To the Babylonian astronomer Kidinnu (in Greek or Latin, Kidenas or Cidenas) has been attributed the invention (5th or 4th century BC) of a system "B" for predicting the position of the moon, taking account that the moon continually changes its speed along its path relative to the background of fixed stars.
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The precision of this science is currently being extended still further by the recently established Apache Point Observatory Lunar Laser-ranging Operation.
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and other notable mathematical astronomers also made significant contributions, including: Edmond Halley; Philippe Gustave le Doulcet, Comte de Pontécoulant; John Couch Adams; George William Hill; and Simon Newcomb.
Lunar theory, various theories to account for the Moon's motion
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Darwin's harmonic developments of the tide-generating forces were later brought by A T Doodson up to date and extended in light of the new and more accurate lunar theory of E W Brown that remained current through most of the twentieth century.