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Kepler s Laws

Kepler's 2nd Law. The line joining the planet to the Sun sweeps out equal areas in equal times as the planet travels around the ellipse. . . . . . . . 3d Kepler's Law. The ratio of the squares of the periods of revolutions for two planets is equal to the ratio of the cubes of their semimajor axes: .

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Kepler s Laws

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    1. Kepler’s Laws 1)The orbits of the planets are ellipses, with the Sun at one focus of the ellipse.

    2. Kepler’s 2nd Law The line joining the planet to the Sun sweeps out equal areas in equal times as the planet travels around the ellipse.

    3. 3d Kepler’s Law The ratio of the squares of the periods of revolutions for two planets is equal to the ratio of the cubes of their semimajor axes:

    4. CENTRIFUGAL AND GRAVITATIONAL FORCES Fcf =MV2/ R Fgravitational =GMM0 /R2 Fcf = Fgravitational

    6. KEPLER’S ROTATION

    13. NASA picture of Io

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