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BarrabÃ©s Vera, Esther
Cors i Iglesias, Josep M. OllÃ© Torner, MercÃ¨ 

The main purpose of the paper is the study of the motion of a massless body attracted, under the Newtonâ€™s law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic restricted threebody problem. We consider the system relative to a rotating and pulsating frame where the equal masses (primaries) remain at rest. The system is gradientlike and has exactly ten hyperbolic equilibrium points lying on the boundary invariant manifolds corresponding to escape of the primaries in past and future time. The global flow of the system is described in terms of the final evolution (forwards and backwards in time) of the solutions. The invariant manifolds of the equilibrium points play a key role in the dynamics. We study the connections, restricted to the invariant boundaries, between the invariant manifolds associated to the equilibrium points. Finally we study numerically the connections in the whole phase space, paying special attention to capture and escape orbits  
http://hdl.handle.net/2072/298045  
eng  
Elsevier  
Tots els drets reservats  
DinÃ mica
Dinamics MecÃ nica celest Celestial mechanics DinÃ mica estelÂ·lar Stellar dynamics 

Dynamics of the parabolic restricted threebody problem  
info:eurepo/semantics/article  
Recercat 