Projectile motion position

Velocity difference

Centripital acceleration in uniform circular motion
a = v2 / r
Rotational kinetic energy

Spring potential energy
1/2 kx2
Change in potential energy in a conservative field

Force of a potential
F = -∇U
Work force relationship

Angular velocity
v = Rω
Angular momentum
L = r x p
= Iω
Torque
T = r x F
= dL / dt
Coriolis force

Centrifugal force

Moment of inertia

Parallel axis theorem
I = ICM + Mr2
Center of mass

Lagrangian

Euler-Lagrange equation

Conjugate momentum

Hamiltonian

Hamilton’s equations

Orbital Lagrangian

Orbital angular momentum

Orbital effective potential
