Question

A satellite revolving around a planet has a time period T and orbital radius R, the mass of this planet is –

• A.
• B.
• C. $\frac { \mathrm { R } ^ { 3 } \mathrm {~T} } { \mathrm { G } }$
• D.

Answer 1

Answer: (D)

Answer 2

$\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm { R } ^ { 3 } } { \mathrm { GM } } }$Ž$\mathrm { T } ^ { 2 } = 4 \pi ^ { 2 } \frac { \mathrm { R } ^ { 3 } } { \mathrm { GM } }$Ž