Tadpole type motion of charged dust in the Lagrange problem with planet Jupiter

TL;DR

This paper studies the complex motion of charged dust particles near Jupiter, considering electromagnetic and non-gravitational forces, revealing how these factors influence dust resonance locations and librational regimes.

Contribution

It extends the classical gravitational resonance analysis by incorporating electromagnetic effects and non-gravitational forces on charged dust near Jupiter.

Findings

Shifted resonance locations near Jupiter's L4 and L5 points.

Extended librational regimes due to electromagnetic effects.

Quantified resonance width dependence on dust properties.

Abstract

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 L4 and L5 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.