物体作圆锥曲线运动的时间计算

A calculation of time for a object making conic

在比耐公式的基础上导出了物体在受到与距离平方成反比的有心力作用下的轨道方程.系统阐述了物体作圆锥曲线运动的时间计算问题,并给出了物体作圆、椭圆、抛物线、双曲线运动的时间计算公式.对于双曲线的情况,同时给出了引力和斥力作用下的时间计算公式.

On the basis of the Binet Equation,an orbital equation are educed when the object moves under central force that is inversely proportional to square of distance.This system describs the time calculative issues when the object makes conic movement and gives the time calculative formulae when the object moves in a circular orbit,elliptical orbit and parabolic orbit,hyperbolic orbit.For the hyperbolic case,the time calculative formula was given when the object is under gravity and repulsion at the same time.