Clock rates and effective potential. This is subject that came up in another thread that was getting "off topic" so I decided to start a new thread. I quoted some formulas that I had informally derived (so they might be wrong) for the relative rates of moving clocks in a gravitational field as: Passionflower gave this alternative equation for the relative clocks: At first glance the formulas do not seem to be in agreement. Passionflower's equation looks a bit like an "effective potential", but that might be a red herring. I am pretty sure that one difference between my equations and the others is that I am using "local velocity" while the others are using coordinate velocity as measured by an observer at infinity. Starthaus gave another version of passionflowers equation as: It would be nice to sort these equations out and see how they relate to each other and fix any errors (even if they are mine). Passionflower also asked which was also getting off topic so I have put that question here too.