Open Access
Issue
A&A
Volume 651, July 2021
Article Number A3
Number of page(s) 26
Section Planets and planetary systems
DOI https://doi.org/10.1051/0004-6361/202040174
Published online 01 July 2021
  1. Abramowitz, M., & Stegun, I. A. 1972, Handbook of Mathematical Functions (New York: Dover) [Google Scholar]
  2. Alvan, L., Mathis, S., & Decressin, T. 2013, A&A, 553, A86 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  3. Amard, L., Palacios, A., Charbonnel, C., et al. 2016, A&A, 587, A105 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  4. Amard, L., Palacios, A., Charbonnel, C., et al. 2019, A&A, 631, A77 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  5. Asplund, M., Grevesse, N., Sauval, A. J., & Scott, P. 2009, ARA&A, 47, 481 [Google Scholar]
  6. Astoul, A., Park, J., Mathis, S., et al. 2021, A&A, 647, A144 [CrossRef] [EDP Sciences] [Google Scholar]
  7. Auclair-Desrotour, P., Mathis, S., & Le Poncin-Lafitte, C. 2015, A&A, 581, A118 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  8. Auclair-Desrotour, P., Laskar, J., & Mathis, S. 2017, A&A 603, A107 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  9. Augustson, K.C., & Mathis, S. 2019, ApJ, 874, 83 [Google Scholar]
  10. Alvan, L., Strugarek, A., Brun, A. S., Mathis, S., & Garcia, R. A. 2015, A&A, 581, A112 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  11. Barker, A. J. 2011 MNRAS, 414, 1365 [Google Scholar]
  12. Barker, A. J. 2020 MNRAS, 498, 2 [Google Scholar]
  13. Barker, A. J., & Ogilvie, G. 2010, MNRAS, 404, 1849 [Google Scholar]
  14. Beck, P. G., Mathis, S., Gallet, F., et al. 2018, MNRAS, 479, L123 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  15. Benbakoura, M., Réville, V., Brun, A. S., et al. 2019, A&A, 621, A124 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  16. Benomar, O., Takata, M., Shibahashi, H., et al. 2015, MNRAS, 452, 3 [Google Scholar]
  17. Bolmont, E., & Mathis, S. 2016, CeMDA, 126, 275 [Google Scholar]
  18. Bolmont, E., Gallet, F., Mathis, S., et al. 2017, A&A 604, A113 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  19. Brun, A. S., & Zahn, J.-P. 2006, A&A, 457, 665 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  20. Chandrasekhar, S. 1939, An Introduction of the Study of Stellar Structure (Chicago: University of Press) [Google Scholar]
  21. Charbonnel, C., Decressin, T., Amard, L., Palacios, A., & Talon, S. 2013, A&A, 554, A40, [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  22. Chernov, S. V., Papaloizou, J. C. B., & Ivanov, P. B. 2013, MNRAS, 434, 1079 [Google Scholar]
  23. Cowling, T. G. 1941, MNRAS, 101, 367 [NASA ADS] [Google Scholar]
  24. Cuntz, M., Saar, S. H., & Musielak, Z. E. 2000, ApJ, 533, L151 [Google Scholar]
  25. Damiani, C., & Mathis, M. 2018, A&A, 618, A90 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  26. Dintrans, B., Rieutord, M., & Valdettaro, L. 1999, JFM, 398, 271 [Google Scholar]
  27. Duguid, C. D., Barker, A. J., & Jones, C. A. 2020, MNRAS, 497, 3400 [Google Scholar]
  28. Essick, R., & Weinberg, N. N. 2016, ApJ, 816, 18 [Google Scholar]
  29. Fröman, F., & Fröman, P. O. 1965, JWKB Approximation: Contributions to the Theory (Amsterdam: North-Holland) [Google Scholar]
  30. Fuller J. 2017, MNRAS, 472, 1538 [Google Scholar]
  31. Fuller, J., Lecoanet, D., Cantiello, M., & Brown, B. 2014, ApJ, 796, 17 [Google Scholar]
