Article
On the central configurations of the n-body problem
Authors
Abstract
We present a brief survey on some classes of central configurations of the n-body problem. We put special emphasis on the central configurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central configurations formed by either regular n-gons, or regular polyhedra. We also present some conjectures.
Keywords
n-body problem, central configurations, 70F15, 70F10, 37N05
Citation
Llibre, J. (2017). On the central configurations of the n-body problem. Applied Mathematics and Nonlinear Sciences, 2(2), 509–518. https://doi.org/10.21042/AMNS.2017.2.00042
J. Llibre, “On the central configurations of the n-body problem,” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 2, pp. 509–518, 2017, doi: 10.21042/AMNS.2017.2.00042.
Llibre J. On the central configurations of the n-body problem. Applied Mathematics and Nonlinear Sciences. 2017;2(2):509–518. doi:10.21042/AMNS.2017.2.00042.
Llibre, J. (2017), ‘On the central configurations of the n-body problem’, Applied Mathematics and Nonlinear Sciences, 2(2), pp. 509–518. Available at: https://doi.org/10.21042/AMNS.2017.2.00042.
Llibre, Jaume. “On the Central Configurations of the N-body Problem.” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 2, 2017, pp. 509–518. https://doi.org/10.21042/AMNS.2017.2.00042.
Llibre, Jaume. “On the Central Configurations of the N-body Problem.” Applied Mathematics and Nonlinear Sciences 2, no. 2 (2017): 509–518. https://doi.org/10.21042/AMNS.2017.2.00042.
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Published by: Engineering Journals


