点的轨道方程,通常没有给出积分常数的具体形式。该文用E和h确定了用比耐公式法求解的积分常数。这样用比耐公式方法与用机械能守恒方法求解的轨道方程形成了统一的形式,有利于学生更深入地理解受平方反比引力作用质点运动的物理内涵。
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| 关 键 词： | 有心力场 轨道方程 比耐公式 |
Discuss about Solving of Orbit Equation of Particle in Central Force Field |
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| LU Shi-zhuan,YOU Kai-ming,WANG Xin-wen,DAI Zhi-ping,YANG Hui.Discuss about Solving of Orbit Equation of Particle in Central Force Field[J].journal of Hengyang Normal University,2014(3):32-35. |
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| Authors: | LU Shi-zhuan YOU Kai-ming WANG Xin-wen DAI Zhi-ping YANG Hui |
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| Institution: | (Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang Hunan 421002, China) |
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| Abstract: | This paper has introduced a method with the canonical equations to solve the central force problem ,derived the Law of conservation of angular momentum （mh=constant） and the Law of conservation of machinery energy （E=constant） and the orbit equation of the particle .Existing methods solving of the orbit equation with Binet equation usually do not provide a specific form of integral constants .UsedEandh ,we have determined the integral constant .So ,the orbit equation solved by methods of the Law of conservation and the Binet equation has a unified form .It is useful for students understanding of the physical meaning of particle motion in a central force field . |
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| Keywords: | central force field orbit equation Binet equation |
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