PREDNASAJUCI / LECTURER : Marian Jakubik NAZOV / TITLE : The trans-Neptunian population from the simulation of the dynamical evolution of proto-planetary disc for 2 Gyr ABSTRAKT / ABSTRACT : In course to obtain a consistent picture of the formation of all trans-Neptunian (TN) small-body reservoirs, Oort cloud including, we simulate the dynamical evolution of 14799 test particles (TPs) representing once existing proto-planetary disc, its part in 4-90 AU. The perturbations by four giant planets, Galactic tide, and passing stars were considered. Our model does not assume any migration and growth of planets. In this contribution, we use our output data to present the predicted structure of the TN populations: resonant objects (mean-motion resonances with Neptune), classical Edgeworth-Kuiper belt (EKB) and scattered disc (SD). Due to a strong observational selection, our comparison between the model and reality is only approximative. We can conclude that our model qualitatively provides all observed MMRs. With respect to the selection effects biasing the observed structure of SD, a good agreement appears between the structure of the disc in our model and observed disc. In heliocentric distances 33-36.3 AU, 36.6-39.8 AU, and beyond 42.2 AU, more than 90% of TPs remain on their almost initial, dynamically very cold orbits (e < 0.035; i < 0.065 rad). We refer to this sub-population as "very cold EKB" (VCEKB). On contrary, there are only few observed VCEKB objects in the current database of TNOs.