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Angular Analogue of Linear Momentum

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Question

According to Kepler's second law, the radius vector to a planet from the Sun sweeps out equal areas in equal intervals of time. This law is a consequence of the conservation of __________.

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Solution

$\frac{d A}{d t} = \frac{L}{2 m} =$ constant, because angular momentum of planet $(L)$ about the centre of the Sun is constant. Thus, this law comes from law conservation of angular momentum.

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