Tusi discovering laws of planetary motion before Kepler?

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SUMMARY

The discussion centers on the Tusi couple, a mathematical construct attributed to Nasir al-Din al-Tusi, which was utilized for modeling the latitudinal motion of inferior planets and served as a precursor to Kepler's laws of planetary motion. The Tusi couple, represented as a hypocycloid, raises questions about its relationship to elliptical orbits, which are fundamental to Kepler's findings. The conversation also highlights the significance of Kepler's second and third laws, suggesting that while Tusi contributed to early astronomical models, Kepler's comprehensive laws provided a more accurate description of planetary motion.

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  • Understanding of the Tusi couple and its application in astronomy
  • Familiarity with Kepler's laws of planetary motion
  • Basic knowledge of hypocycloids and their geometric properties
  • Concept of elliptical orbits in celestial mechanics
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  • Study Kepler's laws of planetary motion in detail
  • Explore the historical context of Tusi's contributions to astronomy
  • Investigate the differences between hypocycloids and elliptical orbits
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Astronomers, historians of science, and students of mathematics interested in the evolution of astronomical theories and the contributions of early scholars like Nasir al-Din al-Tusi and Johannes Kepler.

FortranMan
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I was reading about the Tusi couple and read it "as a solution for the latitudinal motion of the inferior planets, and later used extensively as a substitute for the equant". Since the Tusi couple is related to plotting out an ellipse, did Nasir al-Din al-Tusi already discover the laws for planetary motion before Kepler?
 
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Since the Tusi Couple is a hypocycloid, and the actual orbits are ellipses, how could this be said to be a discovery of the planetary laws before Kepler? Also, what about Kepler's second and third laws, which are probably more important than the first?
 
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