Ptolemaic planetary models and Kepler’s laws

@article{Carman2018PtolemaicPM,
  title={Ptolemaic planetary models and Kepler’s laws},
  author={Christi{\'a}n C. Carman and Gonzalo Luis Recio},
  journal={Archive for History of Exact Sciences},
  year={2018},
  volume={73},
  pages={39-124}
}
Abstract In this article, we aim at presenting a thorough and comprehensive explanation of the mathematical and theoretical relation between all the aspects of Ptolemaic planetary models and their counterparts which are built according to Kepler’s first two laws (with optimized parameters). Our article also analyzes the predictive differences which arise from comparing Ptolemaic and these ideal Keplerian models, making clear distinctions between those differences which must be attributed to the… 
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