Question

A body of mass m is moving in a circular orbit of radius r about a planet of mass m. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius r 2 ,

Answer 1

Hey dear,
The question is incomplete. But don't worry, I'll post complete question here.

● Answer: -GMm/6R

● Explaination-
Initially for mass m, total energy is-
Ei = GMm / 2R

After spliting,
Energy for mass 1,
Ef1 = GM(m/2) / 2(R/2)
Ef1 = GMm / 2R

Energy of mass 2,
Ef2 = GM(m/2) / 2(3R/2)
Ef2 = GMm / 6R

Total final energy,
Ef = Ef1 + Ef2
Ef = GMm / 2R + GMm / 6R

Difference between initial and final energies,
Ef - Ei = GMm / 2R + GMm / 6R - GMm / 2R
Ef - Ei = GMm / 6R

Hope this is helpful...