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Planetary motion. Watching the sky night after night, month after month, some “stars” appear to move Planetary motion is much slower than diurnal motion Five “wandering stars” known to ancient people were Mercury, Venus, Mars, Jupiter, and Saturn. Greek Astronomy (Aristotle & Ptolemy).
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Planetary motion • Watching the sky night after night, month after month, some “stars” appear to move • Planetary motion is much slower than diurnal motion • Five “wandering stars” known to ancient people were Mercury, Venus, Mars, Jupiter, and Saturn.
Greek Astronomy(Aristotle & Ptolemy) • Believed that the earth was at the center of the universe • All heavenly objects moved on perfect circles • Models became very complicated to explain retrograde motion • Adopted by Catholic theologians in the Middle Ages
Nicolaus Copernicus (1473-1543) • Born Nicolaus Kopernik in Poland • Priest, mathematician, and physician • Proposed that the earth is not at the center of the universe • Explained retrograde motion of planets without epicyles
Tycho Brahe(1546-1601) • Born in Denmark to noble family • Made the most accurate observations up to that time without a telescope • Measured • positions of stars & planets • length of year (to within 1 second) • distance to supernova
Galileo Galilei(1564-1642) • Italian inventor and physicist • First to use a telescope for astronomy • Discovered: • craters & mountains on the moon • moons of Jupiter • phases of Venus • convicted by Inquisition at age 70 and forced to recant his theories
Johannes Kepler(1571-1630) • Hired as assistant to Tycho Brahe a year before Tycho’s death • Used Tycho’s data to work out first truly accurate model of solar system • Obsessed by idea of “harmony of the spheres”
Kepler’s Laws • The orbit of a planet is an ellipse with the sun at one focus • A line joining a planet and the sun sweeps out equal areas in equal intervals of time • The square of a planet’s period is directly proportional to the cube of the orbit’s semimajor axis P2 = a3
Sir Isaac Newton(1643-1727) • Lucasian Professor of Mathematics at Cambridge University, England • Invented calculus (at the same time as Leibnitz in Germany) • Studied the nature of light • Combined physics and astronomy for the first time
Newton’s Laws of Motion • Every object tends to remain in constant motion unless acted upon by an outside force • Force equals mass times acceleration F=ma • For every action there is an equal and opposite reaction
Newton’s Law of Universal Gravitation All objects attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Newton’s Laws explain planetary motion • Physics can predict Kepler’s Laws • Not all orbits are ellipses! • Parabolas and and hyperbolas are also possible (one time orbits)