A satellite orbits around the earth in a circular orbit with a speed v and orbital radius r. If it loses some energy, then v and r changes as |
v decreases and r increases both v and r decrease v increases and r decreases both v and r increase |
v increases and r decreases |
Total energy of a satellite orbiting in radius r is E = KE + Pot E = $\frac{1}{2} m v^2-\frac{G M m}{r}$ Where $\frac{GMm}{r^2}=\frac{mv^2}{r}$ $v=\sqrt{\frac{GM}{r}}$ $=\frac{1}{2} m \frac{GM}{r}-\frac{GMm}{r}=-\frac{GMm}{2 r}$ If it loses some energy r must decrease ∴ v = $\sqrt{\frac{GM}{r}}$, v increases |