基于幂级数解的单摆周期近似公式  

Approximate periodic formula of simple pendulum based on power series solution

作　　者：杨天虎[1,2] 岳志明 李玉宏[1,2] YANG Tianhu;YUE Zhiming;LI Yuhong(Department of New Enei^y Engineering,Jiuquan Vocational and Technical College,Jiuquan 735000,China;Key Laboratory of Solar Power System Engineering Project,Gansu Province,Jiuquan New Energy Research Institute,Jiuquan 735000,China)

机构地区：[1]酒泉职业技术学院新能源工程系,甘肃酒泉735000 [2]甘肃省太阳能发电系统工程重点实验室酒泉新能源研究院,甘肃酒泉735000

出　　处：《高师理科学刊》2020年第6期41-44,共4页Journal of Science of Teachers＇College and University

基　　金：甘肃省高等学校产业支撑引导项目(2019C-20)。

摘　　要：通过对单摆周期准确解的幂级数分析推导,给出了新的单摆周期近似公式,经MATLAB计算验证,其结果在振幅179°的范围内误差小,精度高.Based on the analysis and derivation of the power series of the exact periodic solution of simple pendulum,a new approximate formula of simple pendulum is given.MATLAB calculation proves that the formula has small error and high precision within the range of 179°.

关 键 词：单摆 椭圆积分 幂级数 

分 类 号：O313[理学—一般力学与力学基础]