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DIVISION A COMMISSION 7: CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY

Published online by Cambridge University Press:  13 April 2016

Alessandro Morbidelli ,
Cristian Beaugé ,
Zoran Knežević ,
Alessandra Celetti ,
Nader Haghighipour ,
Piet Hut ,
Jacques Laskar ,
Seppo Mikkola  and
Fernando Roig
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In order to mark a distinction with the traditional triennial reports, for this legacy issue we have asked our present and past OC members, as well as a few other outstanding members of the Celestial Mechanics community, to write a short essay on “recent highlights and the future of Celestial Mechanics”. Below we collect the contributions of the people who responded to our invitation. As it is natural, each of them interpreted their task differently. Some produced a dissertation on broad and general aspects, others focused on a specific topic of their interest. Some considered that their role was to provide a detailed review, with a list of key references, others preferred to mention the topics for which progress has been significant but without quoting any references, implicitly considering that this progress was possible thanks to the collective efforts of many scientists, and not just a few. This is great, as we appreciate the diversity of attitudes and opinions.

Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 11 , Issue T29A: Transactions IAU , August 2015 , pp. 24 - 45
Copyright
Copyright © International Astronomical Union 2016 

References

Agnor, C. B. & Hamilton, D. P. 2006, Nature, 441, 192CrossRefGoogle Scholar
Alibert, Y., Carron, F., Fortier, A., et al. 2013, Astron. Astrophys., 558, A109CrossRefGoogle Scholar
Batygin, K., Morbidelli, A., & Holman, M. J. 2015, Astrophys. J., 799, 120Google Scholar
Beaugé, C. & Nesvorný, D. 2012, Astrophys. J., 751, 119Google Scholar
Boué, G., Laskar, J., & Farago, F. 2012, Astron. Astrophys., 548, A43CrossRefGoogle Scholar
Brasser, R., Morbidelli, A., Gomes, R., Tsiganis, K., & Levison, H. F. 2009, Astron. Astrophys. 507, 1053Google Scholar
Brasser, R., Walsh, K. J., & Nesvorný, D. 2013, Mon. Not. R. Astron. Soc., 433, 3417CrossRefGoogle Scholar
Correia, A. C. M., Boué, G., Laskar, J., & Rodríguez, A. 2014, Astron. Astrophys., 571, A50CrossRefGoogle Scholar
Correia, A. C. M., Couetdic, J., Laskar, J., et al. 2010, Astron. Astrophys., 511, A21CrossRefGoogle Scholar
Correia, A. C. M., Laskar, J., Farago, F., & Boué, G. 2011, Celestial Mechanics and Dynamical Astronomy, 111, 105CrossRefGoogle Scholar
Correia, A. C. M., Udry, S., Mayor, M., et al. 2005, Astron. Astrophys., 440, 751CrossRefGoogle Scholar
Cresswell, P. & Nelson, R. P. 2006, Astron. Astrophys., 450, 833Google Scholar
Delisle, J.-B., Laskar, J., Correia, A. C. M., & Boué, G. 2012, Astron. Astrophys., 546, A71Google Scholar
Efroimsky, M. 2012, Celestial Mechanics and Dynamical Astronomy, 112, 283CrossRefGoogle Scholar
Efroimsky, M. & Lainey, V. 2007, Journal of Geophysical Research (Planets), 112, 12003Google Scholar
Fabrycky, D. & Tremaine, S. 2007, Astrophys. J., 669, 1298Google Scholar
Ferraz-Mello, S. 2013, Celestial Mechanics and Dynamical Astronomy, 116, 109Google Scholar
