Wirowski, Artur2016-02-082016-02-082014Applied Mathematics and Physics, Vol. 2, No. 1, pages 19-262333-4878ISSN (online) 2333-4886http://hdl.handle.net/11652/1134http://www.sciepub.com/AMP/content/2/1The 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”.enthe miracle of the Sunfinite difference methodnon-linear vibrationsmathematical modelingArtykuł