Relative Orbital Motion of a Charged Object Near a Spaceborne Radially Directed Rotating Magnetic Dipole
Relative Orbital Motion of a Charged Object Near a Spaceborne Radially Directed Rotating Magnetic Dipole
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DOI：
10.1109/taes.2021.3117067
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发表时间：
2022-04
影响因子：
4.4
通讯作者：
Chao Peng;Zhengfan Zhu;Hao Zhang;Changxuan Wen
中科院分区：
文献类型：
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作者：
Chao Peng;Zhengfan Zhu;Hao Zhang;Changxuan Wen
考虑星间洛伦兹力的影响，研究了星载磁偶极子附近带电物体的相对轨道运动。假设参考点被约束在圆形参考轨道上，主卫星和常带电物体靠近参考点运动。在假设主星产生旋转磁偶极子（偶极子轴向与参考轨道半径矢量方向一致），带电物体在人造磁场中近距离运动的条件下，基于Hill-Clohessy-Wiltshire方程建立了该相对运动的非线性动力学模型.我们首先推导出系统的平衡点，并分析其稳定性的基础上的系统参数，如荷质比的带电物体，磁偶极子的力矩和旋转速率，参考轨道的角速度。所有的平衡点被分为10种情况，并根据它们的稳定性特征描述了它们的子流形的结构（它决定了平衡点附近的稳定和不稳定行为）。此外，还导出了这十种情形的充要条件，并详细描述了平衡点附近的周期轨道。随后，在动力系统中的积分常数和零速度表面推导出有界轨道周围的磁偶极子和瞬态轨道，通过平衡点。所提出的相对轨道运动的飞行力学，包括平衡点，周期轨道，有界轨道，和瞬态轨道，揭示了潜在的应用前景的近距离操作到广泛的带电空间物体。
The relative orbital motion of a charged object near a spaceborne magnetic dipole is presented in this article, where the intersatellite Lorentz force is taken into consideration. Assuming that a reference point is constrained in a circular reference orbit, a chief satellite and a constantly charged object move close to the reference point. Under the assumptions that the chief satellite generates a rotating magnetic dipole (the axis of the dipole is in the direction of the reference orbital radius vector) and the charged object moves nearby in the artificial magnetic field, a nonlinear dynamical model of the proposed relative motion is established based on the Hill–Clohessy–Wiltshire equation. We first derive the system’s equilibrium points and analyze their stabilities based on the system parameters, such as the charge-to-mass ratio of the charged object, the moment and rotating rate of the magnetic dipole, and the angular velocity of the reference orbit. All of the equilibrium points are classified into ten cases, and their structures of the submanifold (which determine the stable and unstable behaviors near the equilibrium points) are described according to their stability characteristics. In addition, the necessary and sufficient conditions for the ten cases are derived, and the periodic orbits near the equilibrium points are depicted in detail. Subsequently, an integral constant and zero-velocity surfaces in the dynamical system are derived to present the bounded orbits around the magnetic dipole and the transient orbits that travel through the equilibrium points. The flight mechanics of the presented relative orbital motion, including equilibrium points, periodic orbits, bounded orbits, and transient orbits, reveals the prospects of potential applications for proximity operations to a wide range of charged space objects.