We investigate the dynamics of charged dust interacting with the interplanetary magnetic field in a Parker spiral type model and subject to the solar wind and Poynting–Robertson​ effect in the vicinity of the 1:1 mean motion resonance with planet Jupiter. We estimate the shifts of the location of the minimum libration amplitude solutions close to the location of the $L_4$ and $L_5$ points of the classical – gravitational – problem and provide the extension of the ‘librational regimes of motion’ and the width of the resonance in dependency of the nongravitational parameters related to the dust grain size and surface potential of the particles. Our study is based on numerical simulations in the framework of the spatial, elliptic restricted three-body problem and semi-analytical estimates obtained by averaging of Gauss’ planetary equations of motion.

我们在帕克螺旋型模型中研究了带电尘埃与行星际磁场相互作用的动力学，并在与木星 1:1 平均运动共振附近受太阳风和波印廷-罗伯逊效应影响。我们估计最小振动幅度解的位置的偏移接近于${升}_4$ 和 ${升}_5$经典 - 重力 - 问题的要点，并提供了“运动的振动状态”的扩展和共振的宽度，这取决于与尘埃颗粒大小和颗粒表面电位相关的非重力参数。我们的研究基于空间、椭圆受限三体问题框架内的数值模拟和通过平均高斯行星运动方程获得的半解析估计。