Description of Keplers's model

We closely follow the (Duncan,1981) transl. of Kepler's Mysterium Cosmographicum, 2nd edn. of 1621.

CONTENTS

  • Kepler's 2D model: Harmonics of rings, with 1 graphic
    This is Kepler's failed first attempt: planar annuli separated by regular polygons -- equilateral triangle, square,...
  • Kepler's 2D model: Math of the gaps in the plane
    Proofs of the harmonic ratios, Euclidean plane geometry.
  • Kepler's 3D model: Description of the model
    A list of the five gaps, spaced by regular polyhedra, with harmonic ratios.
  • Kepler's 3D model: Math of the gaps, 3D model
    Proofs of the five harmonic ratios, Euclidean solid geometry.
  • Orbit data, six planets: R-max, R-min, R-mean, eccentricity
    Using modern data from (Moore/Hunt, 1983).
  • Ratio data, five gaps: R-max-mean-min, 9 Ratios
    Using modern data from (Moore/Hunt, 1983), set out in the style of Kepler's Table III (Duncan, 1981; pp. 28, 212, 213).
  • The scorecard for Kepler's model: Final results
    We put it all together, and tally the results: min/max ratios from modern data, from Kepler's model, and the errors.

  • Rev'd 21 jan 2002 by ralph abraham