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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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Important Questions on Gravitation

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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 :
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Consider a planet moving around a star in an elliptical orbit with period T. The area of the elliptical orbit is proportional to
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If all objects on the equator of earth feel weightless then the duration of the day will nearly become
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A satellite of mass m is revolving close to surface of a planet of density d with time period T. The value of universal gravitational constant on planet is given by
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If gravitational field intensity is E at distance R2 outside from then surface of a thin shell of radius R, the gravitational field intensity at distance R2 from its centre is
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If acceleration due to gravity at distance d[<R] from the centre of earth is $\beta$, then its value at distance d above the surface of earth will be [where R is radius of earth]