WOLFRAM|DEMONSTRATIONS PROJECT

Euler Angles: Precession, Nutation, and Spin

precession angle

0

nutation angle

0

spin angle

0

Here a gyroscope is used to illustrate the Euler angles in a 3-2-3 rotation. The outer ring is fixed in space. The angles are generally designated

ψ

,

θ

,

ϕ

or

α

,

β

,

γ

.