Question

The rotation period of an earth satellite close to the surface of the earth is 83 minutes. The satellite in an orbit at a distance of three times earth radii from 2 jts surface will be

• A. 83 minutes
• B. $83\times \sqrt{8}$ minutes
• C. 664 minutes
• D. 249 minutes.

Answer 1

Answer: (C)

664 minutes

Answer 2

: ${{T}_{2}}={{T}_{1}}{{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{3/2}}=83{{\left( \frac{R+3R}{R} \right)}^{3/2}}$ $=83\times 8=664$ minutes.