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Kepler’s Laws

Kepler’s Laws. Johannes Kepler. German Mathematician in the early 1600s Believed in the Copernican Model Assistant to Tycho Brahe Used Brahe’s Data to formulate three laws of planetary motion. Kepler’s Laws of Planetary Motion. First Law

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Kepler’s Laws

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  1. Kepler’s Laws

  2. Johannes Kepler • German Mathematician in the early 1600s • Believed in the Copernican Model • Assistant to Tycho Brahe • Used Brahe’s Data to formulate three laws of planetary motion

  3. Kepler’s Laws of Planetary Motion • First Law • The Law of OrbitsAll planets move in elliptical orbits with the Sun at one focus. Foci Minor Axis Major Axis Semi-Major Axis

  4. Kepler’s Laws of Planetary Motion (continued) • Second Law • The Law of Areas-A line that connects a planet to the Sun sweeps out equal areas in equal times.

  5. Kepler’s Laws of Planetary Motion(continued) • Third Law • The Law of Periods-The square of the period of any planet is proportional to the cube of the semimajor axis of its orbit.

  6. Applying the Laws • The first law establishes that the planets can not be assumed to be in perfect circles • The second law establishes that an orbiting planet/satellite will move at a higher speed when it is closer to what it is orbiting.

  7. Applying the Laws (continued) • The third law allows us to set up a ratio.

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