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COMMISSION 7: Celestial Mechanics and Dynamical Astronomy

Published online by Cambridge University Press:  01 December 2005

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The orbital fits of multi-planetary systems from radial velocity data has proved to be a complex task. In some cases, different orbital solutions provide similarly good fits, especially when two planets are near mean-motion resonances. Ferraz-Mello et al (2005) and Goździewski et al (2005) showed that the published best fits of systems HD82932 and HD160691 are dynamically unstable, and re-determined their orbital parameters with Monte Carlo and genetic algorithms. In both cases dynamically stable orbits were found with RMS similar to the published orbits. It was also shown that uncertainties in the stellar mass Ferraz Mello et al (2005) and the stellar jitter Gozdziewski et al (2005) can significantly affect the orbital determination. Ford (2005) used a Markov chain Monte Carlo technique to quantify the orbit uncertainties. For some planetary systems he found a strong correlation between the orbital elements and/or significant non-Gaussian error distribution in the parameter space. As a consequence, the actual uncertainties in the orbital fits can be much larger (or smaller) than those published.

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Contributed Papers
Copyright
Copyright © International Astronomical Union 2007

References

Adams, F.C., Hollenbach, D., Laughlin, G., & Gorti, U. 2004. ApJ 611, 360Google Scholar
Beaugé, C., Ferraz-Mello, S. & Michtchenko, T.A. 2003, ApJ, 593, 1124Google Scholar
Benz, W., & Asphaug, E. 1999. Icarus 142, 5CrossRefGoogle Scholar
Bernstein, G.M., Trilling, D.E., Allen, R.L., Brown, M.E., Holman, M., & Malhotra, R. 2004. AJ 128, 1364Google Scholar
Bottke, W.F., Durda, D.D., Nesvorný, D., Jedicke, R., Morbidelli, A., Vokrouhlický, D., & Levison, H.F. 2005a, Icarus 175, 111Google Scholar
Bottke, W.F., Durda, D.D., Nesvorný, D., Jedicke, R., Morbidelli, A., Vokrouhlický, D., & Levison, H.F. 2005b, Icarus, in pressGoogle Scholar
Bottke, W.F., Vokrouhlický, D., Brož, M., Nesvorný, D., & Morbidelli, A. 2001 Science 294, 1693Google Scholar
Bottke, W.F., Vokrouhlický, D., Rubincam, D.P. & Brož, M. 2003, in: Bottke, W.F. et al. (eds.), Asteroids III (Arizona Univ. Press), p. 395Google Scholar
Brož, M., Vokrouhlický, D., Bottke, W. F., Nesvorný, D., Morbidelli, A., & Čapek, D. 2005, Proceedings of IAU Symposium 229, CUP, submittedGoogle Scholar
Brož, M., Vokrouhlický, D., Roig, F., Nesvorný, D., Bottke, W. F. & Morbidelli, A. 2005 Mon. Not. R. Astron. Soc. 359, 1437Google Scholar
Čapek, D. & Vokrouhlický, D. 2004 Icarus 172, 526CrossRefGoogle Scholar
