Hostname: page-component-7479d7b7d-fwgfc Total loading time: 0 Render date: 2024-07-11T08:36:45.854Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamical instabilities in planetary systems

Published online by Cambridge University Press:  19 April 2010

K. Goździewski ,
A. Niedzielski ,
J. Schneider ,
T. A. Michtchenko ,
S. Ferraz-Mello  and
C. Beaugé
T. A. Michtchenko
Affiliation:
Instituto de Astronomia, Geofísica e Ciências Atmosféricas, USP, Rua do Matão 1226, 05508-900 São Paulo, Brazil
S. Ferraz-Mello
Affiliation:
Instituto de Astronomia, Geofísica e Ciências Atmosféricas, USP, Rua do Matão 1226, 05508-900 São Paulo, Brazil
C. Beaugé
Affiliation:
Observatorio Astronómico, Universidad Nacional de Córdoba, Laprida 854 (X5000BGR) Córdoba, Argentina
Get access

Abstract

This chapter is a review of the dynamics of two-planet systems. It includes the study of averaged models of both secular and resonant planetary configurations. The introduction describes our understanding of long-term planetary behavior and stability. The next section introduces the presently known sample of 31 extra-solar systems and the classification of these systems with respect to their dynamical behavior. Their secular dynamics are described in Section 3, where we also introduce the main techniques commonly used for exploring dynamical features. We conclude this section by describing the effects of the proximity of a secular system to mean-motion resonances. Finally, phenomena related to mean-motion resonances are presented in Section 4.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 42: Extrasolar Planets in Multi-Body Systems: Theory and Observations , 2010 , pp. 315 - 331
Copyright
© EAS, EDP Sciences, 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Brouwer, D., & Clemence, G.M., 1961, Methods of Celestial Mechanics (Academic Press Inc., New York)
Beaugé, C., & Michtchenko, T.A., 2003, MNRAS, 341, 760 CrossRef
Beaugé, C., Ferraz-Mello, S., & Michtchenko, T.A., 2003, ApJ, 593, 1124 CrossRef
Beaugé, C., Michtchenko, T.A., & Ferraz-Mello, S., 2006, MNRAS, 365, 1160 CrossRef
Butler, R.P., Marcy, G.W., Williams, E., Hauser, H., & Shirts, P., 1997, ApJ, 474, L115 CrossRef
Callegari, N Jr., Michtchenko, T.A., & Ferraz-Mello, S., 2004, Celest. Mech. Dynam. Astron., 89, 201 CrossRef
Correia, A.C.M., Udry, S., Mayor, M., et al., 2005, A&A, 440, 751
Ferraz-Mello, S., Michtchenko, T.A., & Beaugé, C., 2006, Chaotic Worlds: From Order to Disorder in Gravitational $N$-Body Systems, ed. B.A. Steves (Kluwer Acad. Publ.)
Fischer, D.A., Marcy, G.W., Butler, R.P., et al., 2008, ApJ, 675, 790 CrossRef
Ford, E.B., Kozinsky, B., & Rasio, F., 2000, ApJ, 535, 385 CrossRef
Giuppone, C.A., Tadeu dos Santos, M., Beaugé, C., Ferraz-Mello, S., & Michtchenko, T.A., 2009, ApJ, 699, 1321 CrossRef
Ford, E.B., 2005, AJ, 129, 1706 CrossRef
Lee, M.H., & Peale, S.J., 2003, ApJ, 592, 1201 CrossRef
Gladman, B., 1993, Icarus, 106, 247 CrossRef
Goździewski, K., Konacki, M., & Maciejewski, A.J., 2005, ApJ, 622, 1136 CrossRef
Laskar, J., & Robutel, P., 1995, Celest. Mech. Dynam. Astron., 62, 193 CrossRef
Malige, F., Robutel, P., & Laskar, J., 2002, Celest. Mech. Dynam. Astron., 84, 283 CrossRef
Marchal, C., & Bozis, G., 1982, Celest. Mechan., 26, 311 CrossRef
Michtchenko, T.A., & Ferraz-Mello, S., 2001, AJ, 122, 474 CrossRef
Michtchenko, T., & Ferraz-Mello, S., 2001, Icarus, 149, 357 CrossRef
Michtchenko, T.A., Lazzaro, D., Ferraz-Mello, S., & Roig, F., 2002, Icarus, 158, 343 CrossRef
Michtchenko, T.A., & Malhotra, R., 2004, Icarus, 168, 237 CrossRef
Michtchenko, T.A., Ferraz-Mello, S., & Beaugé, C., 2006, Icarus, 181, 555 CrossRef
Michtchenko, T.A., Beaugé, C., & Ferraz-Mello, S., 2006, Celest. Mech. Dynam. Astron., 94, 411 CrossRef
Michtchenko, T.A., Beaugé, C., & Ferraz-Mello, S., 2008a, MNRAS, 387, 747 CrossRef
Michtchenko, T.A., Beaugé, C., & Ferraz-Mello, S., 2008b, MNRAS, 391, 215 CrossRef
Milani, A., & Nobili, A.M., 1984, Nature, 310, 753 CrossRef
Moons, M., & Morbidelli, A., 1993, Celest. Mech. Dynam. Astron., 57, 99 CrossRef
Murray, C.D., & Dermott, S.F., 1999, Solar System Dynamics
Roy, A.E., Walker, I.W., Carusi, A., & Valsecchi, G.B., 1984, A&A, 141, 25 PubMed
Zhou, L.-Y., Lehto, H.J., Sun, Y.-S., & Zheng, J.-Q., 2004, MNRAS, 350, 1495 CrossRef