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Volumn 53, Issue 3, 2005, Pages 259-274

Relative equilibria for the generalized rigid body

Author keywords

Generalized rigid body; Relative equilibrium; Saari's Conjecture

Indexed keywords


EID: 10844279294     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2004.06.007     Document Type: Article
Times cited : (19)

References (24)
  • 2
    • 0001356905 scopus 로고
    • Sur la géométrie differentielle des groupes de Lie de dimenson infinie et ses applications à l'hydrodynamique des fluids parfaits
    • V.I. Arnold Sur la géométrie differentielle des groupes de Lie de dimenson infinie et ses applications à l'hydrodynamique des fluids parfaits Ann. Inst. Fourier, Grenoble 16 1966 319-361
    • (1966) Ann. Inst. Fourier, Grenoble , vol.16 , pp. 319-361
    • Arnold, V.I.1
  • 3
    • 0042931343 scopus 로고    scopus 로고
    • The symmetric representation of the rigid body equations and their discretization
    • A.M. Bloch P. Crouch J.E. Marsden T.S. Ratiu The symmetric representation of the rigid body equations and their discretization Nonlinearity 15 2002 1309-1341
    • (2002) Nonlinearity , vol.15 , pp. 1309-1341
    • Bloch, A.M.1    Crouch, P.2    Marsden, J.E.3    Ratiu, T.S.4
  • 4
    • 0842337250 scopus 로고    scopus 로고
    • Action minimizing periodic orbits in the Newtonian n-body problem
    • A. Chenciner, et al. (Eds.) Evanston, IL, 1999, Contemp. Math. Celestial Mechanics Providence, RI
    • A. Chenciner, Action minimizing periodic orbits in the Newtonian n-body problem, in: A. Chenciner, et al. (Eds.), Celestial Mechanics, Evanston, IL, 1999, Contemp. Math. 292, Amer. Math. Soc., Providence, RI, 2002, pp. 71-90
    • (2002) Amer. Math. Soc. , vol.292 , pp. 71-90
    • Chenciner, A.1
  • 5
    • 0242605027 scopus 로고    scopus 로고
    • Some facts and more questions about the "eight"
    • et al. (Ed.), Taiyuan, 2002 Taiyuan, 2002 World Sci. Publishing River Edge, NJ
    • A. Chenciner Some facts and more questions about the "eight"; in: H. Brezis et al. (Ed.), Topological Methods, Variational Methods and Their Applications, Taiyuan, 2002 2003 World Sci. Publishing River Edge, NJ 77-88
    • (2003) Topological Methods, Variational Methods and Their Applications , pp. 77-88
    • Chenciner, A.1
  • 7
    • 0042524642 scopus 로고    scopus 로고
    • Stability analysis of some integrable Euler equations for SO(n)
    • L. Fehér I. Marshall Stability analysis of some integrable Euler equations for SO(n) J. Nonlinear Math. Phys. 10 2003 304-317
    • (2003) J. Nonlinear Math. Phys. , vol.10 , pp. 304-317
    • Fehér, L.1    Marshall, I.2
  • 9
    • 0035531327 scopus 로고    scopus 로고
    • Computing the inertia operator of a rigid body
    • W. Lawton L. Noakes Computing the inertia operator of a rigid body J. Math. Phys. 42 2001 1655-1665
    • (2001) J. Math. Phys. , vol.42 , pp. 1655-1665
    • Lawton, W.1    Noakes, L.2
  • 10
    • 8744219711 scopus 로고    scopus 로고
    • Saari's Conjecture holds for the planar 3-body problem
    • preprint
    • J. Llibre, E. Piña, Saari's Conjecture holds for the planar 3-body problem, 2002, preprint.
    • (2002)
    • Llibre, J.1    Piña, E.2
  • 11
    • 33748853933 scopus 로고
    • Note on the integration of Euler's equations of the dynamics of and n-dimensional rigid body
    • S.V. Manakov Note on the integration of Euler's equations of the dynamics of and n-dimensional rigid body Funct. Anal. and its Appl. 10 1976 328-329
    • (1976) Funct. Anal. and Its Appl. , vol.10 , pp. 328-329
    • Manakov, S.V.1
  • 13
    • 0003274786 scopus 로고    scopus 로고
    • Introduction to Mechanics and Symmetry
