A New Mathematical Justification for the Hydrodynamic Equilibrium of Jupiter

In this paper, the case of Jupiter being found in hydrodynamic equilibrium is for first time investigated solely by mathematical methods. With help method, formulas energy balance oval and vortex are found, which summed as permanent kinetic constantly provide stable rotational movements Jupiter. To find total turbulent mode, Green’s function methods with special definitions flow functions that describe movement applied. The results expressed lemmas theorems. For Jupiter, necessary sufficient conditions preservation cyclone anticyclone mentioned. relationships between angular velocity gradient pressure Corolias parameter also given. Rossby number given steady motion. These facts show existence maintaining stability motion prove using stream constructing generalized accordance conservation laws, proved.