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A satellite of mass m is in a circular o...

A satellite of mass `m` is in a circular orbit of radius `r` round the Earth. Calculate its angular momentum with respect to the centre of the orbit in terms of the mass `M` of the Earth and `G`.

Text Solution

Verified by Experts

Angular momentum of satellite,
`L = m upsilon r = m r sqrt(GM//r) = (m^(2) GM r)^(1//2)`
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Knowledge Check

  • A satellite of mass m s revolving in circlular orbit of radius r aroiund the earth its angular momentum w.r.t the centre of its orbit is (M=mass of earth G= universal gravitational constant )

    A
    `(GMmr)^(1//2)`
    B
    `(GM^(2)mr)^(1//2)`
    C
    `(GMm^(2)r^(2))^(1//2)`
    D
    `(GM^(2)m^(2)r)^(1//2)`

  • The satellite of mass m revolving in a circular orbit of radius r around the earth has kinetic energy E. then, its angular momentum will be

    A
    `sqrt((E)/(mr^(2)))`
    B
    `(E)/(2mr^(2))`
    C
    `sqt(2Emr^(2))`
    D
    `sqrt(2Emr)`

  • A satellite is orbiting the earth in a circular orbit of radius r . Its

    A
    kinetic energy veries as `r`
    B
    angular momentum varies as `r^(-1)`
    C
    linear momentum varies as `r^(2)`
    D
    frequency of revolution varies as `r^(-3//2)`