caa a22 4500 445863137 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10569-010-9322-2 doi (NATIONALLICENCE)springer-10.1007/s10569-010-9322-2 A minimal dynamical model for tidal synchronization and orbit circularization [Elektronische Daten] [József Vanyó, Bruno Escribano, Julyan Cartwright, Diego González, Oreste Piro, Tamás Tél] We study tidal synchronization and orbit circularization in a minimal model that takes into account only the essential ingredients of tidal deformation and dissipation in the secondary body. In previous work we introduced the model (Escribano etal. in Phys. Rev. E, 78:036216, 2008); here we investigate in depth the complex dynamics that can arise from this simplest model of tidal synchronization and orbit circularization. We model an extended secondary body of mass m by two point masses of mass m/2 connected with a damped spring. This composite body moves in the gravitational field of a primary of mass M ≫ m located at the origin. In this simplest case oscillation and rotation of the secondary are assumed to take place in the plane of the Keplerian orbit. The gravitational interactions of both point masses with the primary are taken into account, but that between the point masses is neglected. We perform a Taylor expansion on the exact equations of motion to isolate and identify the different effects of tidal interactions. We compare both sets of equations and study the applicability of the approximations, in the presence of chaos. We introduce the resonance function as a resource to identify resonant states. The approximate equations of motion can account for both synchronization into the 1:1 spin-orbit resonance and the circularization of the orbit as the only true asymptotic attractors, together with the existence of relatively long-lived metastable orbits with the secondary in p:q (p and q being co-prime integers) synchronous rotation. Springer Science+Business Media B.V., 2010 Tidal friction nationallicence Tidal locking nationallicence Resonance nationallicence Transient attractor nationallicence Spin-orbit coupling nationallicence Quasi-attractor nationallicence Vanyó József Institute for Theoretical Physics, Eötvös University, P.O. Box 32, 1518, Budapest, Hungary aut Escribano Bruno Instituto Andaluz de Ciencias de la Tierra, CSIC-Universidad de Granada, 18071, Granada, Spain aut Cartwright Julyan Instituto Andaluz de Ciencias de la Tierra, CSIC-Universidad de Granada, 18071, Granada, Spain aut González Diego Departament de Física, Universitat de les Illes Balears, 07122, Palma de Mallorca, Spain aut Piro Oreste Istituto IMM-CNR, Area della Ricerca CNR di Bologna, 40129, Bologna, Italy aut Tél Tamás Institute for Theoretical Physics, Eötvös University, P.O. Box 32, 1518, Budapest, Hungary aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/2(2011-02-01), 181-200 0923-2958 109:2<181 2011 109 10569 https://doi.org/10.1007/s10569-010-9322-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-010-9322-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vanyó József Institute for Theoretical Physics, Eötvös University, P.O. Box 32, 1518, Budapest, Hungary aut NATIONALLICENCE 700 1- Escribano Bruno Instituto Andaluz de Ciencias de la Tierra, CSIC-Universidad de Granada, 18071, Granada, Spain aut NATIONALLICENCE 700 1- Cartwright Julyan Instituto Andaluz de Ciencias de la Tierra, CSIC-Universidad de Granada, 18071, Granada, Spain aut NATIONALLICENCE 700 1- González Diego Departament de Física, Universitat de les Illes Balears, 07122, Palma de Mallorca, Spain aut NATIONALLICENCE 700 1- Piro Oreste Istituto IMM-CNR, Area della Ricerca CNR di Bologna, 40129, Bologna, Italy aut NATIONALLICENCE 700 1- Tél Tamás Institute for Theoretical Physics, Eötvös University, P.O. Box 32, 1518, Budapest, Hungary aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/2(2011-02-01), 181-200 0923-2958 109:2<181 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer