caa a22 4500 445863048 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10569-010-9326-y doi (NATIONALLICENCE)springer-10.1007/s10569-010-9326-y Some results on the global dynamics of the regularized restricted three-body problem with dissipation [Elektronische Daten] [Alessandra Celletti, Letizia Stefanelli, Elena Lega, Claude Froeschlé] We perform an analysis of the dynamics of the circular, restricted, planar three-body problem under the effect of different kinds of dissipation (linear, Stokes and Poynting-Robertson drags). Since the problem is singular, we implement a regularization technique in the style of Levi-Civita. The effect of the dissipation is often to decrease the semi-major axis; as a consequence the minor body collides with one of the primaries. In general, it is quite difficult to find non-collision orbits using random initial conditions. However, by means of the computation of the Fast Lyapunov Indicators (FLI), we obtain a global view of the dynamics. Precisely, we detect the regions of the phase space potentially belonging to basins of attraction. This investigation provides information on the different regions of the phase space, showing both collision and non-collision trajectories. Moreover, we find periodic orbit attractors for the case of linear and Stokes drags, while in the case of the Poynting-Robertson effect no other attractors are found beside the primaries, unless a fourth body is added to counterbalance the dissipative effect. Springer Science+Business Media B.V., 2011 Three-body problem nationallicence Dissipative effects nationallicence Regularization theory nationallicence Poynting-Robertson effect nationallicence Stokes drag nationallicence Celletti Alessandra Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy aut Stefanelli Letizia Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy aut Lega Elena UNSA, CNRS UMR 6202, Observatoire de la Cote d'Azur, Bv. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut Froeschlé Claude UNSA, CNRS UMR 6202, Observatoire de la Cote d'Azur, Bv. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/3(2011-03-01), 265-284 0923-2958 109:3<265 2011 109 10569 https://doi.org/10.1007/s10569-010-9326-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-010-9326-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Celletti Alessandra Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy aut NATIONALLICENCE 700 1- Stefanelli Letizia Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy aut NATIONALLICENCE 700 1- Lega Elena UNSA, CNRS UMR 6202, Observatoire de la Cote d'Azur, Bv. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut NATIONALLICENCE 700 1- Froeschlé Claude UNSA, CNRS UMR 6202, Observatoire de la Cote d'Azur, Bv. de l'Observatoire, B.P. 4229, 06304, Nice Cedex 4, France aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/3(2011-03-01), 265-284 0923-2958 109:3<265 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer