部分充液球形中心贮箱的旋转卫星系统的运动分析

本文分析并计算了半充液球形贮箱内的液体晃动问题。以流体运动的基本方程和系统运动的Euler方程为基础,用特征函数展开法计算出液体的速度场,并在此基础上估算液体的能量耗散率及章动角的时间常数。 

Study of Motion of Spinning Satellite with Spherical Tank on Center Partially Filled with Liquid

The problem of liquid sloshing in a partially filled spinning spherical tank is analyzed in this paper.The governing equations are basic equations of fluid and Euler equations of system.By using of a series of eigenfunctions the velocity field of fluid are calculated,based on which energy dissipation in fluid and time constant of nutation angle are estimated.