A new justification of criteria of necessary and sufficient conditions for maintaining stability of jupiter's rotational motion around the sun

In this paper we consider the justification of the criterion, necessary and sufficient conditions for maintaining the stability of the rotational motion of Jupiter with GRS around the Sun. For this purpose, we have to investigate the possible energy balances, which are the sources of both internal and external energy, heat formation, energy budget and energy generation of Jupiter According to the known series of facts creates intuitive questions that the long or eternal stability of the rotational motion of Jupiter around the Sun will be? What are the conditions and criteria for their fulfillment? Such a question has not yet been considered by anyone and this work is being investigated for the first time. With the help of rigorous, mathematically sound treatises to assume the stability of Jupiter's rotational motion around the Sun is proven. For this purpose, it is based on new works by the authors who have recently considered the influence of cyclones, anticyclones, and circulation and rotation factors on the stable dynamics of Jupiter's GRS, new mathematical tractates on the dynamics of the GRS on Jupiter. Based on these results, as well as previously known methods of hydrodynamics and non-classical approaches in the form of lemma, theorems are substantiated that cyclones, anticyclones, circulation and rotational motion of GRS create conditions to apply vortex motion along the closed fluid contour of GRS. Moreover, the mathematical tractates on the steady-state dynamics of GRS make it possible to use the circulation and rotational momentum theory based on the equations of hydrodynamics, the Coriolis force, through the momentum statistics, the lemma and theorems on the circulation acceleration, the vortex line conservation theorem which describes the full rotational motion dynamics of Jupiter are formulated. The very clearvoyance of the internal and external energy of Jupiter allowed proving the justification of the criterion, necessary and sufficient conditions for the conservation of stability of the rotation Jupiter.