Sec. 8.4 - 1-D Problem

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Sec. 8.4 from Taylor's Classical Mechanics
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At 1:29, why does mu lost it's square? Shouldn't mu be squared in the partial derivative term?

Twitledum
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Shouldn't the centrifugal force equal the gravitational force, as they are both radial?

kemalaziz
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in minute 2.20 I believe its mu, , not mu^2

hudaz