
The slow rotation of a spinning object's axis around another axis, as seen in magnetic moments in a field.Precession is the slow, conical rotation of a spinning object's axis around another axis, caused by an external torque. In physics, it is most familiar from a spinning top, whose axis wobbles as gravity pulls on it. In the quantum world, precession appears in magnetic moments—the intrinsic spin of particles like electrons or nuclei—when they are placed in a magnetic field. This phenomenon is central to understanding how magnetic fields interact with matter, from the behavior of atomic spins in materials to the alignment of dark matter particles in the early universe.
The classical theory of precession was developed by Isaac Newton and later refined by Jean-Baptiste Biot and Félix Savart in the 19th century. The quantum mechanical treatment of spin precession was established by Wolfgang Pauli and others in the 1920s.
When a spinning object experiences a torque perpendicular to its angular momentum, the torque changes the direction of the angular momentum rather than its magnitude. This causes the axis to trace out a cone over time. For a magnetic moment in a magnetic field, the torque is proportional to the cross product of the magnetic moment and the field, leading to a precession at the Larmor frequency. The rate of precession depends on the strength of the field and the gyromagnetic ratio of the particle.
Precession is the basis for magnetic resonance imaging (MRI), where hydrogen nuclei in the body precess in a strong magnetic field, and for gyroscopes used in navigation systems.
The Earth's axis precesses over a 26,000-year cycle, causing the position of the North Star to shift over time.







