A "mecânica ondulatória" de Johannes Kepler

Abstract

We compare the "harmonic" theory conceived by Kepler in bis description of the planetary movements with the early planetary atom models of the "old quantum mechanics" proposed by Niels Bohr. ln Kepler's view the movement of a planet around the Sun was represented by a non audible "sound'', whose pitch was proportional to the angular velocity, while the orbits were associated with "circular strings" divided in an integer number of segments by inscribed regular polygons. The association of movement with some kind of "wave" in Kepler's model could be an ancestor of the Louis de Broglie's matter waves, while the "circular strings" are in some sense analog to the "planetary model" of Bohr's hydrogen atom, whose stable "orbits'' were further interpreted by de Broglie as circular electron "standing waves" with an intéger number of wavelengths.