论文标题
人工卫星在地球污染作用下的运动的可控性分析
Controllability Analysis of Motion of Artificial Satellite Under the Effect of Oblateness of the Earth
论文作者
论文摘要
在本文中，我们研究了人工卫星的可控性，该元谐波$ j_2 $在圆柱极性坐标系统中的效果。已经分析了七个不同方向推进器的案例，发现如果我们以$ r $，$θ$和$ z $和$ z $或$θ$和$θ$和$ z $方向应用推进器，则该系统是可控制的。卫星运动的方程式已经进行了线性化，并应用了卡尔曼可控性测试以检查系统的可控性。我们还为线性化系统得出了控制器$ u $。已经绘制了系统的轨迹以显示系统的可控性。
In this article we have studied the controllability of artificial satellite under the effect of zonal harmonic $J_2$ in cylindrical polar coordinates systems. Seven different cases of thrusters in various directions have been analyzed and it is found that the system is controllable if we apply thrusters in either $r$, $θ$ and $z$ or $θ$ and $z$ direction. The equations governing motion of satellite have been linearized and Kalman controllability test is applied to check the controllability of the system. We have also derived controller $u$ for the linearized system. The trajectory of the system have been plotted to show the controllability of the system.
