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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. (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.(2011). |
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