Nutation (from
Latin nutatio, "nodding, swaying") is a rocking, swaying, or nodding motion in the
axis of rotation of a largely axially symmetric object, such as a
gyroscope,
planet, or
bullet in flight, or as an intended behavior of a mechanism. In an appropriate
reference frame it can be defined as a change in the second Euler angle. If it is not caused by forces external to the body, it is called
free nutation or
Euler nutation. A
pure nutation is a movement of a rotational axis such that the first Euler angle is constant. In spacecraft dynamics,
precession (a change in the first Euler angle) is sometimes referred to as nutation.