Gravitational Potential is a mathematical field (function on space dimensions) that indicates the strength of Gravity's effect on each point in space. It is the amount of energy required per unit mass to move the mass far away (e.g., infinite distance, approximated by a point very distant from any mass). I.e., the Gravitational Potential Energy per unit mass at each point. (An actual object at some point would have that point's gravitational potential times the object's mass as its gravitational potential energy.)
Gravitational potential's gradient is directly related to the acceleration imposed on something at that point, i.e., the force per unit mass.
Gravitational potential is useful for Dynamics and Kinmatics, such as orbital mechanics.
Large Scale Structure (LSS)