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幂律引力作用下从拱点抛出质点的运动轨道
引用本文:那仁满都拉,乌恩宝音. 幂律引力作用下从拱点抛出质点的运动轨道[J]. 大学物理, 1999, 18(4): 13-14,31
作者姓名:那仁满都拉  乌恩宝音
作者单位:内蒙古民族师范学院物理系,通辽,028043
摘    要:用把方程的解设为余弦函数多项式的一种直接方法,求解了受幂律引力作用的质点一类非线性轨道微分方程,从而得出在幂律引力作用下从拱点抛出质点的运动轨道是正弦螺线。

关 键 词:余弦函数多项式  非线性轨道微分方程  正弦螺线

ORBIT OF A PARTICLE EJECTED FROM APSIS EXERTED BY CENTRAL FORCE FOLLOWING POWER LAW
B. Naranmandula,H. Wunenboyn. ORBIT OF A PARTICLE EJECTED FROM APSIS EXERTED BY CENTRAL FORCE FOLLOWING POWER LAW[J]. College Physics, 1999, 18(4): 13-14,31
Authors:B. Naranmandula  H. Wunenboyn
Abstract:Using a direct method regarding solution of a equation as a polynomial of cosine, a kind of nonlinear orbital differential equation of a particle exerted by attractive central force following power law is solved. It is pointed out that the orbit of a particle ejected from apsis is a sine spiral.
Keywords:polynomial of cosine  nonlinear orbital differential equation  sine spiral
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