The angular velocity of the earth around the sun increases when it comes closer to the sun. Why?

Q. The angular velocity of the earth around the sun increases when it comes closer to the sun. Why?

Ans: When the earth comes closer to the sun, the distance of the earth from the sun decreases, and that decreases the moment of inertia of the earth as per the relation I = \sum_{i=1}^n m_i r_i^2. The decrease in moment of inertia increases the angular velocity of the earth by the law of conservation of angular momentum as per the relation (I \omega = constant).

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