Vertical moments balance – stability (in the plane normal to the ecliptic) of the Earth solid inner core is analyzed. The most important influence comes from the shape of it. Both real rotation conditions around the Sun and itself push rotation axes of the core vertically “up” for the eccentricity coefficient (ratio between the equator and polar radiuses) bigger then 1.000000358. In all other cases gyroscope moment rotate the core vertically “down”. Deformations of the solid inner core are analyzed by the finite element method relative to the centrifugal forces coming from the self – rotation and opposite compression forces caused by the gravity pressure. Resultant loads give the deformations adequate to the eccentricity of 0.9976, close to the shape of an egg. The rest liquid part of the planet with the opposite “sunny” moment and the shape of an ellipsoid give the reaction to the expected motion of the core via viscous friction, for now. Corresponding decreasing of the intensity of the Earth magnetic field probably means slowing down of the angular rotation of the core. The vertical sliding between inner core and the rest part of the planet could occur at one moment, causing magnetic and mechanical polar shift. The existing self – rotation of the inner core doesn’t stop, affecting new sunrise on the west. The biggest probability for this event is related to the position of the planet with the biggest velocity in the sharpest part of its path curvature. It means in December every year. Mathematical analysis of the total intensities of the Earth magnetic field diagrams gives 2012 year.