Lainey, V., Arlot, J.-E., Karatekin, Ö., & van Hoolst, T. 2009, Nature, 459, 957Google Scholar
Laskar, J., Boué, G., & Correia, A. C. M. 2012, Astron. Astrophys., 538, A105Google Scholar
Laskar, J. & Gastineau, M. 2009, Nature, 459, 817Google Scholar
Laskar, J., Gastineau, M., Delisle, J.-B., Farrés, A., & Fienga, A. 2011, Astron. Astrophys., 532, L4Google Scholar
Levison, H. F., Morbidelli, A., Tsiganis, K., Nesvorný, D., & Gomes, R. 2011, Astron. J., 142, 152Google Scholar
Lithwick, Y. & Wu, Y. 2012, Astrophys. J., 756, L11Google Scholar
Lovis, C., Ségransan, D., Mayor, M., et al. 2011, Astron. Astrophys., 528, A112Google Scholar
Lykawka, P. S. & Ito, T. 2013, Astrophys. J., 773, 65CrossRefGoogle Scholar
Mardling, R. A. 2007, Mon. Not. R. Astron. Soc., 382, 1768CrossRefGoogle Scholar
Morbidelli, A., Brasser, R., Tsiganis, K., Gomes, R., & Levison, H. F. 2009, Astron. Astrophys. 507, 1041CrossRefGoogle Scholar
Morbidelli, A., Tsiganis, K., Crida, A., Levison, H. F., & Gomes, R. 2007, Astron. J., 134, 1790Google Scholar
Mordasini, C., Mollière, P., Dittkrist, K.-M., Jin, S., & Alibert, Y. 2015, International Journal of Astrobiology, 14, 201Google Scholar
Nesvorný, D., Kipping, D. M., Buchhave, L. A., et al. 2012, Science, 336, 1133Google Scholar
Nesvorný, D. & Morbidelli, A. 2012, Astron. J., 144, 117Google Scholar
Nesvorný, D., Vokrouhlický, D., & Morbidelli, A. 2007, Astron. J., 133, 1962Google Scholar
Rivera, E. J., Lissauer, J. J., Butler, R. P., et al. 2005, Astrophys. J., 634, 625Google Scholar
Tsiganis, K., Gomes, R., Morbidelli, A., & Levison, H. F. 2005, Nature, 435, 459CrossRefGoogle Scholar
Walsh, K. J., Morbidelli, A., Raymond, S. N., O'Brien, D. P., & Mandell, A. M. 2012, Meteoritics and Planetary Science, 47, 1941Google Scholar
Auclair-Desrotour, P., Le Poncin-Lafitte, C., & Mathis, S. (2014). Astronomy & Astrophysics 561 L7.CrossRefGoogle Scholar
Castillo-Rogez, J.C., Efroimsky, M. and Lainey, V. 2011 J. Geophys.Res., 116, E9008Google Scholar
Correia, A. C. M., Boué, G., & Laskar, J. and Rodríguez, A. 2014, Astron. Astrophys. 571, A50.Google Scholar
Dobbs-Dixon, I., Lin, D. N. C., & Mardling, R. A. (2004). The Astrophysical Journal, 610 (1), 464.CrossRefGoogle Scholar
Efroimsky, M. & Lainey, V. 2007, J. Geophys. Res. 112, E12003Google Scholar
Efroimsky, M. & Williams, J. G. 2009, Cel. Mech. Dynam. Astron. 104, 257–289CrossRefGoogle Scholar
Efroimsky, M. 2012 Cel. Mech. Dynam. Astron. 112, 283–330CrossRefGoogle Scholar
Efroimsky, M. & Makarov, V. V. 2014. Astrophys. J. 795: 6.CrossRefGoogle Scholar
Efroimsky, M. (2015). Astronomical Journal, 150 (4), 98.Google Scholar
Ferraz-Mello, S., Rodríguez, A., & Hussmann, H. 2008, Celest. Mech. Dyn. Astr. 101, 171–201 and Errata: Celest. Mech. Dyn. Astr.: 104, 319–320 (2009).Google Scholar
Ferraz-Mello, S. 2013a, Celest. Mech. Dyn. Astr. 116, 109–140Google Scholar
Ferraz-Mello, S., Folonier, H., Tadeu dos Santos, M., Csizmadia, Sz., do Nascimento, J. D. & Pätzold, M. 2015, Astrophys. J. 807, A78Google Scholar
Ferraz-Mello, S. 2015 Astron. Astrophys. 579, A97Google Scholar
Ferraz-Mello, S. 2015, Celest. Mech. Dyn. Astr. 122, 359–389 (ArXiv: 1505.05384 astro-ph.EP)Google Scholar
