Relaxation oscillations in tidally evolving satellites
type: Item
instance of: scholarly article
title: Relaxation oscillations in tidally evolving satellites
zbMATH Open document ID: 0922.70018
DOI: 10.1023/A:1008240717133
author: Brett Gladman
author: Phil Nicholson
author: D. D. Quinn
author: Richard Rand
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1999-10-10T00:00:00Z
review text: The authors study the problem of rotational evolution of an axisymmetric natural satellite in an orbit inclined with respect to an invariant plane under the influence of tidal torques. It is shown that the equations of motion, averaged with respect to the spin and orbit variables, possess a limit cycle that corresponds to an alternation between states of synchronous spin at low obliquity and subsynchronous spin at high obliquities of near \(90^\circ\). Conditions for the existence of this limit cycle are found. It is shown numerically that triaxial satellites may also exhibit such limit cycle dynamics, but only at very high inclinations and for large values of tidal dissipation.
reviewed by: Simos Ichtiaroglou
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 1138612
zbMATH Keywords: tidal despinning
zbMATH Keywords: invariant plane
zbMATH Keywords: Cassini states
zbMATH Keywords: limit cycle
zbMATH Keywords: synchronous spin
zbMATH Keywords: subsynchronous spin
describes a project that uses: AUTO-86
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1138612