Analysis of Hermites equation governing the motion of damped pendulum with small displacement

[摘要] This paper investigates simple pendulum dynamics, putting damping into consideration. The investigation begins with Newton’s second law of motion. The second order differential equation governing the motion of a damped simple pendulum is written in form of Hermite’s differential equation and general solution obtained by means of power series. The results obtained are in agreement with the existing ones, and converge fast.

[学科分类] 物理（综合）

[关键词] Pendulum;Hermite’s equation;dynamics;damping;angular displacement.