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(A) The gravitational potential energy of a satellite in an orbit of radius $r$ is given by $U = -\frac{GMm}{r}$. As the radius $r$ increases,the valu

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Gravitational potential energy

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(A) The gravitational potential energy of a satellite in an orbit of radius $r$ is given by $U = -\frac{GMm}{r}$. As the radius $r$ increases,the value of $U$ becomes less negative,meaning it increases.The orbital velocity is $v = \sqrt{\frac{GM}{r}}$. As $r$ increases,$v$ decreases.The angular velocity is $\omega = \frac{v}{r} = \sqrt{\frac{GM}{r^3}}$. As $r$ increases,$\omega$ decreases.The centripetal acceleration is $a_c = \frac{v^2}{r} = \frac{GM}{r^2}$. As $r$ increases,$a_c$ decreases.Therefore,only the gravitational potential energy increases.

An earth satellite is moved from one stable circular orbit to another larger and stable circular orbit. Which of the following quantities increases for the satellite as a result of this change?

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