Dynamical architectures of planetary systems induced by orbital migration

The aim of this talk is to present the most recent advances in establishing plausible planetary system architectures determined by the gravitational tidal interactions between the planets and the disc in which they are embedded during the early epoch of planetary system formation. We concentrate on a very well defined and intensively studied process of the disc-planet interaction leading to the planet migration. We focus on the dynamics of the systems in which low-mass planets are present. Particular attention is devoted to investigation of the role of resonant configurations. Our studies, apart from being complementary to the fast progress occurring just now in observing the whole variety of planetary systems and uncovering their structure and origin, can also constitute a valuable contribution in support of the missions planned to enhance the number of detected multiple systems.Comment: 10 pages with 5 figures, pdflatex, to appear in the proceedings of the conference "Extra-solar Planets in Multi-body Systems: Theory and Observations"; eds. K. Gozdziewski, A. Niedzielski and J. Schneider, EAS Publication Serie

The TRAPPIST-1 system: Orbital evolution, tidal dissipation, formation and habitability

We study the dynamical evolution of the TRAPPIST-1 system under the influence of orbital circularization through tidal interaction with the central star. We find that systems with parameters close to the observed one evolve into a state where consecutive planets are linked by first order resonances and consecutive triples, apart from planets c, d and e, by connected three body Laplace resonances. The system expands with period ratios increasing and mean eccentricities decreasing with time. This evolution is largely driven by tides acting on the innermost planets which then influence the outer ones. In order that deviations from commensurability become significant only on $Gy$ time scales or longer, we require that the tidal parameter associated with the planets has to be such that $Q' > \sim 10^{2-3}.$ At the same time, if we start with two subsystems, with the inner three planets comprising the inner one, $Q'$ associated with the planets has to be on the order (and not significantly exceeding) $10^{2-3}$ for the two subsystems to interact and end up in the observed configuration. This scenario is also supported by modelling of the evolution through disk migration which indicates that the whole system cannot have migrated inwards together. Also in order to avoid large departures from commensurabilities, the system cannot have stalled at a disk inner edge for significant time periods. We discuss the habitability consequences of the tidal dissipation implied by our modelling, concluding that planets d, e and f are potentially in habitable zones.Comment: 27 pages, 15 figures, accepted for publication in MNRA

Mass function of dormant black holes and the evolution of the Active Galactic Nuclei

We derive the mass function of the relic black holes and compared with that of the Massive Dark Objects in galaxies. Under the assumption that accretion onto massive BH's powers the Active Galactic Nuclei, the mass function of the BH responsibile for the past activity of QSO/AGN is computed. Our results support the scenario in which the QSO phase has exclusively occurred in every proto-elliptical.Comment: 10 pages, 8 Figures. Version improved with referee comments. J. Accepted on MNRA

ENVIRONMENTAL PROTECTION IN THE PROJECT „BALANCED DEVELOPMENT IN THE SPREE-NEISSE-BOBER EUROREGION”

The Spree-Neisse-Bober Euroregion was established on the Polish and German borderland on September 21, 1993. The statutes, principles of co-operation, aims and tasks were elaborated. In the last seven years a number of investment projects have been carried out: the construction of a sewage treatment plant Gubin - Guben, a number of cross? border projects (founding the Landscape Park Krzesin -Neuzelle, sanctuaries of Nature, ecological grounds). One of the goals of the Spree-Neisse-Bober Euroregion " is to level the existing economic differences between Poland and Germany and to co-operate in the fields of culture, tourism, sports, education and mass media