Authors: Herve Le Cornec
As described in the literature the velocity of a Keplerian orbiter on a fixed orbit is always the sum of a uniform rotation velocity and a uniform translation velocity, both coplanar. This property is stated here as a theorem and demonstrated as true. The consequences are investigated among which the Newton's law of gravitation appears as its derivative with respect to time, the classical mechanical energy is deduced, the Galileo's equivalence principle is respected, an alternative to the orbit determination emerges. However the kinematics gives a less restrictive interpretation of the Newton's factor GM , and show that the Einstein's equivalence principle can not be correct. Furthermore they provide an explanation of the galaxy rotation by extending the Plank-Einstein relation to the macroscopic scale.
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