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Projection Of Satellites And Spaceship...

Projection Of Satellites And Spaceship

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A satellite has to revolve round the earth in a circular orbit of radius 8 xx 10^(3) km. The velocity of projection of the satellite in this orbit will be -

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STATEMENT -1 : If a body is projected from a satellite so as to escape then its velocity of projection with respect to the satellite depends upon the direction of projection. STATEMENT -2 : Speed of a planet revolving around the sun in an elliptical orbit is maximum at perigee and minimum at apogee. STATEMENT - 3 : Gravitational field is conservative in nature.

What would be the projections velocity of a satellite so that intersteller (interspace with no gravitation) velocity of the satellite becomes the orbital velocity when it is in the orbit at height of 10R from earth's surface, where R is the radius of the earth?

A spaceship approaches the Moon along a parabolic trajectory which is almost tangent to the Moon's surface. At the moment of the maximum approach the brake rocket was fired for a short time interval, and the spaceship was transferred into a circular orbit of a Moon satellic. Find how the spaceship velocity modulus increased in the process of braking.

A satellite is orbiting around earth in a circular orbit of radius r . A particle of mass m is projected from satellite in forward direction with velocity v=sqrt(2/3) times orbital velocity (this velocity is with respect to the earth). During subsequent motion of the particle, its minimum distance from the centre of earth is

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Spaceship A travels at 0.400c relative to an Earth observer. According to the same observer, spaceship A overtakes a slower moving spaceship B that moves in the same direction. The captain of B sees A pass her ship at 0.114c. Determine the speed of B relative to the Earth observer.