When atoms bind together, their total energy is less than each individual's energy. When planets come together, their total energy is also less (i.e. nature of attractive force). The mass of each stays the same before and after the binding. However, their total energy decreases.
Does this mean that when planets come together, their gravitational field will be reduced in comparison to when the two was still free? I know that it will increase since when two masses come together, then of course the field will increase.
What I mean is, will it decrease compared to when each of them was free?
e.g. in atoms, their total energy decreases when the two atoms bind together