When a satellite going round the earth in

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When a satellite going round the earth in a circular orbit of radius $r$ and speed $v$ loses some of its energy, then $r$ and $v$ change as

A

$r$ and $v$ both with increase

B

$r$ and $v$ both will decrease

C

$r$ will decrease and $ v$ will increase

D

$r$ will increase and $v$ will decrease

When a satellite going round the earth in a circular orbit of radius $r$ and speed $v$ loses some of its energy, then $r$ and $v$ change as

$B.E. = - \frac{{GMm}}{r}.$

If $B.E.$ decreases then $r$ also decreases and $v$ increases as $v \propto \frac{1}{{\sqrt r }}$