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arXiv · 1809.01257

Integrability of close encounters in the spatial restricted three-body problem

Franco Cardin·Massimiliano Guzzo
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Abstract

We extend to the spatial case a technique of integration of the close encounters formulated by Tullio Levi-Civita for the planar restricted three-body problem. We consider the Hamiltonian introduced in the Kustaanheimo-Stiefel regularization and construct a complete integral of the related Hamilton-Jacobi equation by means of a series convergent in a neighbourhood of the collisions with the primary or secondary body.

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Franco Cardin, Massimiliano Guzzo. 2018-09-04. Integrability of close encounters in the spatial restricted three-body problem. https://doi.org/10.1142/s0219199721500401

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