星间洛仑兹力编队飞行的平衡点及零速度曲面

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。

Equilibrium Points and Zero-Velocity Surfaces in the Presence of Inter-Satellite Lorentz Force

This paper studies the relative orbital motion of a charged object near a spacebornemagnetic dipole, which indicates that the Lorentz force acting on the charged object is taken into consideration. Assuming that a space station in a Keplerian circular reference orbit is capable of generating a rotating magnetic dipole (the axis of the dipole is in the direction of the orbital radius vector) and a constantly charged object moves nearby in the artificial magnetic field, a nonlinear dynamical model of the proposed relative orbital motion, which is similar to the scenario of satellite formation flying, is established based on the Hill-Clohessy-Wiltshire (HCW) equation. Moreover, we suppose that the Lorentz force acts on the charged object only and does not affect the circular reference orbit of the spaceborne magnetic dipole. Based on the system parameters such as the charge-to-mass ratio of the charged object, magnetic dipole''s moment and rotating rate, and the angular velocity of the circular reference orbit, we firstly derived system''s equilibrium points and analyzed their stabilities. Subsequently, an integral constant and the zero-velocity surfaces of the dynamical system are derived, and it is clear to show the presence of bounded orbits around the magnetic dipole and transient orbits through equilibrium points. The flight mechanics of presented relative orbital motion, including equilibrium points andzero-velocity surfaces, reveals prospects of potential applications for proximity operations to a wide range of charged space objects.