Intermediate Mechanics:Central Force Motion

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Latest revision as of 22:06, 13 March 2006

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Second coolest equation ever (T&M 8.21):

$\frac{\partial u}{\partial \dot{\theta}} + u = -\frac{\mu r^2}{l^2}F(r)$

$u = \frac{1}{r}$

$\frac{\alpha}{r} = 1 + \epsilon \cos \theta$

$\epsilon = \sqrt{1 + \frac{2 E L^2}{m K^2}}$

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 Second coolest equation ever (T&M 8.21):