Unformatted text preview: interval t where F ’ is continuous and F ’ t (except possibly at endpoints of the interval). Newton’s Second Law : F t = m a t Consider coordinate system with the sun at the origin (ignore all other planets): you get Newton’s Law of Gravitiation F = GMm r 3 r = GMm r 2 u , where u is a unit vector and r = r , F is the force vector of the planet, and r is the position vector of the planet. Thm 14.4.1 A polar eqn of form r = ed 1 e cos or r = ed 1 e sin represents a conic section. The conic section is an ellipse if e 1, parabola if e = 1 and hyperbola if e 1....
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 Fall '07
 Bumpus
 Continuity, Derivative, Scalar, Limits, Force, function times vector, unit velocity vector

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