TY - JOUR T1 - Keplerova úloha - algebraické riešenie A1 - Demetrian, Michal JA - Obzory matematiky, fyziky a informatiky Y1 - 2009 VL - 38 IS - 1 SP - 42 EP - 50 SN - 1335-4981 N2 - We present the algebraic solution to the Kepler problem - i.e. we show how to find all the possible trajectories of a testing body in the Newtonian gravitational field of a massive central body - without any need of integrating an equation of motion (differential equation). The presented idea is rather well-known on the scientific level, however, almost absolutely unknown in pedagogical level in spite of the fact it offers a nice possibility to explain the Keplerian elipses to the secondary school students. ER -