Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major

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7.Gravitation

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Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major axis. If their angular momenta about earth centre are in the ratio $3: 4$ then ratio of their areal velocity is ........

A

$\frac{3}{4}$

B

$\frac{2}{3}$

C

$\frac{1}{3}$

D

$\frac{4}{3}$

Solution

(a)

Areal velocity, $\frac{\Delta A}{\Delta t}=\frac{|\vec{L}|}{2 m}=v_A$

$\vec{L}$ is the angular momentum of satellite, $m$ is the mass of satellite,

$\Rightarrow \frac{v_{A 1}}{v_{A 2}}=\frac{\left|\vec{L}_1\right|}{\left|\vec{L}_2\right|}=\left(\frac{3}{4}\right)$

Standard 11

Physics

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