2023
DOI: 10.1007/s00601-023-01852-7
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Basins of Escape of the Particle’s Planar Motion in the Rectilinear (3 $$\varvec{+}$$ 1)-Body Ring Problem

Ibrahim Belgharbi,
Juan F. Navarro

Abstract: The objective of this work is to study the motion of an infinitesimal particle in the gravitational field of three big bodies in a ring configuration consisting of two peripheral and one central bodies, when the energy of the particle does not allow the escape from the potential well of the system. We have numerically determined the basins of escape using a new surface of section. Additionally, we have computed and analyzed the geometry of the set of asymptotic trajectories of the periodic orbit that governs t… Show more

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