Gravity

Gravity changes velocity continuously. Near the Moon's surface the acceleration is about 1.62 m/s².

gMoon ≈ 1.62 m/s²

Thrust

Thrust is a force. Acceleration depends on both thrust and current spacecraft mass: a = F/m.

a = F / m

Orbital motion

An orbit is continuous free fall. At a given radius, circular orbital speed is v = √(GM/r).

v = √(GM/r)

Rocket equation

Finite propellant limits maneuvering. Available delta-v follows Δv = Isp × g0 × ln(m0/mf).

Δv = Isp × g0 × ln(m0/mf)