Planet mass stability margin of two-planetary systems / Kuznetsov E.D., Kholshevnikov K.V. // Solar System Research. - 2009. - V. 43, l. 3. - P. 220-228.

ISSN:
00380946
Type:
Article
Abstract:
The Lagrange stability of the Sun-Jupiter-Saturn and 47 UMa two-planetary systems at a time scale of 10yr was studied using the method of averaging. When the masses of Jupiter and Saturn increase by 19 times, these planets can closely converge. The study of Lagrange stability in the case of successive mass increase allows for the obtainment of upper estimates of possible masses of extrasolar planets. Close approachs in the 47 UMa system are possible when minimal masses increase by 38 times. approachs are revealed when analyzing osculating elements; in averaged elements, approachs are absent. Resonant properties of six extrasolar two-planetary systems where the outer planet is less massive than the inner one are studied. The values of semi-major axes of planet orbits in HD 82943 and HD 73526 systems lie in a narrow resonant zone; in 47 UMa, μ Ara and HD 108874 systems lie in a wide resonant zone. In the HD 12661, the system resonances of a lower order were not revealed. © 2009 Pleiades Publishing, Ltd.
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DOI:
10.1134/S0038094609030046
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Affiliations Ural State University, Ekaterinburg, Russian Federation; St. Petersburg State University, St. Petersburg, Russian Federation
References Kuznetsov, E.D., Kholshevnikov, K.V., The Selection effect in semi0major axes of orbits of extrasolar plants (2002) Astron. Vestn., 36 (6), pp. 504-515; Kuznetsov, E.D., Kholshevnikov, K.V., Expansion of the Hamiltonian of the Two-Planetary Problen into Poisson series as refers to all elements: Application of Poisson processor (2004) Astron. Vestn., 38 (2), pp. 171-179; Kuznetsov, E.D., Kholshevnikov, K.V., Dynamic evolution of a weakly disturbed Two-Planetary System on cosmogonic time-scales, the Sun-Jupiter-Saturn system (2006) Astron. Vestn., 40 (3), pp. 263-275; Kuznetsov, E.D., Kholshevnikov, K.V., (2009) Orbital Evolution of Two-Planetary System the Sun-Jupiter-Saturn, pp. 139-149. , Vestn. S.-Peterburg. Univ. ser. 1, vyp. 1; Sokolov, L.L., Conditionaly periodic solutions and resonances in problems of celestial mechanics (1980) Cand. Sci. (Phys.-Math.) Dissertation, , Leningrad State University Leningrad; Sokolov, L.L., Kholshevnikov, K.V., On applicability of KAM-theory conclusions in celestial mechanics (1981) Trudy v Nauchnykh Chtenii Po Kosmonavtike. Sektsiya "prikladnaya Nebesnaya Mekhanika i Upravlenie Dvizheniem" (Proceedings of the v Scientific Workshop on Aeronautics. Section "applied Celestial Mechanies and Guidance Control"), pp. 33-42. , Moscow; Subbotin, M.F., (1968) Vvedenie v Teoreticheskuyu Astronomiyu, , Nauka Moscow (Introduction into theoretical astronomy); Sukhotin, A.A., Kholshevnikov, K.V., (1986) Evolyutsiya Planetnykh Orbit Za 200 Tys. Let, Rasschitannaya Metodom Halphena-Goryacheva. Astron. i Geodeziya. No. 14, pp. 5-21. , Izd. Tomskogo Univ. Tomsk. (Evolution of planetary orbits through 200 thousand years calculated using Halphen-Goryachev method); Kholshevnikov, K.V., (1985) Asimptoticheskie Metody Nebesnoi Mekhaniki, , LGU Leningrad (Asymptotic methods of celestial mechanics); Kholshevnikov, K.V., Greb, A.V., Kuznetsov, E.D., The expansion of the Hamiltonian of the planetary problem into the poisson series in all Keplerian elements (theory) (2001) Astron. Vestn., 35 (3), pp. 267-272; Kholshevnikov, K.V., Greb, A.V., Kuznetsov, E.D., The expansion of the Hamiltonian of the two-planetary problem into a poisson series in all elements:estimation and direct calculation of coefficients (2002) Astron. Vestn., 36 (1), pp. 75-87; Kholshevnikov, K.V., Kuznetsov, E.D., Review of the Works on the Orbital Evolution of Solar Major Planets (2007) Astron. Vestn., 41 (4), pp. 291-329; Chetaev, N.G., (1962) Ustoichivost' Dvizheniya; Raboty Po Analiticheskoi Mechanike, , Izd. AN SSSR Moscow (Stability of motion; works on analytical mechanics); Butler, R.P., Marcy, G.W., A Planet Orbiting 47 Ursae Majoris (1996) Astrophys. J., 464, pp. 153-L156; Butler, R.P., Wright, J.T., Marcy, G.W., Fischer, D.A., Vogt, S.S., Tinney, C.G., Jones, H.R.A., Penny, A.J., Catalog of nearby exoplanets (2006) Astrophysical Journal, 646 (I), pp. 505-522. , DOI 10.1086/504701; Everhart, E., Implicit Single Methods for Integrating Orbits (1974) Celest. Mech., 10, pp. 35-55; Fischer, D.A., Marcy, G.W., Butler, R.P., Laughlin, G., Vogt, S.S., A second planet orbiting 47 Ursae Majoris (2002) Astrophysical Journal, 564, pp. 1028-1034. , DOI 10.1086/324336; Ivanova, T., A new Echeloned Poisson Series Processor (EPSP) (2001) Celestial Mechanics and Dynamical Astronomy, 80 (3-4), pp. 167-176. , DOI 10.1023/A:1012213801294; Ito, T., Miyama, Sh.M., An Estimation of Upper Limit Masses of v Andromedae Planets (2000) Proc. 32nd Symp. Celest. Mech., pp. 194-205. , University Advanced Studies Hayama, Kanagawa, Japan; Marcy, G.W., Butler, R.P., Fisher, D., Masses and orbital characteristics of extrasolar planets using stellar masses derived from hipparcos (2008) Metallicity, and Stellar Evolution, , http://exoplanets.org; Nacosy, P.E., On the Stability of the Solar System (1976) Astron. J., 81, pp. 787-791; Nacozy, P.E., A Discussion of Long-Term Numerical Solutions of the Jupiter - Saturn - Sun System (1977) Celest. Mech., 16, pp. 77-86; Perryman, M.A.C., Lindegren, L., Arenou, F., HIPPARCOS Distances and Mass Limits for the Planetary Candidates: 47 Ursae Majoris, 70 Virginis, and 51 Pegisi (1996) Astron. and Astrophys, 310, pp. 21-L24; Schneider, J., (2008) The Extrasolar Planets Encyclopaedia, , http://www.obspm.fr/encycl/catalog.html; Standish, E.M., (1998) JPL Planetary and Lunar Ephemerides, pp. 18P. , DE405/LE405, Interoffice Memorandum. 312.F-98-048.JPL
Correspondence Address Kuznetsov, E. D.; Ural State University, Ekaterinburg, Russian Federation
Language of Original Document English
Abbreviated Source Title Sol. Syst. Res.
Source Scopus