Dynamics of the Extrasolar Planetary Systems

Extrasolar Planets: Formation, Detection and Dynamics

Volumn , Issue , 2008, Pages 151-178

  Michtchenko, Tatiana A ^a   Ferraz Mello, Sylvio ^a   Beaugé, Christian ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

Classification; Dynamical maps; Dynamical modeling; Dynamics; Extrasolar planets; Nearly resonant systems; Numerical integrations; Resonant dynamics; Secular dynamics; Small eccentricities

Indexed keywords

EID: 84889318793     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527621361.ch7     Document Type: Chapter

References (56)

1. Wolszczan, A., and D. A. Frail 1992, A planetary system around the millisecond pulsar PSR1257 + 12. Nature 355, 145-147.
2. Mayor M. and D. Queloz 1995, A Jupitermass companion to a solar-type star. Nature 378, 355-359.
3. Ferraz-Mello, S., T.A. Michtchenko, C. Beaugé, and N. Callegari 2005. Extrasolar planetary systems. In Chaos and Stability in Planetary Systems (R. Dvorak et al., eds.), Springer-Verlag Berlin Heidelberg.
4. Ford, E.B., B. Kozinsky, and F. Rasio 2000, Secular evolution of hierarchical triple star systems. ApJ 535, 385-401.
5. Lee, M.H. and S.J. Peale 2003, Secular evolution of hierarchical planetary systems. ApJ 592, 1201-1216.
6. Ford, E.B. 2005, Quantifying the uncertainty in the orbits of extrasolar planets. AJ 129, 1706-1717.
7. Beaugé, C., T. A. Michtchenko, and S. Ferraz-Mello 2006, Planetary migration and extrasolar planets in the 2/1 meanmotion resonance. MNRAS 365, 1160- 1170.
8. Zhou, L.-Y.,H. J. Lehto, Y.-S. Sun, and J.-Q. Zheng 2004, Apsidal corotation in meanmotion resonance: the 55 Cancri system as an example. MNRAS 350, 1495-1502.
9. Correia, A. C. M., Udry, S., Mayor, M., Laskar, J., Naef, D., Pepe, F., Queloz, D., Santos, N. C. 2005, The CORALIE survey for southern extrasolar planets. XIII. A pair of planets around HD202206 or a circumbinary planet? A& A 440, 751-758.
10. Butler, R.P., G.W. Marcy, E. Williams, H. Hauser, and P. Shirts 1997, Three new "51 Pegasi-Type" planets. ApJ 474, L115-L118.
11. Gózdziewski, K., M. Konacki, and A. J. Maciejewski 2005, Orbital Solutions to the HD 160691 (μ Arae) Doppler signal. ApJ 622, 1136-1148.
12. Beaugé, C., and T. A. Michtchenko 2003, Modelling the high-eccentricity planetary three-body problem. Application to the GJ876 planetary system. MNRAS 341, 760-770.
13. Callegari, N., Jr., T. A. Michtchenko, and S. Ferraz-Mello 2004, Dynamics of two planets in the 2/1 mean-motion resonance. CMDA 89, 201-234.
14. Callegari, N., Jr., S. Ferraz-Mello, and T. A. Michtchenko 2006, Dynamics of two planets in the 3/2 mean-motion resonance: application to the planetary system of the pulsar PSR B1257+12. CMDA 94, 381-397.
15. Laskar, J., and P. Robutel 1995, Stability of the planetary three-body problem: I. Expansion of the planetary Hamiltonian. CMDA 62, 193-217.
16. Malige, F., P. Robutel, and J. Laskar. 2002, Partial reduction in the N-body planetary problem using the angular momentum integral. CMDA 84, 283-316.
17. Michtchenko, T. and S. Ferraz-Mello 2001, Modeling the 5:2 mean-motion resonance in the Jupiter-Saturn planetary system. Icarus 149, 357-374.
18. Michtchenko, T.A., and R. Malhotra 2004, Secular dynamics of the three-body problem: application to the υ Andromedae planetary system. Icarus 168, 237-248.
19. Michtchenko, T.A., S. Ferraz-Mello, and C. Beaugé 2006, Modeling the 3-D secular planetary three-body problem. Discussion on the outer υ Andromedae planetary system. Icarus 181, 555-571.
20. Brouwer, D., and G.M. Clemence 1961, Methods of Celestial Mechanics. Academic Press Inc., New York.
21. Laplace, P.S. 1799, Mécanique Céleste. English translation by N. Bowditch, Chelsea Pub. Comp. Edition, N.Y., 1966.
22. Ferraz-Mello, S., T.A. Michtchenko, and C. Beaugé 2006, Regular motions in extrasolar planetary systems. In Chaotic Worlds: From Order to Disorder in Gravitational NBody Systems, (B.A. Steves, ed.), Kluwer Acad. Publ. (in press). 22.
23. Laskar, J. 2000, On the spacing of planetary systems. Phys. Rev. Letters 84, 3240- 3243.
24. Poincaré, H. 1897, Sur une forme nouvelle des équations du problème des trois corps. Bull. Astron. 14, 53-67.
25. Milani A., and A. M. Nobili 1984, Resonance locking between Jupiter and Uranus. Nature 310, 753-755.
26. Barnes, R., and Greenberg, R. 2006. Extrasolar planetary systems near a secular separatrix. ApJ 638, 478-487.
27. Pauwels, T. 1983, Secular orbit-orbit resonance between two satellites with nonzero masses. Cel. Mech. 30, 229-247.
28. Michtchenko, T.A., D. Lazzaro, S. Ferraz-Mello, and F. Roig 2002, Origin of the basaltic asteroid 1459 Magnya: A dynamical and mineralogical study of the outer main belt. Icarus 158, 343-359.
29. Gladman, B. 1993, Dynamics of systems of two close planets. Icarus 106, 247-263.
30. Marchal, C., and G. Bozis 1982, Hill stability and distance curves for the general three-body problem. Cel. Mech. 26, 311- 333.
31. Roy,A. E., I. W. Walker,A. Carusi, and G. B. Valsecchi 1984, The use of the energy and angular momentum integrals to obtain a stability criterion in the general hierarchical three-body problem. A& A 141, 25-29.
32. Jacobi, C.G.J. 1842, "Sur l'elimination des noeuds dans le problème des trois corps". Astronomische Nachrichten, Bd XX, 81-102.
33. Lidov, R. 1963, Analiz evolucii orbit iskustvennich sputnikov. Problemi dvigenia iskustvennich nebesnich tel, Izd.Akademii Nauk SSSR, Moscow, 119-134.
34. Michtchenko, T.A., and S. Ferraz-Mello 2001, Resonant structure of the outer Solar System in the neighborhood of the planets. AJ 122, 474-481.
35. Beaugé, C., S. Ferraz-Mello, and T. A. Michtchenko 2003, Extrasolar planets in mean-motion resonance: apses alignment and asymmetric stationary solutions. ApJ 593, 1124-1133.
36. Michtchenko, T.A., C. Beaugé, and S. Ferraz-Mello 2006, Stationary orbits in resonant extrasolar planetary systems. CMDA 94, 411-432.
37. Laughlin, G., and J. E. Chambers 2001, Short-term dynamical interactions among extrasolar planets. ApJ 551, L109-L113.
38. Laughlin, G., Butler, R. P., Fischer, D. A., Marcy, G. W., Vogt, S. S.,Wolf, A. S. 2005, The GJ 876 planetary system: a progress report. ApJ 622, 1182-1190.
39. Rivera, E. J., Lissauer, J. J., Butler, R. P., Marcy,G.W., Vogt, S. S., Fischer,D. A., Brown, T. M., Laughlin, G., and Henry, G.W. 2005, A 7.5 M planet orbiting the nearby star, GJ 876. ApJ 634, 625-640.
40. Kley,W., DÁngelo, G., and Henning, T. 2001, Three-dimensional simulations of a planet embedded in a protoplanetary disk. ApJ 547, 457-464.
41. Kley,W. 2003, Dynamical evolution of planets in disks. CMDA, 87, 85-97.
42. Nelson, R. P., and Papaloizou, J. C. B. 2002, Possible commensurabilities among pairs of extrasolar planets. MNRAS 333, L26-L30.
43. Papaloizou, J. C. B. 2003, Disc-planet interactions: migration and resonances in extrasolar planetary systems. CMDA 87, 53-83.
44. Snellgrove, M. D., Papaloizou, J. C. B., and Nelson, R. P. 2001, On disc driven inward migration of resonantly coupled planets with application to the system around GJ876. A& A 374, 1092-1099.
45. Mayor, M., Udry, S., Naef, D., Pepe, F., Queloz, D., Santos, N. C., and Burnet, M. 2004, A& A, 415, 391-402.
46. Ji, J., Kinoshita, H., Liu, L., Li, G., and Nakai, H. 2003, The apsidal antialignment of the HD 82943 system. CMDA 87, 113-120.
47. Lee, M.H. 2004, Diversity and origin of 2:1 orbital resonances in extrasolar planetary systems. ApJ 611, 517-527.
48. Ferraz-Mello, S., T.A. Michtchenko, and C. Beaugé 2005, The orbits of the extrasolar planets HD 82943 c and b. ApJ 621, 473-481.
49. Lee, M.H., Butler, R.P., Fischer, D.A., Marcy, G.W., and Vogt, S.S. 2006, On the 2:1 orbital resonance in the HD 82943 planetary system. ApJ, 641, 1178-1187.
50. Gózdziewski, K., and M. Konacki 2006, Trojan Pairs in the HD 128311 and HD 82943 planetary Systems? ApJ 647, 573- 586.
51. de La Barre, C. M., Kaula, W. M., and Varadi, F. 1996, A study of orbits near Saturn's triangular Lagrangian points. Icarus 121, 88-113.
52. Liou, J.-C., and R. Malhotra 1997, Depletion of the outer asteroid belt. Science 275, 375-377.
53. Michtchenko, T.A., and S. Ferraz-Mello 1997, Escape of asteroids from the Hecuba gap. Planet. Space Sci. 45, 1587-1593.
54. Ferraz-Mello, S. and T.A. Michtchenko 2002, Extra-solar Planetary Systems. Revista Mexicana de Astronomía y Astrofísica (Serie de Conferencias) 14, 7-10.
55. Malhotra, R., Black, D., Eck, A., and Jackson, A. 1992, Resonant orbital evolution in the putative planetary system of PSR1257 + 12. Nature 356, 583-585.
56. Rasio, F. A., Nicholson, P. D., Shapiro, S. L., and Teukolsky, S. A. 1992. A observational test for the existence of a planetary system orbiting PSR1257 + 12. Nature 355, 325-326.