任意幂律引力作用下质点的运动轨道问题

摘要

采用龙格‐库塔法研究与距离成任意幂律的引力作用下质点的运动轨道，以及受特殊微扰力作用下物体运动的轨道问题。给出了质点在近圆轨道运动中的近似拱心角计算公式，并且通过质点沿近圆轨道运动时拱心角的数值计算结果加以验证。以上研究对有心力问题的教学与科研具有一定的参考价值。%The Runge‐Kutta method is used to study the motion track of particle acted by the central force with arbitrary power .Furthermore ,the motion track of object is studied consider‐ing the perturbation .The apsidal‐angle formula of object moving on a roughly circular orbit is obtained ,and then the correctness of the derived formula is verified by numerical calculation results .T he research has a certain reference value in teaching and scientific research on the central force .