中国物理B ›› 2006, Vol. 15 ›› Issue (5): 895-898.doi: 10.1088/1009-1963/15/5/002
汪文珑1, 楼智美2
Lou Zhi-Mei (楼智美)a, Wang Wen-Long (汪文珑)b
摘要: A direct method to find the first integral for two-dimensional autonomous system in polar coordinates is suggested. It is shown that if the equation of motion expressed by differential 1-forms for a given autonomous Hamiltonian system is multiplied by a set of multiplicative functions, then the general expression of the first integral can be obtained. An example is given to illustrate the application of the results.
中图分类号: (Lagrangian and Hamiltonian mechanics)