We investigate the dynamics of charged dust close to outer mean-motion resonances with planet Jupiter. The importance of the interplanetary magnetic field on the orbital evolution of dust is clearly demonstrated. New dynamical phenomena are found that do not exist in the classical problem of uncharged dust. We find changes in the orientation of the orbital planes of dust particles, an increased amount of chaotic orbital motions, sudden 'jumps' in the resonant argument, and a decrease in time of temporary capture due to the Lorentz force. Variations in the orbital planes of dust grain orbits are found to be related to the angle between the orbital angular momentum and magnetic axes of the heliospheric field and the rotation rate of the Sun. These variations are bound using a simplified model derived from the full dynamical problem using first order averaging theory. It is found that the interplanetary magnetic field does not affect the capture process, that is still dominated by the other non-gravitational forces. Our study is based on a dynamical model in the framework of the inclined circular restricted three-body problem. Additional forces include solar radiation pressure, solar wind drag, the Poynting-Robertson effect, and the influence of a Parker spiral type interplanetary magnetic field model. The analytical estimates are derived on the basis of Gauss' form of planetary equations of motion. Numerical results are obtained by simulations of dust grain orbits together with the system of variational equations. Chaotic regions in phase space are revealed by means of Fast Lyapunov Chaos Indicators.

中文翻译：

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靠近日球层外部平均运动共振的带电尘埃

我们研究了靠近木星外部平均运动共振的带电尘埃的动力学。清楚地证明了行星际磁场对尘埃轨道演化的重要性。发现了在经典的不带电尘埃问题中不存在的新动力学现象。我们发现尘埃粒子轨道平面的方向发生了变化，混乱的轨道运动量增加，共振论证中的突然“跳跃”，以及由于洛伦兹力导致的临时捕获时间减少。发现尘埃颗粒轨道轨道平面的变化与太阳圈场的轨道角动量和磁轴之间的夹角以及太阳的自转速率有关。这些变化使用从使用一阶平均理论的完全动态问题导出的简化模型来约束。发现行星际磁场不影响俘获过程，仍受其他非引力作用支配。我们的研究基于倾斜圆形受限三体问题框架内的动力学模型。其他力包括太阳辐射压力、太阳风阻力、波印廷-罗伯逊效应和帕克螺旋型行星际磁场模型的影响。分析估计是根据高斯行星运动方程的形式得出的。数值结果是通过模拟尘埃颗粒轨道和变分方程组获得的。