Greenberg, R. 2009, Astron. J. 698, L42–L45Google Scholar
Guenel, M., Mathis, S., & Remus, F. (2014). Astronomy & Astrophysics 566 L9.Google Scholar
Jackson, B., Greenberg, R., & Barnes, R. (2008). Astrophysical Journal, 681 (2), 1631.Google Scholar
Jackson, B., Barnes, R., & Greenberg, R. (2009). The Astrophysical Journal, 698 (2), 1357.Google Scholar
Laskar, J. & Correia, A. C. M. 2004. In Extrasolar Planets: Today and Tomorrow, ASP Conference Series, 321, 401–410.Google Scholar
Makarov, V. V. 2012. Astrophys. J. 752: 73.Google Scholar
Makarov, V. V. & Berghea, C. 2014, Astrophys. J. 780: 124.Google Scholar
Makarov, V. V., Berghea, C. & Efroimsky, M. 2012 Astrophys. J. 761: 183Google Scholar
Makarov, V. V. & Efroimsky, M. 2013, Astrophys. J. 764: 27Google Scholar
Makarov, V. V. & Efroimsky, M. 2014, Astrophys. J. 795: 7Google Scholar
Mardling, R. A. (2007). MNRAS 382 (4), 1768–1790.Google Scholar
Mardling, R. A. & Lin, D. N. C. (2004). Astrophysical Journal, 614 (2), 955.Google Scholar
Meyer, J. & Wisdom, J. 2007, Icarus 188, 535–539.Google Scholar
Ogilvie, G. I. & Lin, D. N. C. 2004 Astrophys. J. 610, 477–509.Google Scholar
Ogilvie, G. I. (2009). MNRAS 396 (2), 794–806.Google Scholar
Ogilvie, G. I., Lin, D. N. C. 2007 Astrophys. J. 661, 1180–1191.Google Scholar
Remus, F., Mathis, S. & Zahn, J.-P. 2012 Astron. Astrophys 544, A.132.CrossRefGoogle Scholar
Remus, F., Mathis, S., Zahn, J. P., & Lainey, V. 2015. Astron. Astrophys. 573, A23.Google Scholar
Remus, F., Mathis, S., Zahn, J. P., & Lainey, V. (2012). Astronomy & Astrophysics 541 A165.Google Scholar
Rodríguez, A., Ferraz-Mello, S., Michtchenko, T. A., Beaugé, C., & Miloni, O. 2011 Mon. Not. R. Astron. Soc 415, 2349–2358.Google Scholar
Sotin, C., Tobie, G., Wahr, J., & McKinnon, W. B. (2009). In Europa. University of Arizona Press, Tucson.Google Scholar
Taylor, P. A. & Margot, J. L. (2010). Celestial Mechanics and Dynamical Astronomy, 108 (4), 315–338.Google Scholar
Williams, J. G. & Efroimsky, M. 2012, Cel. Mech. Dynam. Astron. 114, 387–414.CrossRefGoogle Scholar
Levi-Civita, T. 1920, “Sur la régularisation du problème des trois corps”, Acta Math. 42, 99.Google Scholar
Sundman, K. F. (1912) Acta Math. 36, 105.Google Scholar
Kustaanheimo, P. & Stiefel, E. 1965. Perturbation theory of Kepler motion based on spinor regularization. J. reine und angewandte Math. 218, 204.CrossRefGoogle Scholar
Mikkola, S. & Aarseth, S. J. 1993. An implementation of N-body chain regularization. Celestial Mechanics and Dynamical Astronomy 57, 439.Google Scholar
Mikkola, S. & Tanikawa, K. 1999. Algorithmic regularization of the few-body problem. Monthly Notices of the Royal Astronomical Society 310, 745.Google Scholar
Preto, M. & Tremaine, S. 1999. A Class of Symplectic Integrators with Adaptive Time Step for Separable Hamiltonian Systems. Astronomical Journal 118, 2532.CrossRefGoogle Scholar
Mikkola, S. & Aarseth, S. 2002. A Time-Transformed Leapfrog Scheme. Celestial Mechanics and Dynamical Astronomy 84, 343.Google Scholar
Mikkola, S. & Merritt, D. 2006. Algorithmic regularization with velocity-dependent forces. Monthly Notices of the Royal Astronomical Society 372, 219–223.CrossRefGoogle Scholar
