caa a22 4500 445863315 CHVBK 20180317145450.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10569-011-9372-0 doi (NATIONALLICENCE)springer-10.1007/s10569-011-9372-0 Trapping in three-planet resonances during gas-driven migration [Elektronische Daten] [Anne-Sophie Libert, Kleomenis Tsiganis] We study the establishment of three-planet resonances—similar to the Laplace resonance in the Galilean satellites—and their effects on the mutual inclinations of the orbital planes of the planets, assuming that the latter undergo migration in a gaseous disc. In particular, we examine the resonance relations that occur, by varying the physical and initial orbital parameters of the planets (mass, initial semi-major axis and eccentricity) as well as the parameters of the migration forces (migration rate and eccentricity damping rate), which are modeled here through a simplified analytic prescription. We find that, in general, for planetary masses below 1.5 M J, multiple-planet resonances of the form n 3:n 2:n 1 = 1:2:4 and 1:3:6 are established, as the inner planets, m 1 and m 2, get trapped in a 1:2 resonance and the outer planet m 3 subsequently is captured in a 1:2 or 1:3 resonance with m 2. For mild eccentricity damping, the resonance pumps the eccentricities of all planets on a relatively short time-scale, to the point where they enter an inclination-type resonance (as in Libert and Tsiganis 2011); then mutual inclinations can grow to ~35°, thus forming a "3-D system”. On the other hand, we find that trapping of m 2 in a 2:3 resonance with m 1 occurs very rarely, for the range of masses used here, so only two cases of capture in a respective three-planet resonance were found. Our results suggest that trapping in a three-planet resonance can be common in exoplanetary systems, provided that the planets are not very massive. Inclination pumping could then occur relatively fast, provided that eccentricity damping is not very efficient so that at least one of the inner planets acquires an orbital eccentricity higher than e=0.3. Springer Science+Business Media B.V., 2011 Formation of planetary systems nationallicence Resonance capture nationallicence n-Body problem nationallicence Planet-disc interactions nationallicence Planet migration nationallicence Laplace resonance nationallicence Libert Anne-Sophie naXys, Department of Mathematics, University of Namur, 8 Rempart de la Vierge, 5000, Namur, Belgium aut Tsiganis Kleomenis Department of Physics, University of Thessaloniki, 54 124, Thessaloniki, Greece aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 201-218 0923-2958 111:1-2<201 2011 111 10569 https://doi.org/10.1007/s10569-011-9372-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9372-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Libert Anne-Sophie naXys, Department of Mathematics, University of Namur, 8 Rempart de la Vierge, 5000, Namur, Belgium aut NATIONALLICENCE 700 1- Tsiganis Kleomenis Department of Physics, University of Thessaloniki, 54 124, Thessaloniki, Greece aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 201-218 0923-2958 111:1-2<201 2011 111 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer