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Unformatted text preview: r = β i and s = − β i (i.e. α = 0). In line with the analysis in case 4, this means ± ˙ x ˙ y ² = ± β − β ²± x y ² resulting in ˙ R = 0 and ˙ θ = − β , giving R = c and θ = − β t + θ , where c and θ are constants. This means that the trajectories are closed curves (circles or ellipses) with centre at the origin. If β > 0 the movement is clockwise while if β < 0 the movement is anticlockwise. A complete circuit around the origin denotes the phase...
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.
- Fall '11