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http://dx.doi.org/10.5140/JASS.2008.25.3.239

TITIUS-BODE'S Relation and 55 Cancri  

Chang, Heon-Young (Department of Astronomy and Atmospheric Sciences, Kyungpook National University)
Publication Information
Journal of Astronomy and Space Sciences / v.25, no.3, 2008 , pp. 239-244 More about this Journal
Abstract
Two kinds of important issues on Titius-Bode's relation have been discussed up to now: one is if there is a simple mathematical relation between distances of natural bodies orbiting a central body, and the other is if there is any physical basis for such a relation. These may be tackled by answering a question whether Titius-Bode's relation is valid universally in exo-planetary systems. We have examined whether Titius Bode's relation is also applicable to exo-planetary systems by statistically studying the distribution of the ratio of rotational periods of two planets in an exo-planetary system, 55 Cnc, by comparing it with that derived from Titius-Bode's relation. We find that the distribution of the ratio of rotational periods of randomly chosen two planets in the 55 Cnc system is apparently inconsistent with that derived from Titius-Bode's relation. The probability that two data sets are drawn from the same distribution function is 50%. We also find that the Fourier power spectra show that the distribution of the semi-major axis of planets in the 55 Cnc system seems to be stretched. We conclude by pointing out that large numbers of planets should be examined to more convincingly explain the distribution of the distance of planetary formation regions.
Keywords
celestial mechanics; solar system; general; general;
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  • Reference
1 Pletser, V. 1986, Earth, Moon, and Planets, 36, 209
2 Pletser, V. 1988, Earth, Moon, and Planets, 42, 1   DOI
3 Poveda, A. & Lara, P. 2008, astro-ph/0803.2240
4 Lynch, P. 2003, MNRAS, 341, 1174   DOI   ScienceOn
5 Neuh¨auser, R. & Feitzinger, J. V. 1986, A&A, 170, 174
6 Nieto, M. M. 1970, A&A, 8, 105
7 Nieto, M. M. 1972, The Titius-Bode Law of Planetary Distances: Its History and Theory (Oxford:Pergamon Press)
8 Kotliarov, I. 2008, astro-ph/0806.3532
9 Lecar, M. 1973, Nature, 242, 318   DOI
10 Li, X. Q., Zhang, H., & Li, Q. B. 1995, A&A, 304, 617
11 Rawal, J. J. 1984, Earth, Moon, and Planets, 31, 175   DOI
12 Rawal, J. J. 1986, Earth, Moon, and Planets, 34, 93   DOI
13 Rawal, J. J. 1989, Earth, Moon, and Planets, 44, 265   DOI
14 Fischer, D. A., Marcy, G. W., Butler, R. P., Vogt, S. S., Laughlin, G., Henry, G. W., Abouav, D., Peek, K. M. G., Wright, J. T., Johnson, J. A., McCarthy, C., & Isaacson, H. 2008, ApJ, 675, 790   DOI
15 Stone, E. C. & Miner, E. D. 1986, Science, 233, 39   DOI   ScienceOn
16 Vahia, M. N., Mahajani, P., & Rao, A. R. 2003, BASI, 31, 37
17 Prentice, A. J. R. 1977, in The Origin of the Solar System, ed. S. F. Dermott (New York: Wiley)
18 Ragnarsson, S.-I. 1995, A&A, 301, 609
19 Rawal, J. J. 1978, BASI, 6, 92
20 Llibre, J. & Pin˜ol, C. 1987, AJ, 93, 1272   DOI
21 Louise, R. 1982, M&P, 26, 93
22 Graner, F. & Dubrulle, B. 1994a, A&A, 282, 262
23 Graner, F. & Dubrulle, B. 1994b, A&A, 282, 269
24 Hayes, W. & Tremaine, S. 1998, Icarus, 135, 549   DOI   ScienceOn
25 Isaacman, R. & Sagan, C. 1977, Icarus, 31, 510   DOI   ScienceOn
26 Dobo, A. 1981, Astron. Nachr., Bd.302, H.2
27 Dermott, S. F. 1972, in On the Origin of the Solar System-Nice Symposium, ed. H. Reeves (Paris:CNRS), p.320
28 Dermott, S. F. 1973, Nature, 244, 18   DOI
29 Blagg, M. A. 1913, MNRAS, 73, 414   DOI
30 Dermott, S. F. 1968, MNRAS, 141, 363   DOI
31 Basano, L. & Hughes, D. W. 1979, Il Nuovo Cimento, Vol.2C, 505
32 Richardson, D. E. 1945, Astron., 53, 1
33 Ortiz, J. L., Moreno, F., Molina, A., Sanz, P. S., & Gutierrez, P. J. 2007, MNRAS, 379, 1222   DOI   ScienceOn
34 Patton, J. M. 1988, CeMec, 44, 365