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most citedExistence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem

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math.DS2020

Continuation of relative equilibria in the --body problem to spaces of constant curvature

Abimael Bengochea, Carlos García-Azpeitia, Ernesto Pérez-Chavela +1

We prove that all non-degenerate relative equilibria of the planar Newtonian --body problem can be continued to spaces of constant curvature , positive or negative, for small…

math.DS2011★ 1 cited

Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem

Maciej J Capinski, Pablo Roldan

We give a proof of existence of centre manifolds within large domains for systems with an integral of motion. The proof is based on a combination of topological tools, normal forms…