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  4. Chaotic attitude oscillations of a satellite filled with a rotating ellipsoidal mass of liquid subject to gravity-gradient torques
 
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Chaotic attitude oscillations of a satellite filled with a rotating ellipsoidal mass of liquid subject to gravity-gradient torques

Author(s)
Leung, Andrew Yee Tak  
Author(s)
Kuang, J.
Tan, S.
Date Issued
2004
Publisher
AIP Publishing
Journal
Chaos: An Interdisciplinary Journal of Nonlinear Science
Volume
14
Issue
1
Start page
111
End page
117
Abstract
The Hamiltonian equations of a liquid-filled satellite subject to gravity-gradient torques in terms of the generalized Deprit variables are established for applying the Melnikov theory formally. The heteroclinic orbits of the torque-free symmetric liquid-filled satellite are found. A criterion for the heteroclinic transversal intersections at the onset of chaotic attitude is formulated using Melnikov’s integral. The results from the Melnikov theory are crosschecked with simulation.
URI
https://repository.sfu.edu.hk/handle/sfu/2698
DOI
10.1063/1.1629171
SFU Affiliated Publication
No
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