Physics · JEE | GRAVITATION

What is the expression for the total mechanical energy of a particle of mass \( m \) moving in a circular orbit of radius \( a \) about a massive body \( M \) (\( M \gg m \))?

1. A
   \( E = -\frac{GMm}{a} \)
2. B
   \( E = \frac{GMm}{a} \)
3. C
   \( E = \frac{GMm}{2a} \)
4. D
   \( E = -\frac{GMm}{2a} \)