    • second ed. Springer-Verlag, Berlin
    • J.E. Marsden, T.S. Ratiu, Introduction to Mechanics and Symmetry, Texts in Applied Mathematics, second ed., vol. 17, Springer-Verlag, Berlin, 1999.
    • (1999) Texts in Applied Mathematics , vol.17
    • Marsden, J.E.1    Ratiu, T.S.2
  • 14
    • 49549151837 scopus 로고
    • Reduction of symplectic manifolds with symmetry
    • J.E. Marsden A. Weinstein Reduction of symplectic manifolds with symmetry Rep. Math. Phys. 5 1974 121-130
    • (1974) Rep. Math. Phys. , vol.5 , pp. 121-130
    • Marsden, J.E.1    Weinstein, A.2
  • 15
    • 4043139314 scopus 로고    scopus 로고
    • Saari's Conjecture for the planar three-body problem with equal masses
    • C. McCord, Saari's Conjecture for the planar three-body problem with equal masses, Celestial Mech. Dynam. Astronom. 89 (2004) 99-119.
    • (2004) Celestial Mech. Dynam. Astronom. , vol.89 , pp. 99-119
    • McCord, C.1
  • 16
    • 23244462034 scopus 로고    scopus 로고
    • A computer assisted proof of Saari's Conjecture for the planar three-body problem
    • to appear in
    • R. Moeckel, A computer assisted proof of Saari's Conjecture for the planar three-body problem, to appear in Trans. Amer. Math. Soc.
    • Trans. Amer. Math. Soc.
    • Moeckel, R.1
  • 17
    • 0001229661 scopus 로고
    • Sur une forme nouvelle des équations de la méchanique
    • H. Poincaré Sur une forme nouvelle des équations de la méchanique C. R. Acad. Sci. 132 1901 369-371
    • (1901) C. R. Acad. Sci. , vol.132 , pp. 369-371
    • Poincaré, H.1
  • 18
    • 0000896226 scopus 로고
    • The motion of the free n-dimensional rigid body
    • T. Ratiu The motion of the free n-dimensional rigid body Indiana Univ. Math. J. 29 1980 609-629
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 609-629
    • Ratiu, T.1
  • 19
    • 10844288613 scopus 로고    scopus 로고
    • Some counterexamples to a Generalized Saari's Conjecture to appear
    • G. Roberts, Some counterexamples to a Generalized Saari's Conjecture, to appear in Trans. Amer. Math. Soc.
    • Trans. Amer. Math. Soc.
    • Roberts, G.1
  • 20
    • 4043117715 scopus 로고
    • On bounded solutions of the n-body problem
    • G. Giacaglia D. Riedel (Ed.), Dordrecht
    • D. Saari On bounded solutions of the n-body problem in: G. Giacaglia (Ed.), Periodic Orbits, Stability and Resonances 1970 D. Riedel Dordrecht 76-81
    • (1970) Periodic Orbits, Stability and Resonances , pp. 76-81
    • Saari, D.1
  • 21
    • 10844297240 scopus 로고    scopus 로고
    • A counterexample to a Generalized Saari's Conjecture with a continuum of central configurations
    • to appear in
    • M. Santoprete, A counterexample to a Generalized Saari's Conjecture with a continuum of central configurations, to appear in Celestial Mech. Dynam. Astronom.
    • Celestial Mech. Dynam. Astronom.
    • Santoprete, M.1
  • 22
    • 0002985376 scopus 로고
    • Stability of relative equilibria. Part I. The reduced energy momentum method
    • J.C. Simo D.R. Lewis J.E. Marsden Stability of relative equilibria. Part I. The reduced energy momentum method Arch. Ration. Mech. Anal. 115 1991 15-59
    • (1991) Arch. Ration. Mech. Anal. , vol.115 , pp. 15-59
    • Simo, J.C.1    Lewis, D.R.2    Marsden, J.E.3
  • 23
    • 22244441450 scopus 로고
    • Topology and mechanics
    • S. Smale Topology and mechanics Invent. Math. 10 1970 305-331
    • (1970) Invent. Math. , vol.10 , pp. 305-331
    • Smale, S.1
  • 24
    • 22244456049 scopus 로고
    • Topology and mechanics
    • S. Smale Topology and mechanics Invent. Math. 11 1970 45-64
    • (1970) Invent. Math. , vol.11 , pp. 45-64
    • Smale, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.