Kepler's Iterative Solution to Kepler's Equation

  title={Kepler's Iterative Solution to Kepler's Equation},
  author={Noel M. Swerdlow},
  journal={Journal for the History of Astronomy},
  pages={339 - 341}
  • N. Swerdlow
  • Published 1 November 2000
  • Physics, Geology
  • Journal for the History of Astronomy
The subject of this note is quite simple. In Astronomia nova 60, Kepler set out demonstrations and equations for finding the position of a planet moving in either an ellipse or a circle such that a line from the Sun to the planet describes areas proportional to time.' One of them, written as M = E + e sin E, known as 'Kepler's Equation', has a well known difficulty, which Kepler himself was the first to recognize, in that it can easily be solved in one direction, for M, but not in the other… 

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