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A satellite of mass m orbits around the Earth of mass M in an elliptical orbit of semi-major and semi-minor axes 2a and a respectively. The angular momentum of the satellite about the centre of the Earth is

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Important Questions on Gravitation

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A planet moving around the sun sweeps area A1 in 2 days, A2 in 4 days and A3 in 9 days. Then, relation between them
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A comet revolves around the sun in an elliptical orbit. When it is closest to the sun at a distance d, its corresponding kinetic energy is k0. If it is farthest from the sun at distance 3d then the corresponding kinetic energy will be
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A planet is revolving around the sun as shown in elliptical path

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The correct option is 

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In our solar system, the inter-planetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They
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What will be its time period (in earth's days) if a new planet is discovered rotating around the sun with an orbital radius double that of the earth?
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If the angular momentum of a planet of mass m orbiting around the sun is j, then areal velocity of its radius vector will be
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The distances of Neptune and Saturn from the Sun are nearly 1013 m and 1012 m, respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio
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A satellite revolves around the earth in an elliptical orbit. Its speed