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Volumn 155, Issue 2, 2004, Pages 305-362

On the existence of collisionless equivariant minimizers for the classical n-body problem

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EID: 0842325119     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-003-0322-7     Document Type: Article
Times cited : (185)

References (36)
  • 1
    • 0003288355 scopus 로고
    • Critical points and nonlinear variational problems
    • Ambrosetti, A.: Critical points and nonlinear variational problems. Mém. Soc. Math. Fr.,Nouv. Sér. 49, 139 (1992)
    • (1992) Mém. Soc. Math. Fr.,Nouv. Sér. , vol.49 , pp. 139
    • Ambrosetti, A.1
  • 5
    • 0001101705 scopus 로고
    • Symmetries and noncollision closed orbits for planar N-body-type problems
    • Bessi, U., Coti Zelati, V.: Symmetries and noncollision closed orbits for planar N-body-type problems. Nonlinear Anal. 16, 587-598 (1991)
    • (1991) Nonlinear Anal. , vol.16 , pp. 587-598
    • Bessi, U.1    Coti Zelati, V.2
  • 6
    • 0035645193 scopus 로고    scopus 로고
    • Action-minimizing orbits in the parallelogram four-body problem with equal masses
    • Chen, K.-C.: Action-minimizing orbits in the parallelogram four-body problem with equal masses. Arch. Ration. Mech. Anal. 158, 293-318 (2001)
    • (2001) Arch. Ration. Mech. Anal. , vol.158 , pp. 293-318
    • Chen, K.-C.1
  • 8
    • 54649083849 scopus 로고    scopus 로고
    • Collisions totales, mouvements complètement paraboliques et réduction des homothéties dans le problème des n corps
    • J. Moser at 70 (Russian)
    • Chenciner, A.: Collisions totales, mouvements complètement paraboliques et réduction des homothéties dans le problème des n corps. Regul. Chaotic Dyn. 3, 93-106 (1998) J. Moser at 70 (Russian)
    • (1998) Regul. Chaotic Dyn. , vol.3 , pp. 93-106
    • Chenciner, A.1
  • 9
    • 0842337250 scopus 로고    scopus 로고
    • Action minimizing periodic orbits in the Newtonian n-body problem
    • Evanston, IL, 1999 Providence, RI: Am. Math. Soc.
    • Chenciner, A.: Action minimizing periodic orbits in the Newtonian n-body problem. In: Celestial mechanics (Evanston, IL, 1999), pp. 71-90. Providence, RI: Am. Math. Soc. 2002
    • (2000) Celestial Mechanics , pp. 71-90
    • Chenciner, A.1
  • 11
    • 0842272602 scopus 로고    scopus 로고
    • Simple non-planar periodic solutions of the n-body problem
    • Kyoto
    • Chenciner, A.: Simple non-planar periodic solutions of the n-body problem. In: Proceedings of the NDDS Conference, Kyoto 2002
    • (2002) Proceedings of the NDDS Conference
    • Chenciner, A.1
  • 13
    • 0034310142 scopus 로고    scopus 로고
    • A remarkable periodic solution of the three-body problem in the case of equal masses
    • Chenciner, A., Montgomery, R.: A remarkable periodic solution of the three-body problem in the case of equal masses. Ann. Math. (2) 152, 881-901 (2000)
    • (2000) Ann. Math. (2) , vol.152 , pp. 881-901
    • Chenciner, A.1    Montgomery, R.2
  • 15
    • 85067946483 scopus 로고
    • Direct methods in the calculus of variations
    • Berlin: Springer
    • Dacorogna, B.: Direct methods in the calculus of variations, vol. 78 of Applied Mathematical Sciences. Berlin: Springer 1989
    • (1989) Applied Mathematical Sciences , vol.78
    • Dacorogna, B.1
  • 16
    • 0842315734 scopus 로고    scopus 로고
    • Non-collision periodic solutions of the N-boay system
    • Dell'Antonio, G.: Non-collision periodic solutions of the N-boay system. NoDEA, Nonlinear Differ. Equ. Appl. 5, 117-136 (1998)
    • (1998) NoDEA, Nonlinear Differ. Equ. Appl. , vol.5 , pp. 117-136
    • Dell'Antonio, G.1
  • 17
    • 0000656296 scopus 로고
    • Collision singularities in celestial mechanics
    • ElBialy, M.S.: Collision singularities in celestial mechanics. SIAM J. Math. Anal. 21, 1563-1593 (1990)
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1563-1593
    • Elbialy, M.S.1
  • 20
    • 84967782996 scopus 로고
    • Conservative dynamical systems involving strong forces
    • Gordon, W.B.: Conservative dynamical systems involving strong forces. Trans. Am. Math. Soc. 204, 113-135 (1975)
    • (1975) Trans. Am. Math. Soc. , vol.204 , pp. 113-135
    • Gordon, W.B.1
  • 21
    • 84990642306 scopus 로고
    • On the existence of infinitely many periodic solutions to some problems of n-body type
    • Majer, P., Terracini, S.: On the existence of infinitely many periodic solutions to some problems of n-body type. Commun. Pure Appl. Math. 48, 449-470 (1995)
    • (1995) Commun. Pure Appl. Math. , vol.48 , pp. 449-470
    • Majer, P.1    Terracini, S.2
  • 22
    • 0042227585 scopus 로고    scopus 로고
