Question

Choose the correct statement from the following : The radius of the orbit of a geostationary satellite depends upon

• A. Mass of the satellite, its time period and the gravitational constant
• B. Mass of the satellite, mass of the earth and the gravitational constant
• C. Mass of the earth, mass of the satellite, time period of the satellite and the gravitational constant
• D. Mass of the earth, time period of the satellite and the gravitational constant

Answer 1

Answer: (D)

Mass of the earth, time period of the satellite and the gravitational constant

Answer 2

$T = 2 \pi \sqrt { \frac { r ^ { 3 } } { G M } }$⇒$r ^ { 3 } = \frac { G M T ^ { 2 } } { 4 \pi ^ { 2 } }$⇒$r = \left[ \frac { G M T ^ { 2 } } { 4 \pi ^ { 2 } } \right] ^ { 1 / 3 }$