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Kepler used Tycho ’ s Mars observations to discover the laws governing planetary motion.

Kepler used Tycho ’ s Mars observations to discover the laws governing planetary motion. He first tried to match Tycho ’ s observations with circular orbits, but found that elliptical orbits better matched the data. Johannes Kepler (1571-1630).

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Kepler used Tycho ’ s Mars observations to discover the laws governing planetary motion.

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  1. Kepler used Tycho’s Mars observations to discover the laws governing planetary motion. • He first tried to match Tycho’s observations with circular orbits, but found that elliptical orbits better matched the data. Johannes Kepler(1571-1630)

  2. Who actually made a device to replicate the planet’s motions in the sky? Clicker Question • Aristotle • Plato • Ptolemy • Tycho • Kepler

  3. Who actually made a device to replicate the planet’s motions in the sky? Clicker Question • Aristotle • Plato • Ptolemy • Tycho • Kepler

  4. Who was a proponent of the heliocentric model? Clicker Question • Copernicus • Plato • Ptolemy • Tycho • Kepler

  5. Who was a proponent of the heliocentric model? Clicker Question • Copernicus • Plato • Ptolemy • Tycho • Kepler

  6. What are Kepler’s three laws of planetary motion? Kepler’s First Law: The orbit of each planet around the Sun is an ellipse with the Sun at one focus.

  7. Kepler’s Second Law: As a planet moves around its orbit, it sweeps out equal areas in equal times. This means that a planet travels faster when it is nearer to the Sun and slower when it is farther from the Sun.

  8. Kepler’s Third Law More distant planets orbit the Sun at slower average speeds, obeying the relationship p2 = a3 p = orbital period in years a = avg. distance from Sun in AU

  9. Kepler’s Third Law

  10. Clicker QuestionAn asteroid orbits the Sun at an average distance a = 4 AU. How long does it take to orbit the Sun? • 4 years • 8 years • 16 years • 64 years Hint: Remember that p2 = a3

  11. Clicker QuestionAn asteroid orbits the Sun at an average distance a = 4 AU. How long does it take to orbit the Sun? • 4 years • 8 years • 16 years • 64 years We need to find p so that p2 = a3. Since a = 4, a3 = 43 = 64. Therefore, p = 8, p2 = 82 = 64.

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