How will two objects with gravitaional potential energy between them tend to move?

Answer 1

In the absence of any other outside forces, any two objects that have mass will have a gravitational force acting between them which will tend to pull them towards each other.
F=Gm1m2/r²
where F is force (in Newtons)
G is 6.67259 X10^(-11) (m^3/kgs² called the Universal Gravitational Constant)
m1 and m2 are the two masses (in kg)
and r is the distance between them (in meters)

HTH

Doug

Answer 2

one will orbit the other or one will draw it in.