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Symmetry reduction of the 3-body problem in $\mathbb{R}^4$

math.DS · 2019-08-13 · accept · novelty 7.0

For the 3-body problem in R^4, three families of relative equilibria are local minima of the reduced Hamiltonian when the angular momentum is close to the 3-dimensional case, implying stable bounded motions.

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  • Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ math.DS · 2019-08-13 · accept · none · ref 6

    For the 3-body problem in R^4, three families of relative equilibria are local minima of the reduced Hamiltonian when the angular momentum is close to the 3-dimensional case, implying stable bounded motions.