1. Tardigrade
  2. Question
  3. Physics
  4. A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1 %, the speed of the satellite will

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A satellite is moving around the earth with speed v in a circular orbit of radius $r$. If the orbit radius is decreased by $1\%$, the speed of the satellite will

Chhattisgarh PMTChhattisgarh PMT 2004

Solution:

Orbital speed $ v=\sqrt{\frac{GM}{R}} $
By power law of error $ \frac{\Delta v}{v}=-\frac{1}{2}\frac{\Delta R}{R} $
So, $ 1\% $ decrease in orbital radius will result is $ 0.5\% $ increase of the speed of the satellite.