dc.creatorCabrera, Alejandra Fabiana
dc.date2007
dc.date2019-10-09T17:30:06Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/82971
dc.identifierissn:0393-0440
dc.descriptionWe study the motion of self-deforming bodies with non-zero angular momentum when the changing shape is known as a function of time. The conserved angular momentum with respect to the center of mass, when seen from a rotating frame, describes a curve on a sphere as happens for the rigid body motion, though obeying a more complicated non-autonomous equation. We observe that if, after time Δ T, this curve is simple and closed, the deforming body's orientation in space is fully characterized by an angle or phase θM. We also give a reconstruction formula for this angle which generalizes R, Montgomery's well known formula for the rigid body phase. Finally, we apply these techniques to obtain analytical results on the motion of deforming bodies in some concrete examples.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.format1405-1420
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectMatemática
dc.subjectClassical mechanics
dc.subjectDeformable bodies
dc.subjectReal and complex differential geometry
dc.subjectReconstruction phases
dc.subjectTime dependent non-integrable classical systems
dc.titleA generalized Montgomery phase formula for rotating self-deforming bodies
dc.typeArticulo
dc.typePreprint


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