Physics · JEE | GRAVITATION

What is the relation between the time period of a planet and the semi-major axis \( a \) for an elliptical orbit about the Sun of mass \( M_S \)?

1. A
   \( T^2 = \frac{4\pi^2}{GM_S}a^{3/2} \)
2. B
   \( T = \frac{4\pi^2}{GM_S}a^3 \)
3. C
   \( T^2 = \frac{GM_S}{4\pi^2}a^3 \)
4. D
   \( T^2 = \frac{4\pi^2}{GM_S}a^3 \)