在中心势场中质点圆形轨道的稳定性研究

Research on Stability of Circular Orbit of a Particle in a Central Potential Field

区别于中心势场中质点圆形轨道稳定性问题的一般研究方法,文章直接由质点运动微分方程出发导出了中心势场中的质点,在其圆形轨道附近做微小振动的微分方程,进而得出了其轨道稳定性条件和质点做微振动的周期公式,并讨论了较为常见的势场中质点运动轨道的稳定性问题,这种研究方法更为简洁,但物理内容却较为丰富.

The method is different from the common ones which we adopt to study the stability of circular orbit of a particle in a central potential field in this article.Based on the differential equation of particle motion,the differential equation that the particle with vibratiuncle follows in the central potential field is concluded here.Furthermore,the condition that its orbit is steady and the formula of the particle＇s period are obtained as well.At last we discuss the stability problem of the particle＇s orbit in the common potential field.The method we adopt is terser and its physical content is more voluminous.