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Introduction
A Modern Almagest:
An updated version of Ptolemy's model of the solar system
Richard Fitzpatrick
Professor of Physics
The University of Texas at Austin
Introduction
The Sun and the Planets
Introduction
Ptolemy's model
Copernicus's model
Kepler's model
Mathematical analysis
Introduction
Kepler's first law
Kepler's second law
Low eccentricity planetary orbits
The deferent-epicycle system
The Earth-Sun displacement vector
The Sun-Planet displacement vector
Summary
Comparison with observational data
Introduction
Observational data
The Sun
Mars
Jupiter
Saturn
Venus
Mercury
Conclusions
The Moon
Introduction
Observational data
Orbital inclination
Transformation of coordinates
Orbital rotation
Mathematical model
Geometric model
Conclusions
Solar and lunar eclipses
Introduction
Eclipse prediction
Conclusions
Conclusions
Acknowledgment
Bibliography
About this document ...
Richard Fitzpatrick 2006-07-28