大学物理 ›› 2015, Vol. 34 ›› Issue (8): 41-41.

• 著者文摘 • 上一篇    下一篇

周期性轨道与有心力场

熊鑫炎 邱为钢   

  1. 湖州师范学院理学院,浙江湖州313000
  • 出版日期:2015-08-25 发布日期:2015-08-20

The periodical orbits and central force field

  • Online:2015-08-25 Published:2015-08-20

摘要: 由周期性轨道的雅可比椭圆函数表达式,得到了有心力的组合势形式.这些势可以表示为径向距离幂次方的线性组合.讨论了轨道扰动后的闭合稳定性,对特定参数,画出了轨道形状.

关键词: 周期性轨道, 有心力场, 雅可比椭圆函数

Abstract: The periodical orbit in the central force fields can be expressed as Jacobi elliptical function. The central force is a line combination of powers of radius. The closeness and stability of perturbed orbit are discussed;some orbits are drawn for some special parameters.

Key words: periodical orbit, central force, Jacobi elliptical function

中图分类号: 

  • O411