A satellite S moves around a planet P in an e | vedclass

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(D) According to the law of conservation of angular momentum,the angular momentum of the satellite remains constant at all points in its orbit.$L_a =

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$3 : 1$

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(D) According to the law of conservation of angular momentum,the angular momentum of the satellite remains constant at all points in its orbit.$L_a = L_b$Since the velocity vector is perpendicular to the position vector at the perihelion $(a)$ and aphelion $(b)$,the angular momentum is given by $L = mvr$.Therefore,$m v_a r_a = m v_b r_b$.Given $r_a = r$ and $r_b = 3r$,we have:$m v_a r = m v_b (3r)$$v_a = 3 v_b$$\frac{v_a}{v_b} = \frac{3}{1} = 3 : 1$.

$A$ satellite $S$ moves around a planet $P$ in an elliptical orbit as shown in the figure. The ratio of the speed of the satellite at point $a$ to that at point $b$ is

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