Abstract
We investigate the long-term dynamics of planetesimals in debris disks in models with the parameters of the binary star systems Kepler-16, Kepler-34, and Kepler-35 with planets. Our calculations show that the formation of a stable ring coorbital with the planet is possible for Kepler-16 and Kepler-35. In Kepler-34 significant orbital eccentricities of the binary system and the planet can prevent the formation of such a structure. The detection of circumbinary ring-like structures in observations of binary star systems can be evidence for the existence of planets retaining coorbital rings of dust and planetesimals.
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M. Alexandersen, B. Gladman, S. Greenstreet, J. J. Kavelaars, J.-M. Petit, and G. Stephenet, Science 341, 994 (2013).
J.-C. Augereau, in Extrasolar Planets: Today and Tomorrow, Ed. by J. Beaulieu, A. Lecavelier des Etangs, and C. Terquem, ASP Conf. Proc. 321, 305 (2004).
H. Beust, J.-C. Augereau, A. Bonsor, J. R. Graham, P. Kalas, J. Lebreton, A.-M. Lagrange, S. Ertel, et al., Astron. Astrophys. 561, A43 (2014).
E. Bowell, H. E. Holt, D. H. Levy, K. A. Innanen, S. Mikkola, and E. M. Shoemaker, Bull. Am. Astron. Soc. 22, 1357 (1990).
S. Chandrasekhar, Principles of Stellar Dynamics (Univ. Chicago Press, Chicago, 1942), p. 72.
E. I. Chiang, E. Kite, P. Kalas, J. R. Graham, and M. Clampin, Astrophys. J. 693, 734 (2009).
M. Connors, P. Wiegert, and C. Veillet, Nature 475, 481 (2011).
T. V. Demidova and I. I. Shevchenko, Astrophys. J. 805, 38 (2015).
T. V. Demidova and I. I. Shevchenko, Mon. Not. R. Astron. Soc. 463, L22 (2016).
S. F. Dermott, S. Jayaraman, Y. L. Xu, B. A. S. Gustafson, and J. C. Liou, Nature 369, 719 (1994).
L. R. Doyle, J. A. Carter, D. C. Fabrycky, R.W. Slawson, S. B. Howell, J. N. Winn, J. A. Orosz, A. Prša, W. F. Welsh, et al., Science 333, 1602 (2011).
R. Dvorak, Astron. Astrophys. 167, 379 (1986).
M. ElMoutamid, B. Sicardy, and S. Renner, Cel. Mech. Dyn. Astron. 118, 235 (2014).
D. Fedele, M. Carney, M. R. Hogerheijde, C. Walsh, A. Miotello, P. Klaassen, S. Bruderer, Th. Henning, et al., Astron. Astrophys. 600, A72 (2017).
J. S. Greaves, W. S. Holland, G. Moriarty-Schieven, T. Jenness, W. R. F. Dent, B. Zuckerman, C. M©Carthy, R. A. Webb, et al., Astrophys. J. 506, L133 (1998).
M. Hasegawa, K. Ohtsuki, K. Nakazawa, and Y. Nakagawa, Prog. Theor. Phys. Suppl. 96, 175 (1988).
M. J. Holman and P. A. Wiegert, Astrophys. J. 117, 621 (1999).
A. A. Jackson and H. A. Zook, Nature 337, 629 (1989).
J. E. Krist, K. R. Stapelfeldt, G. Bryden, and P. Plavchan, Astron. J. 144, 45 (2012).
S. Lines, Z. M. Leinhardt, S. Paardekooper, C. Baruteau, and P. Thébault, Astrophys. J. 782, L11 (2014).
S. Lines, Z. M. Leinhardt, C. Baruteau, S. Paardekooper, and P. J. Carter, Astron. Astrophys. 582, A5 (2015).
S. Lines, Z. M. Leinhardt, C. Baruteau, S. Paardekooper, and P. J. Carter, Astron. Astrophys. 590, A62 (2016).
M. A. MacGregor, D. J. Wilner, K. A. Rosenfeld, S. M. Andrews, B. Matthews, A. M. Hughes, M. Booth, E. Chiang, et al., Astrophys. J. 762, L21 (2013).
