摘要
文章基于比耐(Binet)公式和近日点的机械能导出轨道离心率e和机械能E之间的关系式,同时还推导了不同轨道上质点机械能E的表达式.该方法通俗易懂,避免了复杂的积分运算,便于学生更好地理解中心力场质点轨道运动的问题.
The article derives the relation between the eccentricity e and mechanical E on the Binet formula and the mechanical energy of the perihelion, and also derives the formula of the particle' s mechanical energy E in different orbit. This method is easy to understand, avoiding the complex integral operation, and enhance students' understanding of the problem.
出处
《海南师范大学学报(自然科学版)》
CAS
2017年第3期339-343,共5页
Journal of Hainan Normal University(Natural Science)
基金
海南省自然科学基金(20165196)
关键词
有心力场
离心率
机械能
比耐公式
圆锥曲线
central force field
eccentricity
mechanical energy
Binet formula
conic section