用线性插值法求单摆运动周期的近似解

An approximate period formula of a simple pendulum derived by linear interpolation

利用线性插值的方法,提出了一个任意摆角条件下的单摆运动周期的近似公式.并利用Mathematica软件将该公式与精确解进行了比较,还与其他近似公式进行了对比.结果表明,该公式的近似程度相当好.

By using the method of linear interpolation,an approximate period formula of a simple pendulum is derived. Through the comparison with the accurate formula gotten by Mathematica and other formulae described in different journals, this formula proves to be fairly precise.