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The currently accepted value for the upper limit on the photon rest mass comes from a rough estimate based on the solar wind method.We reconsider this method and present a more detailed analysis of the electromagnetic fields in interplanetary space. The simple analytic expressions for the solar wind magnetic field,electric field and current are obtained with a finite photon mass. The upper limit on the photon mass is re-estimated as mγ < 0.8 × 10-54 kg,which improves the current bound by up a factor of 2,and further confirms the reliability of the solar wind method.