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what is Keplers law of area of planetary motion

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According to the law of area the line joining the sun to the planet sweeps out equal areas in equal intervals of time. That is areal velocity is constant. The law is similar to the law of conservation of angular momentum.

Area of velocity = \frac{dA}{dt}

\frac{dA}{dt}=\frac{1}{2}\frac{\left ( r \right )\left ( vdt \right )}{dt}=\frac{1}{2}rv

Where

\frac{dA}{dt}\rightarrow Areal velocity

dA\rightarrow  small area traced

As    \frac{dA}{dt}= \frac{L}{2m}

where

L=mvr\rightarrow Angular momentum

Posted by

Safeer PP

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