Central configurations play an important role in the dynamics of the nnn-body problem: they occur as relative equilibria and as asymptotic configurations in colliding trajectories. We illustrate how they can be found as projective fixed points of self-maps defined on the shape space, and some results on the inverse problem in dimension 111, i.e. finding (positive or real) masses which make a given collinear configuration central. This survey article introduces readers to the recent results of the author, also unpublished, showing an application of the fixed point theory.

Ferrario, D. (2020). Fixed Points and the Inverse Problem for Central Configurations. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 56(2), 579-588 [10.12775/TMNA.2020.034].

Fixed Points and the Inverse Problem for Central Configurations

Ferrario, Davide L.
2020

Abstract

Central configurations play an important role in the dynamics of the nnn-body problem: they occur as relative equilibria and as asymptotic configurations in colliding trajectories. We illustrate how they can be found as projective fixed points of self-maps defined on the shape space, and some results on the inverse problem in dimension 111, i.e. finding (positive or real) masses which make a given collinear configuration central. This survey article introduces readers to the recent results of the author, also unpublished, showing an application of the fixed point theory.
Articolo in rivista - Articolo scientifico
n body problem; multi-valued map; central configuration; inverse problem;
English
2020
56
2
579
588
reserved
Ferrario, D. (2020). Fixed Points and the Inverse Problem for Central Configurations. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 56(2), 579-588 [10.12775/TMNA.2020.034].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/297044
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