Gravitation is one of the four fundamental forces, governed by Newton's law F = ^2. The gravitational constant G = 6.674 x 10^{-11} N*/ is universal, and the force is always attractive.
Gravitational field (E = ^2) and potential (V = -GM/r) describe the effect of a mass on surrounding space. The field is a vector; potential is a scalar (always negative). At Earth's surface, g = 9.8 m/.
g varies with height (inverse-square: = gR^^2) and depth (linear: = g(1-d/R)). The approximation ≈ g(1-2h/R) works only for h << R.
Escape velocity ( = sqrt(2gR) = 11.2 km/s) is independent of mass and direction. Orbital velocity ( = sqrt(gR) near surface) relates by = sqrt(2)*.
Kepler's laws govern planetary motion: elliptical orbits (1st), equal areas in equal times (2nd, angular momentum conservation), and proportional to (3rd). Satellite energetics: KE = , PE = -GMm/r, Total E = -.