naa a22 4500 510790224 CHVBK 20180411083317.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1134/S1063773713090053 doi (NATIONALLICENCE)springer-10.1134/S1063773713090053 Radially anisotropic models of collisionless spherical stellar systems without central singularity [Elektronische Daten] [V. Polyachenko, E. Polyachenko, I. Shukhman] A new class of the simplest equilibrium two-parameter distribution functions for spherical stellar systems with a radially anisotropic stellar velocity distribution is investigated. The models under consideration are a less singular counterpart of the so-called generalized polytropes, which in the past were among the most popular models in works on the equilibrium and stability of gravitating systems. In contrast to the well-known generalized polytropes, the proposed models have finite density and potential at the center. The absence of a singularity is necessary for a proper consideration of the radial orbit instability, which is the most important instability of spherical stellar systems. The main observed parameters of the proposed models (potential, density, anisotropy) are compared with those in well-known equilibrium models. Pleiades Publishing, Inc., 2013 stellar systems nationallicence star clusters and associations nationallicence stellar dynamics nationallicence Polyachenko V. Institute of Astronomy, Russian Academy of Sciences, ul. Pyatnitskaya 48, 119017, Moscow, Russia aut Polyachenko E. Institute of Astronomy, Russian Academy of Sciences, ul. Pyatnitskaya 48, 119017, Moscow, Russia aut Shukhman I. Institute of Solar-Terrestrial Physics, Russian Academy of Sciences, Siberian Branch, P.O. Box 4026, 664033, Irkutsk, Russia aut Astronomy Letters Springer US; http://www.springer-ny.com 39/10(2013-10-01), 676-688 1063-7737 39:10<676 2013 39 11443 https://doi.org/10.1134/S1063773713090053 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S1063773713090053 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Polyachenko V. Institute of Astronomy, Russian Academy of Sciences, ul. Pyatnitskaya 48, 119017, Moscow, Russia aut NATIONALLICENCE 700 1- Polyachenko E. Institute of Astronomy, Russian Academy of Sciences, ul. Pyatnitskaya 48, 119017, Moscow, Russia aut NATIONALLICENCE 700 1- Shukhman I. Institute of Solar-Terrestrial Physics, Russian Academy of Sciences, Siberian Branch, P.O. Box 4026, 664033, Irkutsk, Russia aut NATIONALLICENCE 773 0- Astronomy Letters Springer US; http://www.springer-ny.com 39/10(2013-10-01), 676-688 1063-7737 39:10<676 2013 39 11443 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer