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Manipal MET2021PhysicsGravitation

A satellite goes along an elliptical path arounds earth. The rate of change of area swept by the same line joining earth and the satellite is proportional to :

Options

  1. Ar^ 1 / 2
  2. Br
  3. Cr^ 3 / 2
  4. Dr^2

Correct answer

A. r^ 1 / 2

Step-by-step solution

Areal velocity = d A d t = L 2 m = m v r 2 m = v r 2 = r 2 G M r = 1 2 G M r So, d A d t r

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