Latitudinal variations of charged dust in co-orbital resonance with Jupiter

Stefanie Reiter, C. Lhotka
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Abstract

Abstract The interplanetary magnetic field may cause large amplitude changes in the orbital inclinations of charged dust particles. In order to study this effect in the case of dust grains moving in 1:1 mean motion resonance with planet Jupiter, a simplified semi-analytical model is developed to reduce the full dynamics of the system to the terms containing the information of the secular evolution dominated by the Lorentz force. It was found that while the planet causes variations in all orbital elements, the influence of the magnetic field most heavily impacts the long-term evolution of the inclination and the longitude of the ascending node. The simplified secular-resonant model recreates the oscillations in these parameters very well in comparison to the full solution, despite neglecting the influence of the magnetic field on the other orbital parameters.
带电尘埃在木星共轨道共振中的纬度变化
行星际磁场可以引起带电尘埃粒子轨道倾角的大幅度变化。为了研究尘埃颗粒与木星以1:1平均运动共振的情况下的这种效应,建立了一个简化的半解析模型,将系统的全部动力学简化为包含由洛伦兹力主导的长期演化信息的项。研究发现,虽然行星引起所有轨道要素的变化,但磁场的影响对升交点的倾角和经度的长期演变影响最大。简化的世俗共振模型忽略了磁场对其他轨道参数的影响,但与完整解相比,能很好地再现这些参数中的振荡。
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