重力梯度力矩引起的自旋稳定卫星姿态摄动

Attitude Perturbation of Spin-Stabilized Satellites Caused by Gravity Gradient Moment

建立了自旋稳定卫星姿态摄动的数值分析方法及模型,对重力梯度力矩作用下自旋卫星自旋轴相对于地心惯性系进动和章动以及赤经和赤纬的变化进行了仿真分析。对重力梯度力矩引起的自旋稳定卫星姿态摄动的演化规律进行了研究。指出在重力梯度力矩的作用下：自旋轴指向绕轨道面法线进动;章动角速度远小于进动角速度;轨道角速度越大,星体相对于地心惯性系的进动角速度和章动角速度越大,赤经和赤纬的变化率越大;自旋角速度越大,星体相对于地心惯性系的进动角速度和章动角速度越小,赤经和赤纬的变化率越小。

A mathematical model and numerical method for attitude perturbation of spin-stabilized satellites are presented.With highlight on gravity gradient moment,the precession angle,nutation angle,longitude and latitude of the spin axis in the earth-centered inertial frame are computed and analyzed.The attitude perturbation of spin-stabilized satellites caused by gravity gradient moment is studied.The paper points out that with the attitude perturbation of the gravity gradient moment,precession of the spin axis follows the normal line of the orbital plane and the nutation velocity is much smaller than the precession velocity.If the orbital velocity augments,the precession velocity and nutation velocity of the spin axis relative to the earth-centered inertial frame will increase and the longitude and latitude of the spin axis in the earth-centered inertial frame will increase.If the spin velocity augments,the rate of change of the longitude and latitude of the spin axis will decrease and the precession velocity and nutation velocity of the spin axis relative to the earth-centered inertial frame will decrease.