Angular momentum conservation for rigid bodies is one of the most important principles in rotational mechanics. This law states that when no external torque acts on a rotating system, the total angular momentum of the system remains constant over time. This principle applies to everything from spinning tops to planets orbiting the sun.
The mathematical definition of angular momentum for a rigid body is L equals I omega, where L is the angular momentum vector, I is the moment of inertia, and omega is the angular velocity vector. The moment of inertia depends on how the mass is distributed relative to the rotation axis, while angular velocity describes how fast the object is rotating.