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Unformatted text preview: Chapter 13 Gravitation Newton’s Law of Universal Gravitation Every particle in the Universe attracts every other particle with a force (field force) that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them . 2 2 1 m m G F g = Inversesquare law r G : universal gravitational constant 2 2 11 / 10 673 . 6 kg m N ⋅ × = 12 2 2 1 12 ˆ r F r m m G = Chapter 13 Gravitation Measuring the Gravitational Constant 1798 Henry Cavendish FreeFall Acceleration and the Gravitational Force 2 E E R m M G mg = 2 E E R M G g = m M M Chapter 13 Gravitation g’ decreases with increasing altitude. 2 ' ) ( h R m M G mg E E + = 2 ' ) ( h R M G g E E + = the elliptical orbit of Mars Kepler discovered that the orbit of Mars could be accurately described by an ellipse. 2 2 2 c b a + = Chapter 13 Gravitation Major axis Center Focal points : The Sun is located at either Minor axis Kepler’s Laws 1. All planets move in elliptical orbits with the Sun at one focal point. A direct consequence of the fact that the gravitational force varies as 1/r 2 ....
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This note was uploaded on 12/27/2011 for the course LSCI 103 taught by Professor K.y.liao during the Fall '11 term at National Cheng Kung University.
 Fall '11
 K.Y.Liao

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