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The kinetic energies of a planet in an elliptical orbit about the sun at positions A, B and C are KA, KB and KC respectively. If AC is the major axis and SB is perpendicular to AC at the position of the sun S as shown in the figure, then

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Important Questions on Gravitation

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A planet is revolving around the sun in an elliptical orbit. Select the correct option.
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A body is projected vertically upward with speed  v0v0<vescape  from surface of earth. The speed of body at h height is (where R is radius of earth and g is acceleration due to gravity at earth's surface)
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A satellite of mass m is in a circular orbit of radius 4RE. How much energy is required to transfer it to a circular orbit of radius 7RE?
RE is radius of earth, M is mass of earth).
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A satellite of mass m0 is orbiting around the earth at a height h above the surface of the earth. If the mass of the earth is M and its radius is R, then angular momentum of the satellite is
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The ratio of kinetic energy of a planet at perigee and apogee during its motion around the sun in elliptical orbit of eccentricity e is
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An earth satellite X is revolving around earth in an orbit whose radius is one-fourth the radius of orbit of a communication satellite. Time period of revolution of X is
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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
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When a satellite moves around the earth in a certain orbit, the quantity which remains constant is :