Artículo
A generalized Montgomery phase formula for rotating self-deforming bodies
Fecha de publicación:
04/2007
Editorial:
Elsevier Science
Revista:
Journal Of Geometry And Physics
ISSN:
0393-0440
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We 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 , 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.
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Articulos(CCT - LA PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Citación
Cabrera, Alejandro; A generalized Montgomery phase formula for rotating self-deforming bodies; Elsevier Science; Journal Of Geometry And Physics; 57; 5; 4-2007; 1405-1420
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