Gravitational potential energy is the [[Energy|energy]] associated with displacing an object a vertical [[Distance|distance]] within a gravitational field. Gravitational potential energy is [[Path Dependence|path independent]]. $\Delta P=\sum m_egz_e−\sum m_igz_i$ Where: - $\Delta P$ is the change in gravitational potential energy - $m_e$ and $m_i$ are the final and initial [[Mass|masses]] of the system respectively - $g$ is [[Local Gravitational Acceleration|local gravitational acceleration]] - $z_e$ and $z_i$ are the final and initial heights of the system respectively