Relativistic mass,momentum and energy.

[vin300]

I didn't imply pot.en. is not a scalar.
To make it simple, if you have a mass in a gravitational field, you cannot have a mass more than you actually have.If it's otherwise, there's a limit after which the mass won't stay in the field(and it's too small to cause a considerable change of mass), like when a satellite revolving the Earth gains a velocity more than than the critical valocity and actually has more mass, it gets out of the field. So now you know how things go.
It is definitely not the other way, for that would mean that where there's more potential energy(and hence more mass and more energy as you said), it needs even more energy to exit.What you should note is that in Newtonian physics the potential energy is negative and you made it positive.

 

[Dale]

if you have a mass in a gravitational field, you cannot have a mass more than you actually have.If it's otherwise, there's a limit after which the mass won't stay in the field(and it's too small to cause a considerable change of mass), like when a satellite revolving the Earth gains a velocity more than than the critical valocity and actually has more mass, it gets out of the field. So now you know how things go.
It is definitely not the other way, for that would mean that where there's more potential energy(and hence more mass and more energy as you said), it needs even more energy to exit.What you should note is that in Newtonian physics the potential energy is negative and you made it positive.

I don't really follow this. Since gravity is always attractive the binding energy is always negative resulting in a mass deficit, not "a mass more than you actually have". bcrowell is correct, all forms of energy contribute to the invariant mass of a system. The wikipedia article on binding energy and mass deficit is pretty decent. It particular, the 3rd paragraph of the mass deficit section here specifically talks about the case under discussion of two gravitationally bound objects:
http://en.wikipedia.org/wiki/Binding_energy#Mass_deficit

 

[vin300]

It's a language problem.Thought contribution to mass can only mean more mass.
As a correction to post #29,if in an experimental setup a mass could move to higher up in potential, it gains more mass and slows down due to inertia.