Stability and eccentricity for two planets in a 1:1 resonance, and their possible occurrence in extrasolar planetary systems

Astronomical Journal

Volumn 124, Issue 4 1762, 2002, Pages 2332-2338

  Nauenberg, Michael ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Celestial mechanics; Planetary systems

Indexed keywords

EID: 0141532174     PISSN: 00046256     EISSN: None     Source Type: Journal    
DOI: 10.1086/342934     Document Type: Article

References (19)

1. Bennett, A. 1965, Icarus, 4, 177
2. Caton, D. B. 2002, Poster presented at conf. on Scientific Frontiers in Research on Extrasolar Planets
3. Danby, J. M. A. 1964, AJ, 69, 165
4. Fischer, D. A., Marcy, G. W., Butler, R. P., Vogt, S. S., Frink, S., & Apps, K. 2001, ApJ, 551, 1107
5. Grimshaw, R. 1990, Nonlinear Ordinary Differential Equations (Oxford: Blackwell Sci.)
6. Lagrange, J. L. 1873, in Oeuvres de Lagrange, Vol. 6, ed. J.-A. Serret (Paris: Gauthier-Villars), 272
7. Laughlin, G., & Chambers, J. E. 2001, ApJ, 551, L109
8. _. 2002, AJ, 124, 592
9. Lee, M. H., & Peale, S. J. 2002, ApJ, 567, 596
10. Marchal, C. 1990, The Three-Body Problem (Amsterdam: Elsevier)
11. Marcy, G. W., Butler, R. P., Fischer, D., Vogt, S. S., Lissauer, J. J., & Rivera, E. J. 2001, ApJ, 556, 296
12. Marcy, G. W., Fischer, D. A., Butler, R. P., & Vogt, S. S. 2002, in IAU Symp. 202, Planetary Systems in the Universe, ed. A. J. Penny, P. Artymowicz, A.-M. Lagrange, & S. S. Russell (San Francisco: ASP), in press
13. Murray, C. D., & Dermott, S. F. 1999, Solar System Dynamics (Cambridge: Cambridge Univ. Press), 77
14. Nauenberg, M. 2001, Phys. Lett. A, 292, 93
15. _. 2002, ApJ, 568, 369
16. Rivera, E. J., & Lissauer, J. J. 2001, ApJ, 558, 392
17. Routh, E. J. 1875, Proc. London Math. Soc., 6, 86 (repr. in Stability of Motion, ed. A. T. Fuller [London: Taylor & Francis], chap. 3 [1975])
18. Routh, E. J. 1875, Proc. London Math. Soc., 6, 86 (repr. in Stability of Motion, ed. A. T. Fuller [London: Taylor & Francis], chap. 3 [1975])
19. Siegel, C. L., & Moser, J. K. 1971, Lectures on Celestial Mechanics (Berlin: Springer)