Abstract

The velocity of any Keplerian orbiter is well known, but its time derivative is a centripetal acceleration, not an attractive one. Furthermore the rectilinear accelerated trajectory of Newton’s attraction is not part of the Keplerian conics. Newton’s postulate of attraction is therefore not consistent with Kepler’s laws. We demonstrate this geometric reality by the factual kinematics and expose its consequences from the bodies falling, to the rotation speed of the galaxies, passing through Einstein’s equivalence principle or the stability of the solar system.

Keywords

kinematics, laws of Kepler, gravitation, Newton’s attraction, equivalence principle, galaxy rotation