We have known about gravity for centuries. The force of gravity can be accurately and easily calculated based on the mass of the bodies involved. We know the mass of the moon, so we know what gravity should be like in its surface.
It is however impossible (so far) to recreate gravity. We can approximate a simulation by acceleration. You can feel something like gravity briefly increase when some elevators start to move; and you can feel it briefly decrease when they decelerate rapidly.
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