物理与工程2025，Vol.35Issue(6)：62-66,5.
基于球坐标系下角动量定理对陀螺仪进动与章动的动力学分析
DYNAMIC ANALYSIS OF GYROSCOPE PRECESSION AND NUTATION BASED ON THE ANGULAR MOMENTUM THEOREM IN SPHERICAL COORDINATES
摘要
Abstract
The counterintuitive phenomenon of precession and nutation of gyroscopes in the gravitational field is surprising,but qualitative explanations using Cartesian coordinate sys-tems can only explain precession but not nutation,and cannot provide satisfactory answers for students in the general physics and mechanics stage.This paper derives the form of the angu-lar momentum theorem in spherical coordinates and applies it to the dynamic analysis of the precession and nutation of gyroscopes.With the help of numerical simulation methods,sever-al relationship diagrams of the gyroscope's motion quantities are given,providing students with clear dynamic images and allowing ordinary physics students to understand the complex motion of gyroscopes.This analysis method is simpler,more intuitive,and easier to under-stand than the Lagrangian mechanics method of theoretical mechanics.关键词
球坐标系/陀螺仪/进动/章动/运动分析Key words
spherical coordinates/gyroscope/precession/nutation/movement analysis引用本文复制引用
师玉荣,王广星,钟以洋,顾永建..基于球坐标系下角动量定理对陀螺仪进动与章动的动力学分析[J].物理与工程,2025,35(6):62-66,5.基金项目
中国海洋大学本科教育教学研究重点项目:理实并重、与时创新、因材施教理念下的"力学"课程建设(2024ZD08). （2024ZD08）
