Multiple authors have previously expressed in the literature the hypotheses that a cosmic energy source could exist in the depths of Earth and other cosmic bodies based on theoretical considerations. Our comparisons of the properties of «space heaters» postulated by theoretical physicist with the properties of the non-radiogenic part of the heat release in the depths of the planets observed in geology and planetology show that a cosmic energy source could exist in the depths of Earth and other cosmic bodies with high probability. Besides radiogenic energy, the «supplementary» energy source occurs in the planetary interior. We considered the influence of supposed planet non-radiogenic energy source of cosmic (galactic) origin on the process of mutual displacements of planetary shells on the example of a number of planets. This source is of cosmic origin and modulated by position and direction of the Solar system motion in the Galaxy. Therefore, the maximal heat generation occurs when projection of the planet motion in the Galaxy achieves the planetary equator. This results in existence of hot equatorial belt in the planetary interior. Structure of convective flows with equatorial hot belt in the bowels of the planet including antipodally located superplumes is typical not only for the Earth, but also for the planets of the Earth's group and a number of satellites. This convection structure was formed in the initial era of existence of planetary system, possibly at the stage of accretion. It determines the specific character of redistribution of masses of substance in the bowels of the planet and the character of displacements of shells relative to each other. Movement of masses during convection leads to mutual nutation of shells relative to the planet's axis of rotation. These displacements occur in the allocated corridor between superplumes with respect to the axis connecting them. The displacements of shells set configuration for tension regions and network of planetary faults. The origin of this structure of convective flows is probably connected with the impacted process and cosmically conditioned heating of the near-equatorial belt of the planetary bowels. The results were obtained by comparing data from space geodesy, volcanology, paleomagnetism, paleoclimatic data for such planets as Mars, the Moon and Jupiter's satellite Europa.