  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.
