caa a22 4500 477037054 CHVBK 20180405111308.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF02433472 doi (NATIONALLICENCE)springer-10.1007/BF02433472 Mittagunta G. Department of Mathematics, University of California, 95064, Santa Cruz, CA, USA aut Reduced spaces for coupled rigid bodies [Elektronische Daten] [G. Mittagunta] Summary: The motion of two identical, axially symmetric coupled rigid bodies with constant linear momentum gives rise to a Hamiltonian system with a fairly large symmetry group, namely,SO(3)×S 1 ×S 1 , which in turn leads to Hamiltonian flows on reduced spaces. In this paper, we illustrate the use of equivariant symplectomorphisms and the reduction in stages procedure in determining the topology of these reduced spaces. It is shown that the reduced spaces corresponding to regular momenta are either two- or four-dimensional and, in the four-dimensional case, the reduced space gets blown up (or blown down) as the momentum value crosses the singular boundary. Springer-Verlag New York Inc., 1996 Journal of Nonlinear Science Springer-Verlag 6/4(1996-07-01), 293-310 0938-8974 6:4<293 1996 6 332 https://doi.org/10.1007/BF02433472 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02433472 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mittagunta G. Department of Mathematics, University of California, 95064, Santa Cruz, CA, USA aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/4(1996-07-01), 293-310 0938-8974 6:4<293 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer