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Abstract：
This study explores the dynamical rotary motion of a charged axisymmetric spinning rigid body (RB) under the effect of a gyrostatic moment (GM). The influence of transverse and invariable body fixed torques (IBFTs), and an electromagnetic force field, is also considered. Euler\'s equations of motion (EOM) are utilized to derive the regulating system of motion for the problem in a suitable formulation. Due to the lack of torque exerted along the spin axis and the nearly symmetrical nature of the RB, the spin rate is nearly unchanged. Assuming slight angular deviations of the spin axis relative to a fixed direction in space, it is possible to derive approximate analytical solutions (AS) in closed form for the attitude, translational, and rotational movements. These concise solutions that are expressed in complex form are highly effective in analyzing the maneuvers performed by spinning RBs. The study focuses on deriving the AS for various variables including angular velocities, Euler\'s angles, angular momentum, transverse displacements, transverse velocities, axial displacement, and axial velocity. The graphical simulation of the subsequently obtained solutions is presented to show their precision. Furthermore, the positive impacts that alterations in the body\'s parameters have on the motion\'s behavior are presented graphically. The corresponding phase plane curves, highlighting the influence of different values in relation to the electromagnetic force field, the GM, and the IBFTs are drawn to analyze the stability of the body\'s motion. This study has a significant role in various scientific and engineering disciplines. Its importance lies in its ability to optimize mechanical systems, explain celestial motion, and enhance spacecraft performance.
摘要：
这项研究探讨了在陀螺静力矩（GM）的作用下，带电轴对称旋转刚体（RB）的动态旋转运动。横向和不变体固定扭矩(IBFTs)的影响，和电磁力场，也考虑到了。欧拉运动方程（EOM）用于以适当的公式推导问题的运动调节系统。由于缺乏沿旋转轴施加的扭矩以及RB的几乎对称的性质，自旋速率几乎不变。假设旋转轴相对于空间中的固定方向有轻微的角度偏差，可以以闭合形式导出姿态的近似解析解(AS)，翻译,和旋转运动。这些以复杂形式表达的简洁解决方案在分析通过旋转RB执行的操作方面非常有效。这项研究的重点是推导各种变量的AS，包括角速度，欧拉的角度,角动量,横向位移，横向速度，轴向位移,和轴向速度。给出了随后获得的解决方案的图形模拟，以显示它们的精度。此外，身体参数的改变对运动行为的积极影响以图形方式呈现。相应的相平面曲线，强调不同值对电磁力场的影响，GM,并绘制IBFT来分析身体运动的稳定性。这项研究在各种科学和工程学科中具有重要作用。它的重要性在于其优化机械系统的能力，解释天体运动，并提高航天器性能。