Carruba, V., Michtchenko, T.A., Roig, F., Ferraz-Mello, S., & Nesvorný, D. 2005 A& A 441, 819Google Scholar
Chesley, S.R. 2005. In Proc. IAU Colloquium 197, CUP, 255CrossRefGoogle Scholar
Chesley, S.R., Ostro, S.J., Vokrouhlický, D., Čapek, D., Giorgini, J.D., Nolan, M.C., Margot, J.-L., Hine, A.A., Benner, L.A.M. & Chamberlin, A.B. 2003 Science 302, 1739Google Scholar
Chesley, S.R. & Yeomans, D.K. 2005, in: Knežević, Z. & Milani, A. (eds.), Proceedings of IAU Colloquium 197, CUP, 289Google Scholar
Cuntz, M., von Bloh, W., Bounama, Ch. & Frank, S. 2003, Icarus, 161, 214CrossRefGoogle Scholar
Davidsson, B.J.R., & Gutiérrez, P.J. 2005 Icarus 176, 453Google Scholar
Dell'Oro, A., Bigongiari, G., Paolicchi, P., & Cellino, A. 2004 Icarus 169, 341Google Scholar
Dobbs-Dixon, I., Lin, D.N.C. & Mardling, R.A. 2004, ApJ, 610, 464Google Scholar
Érdi, B., Dvorak, R., Sándor, Zs., Pilat-Lohinger, E. & Funk, B. 2004, MNRAS, 351, 1043Google Scholar
Farinella, P. & Vokrouhlický, D. 1999 Science 283, 1507Google Scholar
Farley, K.A., Vokrouhlický, D., Bottke, W.F., & Nesvorný, D. 2005, Nature, in pressGoogle Scholar
Ferraz-Mello, S., Beaugé, C. & Michtchenko, T.A. 2003, Cel. Mech. & Dynam. Astron., 87, 99Google Scholar
Ferraz-Mello, S., Michtchenko, T.A. & Beaugé, C. 2005, ApJ, 621, 473Google Scholar
Ford, E.B. 2005, AJ, 129, 1706Google Scholar
Gomes, R.S. 2003. Icarus 161, 404CrossRefGoogle Scholar
Gomes, R.S., Morbidelli, A., & Levison, H. F. 2004. Icarus 170, 492Google Scholar
Gomes, R., Levison, H. F., Tsiganis, K., & Morbidelli, A. 2005. Nature 435, 466Google Scholar
Goździewski, K. 2002, AA, 393, 997Google Scholar
Goździewski, K. & Konacki, M. 2004, ApJ, 610, 1093Google Scholar
Goździewski, K., Konacki, M. & Maciejewski, A.J. 2005, ApJ, 622, 1136CrossRefGoogle Scholar
Granvik, M., & Muinonen, K. 2005. Icarus, in press.Google Scholar
Granvik, M., Virtanen, J., Muinonen, K., Bowell, E., Koehn, B., & Tancredi, G. 2003. In First Decadal Review of the Edgeworth-Kuiper belt, 73.Google Scholar
Granvik, M., Muinonen, K., Virtanen, J., Delbo, M., Saba, L., De Sanctis, G., Morbidelli, R., Cellino, A., & Tedesco, E. 2005. In Proc. IAU Colloquium 197, CUP, 231.Google Scholar
Guillens, S.A., Vieira, Martins R., & Gomes, R.S. 2002, Astron. J., 124, 2322CrossRefGoogle Scholar
Hadjidemetriou, J. 2002, Cel. Mech. & Dynam. Astron., 83, 141Google Scholar
Hadjidemetriou, J. & Psychoyos, D. 2003, In Galaxies and Chaos (Contopoulos, G. and Voglis, N. eds.). Lecture Notes in Physics. Springer-Verlag. 412Google Scholar
Hestroffer, D., & Berthier, J. 2005. ESA SP 576, 297Google Scholar
Ida, S., Larwood, J., & Burkert, A. 2000. ApJ, 528, 351CrossRefGoogle Scholar
Jedicke, R., Nesvorný, D., Whiteley, R., Ivezić, Ž., & Jurić, M. 2004 Nature 429, 275CrossRefGoogle Scholar
Jones, B.W. & Sleep, P.N. 2002, AA, 393, 1015Google Scholar
