On free nutation of the rotation vector of a rigid body

Details On free nutation of the rotation vector of a rigid body On free nutation of the rotation vector of a rigid body

Sep 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979stgg...23..205b&link_type=abstract

Studia Geophysica et Geodaetica, vol. 23, no. 3, 1979, p. 205-209.

Astronomy and Astrophysics

Astronomy

2

Body Kinematics, Nutation, Rotating Bodies, Space Mechanics, Ellipticity, Euler Equations Of Motion, Vector Analysis

Scientific paper

This paper proves that the free nutational motion of the vector of instantaneous rotation of a perfectly rigid body can never be exactly elliptical. The motion is shown to be ideally circular in cases where the modulus of the elliptical function, k-squared, is exactly zero. In the case of earth it is found that the modulus k-squared is negligibly small and that the flattening of the corresponding ellipse is also small, to the extent that the 'ellipticity' of the free nutational motion of earth's instantaneous rotation vector cannot be detected by modern astrometric means.

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