A planet of mass moves alng an ellipes around the sun so that its maximum distance from the sum are equal to `r_(1) ` and `r_(2)` respectively . Find the angular momenture L of this planet relative to the centre of the sun. [Hint :L Rember that at the maximum and minimum distance velocity is perpendicular to tthe position vectors of the planet . Apply the princples of conservation of angula r momenture and energy .]

A planet of mass moves alng an ellipes around the sun so that its maxi

1.	A planet of mass moves alng an ellipes around the sun so that its maximum distance from the sum are equal to `r_(1) ` and `r_(2)` respectively . Find the angular momenture L of this planet relative to the centre of the sun. [Hint :L Rember that at the maximum and minimum distance velocity is perpendicular to tthe position vectors of the planet . Apply the princples of conservation of angula r momenture and energy .]
Answer» Correct Answer - `L=m sqrt((2GMr_(1)r_(2))/(r_(1)+r_(2)))`

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