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- W3038664707 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 This survey article introduces readers to the recent results of the author, also unpublished, showing an application of the fixed point theory." @default.
- W3038664707 created "2020-07-10" @default.
- W3038664707 creator A5073676928 @default.
- W3038664707 date "2020-07-03" @default.
- W3038664707 modified "2023-10-18" @default.
- W3038664707 title "Fixed points and the inverse problem for central configurations" @default.
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- W3038664707 doi "https://doi.org/10.48550/arxiv.2007.01741" @default.
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