  32. Gallet, F., & Bouvier, J. 2015, A&A, 577, A98 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  33. Gallet, F., Bolmont, E., Mathis, S., Charbonnel, C., & Amard, L. 2017, A&A, 604, A112 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  34. Goldreich, P. 1963, MNRAS, 126, 257 [NASA ADS] [Google Scholar]
  35. Goldreich, P., & Nicholson, P. D. 1989, ApJ, 342, 1079 [Google Scholar]
  36. Gonzalez, G. 1997, MNRAS, 285, 403 [Google Scholar]
  37. Goodman, J., & Dickson, E. S. 1998, ApJ, 507, 938 [Google Scholar]
  38. Gouhier, B., Lignières, F., & Jouve, L. 2021, A&A, 648, A109 [EDP Sciences] [Google Scholar]
  39. Guillot, T., Lin, D. N. C, Morel, P., et al. 2014, in EAS Pub. Ser., 65, 327 [Google Scholar]
  40. Hypolite, D., & Rieutord, M. 2014, A&A, 572, A15 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  41. Ivanov, P. B., Papaloizou, J. C. B., & Chernov, S. V. 2013, MNRAS, 432, 3, 2339 [Google Scholar]
  42. Kaula, W. M. 1964, Rev. Geophys., 2, 661 [Google Scholar]
  43. Kawaler, S. D. 1988, ApJ, 333, 236 [Google Scholar]
  44. Kippenhahn, R., & Weigert, A. 1994, Stellar Structure and Evolution (Berlin: Springer) [Google Scholar]
  45. Kushnir, D., Zaldarriaga, M., Kollmeier, J. A., & Waldman, R. 2017, MNRAS, 467, 2146 [Google Scholar]
  46. Lagarde, N., Decressin, T., Charbonnel, C., et al. 2012, A&A, 543, A108 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  47. Lai, D. 2012, MNRAS, 423, 486 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  48. Lebreton, Y., Goupil, M. J., & Montalbán, J., 2014, in EAS Pub. Ser., 65, The Ages of Stars, eds. Y. Lebreton, D. Valls-Gabaud, & C. Charbonnel [Google Scholar]
  49. Lecoanet, D., & Quataert, E. 2013, MNRAS, 430, 2363 [Google Scholar]
  50. Leconte, J., Chabrier, G., Baraffe, I., & Levrard, B. 2010, A&A 516, A64 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  51. MacDonald, G. J. F. 1964, Rev. Geophys., 2, 467 [Google Scholar]
  52. Mathis, S. 2009, A&A, 506, 811 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  53. Mathis, S. 2015, A&A, 580, L3 [EDP Sciences] [Google Scholar]
  54. Mathis, S. 2019, in EAS Pub. Ser., 82, Astro Fluid: An International Conference in Memory of Professor Jean-Paul Zahn’s Great Scientific Achievements, eds. A. S. Brun, S. Mathis, C. Charbonnel, & B. Dubrulle [Google Scholar]
  55. Mathis, S., & Alvan, L. 2013, in ASP Conf. Ser., 479, Progress in Physics of the Sun and Stars: A New Era in Helio- and Asteroseismology, 295, eds. H. Shibahashi, & A. E. Lynas-Gray [Google Scholar]
  56. Mathis, S., & de Brye, N. 2011, A&A, 526, A65 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  57. Mathis, S., & de Brye, N. 2012, A&A, 540, A37 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  58. Mathis, S., Talon, S., Pantillon, F. P., et al. 2008 J. Phys. Conf. Ser., 118, 1 [Google Scholar]
  59. Mathis, S., Auclair-Desrotour, P., Guenel, M., Gallet, F., & Le Poncin-Lafitte, C. 2016, A&A, 592, A33 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  60. Matt, S. P., Brun, A.-S., Baraffe, I., Bouvier, J., & Chabrier, G. 2015, ApJ, 799, L23 [Google Scholar]
  61. McQuillan, A., Mazeh, T., & Aigrain, S., 2013, ApJ, 775, L11 [Google Scholar]
  62. Morel, P., & Lebreton, Y. 2008, Ap&SS, 316, 61 [Google Scholar]
  63. Murray, C. D., & Dermott, S. F. 1999, Solar System Dynamics (Cambridge University Press) [Google Scholar]
  64. North, P., & Zahn, J.-P., 2003, A&A, 405, 677 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  65. Ogilvie, G. I. 2013, MNRAS, 429, 613 [Google Scholar]