F. Marzari, P. Thébault, H. Scholl, G. Picogna, and C. Baruteau, Astron. Astrophys. 553, A71 (2013).
S. Meschiari, Astrophys. J. 752, 71 (2012a).
S. Meschiari, Astrophys. J. 761, L7 (2012b).
K. Moriwaki and Y. Nakagawa, Astrophys. J. 609, 1065 (2004).
M. Mugrauer, R. Neuhäuser, and T. Mazeh, Astron. Astrophys. 469, 755 (2007).
C. D. Murray and S. F. Dermott, Solar System Dynamics (Cambridge Univ. Press, Cambridge, 1999).
M. M. Mutter, A. Pierens, and R. P. Nelson, Mon. Not. R. Astron. Soc. 465, 4735 (2017a).
M. M. Mutter, A. Pierens, and R. P. Nelson, Mon. Not. R. Astron. Soc. 469, 4504 (2017b).
D. Nesvorny and L. Dones, Icarus 160, 271 (2002).
J. A. Orosz, W. F. Welsh, J. A. Carter, D. C. Fabrycky, W. D. Cochran, M. Endl, E. B. Ford, N. Haghighipour, et al., Science 337, 1511 (2012).
L. M. Ozernoy, N. N. Gorkavyi, J. C. Mather, and T. A. Taidakova, Astrophys. J. 537, L147 (2000).
S.-J. Paardekooper, Z.M. Leinhardt, P. Thébault, and C. Baruteau, Astrophys. J. 754, L16 (2012).
T. D. Pearce and M. C. Wyatt, Mon. Not. R. Astron. Soc. 443, 2541 (2014).
A. Pierens and R. P. Nelson, Astron. Astrophys. 472, 993 (2007).
A. Pierens and R. P. Nelson, Astron. Astrophys. 483, 633 (2008).
E. A. Popova and I. I. Shevchenko, Astrophys. J. 769, 152 (2013).
E. A. Popova and I. I. Shevchenko, Astron. Lett. 42, 474 (2016).
W. T. Reach, B. A. Franz, J. L. Weiland, M. G. Hauser, T.N. Kelsall, E. L. Wright, G. Rawleyt, S.W. Stemwedel, et al., Nature 374, 521 (1995).
L. Rodet, H. Beust, M. Bonnefoy, A.-M. Lagrange, P. A. B. Galli, C. Ducourant, and R. Teixeira, Astron. Astrophys. 602, A12 (2017).
S. S. Sheppard and C. A. Trujillo, Science 313, 511 (2006).
I. I. Shevchenko, Astrophys. J. 799, 8 (2015).
C. Thalmann, M. Janson, E. Buenzli, T. D. Brandt, and J. P. Wisniewski, Astrophys. J. 743, L6 (2011).
A. Toomre, Astrophys. J. 139, 1217 (1964).
M. Valtonen, A. Mylläri, V. Orlov, and A. Rubinov, Dynamical Evolution of Dense Stellar Systems, Proceedings of the IAU Symposium No. 246, Ed. by E. Vesperini, M. Giersz, and A. Sills (Cambridge Univ. Press, Cambridge, 2008), p. 209.
L. Verlet, Phys. Rev. 159, 98 (1967).
W. F. Welsh, J. A. Orosz, J. A. Carter, D. C. Fabrycky, E. B. Ford, J. J. Lissauer, A. Prša, S. N. Quinn, et al., Nature 481, 475 (2012).
M. C. Wyatt and W. R. F. Dent, Mon. Not. R. Astron. Soc. 334, 589 (2002).
J.-L. Zhou, J.-W. Xie, H.-G. Liu, H. Zhang, and Y.-S. Sun, Res. Astron. Astrophys. 12, 1081 (2012).
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Original Russian Text © T.V. Demidova, I.I. Shevchenko, 2018, published in Pis’ma v Astronomicheskii Zhurnal, 2018, Vol. 44, No. 2, pp. 140–147.
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Demidova, T.V., Shevchenko, I.I. Simulations of the Dynamics of the Debris Disks in the Systems Kepler-16, Kepler-34, and Kepler-35. Astron. Lett. 44, 119–125 (2018). https://doi.org/10.1134/S1063773718010012
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DOI: https://doi.org/10.1134/S1063773718010012