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Action minimizing solutions of the Newtonian n-body problem: from homology to symmetry
Chenciner, Alain
HAL, hal-00145797 / Harvested from HAL
Text on HAL
An action minimizing path between two given configurations, spatial or planar, of the $n$-body problem is always a true -- collision-free -- solution. Based on a remarkable idea of Christian Marchal, this theorem implies the existence of new "simple" symmetric periodic solutions, among which the Eight for 3 bodies, the Hip-Hop for 4 bodies and their generalizations.
Publié le : 2002-07-05
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00145797,
     author = {Chenciner, Alain},
     title = {Action minimizing solutions of the Newtonian n-body problem: from homology to symmetry},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00145797}
}

Chenciner, Alain. Action minimizing solutions of the Newtonian n-body problem: from homology to symmetry. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00145797/