  66. Ogilvie, G. I. 2014, ARAA, 52, 171 [Google Scholar]
  67. Ogilvie, G. I., & Lin, D. N. C., 2004, ApJ, 610, 477 [Google Scholar]
  68. Ogilvie, G. I., & Lin, D. N. C. 2007, MNRAS, 661, 1180 [Google Scholar]
  69. Pantillon, F. P., Talon, S., & Charbonnel, C. 2007, A&A, 474, 155 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  70. Papaloizou, J. C. B., & Savonije, G. J. 1985, MNRAS, 213, 85 [Google Scholar]
  71. Papaloizou, J. C. B., & Savonije, G. J. 1997, MNRAS, 291, 651 [Google Scholar]
  72. Prat, V., Mathis, S., Augustson, K., et al. 2018, A&A, 615, A106 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  73. Press, W. H. 1981, ApJ, 245, 286 [Google Scholar]
  74. Rauer, H., Catala, C., Aerts, C., et al. 2014, Exp. Astron., 38, 249 [Google Scholar]
  75. Remus, F., Mathis, S., & Zahn, J.-P. 2012, A&A, 544, 132 [Google Scholar]
  76. Rieutord, M., & Valdettaro, L. 1997, JFM, 341, 01 [Google Scholar]
  77. Rocca, A., 1987, A&A, 175, 81 [Google Scholar]
  78. Rocca, A., 1989, A&A, 213, 114 [NASA ADS] [Google Scholar]
  79. Rogers, T. M., Lin, D. N. C., McElwaine, J. N., & Lau, H. H. B. 2013, ApJ, 772, 21 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  80. Sadeghi Ardestani, L., Guillot, T., & Morel, P. 2017, MNRAS, 472, 2590 [Google Scholar]
  81. Santos, N. C., Israelian, G., Mayor, M., Rebolo, R., & Udry, S. 2003, A&A, 398, 363 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  82. Savonije, G. J., & Papaloizou, J. C. B. 1983, MNRAS, 203, 581 [Google Scholar]
  83. Savonije, G. J., & Papaloizou, J. C. B. 1984, MNRAS, 207, 685 [Google Scholar]
  84. Savonije, G. J., & Papaloizou, J. C. B. 1997, MNRAS, 291, 633 [Google Scholar]
  85. Savonije, G. J., Papaloizou, J. C. B., & Alberts, F. 1995, MNRAS, 277, 471 [Google Scholar]
  86. Schlaufman, K. C., & Winn, J. N., 2013, ApJ, 772, 143 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  87. Schneider, J., Dedieu, C., Le Sidaner, P., Savalle, R., & Zolotukhin, I. 2011, A&A, 532, A79 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  88. Skumanich, A. 1972, ApJ, 171, 565 [Google Scholar]
  89. Siess, L., Dufour, E., & Forestini, M. 2000, A&A, 358, 593 [Google Scholar]
  90. Spiegel, E. A.,& Veronis, G. 1960, ApJ, 131, 442 [Google Scholar]
  91. Stevenson, D. J. 1979, GApFD, 12, 139 [Google Scholar]
  92. Strugarek, A., Brun, A. S., Matt, S. P., & Réville, V., 2014, ApJ, 795, 86 [Google Scholar]
  93. Strugarek, A., Brun, A. S., Matt, S. P., & Réville, V. 2015, ApJ, 815, 111 [Google Scholar]
  94. Strugarek, A., Bolmont, E., Mathis, S., et al. 2017, ApJ, 847, 2 [Google Scholar]
  95. Terquem C., Papaloizou, J. C. B., Nelson, R. P., & Lin, D. N. C. 1998, ApJ, 502, 788 [Google Scholar]
  96. Valdettaro, L., Rieutord, M., Braconnier, T., & Fraysse, V. 2007, J. Comput. Appl. Math., 205, 382 [Google Scholar]
  97. Vick, M., & Lai, D. 2020, MNRAS, 496, 3 [Google Scholar]
  98. Weinberg, N. N., Sun, M., Arras, P., & Essick, R. 2017, ApJ, 849, L11 [Google Scholar]
  99. Witte, M.G., & Savonije, G. J. 2002, A&A, 386, 222 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  100. Zahn, J. P. 1970, A&A, 29, 489 [Google Scholar]
  101. Zahn, J. P. 1975, A&A, 4, 452 [Google Scholar]
  102. Zahn, J. P. 1975, A&A, 41, 329 [NASA ADS] [Google Scholar]
  103. Zahn, J.-P. 1977, A&A, 57, 383 [NASA ADS] [Google Scholar]
  104. Zahn, J.-P., Talon, S., & Matias, J. 1997, A&A, 322, 320 [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.