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Título:
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On co-orbital quasi-periodic motion in the three-body problem
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Autor/a:
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Cors Iglesias, Josep Maria; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques |
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Abstract:
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Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM $4$-tori related to the co-orbital motion of two small moons about a large planet where the moons move in nearly circular orbits with almost equal radii. The approach is based on a combination of normal form and symplectic reduction theories and the application of a KAM theorem for high-order degenerate systems. To accomplish our results we need to expand the Hamiltonian of the three-body problem as a perturbation of two uncoupled Kepler problems. This approximation is valid in the region of phase space where co-orbital solutions occur. |
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Abstract:
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Peer Reviewed |
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Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística
-Three-body problem
-Celestial mechanics
-Three-body problem
-Symplectic scaling
-Co-orbital regime
-1:1 mean-motion resonance
-Normalization and reduction
-KAM theory for multiscale systems
-Quasi-periodic motion and invariant 4-tori
-Problema dels tres cossos
-Mecànica celest
-Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
-Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics
-Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
-Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications |
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Derechos:
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Tipo de documento:
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Artículo - Versión presentada
Artículo |
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