https://doi.org/10.1140/epjs/s11734-025-01866-8
Regular Article
Exploration of tight confinement near the triangular points in the Sun–(Earth–Moon) system
Aeronautical Engineering Department, School of Engineering, São Paulo State University (UNESP) Campus of São João da Boa Vista, Av. Profa Isette Corrêa Fontão, 505, 13876-750, São João da Boa Vista, São Paulo, Brazil
a
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Received:
30
April
2025
Accepted:
17
August
2025
Published online:
26
August
2025
This work explores practical confinement near the equilateral equlibria of the Sun–(Earth–Moon) system. Trajectories initialized on a paraboloid around 
were integrated to map survival regions and identify tightly confined orbits. For planar motion, robust confinement associated with quasi-periodic structures was observed within a few thousand kilometers from the equilibrium point. Vertical perturbations, however, led to rapid dispersion, with orbit excursions reaching millions of kilometers. A secondary confinement zone, in which localized oscillations over limited timescales occur, was detected. The results could support mission concepts related to temporary observation posts, but further work is needed to assess their persistence under solar radiation pressure and to characterize the associated invariant manifolds.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
