Artículos de revistas
Motion Around A Monopole + Ring System - I. Stability Of Equatorial Circular Orbits Versus Regularity Of Three-dimensional Motion
Registro en:
Monthly Notices Of The Royal Astronomical Society. , v. 414, n. 4, p. 3105 - 3116, 2011.
358711
10.1111/j.1365-2966.2011.18618.x
2-s2.0-79959822297
Autor
Ramos-Caro J.
Pedraza J.F.
Letelier P.S.
Institución
Resumen
We study the motion of test particles around a centre of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan and Morgan discs. We deal with two kinds of bounded orbits: (i) equatorial circular orbits and (ii) general three-dimensional orbits. The first case provides a method to perform a linear stability analysis of these structures by studying the behaviour of vertical and epicyclic frequencies as functions of the mass ratio, the size of the ring and/or the quadrupolar deformation. In the second case, we study the influence of these parameters in the regularity or chaoticity of motion. We find that there is a close connection between linear stability (or instability) of equatorial circular orbits and regularity (or chaoticity) of the three-dimensional motion. © 2011 The Authors Monthly Notices of the Royal Astronomical Society © 2011 RAS. 414 4 3105 3116 Arnold, L., Schneider, J., (2004) A&A, 420, p. 1153 Arnold, L., Schneider, J., (2006) eds, Proc. IAU Colloq. 200, Direct Imaging of Exoplanets: Science & Techniques. Cambridge Univ. Press, Cambridge, p. 105. , in Aime C., Vakili F. Barnes, J.W., Fortney, J.J., (2004) ApJ, 616, p. 1193 Benet, L., Merlo, O., (2009) Celest. Mech. Dynamical Astron., 103, p. 209 Benet, L., Seligman, T.H., (2000) Phys. Lett. A, 273, p. 331 Binney, J., Tremaine, S., (2008) Galactic Dynamics, 2nd edn, , Princeton Univ. Press, Princeton, NJ Charnoz, S., (2009) Icarus, 201, p. 191 Charnoz, S., Salmon, J., Crida, A., (2010) Nat, 465, p. 752 Cuzzi, J.N., (2010) Sci, 327, p. 1470 Dougherty, M.K., Esposito, L.W., Krimigis, T., (2009) Saturn from Cassini-Huygens, , Springer, New York Ellis, D.M., Wessen, R.R., Cuzzi, J.N., (2007) Planetary Ring Systems, , Springer-Praxis Publishing, Berlin Goldreich, P., Tremaine, S., (1979) Nat, 277, p. 97 González, G.A., Reina, J.I., (2006) MNRAS, 371, p. 1873 Greenberg, R., Brahic, A., (1984) Planetary Rings, , The University of Arizona Press, Tucson Guéron, E., Letelier, P.S., (2001) Phys. Rev. E, 63, p. 035201 Hénon, M., (1982) Physica D, 5, p. 412 Holsapple, K.A., (2001) Icarus, 154, p. 432 Hunter, C., (2005) Ann. New York Acad. Sci., 1045, p. 120 Hunter, C., Toomre, A., (1969) ApJ, 155, p. 747 Jiang, Z., (2000) MNRAS, 319, p. 1067 Jiang, Z., Moss, D., (2002) MNRAS, 331, p. 117 Jiang, Z., Ossipkov, L., (2007) MNRAS, 379, p. 1133 Jones, G.H., (2008) Sci, 319, p. 1380 Kalnajs, A.J., (1972) ApJ, 175, p. 63 Kuzmin, G.G., (1956) Astron. Zh., 33, p. 27 Landau, L.D., Lifshitz, E.M., (1987) Fluid Mechanics 2nd edn, , Pergamon Press, Oxford Lemos, J.P.S., Letelier, P.S., (1994) Phys. Rev., 49, p. 5135 Letelier, P.S., (2007) MNRAS, 381, p. 1031 Longaretti, P.Y., (1992) Planetary Ring Dynamics: From Boltzmann's Equation to Celestial Dynamics, Interrelations between Physics and Dynamics for Minor Bodies in the Solar System, p. 453. , in Froeschlé C., ed., Editions Frontières, Gif-sur-Yvette Lora-Clavijo, F.D., Ospina-Henao, P.A., Pedraza, J.F., (2010) Phys. Rev. D, 82, p. 084005 Lynden Bell, D., (1962) MNRAS, 123, p. 447 Madan, R.N., (1963) Chua's Circuit: A Paradigm for Chaos, , World Scientific Press, Singapore Matsumoto, T., Chua, L., Komuro, M., (1985) IEEE Trans. Circuits Syst., 32, p. 797 Merlo, O., Benet, L., (2007) Celestial Mech. Dynamical Astron., 97, p. 49 Mestel, L., (1963) MNRAS, 126, p. 553 Morgan, T., Morgan, L., (1969) Phys. Rev., 183, p. 1097 Murray, C.D., (2005) Nat, 437, p. 1326 Murray, C.D., (2008) Nat, 453, p. 739 Ohta, Y., Taruya, A., Suto, Y., (2009) ApJ, 690, p. 1 Pedraza, J.F., Ramos-Caro, J., González, G.A., (2008) MNRAS, 390, p. 1587 Porco, C.C., (2005) Sci, 307, p. 1226 Ramos-Caro, J., López-Suspez, F., González, G.A., (2008) MNRAS, 386, p. 440 Rayleigh, L., (1916) Proc. R. Soc. London A, 93, p. 148 Saa, A., (2000) Phys. Lett. A, 269, p. 204 Saa, A., Venegeroles, R., (1999) Phys. Lett. A, 259, p. 201 Semerák, O., Suková, P., (2010) MNRAS, 404, p. 545 Sicardy, B., (2006) Lecture Notes in Physics, Vol. 682, Dynamics of Planetary Rings, Dynamics of Finite Size Celestial Bodies and Rings, p. 183. , in Souchay A., ed., Springer-Verlag, Berlin Smith, B.A., (1981) Sci, 212, p. 163. , (The Voyager Imaging Team) Smith, B.A., (1982) Sci, 215, p. 504. , (The Voyager Imaging Team) Toomre, A., (1963) ApJ, 138, p. 385 Toomre, A., (1964) ApJ, 139, p. 1217 Tresaco, E., Ferrer, S., (2010) Celest. Mech. Dynamical Astron., 107, p. 337 Vogt, D., Letelier, P.S., (2009) MNRAS, 396, p. 1487