Potentials of a moving test charge during the solar wind interaction with dusty magnetosphere of Jupiter

The electrostatic Debye screening and wakefield potentials caused by a test charge are investigated in a positively charged dusty plasma. A modified dielectric constant of the dust-acoustic waves to account for the beam electrons and protons from solar wind is employed and analyzed the electrostatic potentials both analytically and numerically. This model is essentially applied to Jupiter's magnetosphere that contains positively charged dust grains, Maxwellian electrons and ions, as well as solar wind streaming electrons and protons. The normalized Debye potential decreases exponentially by variation of axial distance while the normalized wakefield potential is strongly influenced by the plasma temperatures and streaming speeds of solar wind electrons and protons.