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Steady Rigid-Body Motions in a Central Gravitational Field

dc.contributor.authorWang, L.S.en_US
dc.contributor.authorMaddocks, J.H.en_US
dc.contributor.authorKrishnaprasad, Perinkulam S.en_US
dc.description.abstractIn recent work, the exact dynamic equations for the motion of a finite rigid body in a central gravitational field were shown to be of Hamiltonian form with a noncanonical structure. In this paper, the notion of relative equilibrium is introduced based upon this exact model. In relative equilibrium, the orbit of the center of mass of the rigid body is a circle, but the center of attraction may or may not lie at the center of the orbit. This feature is used to classify great-circle and non-great-circle orbits. The existence of non-great-circle relative equilibria for the exact model is proved from various variational principles. While the orbital offset of the non-great-circle solutions is necessarily small, a numerical study reveals that there can be significant changes in orientation away from the classic Lagrange relative equilibria, which are solutions of an approximate model.en_US
dc.format.extent1616436 bytes
dc.relation.ispartofseriesISR; TR 1991-50en_US
dc.subjectgeometric controlen_US
dc.subjectnonlinear systemsen_US
dc.subjectspace structuresen_US
dc.subjectintelligent servoen_US
dc.subjectrelative equilibriaen_US
dc.subjectHamiltonian dynamicsen_US
dc.subjectIntelligent Servomechanismsen_US
dc.titleSteady Rigid-Body Motions in a Central Gravitational Fielden_US
dc.typeTechnical Reporten_US

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