Colombo's top

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Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..40..345h&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 40, no. 3-4, 1987, p. 345-366.

Mathematics

Dynamical Systems

34

Analytic Functions, Axisymmetric Bodies, Dynamical Systems, Planetary Rotation, Satellite Rotation, Angular Velocity, Axes Of Rotation, Center Of Mass, Euler Equations Of Motion, Hamiltonian Functions, Precession

Scientific paper

The authors analyse in detail a simple dynamical system proposed by G. Colombo for the description of the rotational state of planets and satellites. They show that the derivatives of the critical areas are simple analytical functions of the parameters of the problem. These quantities are instrumental in computing the probabilities of capture of the precession of the spin axis in resonance with the precession of the orbit.

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