Details

Autor(en) / Beteiligte

• Maderna, E.
• Venturelli, A.

Titel

Globally Minimizing Parabolic Motions in the Newtonian N-body Problem

Ist Teil von

• Archive for rational mechanics and analysis, 2009-10, Vol.194 (1), p.283-313

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2009

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We consider the N -body problem in with the Newtonian potential 1/ r . We prove that for every initial configuration x i and for every minimizing normalized central configuration x 0 , there exists a collision-free parabolic solution starting from x i and asymptotic to x 0 . This solution is a minimizer in every time interval. The proof exploits the variational structure of the problem, and it consists in finding a convergent subsequence in a family of minimizing trajectories. The hardest part is to show that this solution is parabolic and asymptotic to x 0 .