Item
BarrabÃ©s Vera, Esther
Mondelo, Josep M. OllÃ© Torner, MercÃ¨ 

2018 June 5  
This paper is devoted to the numerical computation and continuation of families of heteroclinic connections between hyperbolic periodic orbits (POs) of a Hamiltonian system. We describe a method that requires the numerical continuation of a nonlinear system that involves the initial conditions of the two POs, the linear approximations of the corresponding manifolds and a point in a given PoincarÃ© section where the unstable and stable manifolds match. The method is applied to compute families of heteroclinic orbits between planar Lyapunov POs around the collinear equilibrium points of the restricted threebody problem in different scenarios. In one of them, for the SunJupiter mass parameter, we provide energy ranges for which the transition between different resonances is possible  
http://hdl.handle.net/2072/321144  
eng  
IOP Publishing  
Tots els drets reservats  
AnÃ lisi numÃ¨rica
Numerical analysis Planetes  Ã’rbites Planets  Orbits DinÃ mica estelÂ·lar Stellar dynamics MecÃ nica celest Celestial mechanics Sistemes hamiltonians Hamiltonian systems Sistemes dinÃ mics diferenciables Differentiable dynamical systems 

Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system  
info:eurepo/semantics/article  
Recercat 