Minimization properties of Hill's orbits and applications to some N-body problems

Gianni Arioli; Filippo Gazzola; Susanna Terracini

Annales de l'I.H.P. Analyse non linéaire (2000)

  • Volume: 17, Issue: 5, page 617-650
  • ISSN: 0294-1449

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Arioli, Gianni, Gazzola, Filippo, and Terracini, Susanna. "Minimization properties of Hill's orbits and applications to some N-body problems." Annales de l'I.H.P. Analyse non linéaire 17.5 (2000): 617-650. <http://eudml.org/doc/78503>.

@article{Arioli2000,
author = {Arioli, Gianni, Gazzola, Filippo, Terracini, Susanna},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Hill's orbits; non-collision orbits; minima of action functional; periodic problem; planar -body systems},
language = {eng},
number = {5},
pages = {617-650},
publisher = {Gauthier-Villars},
title = {Minimization properties of Hill's orbits and applications to some N-body problems},
url = {http://eudml.org/doc/78503},
volume = {17},
year = {2000},
}

TY - JOUR
AU - Arioli, Gianni
AU - Gazzola, Filippo
AU - Terracini, Susanna
TI - Minimization properties of Hill's orbits and applications to some N-body problems
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2000
PB - Gauthier-Villars
VL - 17
IS - 5
SP - 617
EP - 650
LA - eng
KW - Hill's orbits; non-collision orbits; minima of action functional; periodic problem; planar -body systems
UR - http://eudml.org/doc/78503
ER -

References

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  12. [12] Meyer K.R., Hall G.R., Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, Springer, 1991. Zbl0743.70006MR1140006
  13. [ 13] Moser J., Stable and Random Motions in Dynamical Systems, Princeton Univ. Press, 1973. Zbl0271.70009MR442980
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  15. [15] Sbano L., Collision solutions of the planar Newtonian three-body problem are not minima of the action functional, Nonlin. Diff. Eq. Appl. (1998). 
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  17. [17] Serra E., Terracini S., Noncollision solutions to some singular minimization problems with Keplerian-like potentials, Nonlin. Anal. TMA22 (1) (1994) 45-62. Zbl0813.70006MR1256169

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