Mikkola, S. & Merritt, D. 2008. Implementing Few-Body Algorithmic Regularization with Post-Newtonian Terms. The Astronomical Journal 135, 2398.Google Scholar
Hellström, C. & Mikkola, S. 2010. Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations. Celestial Mechanics and Dynamical Astronomy 106, 143.Google Scholar
Mikkola, S. & Tanikawa, K. 2013. Regularizing dynamical problems with the symplectic logarithmic Hamiltonian leapfrog. Monthly Notices of the Royal Astronomical Society 430, 2822.Google Scholar
Agnor, C. B. & Lin, D. N. 2012. ApJ, 745, 143.CrossRefGoogle Scholar
Brasser, R., Morbidelli, A., Gomes, R., Tsiganis, K., & Levison, H. F. 2009. A&A, 507, 1053.Google Scholar
Brasser, R., Walsh, K. J., & Nesvorný, D. 2013. MNRAS, 433, 3417.Google Scholar
Fernández, J. A. & Ip, W. H. 1984. Icarus, 58, 109.Google Scholar
Levison, H. F., Morbidelli, A., Tsiganis, K., Nesvorný, D., & Gomes, R. 2011. AJ, 142, 152.Google Scholar
Malhotra, R. 1993. Nature, 365, 819.CrossRefGoogle Scholar
Masset, F. & Snellgrove, M. 2001. MNRAS 320 L55.CrossRefGoogle Scholar
Morbidelli, A., Tsiganis, K., Crida, A., Levison, H. F. & Gomes, R. 2007. AJ, 134, 1790.Google Scholar
Morbidelli, A., Brasser, R., Tsiganis, K., Gomes, R., & Levison, H. F. 2009. A&A, 507, 1041.Google Scholar
Nesvorný, D. & Morbidelli, A. 2012. AJ, 144, 117.Google Scholar
Tsiganis, K., Gomes, R., Morbidelli, A., & Levison, H. F. 2005. Nature, 435, 459.Google Scholar
Batygin, K., Deck, K. M., & Holman, M. J. 2015, AJ, 149, 167Google Scholar
Migaszewski, C., Slonina, M., & Gozdziewski, K. 2012, MNRAS, 427, 770Google Scholar
Chambers, J. E., Wetherill, G. W., & Boss, A. P. 1996, Icarus, 119, 261Google Scholar
Deck, Katherine M., Payne, M., & Holman, M. J. 2013, ApJ, 774, 129Google Scholar
Duncan, M. J., & Lissauer, J. J. 1997, Icarus, 125, 1Google Scholar
Fabrycky, D. C., Lissauer, J. J., Ragozzine, D., et al. 2014, ApJ, 790, 146Google Scholar
French, R. S., & Showalter, M. R., 2012, Icarus, 220, 911Google Scholar
French, R. G., Dawson, R. I., & Showalter, M. R. 2015, AJ, 149, 142Google Scholar
Giuppone, C. A., Morais, M. H. M., & Correia, A. C. M. 2013, MNRAS, 436, 3547Google Scholar
Gladman, B. 1993, Icarus, 106, 247Google Scholar
Marchal, C., & Bozis, G. 1982, Celestial Mechanics, 26, 311Google Scholar
Mardling, R. 2008, from The Cambridge N-Body Lectures, edited by Aarseth, S. J, Tout, C. A., & Mardling, R. A, Lecture Notes in Physics, 760, (Springer: Berlin, Heidelberg) 2008, page 59–96, Resonance, Chaos and Stability: The Three-Body Problem in AstrophysicsGoogle Scholar
Quillen, A. C. 2011, MNRAS, 418, 1043Google Scholar
Quillen, A. C., & French, R. S. 2014, MNRAS, 445, 3959Google Scholar
Ramos, X. S., Correa-Otto, J. A., & Beaugé, C. 2015, CeMDA, in pressGoogle Scholar
Shevchenko, I. I., 2010, Phys. Rev. E, 81, 066216Google Scholar
Showalter, M. R., & Hamilton, D. P. 2015, Nature, 522, 45CrossRefGoogle Scholar
Wisdom, J., 1980, Astron. J., 85, 1122CrossRefGoogle Scholar
Carry, B. 2012. Planetary and Space Science, 73 (1): 98–118.Google Scholar
Fahnestock, E. G. & Scheeres, D. J. 2008. Icarus, 194: 410–435.Google Scholar
Fujiwara, A., et al. 2006. Science, 312 (5778): 1330–1334.Google Scholar
Holsapple, K. A. 2001. Icarus, 154 (2): 432–448.Google Scholar
