Gravitational acceleration characterizes the strength of a gravitational field. The formula quantifies the gravitational field in terms of its influence on the acceleration of a second body.
The elementary formula can be derived from the historical gravitational acceleration formula which uses the gravitational constant. The historical form of the equation
can be re-stated in elementary form by replacing the gravitational constant with natural units of length, mass, and time. The elementary formula
can then be grouped into operators and potentials
The following illustration shows how the historical formula transforms into the natural formula with operators and potential.
Gravitational acceleration: conversion from historical to natural formula