Kaasalainen, M., Hestroffer, D., & Tanga, P. 2005. ESA SP 576, 301Google Scholar
Kenyon, S.J., & Bromley, B.C. 2004. AJ 128, 1916CrossRefGoogle Scholar
La Spina, A., Paolicchi, P., Kryszczynska, A. & Pravec, P. 2004 Nature 428, 400Google Scholar
Lee, M.H. & Peale, S.J. 2002, ApJ, 567, 596CrossRefGoogle Scholar
Lee, M.H. & Peale, S.J. 2003, ApJ, 592, 1201Google Scholar
Lee, M.H. 2004, ApJ, 611, 517CrossRefGoogle Scholar
Levison, H.F., & Morbidelli, A. 2003. Nature 426, 419CrossRefGoogle Scholar
Mardling, R.A. & Lin, D.N.C. 2002, ApJ, 573, 829Google Scholar
Marzari, F., Davis, D.R. & Vanzani, V. 1995 Icarus 113, 168Google Scholar
Marzari, F., Cellino, A., Davis, D.R., Farinella, P., Zappalá, V., & Vanzani, V. 1996 A&A 316, 248Google Scholar
Marzari, F., Farinella, P. & Davis, D.R. 1999 Icarus 142, 63Google Scholar
Menou, K. & Tabachnik, S. 2003, ApJ, 583, 473Google Scholar
Migliorini, F., Zappalá, V., Vio, R., & Cellino, A. 1995 Icarus 118, 271Google Scholar
Milani, A. 1999. Icarus 137, 269Google Scholar
Milani, A. & Farinella, P. 1994 Nature 370, 40CrossRefGoogle Scholar
Milani, A., Gronchi, G.F., de'Michieli Vitturi, M., & Knezević, Z. 2004. CMDA. 90, 59Google Scholar
Milani, A., Sansaturio, M.E., Tommei, G., Arratia, O., & Chesley, S.R. 2005a. A&A 431, 729Google Scholar
Milani, A., Chesley, S.R., Sansaturio, M.E., Tommei, G., & Valsecchi, G.B. 2005b. Icarus 173, 362Google Scholar
Milani, A., Gronchi, G.F., Knezević, Z., Sansaturio, M.E., & Arratia, O. 2005c. Icarus, in press.Google Scholar
Michtchenko, T.A. & Malhotra, R. 2004, Icarus, 168, 237Google Scholar
Morbidelli, A., & Levison, H.F. 2004. AJ 128, 2564Google Scholar
Morbidelli, A. & Vokrouhlický, D. 2003 Icarus 163, 120Google Scholar
Muinonen, K., & Bowell, E. 1993. Icarus 104, 255Google Scholar
Muinonen, K., & Virtanen, J. 2002. In Proc. of the International Workshop on Collaboration and Coordination Among NEO Observers and Orbit Computers, 105.Google Scholar
Muinonen, K., Virtanen, J., Granvik, M., & Laakso, T. 2005. ESA SP 576, 223.Google Scholar
Muinonen, K, Virtanen, J., Granvik, M., & Laakso, T. 2006. MNRAS, 368, 809.Google Scholar
Nelson, R.P. & Papaloizou, J.C.B. 2002, MNRAS, 333, L26Google Scholar
Nesvorný, D., Morbidelli, A., Vokrouhlický, D., Bottke, W.F., & Brož, M. 2002a, Icarus 157, 155Google Scholar
Nesvorný, D., Bottke, W.F., Dones, L., & Levison, H.F. 2002b, Nature 417, 720Google Scholar
Nesvorný, D., Bottke, W.F., Levison, H.F., & Dones, L. 2003 ApJ 591, 486Google Scholar
Nesvorný, D. & Bottke, W.F. 2004 Icarus 170, 324Google Scholar
Nesvorný, D., Jedicke, R., Whiteley, R., Ivezić, Ž., & Jurić, M. 2005a, Icarus 173, 132Google Scholar
Nesvorný, D., Vokrouhlický, D., Bottke, W.F., & Sykes, M.V. 2006, Icarus, 181, 107Google Scholar
