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Presented By: Applied Interdisciplinary Mathematics (AIM) Seminar - Department of Mathematics

AIM Seminar: The 3-body problem and a 3-web of Cayley cubics on the 3-sphere

Philip Arathoon, University of Michigan

Abstract: Finding general solutions to a mechanical system is often far too much to ask. Instead, we look for more tractable, special solutions, such as the equilibria. If the system is symmetric with respect to a group action then we can also look for the relative equilibria; these are solutions contained to a group orbit. Famous examples include the circular solutions of Euler and Lagrange in the 3-body problem. In this talk I will present a new formalism for finding relative equilibria by defining a 'web structure' on shape space, and demonstrate this by classifying the relative equilibria for the spherical 3-body problem.

Contact: AIM Seminar Organizers

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