ON THE USE OF POINCARE SURFACES OF SECTION IN RIGID-BODY MOTION

Authors
BROUCKE RA
Citation
Ra. Broucke, ON THE USE OF POINCARE SURFACES OF SECTION IN RIGID-BODY MOTION, The Journal of the astronautical sciences, 41(4), 1993, pp. 593-601
Citations number
16
Categorie Soggetti
Aerospace Engineering & Tecnology
Journal title
The Journal of the astronautical sciences → ACNP
ISSN journal
00219142
Volume
41
Issue
4
Year of publication
1993
Pages
593 - 601
Database
ISI
SICI code
0021-9142(1993)41:4<593:OTUOPS>2.0.ZU;2-5
Abstract
Poincare sections are used to classify rigid-body motion into quasi-pe riodic and chaotic solutions. A seven-dimensional parameter set is int roduced for the attitude and kinematic variables, which is reduced to a two-dimensional set which is amenable to phase-plane analysis. This analysis is applied to the motion of a free asymmetric rigid body in s pace. The extension to gravity-gradient torque problems is shown.