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arXiv:2309.14579 [math.DS]AbstractReferencesReviewsResources

Critical points at infinity of the 3-body Problem in $\mathbb{R}^4$

Alain Albouy, Holger R. Dullin

Published 2023-09-25Version 1

We show that critical points at infinity in the 3-body problem in $\mathbb{R}^4$ do not realize the infimum of the energy. This completes our previous work [Journal of Geometric Mechanics, 12, pp323-341 (2020), doi:10.3934/jgm.2020012] on the existence of Lyapunov stable relative periodic orbits in the 3-body problem in $\mathbb{R}^4$.

Comments: 6 pages, 1 figure
Categories: math.DS
Subjects: 37N05, 70F10, 70F15, 70H33, 53D20
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