This work studies the possibility of generating artificial collinear liberation points for the planar circular restricted three-body problem using Lorentz force affecting a charged spacecraft due to the magnetic field of a planet. It is considered to be a magnetic dipole inclined by angle α with the spin axis of the planet. The acceleration components for Lorentz force are first derived in an inertial planet-center coordinate system. Then, they are transformed into the rotating coordinate system of the three-body system, with the planet naturally the smaller primary in a planet-Sun system. The equations for the liberation points are derived including the charge per unit mass as the controlling parameter. Finally, the values of the charge per unit mass required for controlling the collinear liberation point positions are derived. A numerical application for the Sun-Jupiter system is introduced and the relation between the position of the artificial liberation point and the charge per unit mass is presented graphically.

中文翻译：

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受限三体问题中洛伦兹力对共线解放点的人工控制

这项工作研究了利用由于行星磁场影响带电航天器的洛伦兹力为平面圆形受限三体问题生成人工共线解放点的可能性。它被认为是倾斜角度α的磁偶极子与行星的自转轴。洛伦兹力的加速度分量首先在惯性行星中心坐标系中导出。然后，它们被转化为三体系统的旋转坐标系，行星自然是行星-太阳系中较小的初级。导出的释放点方程包括每单位质量的电荷作为控制参数。最后，导出了控制共线释放点位置所需的单位质量电荷值。介绍了太阳-木星系统的数值应用，并以图形方式呈现了人工解放点位置与单位质量电荷之间的关系。