The Planetary Machine by Johannes Kepler

TL;DR

Kepler's early design of a planetary machine illustrates his understanding of heliocentric astronomy, planetary motion, and the mechanical principles needed to model the solar system, predating his later formal theories.

Contribution

This paper presents a translation and virtual reconstruction of Kepler's planetary machine, revealing his innovative approach to modeling planetary motion and heliocentric concepts.

Findings

Demonstrates Kepler's understanding of planetary motion and retrograde phenomena.

Shows how Kepler's machine models the Sun-centered system mechanically.

Highlights the evolution of planetary theories from homocentric spheres to heliocentric models.

Abstract

While Kepler was still working in Graz during 1598, some letters to his mentor Michael Maestlin demonstrate his interest in astronomical clocks and machines. The first letter, dated January 6, 1598 contains a detailed description of a machine. In the second letter, written between June 1 and 11, 1598, Kepler starts with a brief review of clocks and machines of his time, then goes on to describe the requirements necessary for a useful mechanical instrument, based on the latest information of the day. In the Epitome Astronomiae Copernicanae (1618) he reiterates the importance and utility of astronomical and horological machines to divulgate the Copernican model of the Cosmo, to inform and assist scientists in their celestial calculations and hypotheses, even during periods of poor visibility in the night sky. I will present a translation of the design by Kepler and a hypothetical three-dimensional virtual reconstruction of his machine. This project reveals the ongoing research by Kepler and his understanding of the cinematic of planets, still bound to the homocentric spheres concept while the idea of orbita was maturing. At the same time the project of Kepler reveals a reasoning on a clear description of retrograde motion of planets, fully developed later in his Astronomia Nova. His machine demonstrates the Copernican concept of the Sun and its planets as a unique system. He also wants to show how the planet moves from the viewpoint of an Earth based observer. He shows how to solve the basic mechanical problem of moving all the planets simultaneously with just one driving mechanism, which was impossible to accomplish with the Aristotelian theory of homocentric spheres.