A planet revolves about the sun in an elliptical orbit of semi-major axis 2x10 12 m. The areal velocity of the planet when it is nearest to the sun is 4.4 x 10 16 m 2 s -1 . If the least distance between the planet and the sun is 1 .8 x 10 12 m, then the minimum speed of the planet is
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Verified by ExpertsThe correct answer is:
A
v min = 40 km s -1
The areal velocity of a planet around the sun is
, where L is the angular momentum of the planet around the sun and ra is its mass.
2 x 4. 4 x 10 16 = v min (4 x 10 12 - 1.8 x 10 12 )
v min = 40 km s -1
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