Tidal dynamics of extended bodies in planetary systems and multiple stars

Astronomy and Astrophysics

Volumn 497, Issue 3, 2009, Pages 889-910

  Mathis, S ^a,b   Le Poncin Lafitte, C ^c  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b UNIVERSITÉ PARIS DIDEROT   (France)

^c OBSERVATOIRE DE PARIS   (France)

Author keywords

Celestial mechanics; Gravitation

Indexed keywords

ASTRONOMICAL UNITS; BINARY STARS; CARTESIANS; CELESTIAL MECHANICS; DISTURBING FUNCTIONS; DYNAMICAL EQUATIONS; DYNAMICAL EVOLUTIONS; EXTRA-SOLAR PLANETS; GIANT PLANETS; GRAVITATIONAL FIELDS; GRAVITATIONAL INTERACTIONS; GRAVITATIONAL POTENTIALS; MULTIPLE STARS; MULTIPOLE MOMENTS; MUTUAL INTERACTIONS; NATURAL SATELLITES; PLANETARY SYSTEMS; SPACE MISSIONS; SPHERICAL HARMONICS; TIDAL DYNAMICS; TIDAL INTERACTIONS;

ALGEBRA; ASTRONOMICAL SATELLITES; ASTROPHYSICS; DIFFERENTIAL EQUATIONS; DYNAMICS; GRAVITATIONAL EFFECTS; HARMONIC ANALYSIS; NUMBER THEORY; PLANETS; SATELLITES; STARS;

SOLAR SYSTEM;

EID: 65249161148     PISSN: 00046361     EISSN: 14320746     Source Type: Journal    
DOI: 10.1051/0004-6361/20079054     Document Type: Article

References (45)

1. Abramowitz, M., & Stegun, I. 1972, Handbook of mathematical functions (New York: Dover)
2. Alexander, M. E. 1973, Ap&SS, 23, 459
3. Andoyer, H. 1926, Mécanique Céleste (Paris: Gauthier-Villars)
4. Blanchet, L., & Damour, T. 1986, Phil. Trans. R. Soc. Lon. A, 320, 379
5. Bordé, P., Rouan, D., & Léger, A. 2003, 405, 1137
6. Borderies, N. 1978, Celest. Mech., 18, 295
7. Borderies, N. 1980, A&A, 82, 129
8. Borderies, N., & Yoder, C. F. 1990, A&A, 233, 235
9. Borucki, W. J., Koch, D. G., Lissauer, J., et al. 2007, Transiting Extrasolar Planets, Proceedings of the conference held 25-28 September 2006 at the Max Planck Institute for Astronomy in Heidelberg, Germany, ed. C. Afonso, D. Weldrake, & Th. Henning (San Francisco: ASP), ASP Conf. Ser., 366, 309
10. Brouwer, D., & Clemence, G. M. 1961, Methods of celestial mechanics (New York: Academic Press)
11. Correia, A. C. M. 2001, Ph. D. Thesis, Université Paris VII
12. Correia, A. C. M., & Laskar, J. 2001, Nature, 411 (Issue 6839), 767
13. Correia, A. C. M., & Laskar, J. 2003a, Icarus, 163, 24
14. Correia, A. C. M., & Laskar, J. 2003b, J. Geophys. Res., 108 (Issue E11), 5123
15. Correia, A. C. M., Laskar, J., & Néron de Surgy, O. 2003, Icarus, 163, 1
16. Correia, A. C. M., Levrard, B., & Laskar, J. 2008, A&A, 488, L63
17. Courant, R., & Hilbert, D. 1953, Methods of Mathematical Physics (New York: Interscience)
18. Damour, T., Soffel, M. H., & Xu, C. 1992, Phys. Rev. D, 45, 1017
19. Fabrycky, D. C., Johnson, E. T., & Goodman, J. 2007, ApJ, 665, 754
20. Gelfand, I. M., Minlos, R. A., & Shapiro, Z. Ya. 1963, Representation of the Rotation of the Lorentz groups (Oxford: Pergamon)
21. Guillot, T. 1999, Planet. Space Sci., 47, 1183
22. Hartmann, T., Soffel, M. H., & Kioustelidis, T. 1994, Celest. Mech. Dyn. Astron., 60, 139
23. Hut, P. 1981, A&A, 99, 126
24. Hut, P. 1982, A&A, 110, 37
25. Ilk, K. H. 1983, Ph.D. Thesis, Technischen Universitaet, Munich Bayerische Akademie der Wissenschaften
26. Kaula, W. M. 1962, AJ, 67, 300
27. Kippenhahn, R., & Weigert, W. 1990, Stellar Structure and Evolution (Springer)
28. Lambeck, K. 1980, The Earth's Variable Rotation (Cambridge University Press)
29. Levrard, B., Correia, A. C. M., Chabrier, G., et al. 2007, A&A, 462, L5
30. Laskar, J. 2005, Celest. Mech. Dyn. Astron., 91, 351
31. Laskar, J., & Correia, A. C. M. 2004, Extrasolar Planets: Today and Tomorrow, ed. J.-P. Beaulieu, A. Lecavelier des Etangs, & C. Terquem, ASP Conf. Proc., 321, 401
32. Maciejewski, A. J. 1995, Celest. Mech. Dyn. Astron., 63, 1
33. Mayor, M., Pont, F., & Vidal-Madjar, A. 2005, Progr. Theor. Phys. Suppl., 158, 43
34. Melchior, P. J. 1971, Physique et dynamique planétaire (Bruxelles: Vander)
35. Néron de Surgy, O. 1996, Ph.D. Thesis, Observatoire de Paris
36. Néron de Surgy, O., & Laskar, J. 1997, A&A, 318, 975
37. Rogister, Y., & Rochester, M. G. 2004, Geophys. J. Inter., 159, 874
38. Roxburgh, I. W. 2001, A&A, 377, 688
39. Thorne, K. 1980, Rev. Mod. Phys., 52, 299
40. Tisserand, F. F. 1889, Traité de Mécanique Céleste Tome I (Paris: Gauthier Villars)
41. Tisserand, F. F. 1891, Traité de Mécanique Céleste Tome II (Paris: Gauthier Villars)
42. Yoder, C. F. 1995, Icarus, 117, 250
43. Zahn, J.-P. 1966a, Annales d'Astrophysique, 29, 313
44. Zahn, J.-P. 1966b, Annales d'Astrophysique, 29, 489
45. Zahn, J.-P. 1977, A&A, 57, 383