This article is about the concept in physics. For the term in astronomy, see Astronomical nutation. For the term in mechanical engineering, see Nutation (engineering). For other uses, see Nutation (disambiguation).
Not to be confused with nunation.
Rotation
Precession
Nutation
in obliquity of a planet
Nutation (from Latin nūtātiō '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 behaviour 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.[1] A pure nutation is a movement of a rotational axis such that the first Euler angle is constant.[citation needed] Therefore it can be seen that the circular red arrow in the diagram indicates the combined effects of precession and nutation, while nutation in the absence of precession would only change the tilt from vertical (second Euler angle). However, in spacecraft dynamics, precession (a change in the first Euler angle) is sometimes referred to as nutation.[2]
^Cite error: The named reference Lowrie was invoked but never defined (see the help page).
^Kasdin, N. Jeremy; Paley, Derek A. (2010). Engineering dynamics : a comprehensive introduction. Princeton, N.J.: Princeton University Press. pp. 526–527. ISBN 9780691135373.
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