Expansion and Contraction of Earth and Sun in Gravitational Field

Branko M. Novakovic

Earth, Sun, Maximal and Minimal radiuses, Expansion and Contraction, Dark matter

The expansion and contraction models of the Earth and of the Sun are derived. It is combined with the experimentally observations data. Further, it is shown that at the minimal non-null radiuses (without singularities), the normalized accelerations of the Earth and of the Sun, are positive. On the other hand, at the maximal non-infinity radiuses, the normalized acceleration of the Earth and of the Sun, are negative. Thus, the Earth and the Sun expansions and contractions are cyclic. The maximal expansion and contraction velocities are close to the speed of light, but less than it. The observed amounts of the Earth and of the Sun masses give very small minimal and maximal radiuses. This means that both the Earth and the Sun must contain more masses.

  Assuming that maximal radiuses of the Earth and of the Sun are equal to their present radiuses, there are calculated the related new masses: M_{e new}=5.662411∙10²⁹ kg, M_{s new} =6.185902∙10³¹ kg. The ratios between new and observed masses are very large. This can be explained by the assumption that the Earth and the Sun contain a dark matter. The ratio between observed and calculated Sun masses is about 3 %. This corresponds to the observation that our Universe contains about 3% of the visible matter in the total matter of the Universe. On the other hand, the ratio between observed and calculated Earth masses is about 0.001%. This ratio is an enigma and is in question? The minimal transition time from the minimal radius to the next quantum state for the Earth is about 7 minutes and for the Sun is about 13 hours.

https://doi.org/10.31871/IJNTR.7.11.17