naa a22 4500 510732062 CHVBK 20180411082956.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1134/S1063772913060048 doi (NATIONALLICENCE)springer-10.1134/S1063772913060048 The Lyapunov exponents in the dynamics of triple star systems [Elektronische Daten] [A. Mel'nikov, V. Orlov, I. Shevchenko] The dynamics of weakly heirarchical triple stars with equal masses are considered. Full spectra of the Lyapunov exponents are found via numerical integration of the orbits, for various initial configurations of the systemin the planar problem and with initial conditions in the vicinity of the 2 : 1 resonance (i.e., with the initial ratios of the periods of the outer and inner binaries being close to 2 : 1). Dependences between the Lyapunov time and the disruption time of the systemare constructed for initial conditions near and far from resonance. The character of these relationships is different near and far from resonance, corresponding to two kinds of Hamiltonian intermittency. The trajectories "stick” to the regular component in phase space near resonance, while this effect is not dominant far from resonance. Analysis of the distributions of the disruption times of the triple systems for initial conditions near and far from resonance confirm these conclusions. Pleiades Publishing, Ltd., 2013 Mel'nikov A. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut Orlov V. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut Shevchenko I. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut Astronomy Reports SP MAIK Nauka/Interperiodica 57/6(2013-06-01), 429-439 1063-7729 57:6<429 2013 57 11444 https://doi.org/10.1134/S1063772913060048 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S1063772913060048 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mel'nikov A. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Orlov V. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Shevchenko I. Main (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Astronomy Reports SP MAIK Nauka/Interperiodica 57/6(2013-06-01), 429-439 1063-7729 57:6<429 2013 57 11444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer