First slide

Motion of planets and satellites

Question

A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately

Moderate

A

0.5%
B

1.0%
C

1.5%
D

3.0%

Solution

In the problem orbital radius is increased by 1%.
Time period of satellite $T \propto r^{3 / 2}$
Percentage change in time period
= $\frac{3}{2}$ (% change in orbital radius) = $\frac{3}{2} (1 %) = 1 .5 %$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App