Display Abstract

Title Some analytical results about periodic orbits in the restricted three body problem with dissipation

Name Alessandro Margheri
Country Portugal
Email margheri@ptmat.fc.ul.pt
Co-Author(s) Rafael Ortega, Carlota Rebelo
Submit Time 2014-02-28 08:27:48
Session
Special Session 67: Topological methods for the qualitative analysis of differential equations and inclusions
Contents
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).