Science and Education Publishing Applied Mathematics and Physics 2 1 2014 02 07 The Dynamic Behavior of the Electrically Charged Cloud of the Ice Crystals 19 26 EN Artur Wirowski Department of Structural Mechanic, Technical University of Lodz, Lodz, Poland AMP2014216 10.12691/amp-2-1-6 2013 11 30 2014 01 18 2014 02 07 The paper includes the derivation of the equation of the two-dimensional, dynamic behavior of electrically charged cloud of ice crystals. A large crystal rotation angles and a continuous distribution of charges on the surface of the crystals are included in deliberations. Finally, possible solutions of model equation are discussed and compared with solutions available in the literature. The resulting model can be used as a mechanical basis for optic models of the atmospheric phenomenon called the “miracle of the sun”.