    • 12 of the three-body problem - The simplest family of periodic orbits, with twelve symmetries per period
    • New developments in the dynamics of planetary systems (Badhofgastein, 2000)
    • 12 of the three-body problem - the simplest family of periodic orbits, with twelve symmetries per period. Celest. Mech. Dyn. Astron. 78, 1-4 (2000), 279-298 (2001). New developments in the dynamics of planetary systems (Badhofgastein, 2000)
    • (2000) Celest. Mech. Dyn. Astron. , vol.78 , Issue.1-4
    • Marchal, C.1
  • 23
    • 0036374006 scopus 로고    scopus 로고
    • How the method of minimization of action avoids singularities
    • Marchal, C.: How the method of minimization of action avoids singularities. Celest. Mech. Dyn. Astron. 83, 325-353 (2002)
    • (2002) Celest. Mech. Dyn. Astron. , vol.83 , pp. 325-353
    • Marchal, C.1
  • 24
    • 0041179241 scopus 로고    scopus 로고
    • The N-body problem, the braid group, and action-minimizing periodic solutions
    • Montgomery, R.: The N-body problem, the braid group, and action-minimizing periodic solutions. Nonlinearity 11, 363-376 (1998)
    • (1998) Nonlinearity , vol.11 , pp. 363-376
    • Montgomery, R.1
  • 25
    • 0842272601 scopus 로고    scopus 로고
    • Action spectrum and collisions in the planar three-body problem
    • Celestial mechanics (Evanston, IL, 1999), Providence, RI: Am. Math. Soc.
    • Montgomery, R.: Action spectrum and collisions in the planar three-body problem. In: Celestial mechanics (Evanston, IL, 1999), vol. 292 of Contemp. Math., pp. 173-184. Providence, RI: Am. Math. Soc. 2002
    • (2002) Contemp. Math. , vol.292 , pp. 173-184
    • Montgomery, R.1
  • 26
    • 0000235054 scopus 로고
    • Braids in classical dynamics
    • Moore, C.: Braids in classical dynamics. Phys. Rev. Lett. 70, 3675-3679 (1993)
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 3675-3679
    • Moore, C.1
  • 27
    • 0002783768 scopus 로고
    • The principle of symmetric criticality
    • Palais, R.S.: The principle of symmetric criticality. Commun. Math. Phys. 69, 19-30 (1979)
    • (1979) Commun. Math. Phys. , vol.69 , pp. 19-30
    • Palais, R.S.1
  • 28
    • 0242693642 scopus 로고
    • Sur les solutions périodiques et le principe de moindre action
    • Poincaré, H.: Sur les solutions périodiques et le principe de moindre action. C. R. Acad. Sci., Paris, Sér. I, Math. 123, 915-918 (1896)
    • (1896) C. R. Acad. Sci., Paris, Sér. I, Math. , vol.123 , pp. 915-918
    • Poincaré, H.1
  • 29
    • 0032622860 scopus 로고    scopus 로고
    • Study of the critical points at infinity arising from the failure of the Palais-Smale condition for n-body type problems
    • viii+112
    • Riahi, H.: Study of the critical points at infinity arising from the failure of the Palais-Smale condition for n-body type problems. Mem. Am. Math. Soc. 138, 658 (1999), viii+112
    • (1999) Mem. Am. Math. Soc. , vol.138 , pp. 658
    • Riahi, H.1
  • 30
    • 0242609543 scopus 로고    scopus 로고
    • The topology of the planar three-body problem with zero total angular momentum and the existence of periodic orbits
    • Sbano, L.: The topology of the planar three-body problem with zero total angular momentum and the existence of periodic orbits. Nonlinearity 11, 641-658 (1998)
    • (1998) Nonlinearity , vol.11 , pp. 641-658
    • Sbano, L.1
  • 31
    • 21144465413 scopus 로고
    • Collisionless periodic solutions to some three-body problems
    • Serra, E., Terracini, S.: Collisionless periodic solutions to some three-body problems. Arch. Ration. Mech. Anal. 120, 305-325 (1992)
    • (1992) Arch. Ration. Mech. Anal. , vol.120 , pp. 305-325
    • Serra, E.1    Terracini, S.2
  • 32
    • 0002619266 scopus 로고
    • Noncollision solutions to some singular minimization problems with Keplerian-like potentials
    • Serra, E., Terracini, S.: Noncollision solutions to some singular minimization problems with Keplerian-like potentials. Nonlinear Anal. 22, 45-62 (1994)
    • (1994) Nonlinear Anal. , vol.22 , pp. 45-62
    • Serra, E.1    Terracini, S.2
  • 33
    • 84941471128 scopus 로고
    • On the real singularities of the N-body problem
    • Sperling, H. J.: On the real singularities of the N-body problem. J. Reine Angew. Math. 245,15-40(1970)
    • (1970) Reine Angew. Math. , vol.245 , pp. 15-40
    • Sperling, H.J.1
  • 36
    • 0012986909 scopus 로고
    • The Analytical Foundations of Celestial Mechanics
    • Princeton, N.J.: Princeton University Press
    • Wintner, A.: The Analytical Foundations of Celestial Mechanics. Princeton Mathematical Series, v. 5., Princeton, N.J.: Princeton University Press 1941
    • (1941) Princeton Mathematical Series , vol.5
    • Wintner, A.1


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