caa a22 4500 445863161 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10569-010-9324-0 doi (NATIONALLICENCE)springer-10.1007/s10569-010-9324-0 Stability of planetary systems with respect to masses [Elektronische Daten] [Konstantin Kholshevnikov, Eduard Kuznetsov] The stability in the sense of Lagrange of the Sun-Jupiter-Saturn system and 47 UMa system with respect to masses on a time scale of 106 years was studied using the method of averaging and numerical methods. When the masses of Jupiter and Saturn increase by 20 times (approximately, more accurate value depends on a time-scale of stable motion), these planets can have close approaches. Close approaches appear when analyzing osculating elements; they are absent in the mean elements. A similar situation takes place in the case of 47 UMa and other exoplanetary systems. The study of Lagrange stability with respect to masses allows us to obtain upper limits for masses of extrasolar planets. Springer Science+Business Media B.V., 2010 Stability in the sense of Lagrange nationallicence Close approaches nationallicence Escape nationallicence Osculating and mean elements nationallicence Method of averaging nationallicence Sun-Jupiter-Saturn system nationallicence 47 UMa planets nationallicence Kholshevnikov Konstantin St. Petersburg State University, Universitetsky pr. 28, 198504, St. Petersburg, Stary Peterhof, Russia aut Kuznetsov Eduard Ural State University, pr. Lenina 51, 620083, Ekaterinburg, Russia aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/2(2011-02-01), 201-210 0923-2958 109:2<201 2011 109 10569 https://doi.org/10.1007/s10569-010-9324-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-010-9324-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kholshevnikov Konstantin St. Petersburg State University, Universitetsky pr. 28, 198504, St. Petersburg, Stary Peterhof, Russia aut NATIONALLICENCE 700 1- Kuznetsov Eduard Ural State University, pr. Lenina 51, 620083, Ekaterinburg, Russia aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/2(2011-02-01), 201-210 0923-2958 109:2<201 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer