Lagrangian vs Hamiltonian: The best approach to relativistic orbits

Richard H. Price; Kip S. Thorne

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Lagrangian vs Hamiltonian: The best approach to relativistic orbits

机译：拉格朗日与汉密尔顿人：相对论轨道的最佳方法

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摘要

In introductory general relativity courses, free particle trajectories, such as astronomical orbits, are generally developed via a Lagrangian and variational calculus, so that physical examples can precede the mathematics of tensor calculus. The use of a Hamiltonian is viewed as more advanced and typically comes later if at all. We suggest here that this might not be the optimal order in a first course in general relativity, especially if orbits are to be solved with numerical methods. We discuss some of the issues that arise in both the Lagrangian and Hamiltonian approaches.

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来源
《American journal of physics》 |2018年第9期|共5页
作者
Richard H. Price; Kip S. Thorne;
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作者单位

Department of Physics MIT 77 Massachusetts Avenue;

California Institute of Technology Pasadena;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
General relativity; Education; Artificial intelligence; Geodesy; Vector calculus; Calculus of variations; Numerical integration; Hamiltonian mechanics; Differential geometry; Rigid body dynamics;

机译：一般相对论;教育;人工智能;大地测微积分;变化计算;数值集成;哈密尔顿力学;差异几何;刚性身体动力学;

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Lagrangian vs Hamiltonian: The best approach to relativistic orbits

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