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GAT: Kepler's laws

Kepler's laws were discovered by the German astronomer Johannes Kepler based on his attempts to fit Tycho Brahe's observations of the orbit of the planet Mars into a circular path. At the time of Kepler's observations, both the Ptolemaic model of the universe and the Copernican model of the universe believed all heavenly bodies moved in circles, or combinations of circles.

Kepler's laws are:

  1. All planets move in elliptical orbits, with the Sun as one of the two foci of the ellipse.
  2. As a planet moves, it sweeps out equal areas in equal times.
  3. The square of the object's period of orbit is proportional to the cube of its distance to the Sun.
Assume that there is a line that connects a planet to the Sun, much as a string connects a yo-yo or a conker to your finger as you whirl it around. This line sweeps out an area as it passes. For equal periods of time, the line sweeps out equal areas. Area A = Area B.

This means that as a planet is closer to the Sun (or a moon to its primary), it moves faster than it does further out from the Sun.

Kepler's Second Law


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