binding energy of orbit

Question

Magnitude of binding energy of planet of mass m in circular orbit radius r?

RankGuru · Accepted Answer

1. **Definition**: Binding energy is the minimum work required to remove an object in orbit to infinity (where total energy is zero).
2. **Relation to Total Energy**: B.E. = - (Total Mechanical Energy).
3. **Orbital Energy formula**: $E_{total} = -\frac{GMm}{2r}$.
4. **Calculation**: B.E. = $- (-\frac{GMm}{2r}) = \frac{GMm}{2r}$.
5. **Numerical Sign**: While bound, the energy is negative. Binding energy is defined as the **positive magnitude** needed to break the bond.

Rank Guru

binding energy of orbit

Select the correct option: