Question

# The picture above represents a planet (blue) oribiting a star. This particular planet has a highly elliptical orbit, as shown.At what point in the orbit is the planet moving fastest?

A
1
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B
2
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C
3
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D
4
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E
We cannot determine where the planet is moving fastest, since Kepler's Laws apply only to planet in our solar system
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Solution

## The correct option is C 4As the planet is like an isolated system therefore its angular momentum remains conserved , angular momentum of a planet is given by , L=mr×v ,where m= mass of the planet , r= distance of planet from sun , v= velocity of planet ,since L is constant , therefore product of r and v also be constant (mass m of planet doesn't change) , it means when r increases v will decrease and vice-versa , now we can see that at point 4 r is smallest therefore v will be highest i.e. planet will move fastest .

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