Holsapple, K. A. 2010. Icarus, 205 (2): 430–442.Google Scholar
Jacobson, S. A. & Scheeres, D. J. 2011. Icarus, 214: 161–178.Google Scholar
Kinoshita, H. 1972. Publications of the Astronomical Society of Japan, 24: 423.Google Scholar
Maciejewski, A. J. 1995. Celestial Mechanics and Dynamical Astronomy, 63 (1): 1–28.Google Scholar
Pravec, P. & Harris, A. W. 2007. Icarus, 190 (1): 250–259.Google Scholar
Pravec, P., et al. 2010. Nature, 466 (7310): 1085–1088.Google Scholar
Richardson, D. C., et al. 2005. Icarus, 173 (2): 349–361.Google Scholar
Sánchez, P. & Scheeres, D. J. 2012. Icarus, 218: 876–894.Google Scholar
Scheeres, D. J. 2002. Celestial Mechanics and Dynamical Astronomy, 83 (1): 155–169.Google Scholar
Scheeres, D. J. 2006. Celestial Mechanics and Dynamical Astronomy, 94: 317–349.Google Scholar
Scheeres, D. J. 2007. Icarus, 189 (2): 370–385.Google Scholar
Scheeres, D. J. 2009a. Planetary and Space Science, 57 (2): 154–164.Google Scholar
Scheeres, D. J. 2009b. Celestial Mechanics and Dynamical Astronomy, 104 (1): 103–128.Google Scholar
Scheeres, D. J. 2012. Celestial Mechanics and Dynamical Astronomy, 113 (3): 291–320.Google Scholar
Scheeres, D. J. 2014. Proceedings of the International Astronomical Union, 9 (S310): 134–137.Google Scholar
Scheeres, D. J. 2015. Proceedings of the International Astronomical Union, (S318).Google Scholar
Scheeres, D. J. 2016. Mathematics for Industry: Recent Advances in Celestial and Space Mechanics, Springer-Verlag.Google Scholar
Walsh, K. J., et al. 2012. Icarus, 220 (2): 514–529.CrossRefGoogle Scholar
Wang, L. S., et al. 1990. Celestial Mechanics and Dynamical Astronomy, 50 (4): 349–386.Google Scholar
Tsiganis, K., Gomes, R., Morbidelli, A., & Levison, H. F. 2005. Nature 435, 459Google Scholar
Morbidelli, A., Levison, H. F., Tsiganis, K., & Gomes, R. 2005. Nature 435, 462Google Scholar
Gomes, R., Levison, H. F., Tsiganis, K., & Morbidelli, A. 2005. Nature 435, 466Google Scholar
Fernandez, J. A. & Ip, W.-H. 1984. Icarus 58, 109Google Scholar
Malhotra, R. 1995. AJ. 110, 420.Google Scholar
Masset, F. & Snellgrove, M. 2001. MNRAS. 320, L55Google Scholar
Nesvorný, D. & Vokrouhlický, D. 2009. AJ. 137, 5003Google Scholar
Nesvorný, D., Vokrouhlický, D., & Morbidelli, A. 2007. AJ. 133, 1962CrossRefGoogle Scholar
Levison, H. F., Morbidelli, A., Van Laerhoven, C., Gomes, R., & Tsiganis, K. 2008. Icarus 196, 258Google Scholar
Levison, H. F., Bottke, W. F., Gounelle, M., Morbidelli, A., Nesvorný, D., & Tsiganis, K. 2009. Nature 460, 364Google Scholar
Morbidelli, A., Tsiganis, K., Crida, A., Levison, H. F., & Gomes, R. 2007. AJ. 134, 1790Google Scholar
Levison, H. F., Morbidelli, A., Tsiganis, K., Nesvorný, D., & Gomes, R. 2011. AJ. 142, 152CrossRefGoogle Scholar
Morbidelli, A., Brasser, R., Gomes, R., Levison, H. F., & Tsiganis, K. 2010. AJ. 140, 1391Google Scholar
Brasser, R., Morbidelli, A., Gomes, R., Tsiganis, K., & Levison, H. F. 2009. A&A. 507, 1053Google Scholar
Morbidelli, A., Brasser, R., Tsiganis, K., Gomes, R., & Levison, H. F. 2009. A&A. 507, 1041Google Scholar
Nesvorný, D. 2011. ApJ. 742, L22Google Scholar
Walsh, K. J., Morbidelli, A., Raymond, S. N., O'Brien, D. P., & Mandell, A. M. 2011. Nature 475, 206Google Scholar