The simplest motions that can be found in the Newtonian N-body problem are the ones whose configuration is constant up to rotations and scaling, and every body follows a trajectory being a keplerian orbit. Such kind of solutions are called central configurations.
CITATION STYLE
Barrabés, E., & Cors, J. M. (2015). Convex Central Configurations of Two Twisted n-gons. In Trends in Mathematics (Vol. 4, pp. 17–21). Springer International Publishing. https://doi.org/10.1007/978-3-319-22129-8_3
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