caa a22 4500 44586334X CHVBK 20180317145450.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10569-011-9367-x doi (NATIONALLICENCE)springer-10.1007/s10569-011-9367-x Close encounters of a rotating star with planets in parabolic orbits of varying inclination and the formation of hot Jupiters [Elektronische Daten] [P. Ivanov, J. Papaloizou] In this paper we extend the theory of close encounters of a giant planet on a parabolic orbit with a central star developed in our previous work (Ivanov and Papaloizou in MNRAS 347:437, 2004; MNRAS 376:682, 2007) to include the effects of tides induced on the central star. Stellar rotation and orbits with arbitrary inclination to the stellar rotation axis are considered. We obtain results both from an analytic treatment that incorporates first order corrections to normal mode frequencies arising from stellar rotation and numerical treatments that are in satisfactory agreement over the parameter space of interest. These results are applied to the initial phase of the tidal circularisation problem. We find that both tides induced in the star and planet can lead to a significant decrease of the orbital semi-major axis for orbits having periastron distances smaller than 5-6 stellar radii with tides in the star being much stronger for retrograde orbits compared to prograde orbits. Assuming that combined action of dynamic and quasi-static tides could lead to the total circularisation of orbits this corresponds to observed periods up to 4-5 days. We use the simple Skumanich law to characterise the rotational history of the star supposing that the star has its rotational period equal to one month at the age of 5 Gyr. The strength of tidal interactions is characterised by circularisation time scale, t ev , which is defined as a typical time scale of evolution of the planet's semi-major axis due to tides. This is considered as a function of orbital period P obs , which the planet obtains after the process of tidal circularisation has been completed. We find that the ratio of the initial circularisation time scales corresponding to prograde and retrograde orbits, respectively, is of order 1.5-2 for a planet of one Jupiter mass having P obs ~ 4 days. The ratio grows with the mass of the planet, being of order five for a five Jupiter mass planet with the same P orb . Note, however, this result might change for more realistic stellar rotation histories. Thus, the effect of stellar rotation may provide a bias in the formation of planetary systems having planets on close orbits around their host stars, as a consequence of planet-planet scattering, which favours systems with retrograde orbits. The results reported in the paper may also be applied to the problem of tidal capture of stars in young stellar clusters. Springer Science+Business Media B.V., 2011 Tidal interactions nationallicence Dynamic tides nationallicence Rotating stars nationallicence Planet formation and evolution nationallicence Ivanov P. Astro Space Centre, P.N. Lebedev Physical Institute, 4/32 Profsoyuznaya Street, 117810, Moscow, Russia aut Papaloizou J. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 51-82 0923-2958 111:1-2<51 2011 111 10569 https://doi.org/10.1007/s10569-011-9367-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9367-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ivanov P. Astro Space Centre, P.N. Lebedev Physical Institute, 4/32 Profsoyuznaya Street, 117810, Moscow, Russia aut NATIONALLICENCE 700 1- Papaloizou J. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/1-2(2011-10-01), 51-82 0923-2958 111:1-2<51 2011 111 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer