Secular dynamics of a coplanar, non-resonant planetary system under the general relativity and quadrupole moment perturbations

Monthly Notices of the Royal Astronomical Society

Volumn 392, Issue 1, 2009, Pages 2-18

  Migaszewski, Cezary ^a   Goździewski, Krzysztof ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

Celestial mechanics; Methods: analytical; Methods: N body simulations; Planetary systems

Indexed keywords

DYNAMICS; EQUATIONS OF MOTION; GRAVITATION; HIERARCHICAL SYSTEMS; ORBITS; PHASE SPACE METHODS; RELATIVITY; SPIN DYNAMICS; STARS;

CELESTIAL MECHANICS; GENERALIZED MODELS; METHODS:ANALYTICAL; METHODS:N-BODY SIMULATIONS; MODE II; PHASE SPACES; PLANETARY SYSTEM; QUADRUPOLE MOMENTS; SEMIMAJOR AXIS; SPIN RATE;

ASTROPHYSICS;

EID: 57849090067     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2008.14025.x     Document Type: Article

References (39)

1. Adams F. C., Laughlin G., 2006a, ApJ, 649, 992
2. Adams F. C., Laughlin G., 2006b, Int. J. Mod. Phys., D15, 2133
3. Agol E., Steffen J., Sari R., Clarkson W., 2005, MNRAS, 359, 567
4. Arnold V. I., Kozlov V. V., Neishtadt A. I., 1993, Encyclopaedia of Mathematical Sciences, Dynamical Systems III. Mathematical Aspects of Classical and Celestial Mechanics. Springer-Verlag, Berlin
5. Benitez F., Gallardo T., 2008, Celest. Mech. Dyn. Astron., 101, 289
6. Brouwer D., Clemence G. M., 1961, Methods of Celestial Mechanics. Academic Press, New York
7. Butler R. P., Marcy G. W., Fischer D. A., Brown T. M., Contos A. R., Korzennik S. G., Nisenson P., Noyes R. W., 1999, ApJ, 526, 916
8. Butler R. P. et al., 2006, ApJ, 646, 505
9. Charbonneau D., Brown T. M., Latham D. W., Mayor M., 2000, ApJ, 529, L45
10. Ferraz-Mello S., Michtchenko T. A., Beaugé C., 2006, in Steves B. A., Maciejewski A. J., Hendry M., eds, Chaotic Worlds: From Order to Disorder in Gravitational N-body Dynamical Systems. Springer, Dordrecht, p. 255
11. Fischer D. A., Marcy G. W., Butler R. P., Vogt S. S., Frink S., Apps K., 2001, ApJ, 551, 1107
12. Ford E. B., Kozinsky B., Rasio F. A., 2000, ApJ, 535, 385
13. Godier S., Rozelot J.-P., 1999, A&A, 350, 310
14. Goździewski K., Migaszewski C., Konacki M., 2008, MNRAS, 385, 957
15. Iorio L., 2006, preprint (gr-qc/0609112)
16. Kidder L. E., 1995, Phys. Rev. D, 52, 821
17. Laskar J., 2008, Icarus, 196, 1
18. Laskar J., Robutel P., 1995, Celest. Mech. Dyn. Astron., 62, 193
19. Lee M. H., Peale S. J., 2003, ApJ, 592, 1201
20. Libert A.-S., Henrard J., 2005, Celest. Mech. Dyn. Astron., 93, 187
21. Mardling R. A., 2007, MNRAS, 382, 1768
22. Mardling R. A., Lin D. N. C., 2002, ApJ, 573, 829
23. Michtchenko T. A., Ferraz-Mello S., 2001, AJ, 122, 474
24. Michtchenko T. A., Malhotra R., 2004, Icarus, 168, 237
25. Michtchenko T. A., Ferraz-Mello S., Beaugé C., 2006, Icarus, 181, 555
26. Migaszewski C., Goździewski K., 2008a, MNRAS, 388, 789
27. Migaszewski C., Goździewski K., 2008b, MNRAS, submitted
28. Miralda-Escudé J., 2002, ApJ, 564, 1019
29. Morbidelli A., 2002, Modern Celestial Mechanics: Aspects of Solar System Dynamics. Taylor & Francis, London
30. Murray C. D., Dermott S. F., 2000, Solar System Dynamics. Cambridge Univ. Press, Cambridge
31. Nagasawa M., Lin D. N. C., 2005, ApJ, 632, 1140
32. Pauwels T., 1983, Celest. Mech., 30, 229
33. Pijpers F. P., 1998, MNRAS, 297, L76
34. Poincaré H., 1897, Bull. Astron., Ser. I, 14, 53
35. Richardson D. L., Kelly T. J., 1988, Celest. Mech., 43, 193
36. Rodríguez A., Gallardo T., 2005, ApJ, 628, 1006
37. Veras D., Armitage P. J., 2007, ApJ, 661, 1311
38. Vogt S. S., Butler R. P., Marcy G. W., Fischer D. A., Henry G. W., Laughlin G., Wright J. T., Johnson J. A., 2005, ApJ, 632, 638
39. Winn J. N. et al., 2005, ApJ, 631, 1215