04_Sep06[1] - Kepler s Three Empirical Laws Kepler s 1st...

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Kepler ` s Three Empirical Laws Kepler ` s 1 st law: : orbits are ellipses with sun at one foci (nearly circular) Kepler ` s 2 nd law: the line between a planet and the sun sweeps out equal areas in equal times Kepler ` s 3 rd law : square of orbital period increases with cube of semimajor axis (planets farther from the sun move more slowly )
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What is a l conic section? z
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Orbits as Conic Sections (K1)
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Equal Areas (K2)
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Galileo ` s sunspot drawings
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Real Sunspots
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Copernicus vs Ptolemaic Phases of Venus
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Phases of Venus
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Galileo ` s observations and a photo of Jupiter
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What this means… • Galileo ` s observations of Jupiter ` s moons with the telescope prove that some bodies do not orbit the earth. He noted that they did not fly off into space as Jupiter moves. • Now the stage is set for… – An outbreak of the plague… – The fall of an apple… Newton
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Newton
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Newton ` s Theoretical Laws Newtons ` s 1 st law : in the absence of force, objects move in a straight line. Newton
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04_Sep06[1] - Kepler s Three Empirical Laws Kepler s 1st...

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