The total energy of a circularly orbiting satellite is

  • A
    half the kinetic energy of the satellite.
  • B
    half the potential energy of the satellite.
  • C
    twice the kinetic energy of the satellite.
  • D
    twice the potential energy of the satellite.

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$A$ planet is moving in an elliptical orbit around the sun. If $T, V, E$,and $L$ stand respectively for its kinetic energy,gravitational potential energy,total energy,and magnitude of angular momentum about the centre of force,which of the following is correct?

An astronaut takes a ball of mass $m$ from Earth to space. He throws the ball into a circular orbit about Earth at an altitude of $318.5 \ km$. From Earth's surface to the orbit,the change in total mechanical energy of the ball is $x \frac{GM_e m}{21 R_e}$. The value of $x$ is (take $R_e = 6370 \ km$).

Write an equation of total energy of a satellite. Why is the total energy of a satellite negative?

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$A$ satellite of mass $m$ rotates around the Earth in a circular orbit of radius $R$. If the angular momentum of the satellite is $J$, then its kinetic energy $(K)$ and the total energy $(E)$ of the satellite are:

Two satellites $A$ and $B$,with a mass ratio of $3:1$,are in circular orbits of radii $r$ and $4r$ respectively. The ratio of the total mechanical energy of $A$ to $B$ is:

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