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2020 Fixed points and the inverse problem for central configurations
Davide L. Ferrario
Topol. Methods Nonlinear Anal. 56(2): 579-588 (2020). DOI: 10.12775/TMNA.2020.034

Abstract

Central configurations play an important role in the dynamics of the $n$-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 $1$, 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 This survey article introduces readers to the recent results of the author, also unpublished, showing an application of the fixed point theory.

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Davide L. Ferrario. "Fixed points and the inverse problem for central configurations." Topol. Methods Nonlinear Anal. 56 (2) 579 - 588, 2020. https://doi.org/10.12775/TMNA.2020.034

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Published: 2020
First available in Project Euclid: 10 December 2020

Digital Object Identifier: 10.12775/TMNA.2020.034

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.56 • No. 2 • 2020
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