First slide

Motion of planets and satellites

Question

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

Easy

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 decrease and v will decrease

Solution

$T E = - \frac{G M m}{2 r}$ If T.E. decreases then r also decreases and v increases as $v \propto \frac{1}{\sqrt{r}} a n d T E \propto - \frac{1}{r}$

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