Some analytical results about periodic orbits in the restricted three body problem with dissipation |
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| Authors: | Alessandro Margheri Rafael Ortega Carlota Rebelo |
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| Institution: | 1. Fac. Ci??ncias da Univ. de Lisboa e Centro de Matem??tica e Aplica??es Fundamentais, Campo Grande, Edif??cio C6, piso 2, 1749-016, Lisboa, Portugal
2. Departamento de Matem??tica Aplicada, Universidad de Granada, 18071, Granada, Spain
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| Abstract: | We present some analytical results about the existence of periodic orbits for the planar restricted three body problem with dissipation considered recently by Celletti et?al. (CMDA 109, 265, 2011) We show that, under fairly general conditions on the dissipation term, the circular orbits cannot be continued to the dissipative framework. Moreover, we give general conditions for the occurrence or not of a Hopf bifurcation around the libration points L 4 and L 5. Our results are consistent with the numerical findings of Celletti et?al. |
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