摘要
本文简略叙述前人的两种方法,即用变分法推导和求解质点运动微分方程,此外,作者用新途径──微分几何方法求解矢量式运动微分方程,从而得到行星轨迹曲线的曲率公式,并将此公式与前人所求公式作一个比较。同时运用此公式,求出地球同步卫星离地面的高度及第一宇宙速度。
This paper gives a brief account of 2 methods to deduct and solve thedifferential equation of the particle motion by variational deduction. The author also usesanew method, differential qcometry, to solve the differential vector equation of motionand, from this,the formula for the currature of the planet orbit is deducted and a com-parison between above mentioned formula and the one deducted before is made.By using the formula the author also deducted the height of the svnchronous satelliteand the first universal speed to show the practical value ofthe formula.
出处
《云南民族大学学报(自然科学版)》
CAS
1995年第1期30-35,共6页
Journal of Yunnan Minzu University:Natural Sciences Edition
关键词
欧拉方程
质点运动微分方程
圆锥曲线
曲率
曲率半径
Eulers equation differential equation of thepartick motion conic sectioncurvature rnclius of curvature