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Invariant manifolds and chaos in the planar Earth-Moon system
Vitor De Oliveira  1@  , Iberê Caldas  1@  
1 : Institute of Physics of the University of São Paulo  (IFUSP)  -  Website
Rua do Matão, Nr.1371, Cidade Universitária CEP 05508-090 São Paulo/SP -  Brazil

The restricted three-body problem in celestial mechanics concerns the dynamics of a test particle on a gravitational field generated by a two-body system. It can be used to model the dynamics of small objects in the Earth-Moon system, such as satellites, spacecrafts and asteroids. In this scenario, there exist an interval of Jacobi constant values where the dynamics are highly dictated by the Lyapunov orbits. In this work, we use numerical techniques to calculate unstable periodic orbits and to trace the invariant manifolds associated with these orbits in order to deepen the knowledge on the chaotic scenario around the Moon.


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