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提出了一种新的利用星间洛仑兹力控制卫星相对运动的方法:使主星产生自旋磁场,副星带电,通过控制副星所受的星间洛仑兹力进行编队。假设主星产生的人造磁场表现为偶极子并且运动在一条开普勒圆形轨道上,副星恒定带电并在主星附近运动,同时假设星间洛仑兹力只影响副星的运动而不影响主星的运动。推导了副星在主星HCW(当地垂直当地地平坐标系)坐标系下的相对运动动力学方程。针对偶极子与HCW坐标轴X轴重合的情况下,推导了动力系统下的平衡点(并采用稳定性分析方法分析其线性化意义下的稳定性)、积分常数和零速度曲面,证明了有界相对运动的存在。最后用数值仿真验证了上述结论。
A new method of controlling the relative motion of satellites by utilizing the Lorentz forces is proposed. The method generates the spin magnetic field of the main star and charges the sub-star and forms the formation by controlling the Lorentz force between the stars. Suppose that the artificial magnetic field produced by the main star appears as a dipole and moves in a Keplerian circular orbit, the auxiliary stars are charged constantly and move around the main star, and the Lorentz force between stars only affects the movement of the auxiliary stars without affecting Movement of the main star. The kinematic equations of relative motion of the satellite in the coordinate system of main star HCW (the local vertical local coordinate system) are deduced. Under the condition that the dipole coincides with the X-axis of the HCW coordinate axis, the equilibrium point under the dynamical system is derived (and the stability under linearization is analyzed by the stability analysis method), the integral constant and the zero velocity surface, The existence of bounded relative movement. Finally, the above conclusion is verified by numerical simulation.