Nesvorný, D., Bottke, W.F., Vokrouhlický, D., Morbidelli, A., & Jedicke, R., 2005c in: Ferraz-Mello, S. et al. (eds.), Asteroids, Comets and Meteors (Cambridge University Press), in pressGoogle Scholar
Ogilvie, G.I. & Lin, D.N.C 2004, ApJ, 610, 477Google Scholar
Papaloizou, J.C.B. 2003, Cel. Mech. & Dynam. Astron., 87, 53Google Scholar
Pätzold, M. & Rauer, H. 2002, ApJ, 568, L117Google Scholar
Pätzold, M., Carone, L. & Rauer, H. 2004, AA, 427, 1075Google Scholar
Quintana, E.V., Lissauer, J.J., Chambers, J.E. & Duncan, M.J. 2002, ApJ, 576, 982Google Scholar
Rickman, H., Froeschlé, C., Froeschlé, C., & Valsecchi, G. B. 2004 A&A 428, 673Google Scholar
Sasselov, D.D. 2003, ApJ, 596, 1327Google Scholar
Slivan, S.M. 2002 Nature 419, 49Google Scholar
Snellgrove, M.D., Papaloizou, J.C.B. & Nelson, R.P. 2001, AA, 374, 1092Google Scholar
Stone, J. M., Gammie, C. F., Balbus, S. A. & Hawley, J. F. 1998, in Protostars and Planets IV (eds Mannings, V., Boss, A. P. and Russell, S. S.) 589 (Univ. Arizona Press, Tucson, 1998)Google Scholar
Thébault, P, Marzari, F., Scholl, H., Turrini, D. & Barbieri, M. 2004, AA, 427, 1097Google Scholar
Thommes, E.W. & Lissauer, J.L. 2003, ApJ, 597, 566Google Scholar
Tsiganis, K., Gomes, R., Morbidelli, A., & Levison, H.F. 2005. Nature 435, 459Google Scholar
Tsiganis, K., Varvoglis, H. & Morbidelli, A. 2003 Icarus 166, 131Google Scholar
Veras, D. & Armitage, P.J. 2004, Icarus, 172, 349Google Scholar
Virtanen, J., Muinonen, K., & Bowell, E. 2001. Icarus 154, 412Google Scholar
Virtanen, J., Tancredi, G., Muinonen, K., & Bowell, E. 2003. Icarus 161, 419Google Scholar
Vokrouhlický, D., Bottke, W.F. & Nesvorný, D. 2003 Nature 425, 147Google Scholar
Vokrouhlický, D., Brož, M., Bottke, W.F., Nesvorný, D., & Morbidelli, A. 2005a, Icarus, in pressGoogle Scholar
Vokrouhlický, D., Brož, M., Bottke, W.F., Nesvorný, D., & Morbidelli, A. 2005b, Icarus, submittedGoogle Scholar
Vokrouhlický, D., Brož, M., Bottke, W.F., Nesvorný, D., & Morbidelli, A. 2005c, Icarus, submittedGoogle Scholar
Vokrouhlický, D., Brož, M., Farinella, P. & Knežević, Z. 2001 Icarus 150, 78Google Scholar
Vokrouhlický, D. & Čapek, D. 2002 Icarus 159, 449Google Scholar
Vokrouhlický, D., Čapek, D., Kaasalainen, M. & Ostro, S.J. 2004 Astron. Astrophys. 414, L21Google Scholar
Vokrouhlický, D., Čapek, D., Chesley, S.R. & Ostro, S.J. 2005c, Icarus, 173, 176CrossRefGoogle Scholar
Vokrouhlický, D., Čapek, D., Chesley, S.R. & Ostro, S.J. 2005d, Icarus, 179, 128.Google Scholar
Vokrouhlický, D., Milani, A., & Chesley, S.R. 2000 Icarus 148, 118Google Scholar
Weidenschilling, S. 2003. in Comet II, Festou, et al. eds. (Arizona Univ. Press), pp. 97104.Google Scholar
Yeomans, D.K., Chodas, P.W., Sitarski, G., Szutowicz, S. & Królikowska, M. 2004, in: Festou, M.C. et al. , (eds.), Comets II (Arizona Univ. Press)Google Scholar
Youdin, A. N., & Shu, F. H. 2002. ApJ 580, 494Google Scholar