Open Access
Issue
A&A
Volume 694, February 2025
Article Number A53
Number of page(s) 25
Section Planets, planetary systems, and small bodies
DOI https://doi.org/10.1051/0004-6361/202453019
Published online 03 February 2025
  1. Abramowitz, M., & Stegun, I. A. 1972, Handbook of Mathematical Functions (New York: Dover) [Google Scholar]
  2. Alterman, Z., Jarosch, H., & Pekeris, C. L. 1959, Proc. Roy. Soc. London Ser. A, 252, 80 [NASA ADS] [CrossRef] [Google Scholar]
  3. Andrade, E. N. D. C. 1910, Proc. Roy. Soc. London Ser. A, 84, 1 [NASA ADS] [CrossRef] [Google Scholar]
  4. Arbic, B. K. 2022, Progr. Oceanogr., 206, 102824 [NASA ADS] [CrossRef] [Google Scholar]
  5. Arbic, B. K., & Garrett, C. 2010, Continental Shelf Res., 30, 564 [NASA ADS] [CrossRef] [Google Scholar]
  6. Arfken, G. B., & Weber, H. J. 2005, Mathematical Methods for Physicists, 6th ed. (Amsterdam; Boston: Elsevier) [Google Scholar]
  7. Astoul, A., & Barker, A. J. 2022, MNRAS, 516, 2913 [NASA ADS] [CrossRef] [Google Scholar]
  8. Astoul, A., & Barker, A. J. 2023, ApJ, 955, L23 [NASA ADS] [CrossRef] [Google Scholar]
  9. Auclair-Desrotour, P., Le Poncin-Lafitte, C., & Mathis, S. 2014, A&A, 561, L7 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  10. Auclair Desrotour, P., Mathis, S., & Le Poncin-Lafitte, C. 2015, A&A, 581, A118 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  11. Auclair-Desrotour, P., Mathis, S., Laskar, J., & Leconte, J. 2018, A&A, 615, A23 [EDP Sciences] [Google Scholar]
  12. Auclair-Desrotour, P., Leconte, J., Bolmont, E., & Mathis, S. 2019, A&A, 629, A132 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  13. Auclair-Desrotour, P., Farhat, M., Boué, G., Gastineau, M., & Laskar, J. 2023, A&A, 680, A13 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  14. Bartlett, B. C., & Stevenson, D. J. 2016, Geophys. Res. Lett., 43, 5716 [NASA ADS] [CrossRef] [Google Scholar]
  15. Baruteau, C., & Rieutord, M. 2013, J. Fluid Mech., 719, 47 [Google Scholar]
  16. Bell Jr, T. 1975, J. Geophys. Res., 80, 320 [NASA ADS] [CrossRef] [Google Scholar]
  17. Beuthe, M. 2016, Icarus, 280, 278 [CrossRef] [Google Scholar]
  18. Blackledge, B. W., Green, J. A. M., Barnes, R., & Way, M. J. 2020, Geophys. Res. Lett., 47, e85746 [NASA ADS] [CrossRef] [Google Scholar]
  19. Bolmont, E. 2018, Habitability in Brown Dwarf Systems, eds. H. J. Deeg, & J. A. Belmonte (Cham: Springer International Publishing), 1 [Google Scholar]
  20. Bolmont, E., Breton, S. N., Tobie, G., et al. 2020, A&A, 644, A165 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  21. Boué, G. 2017, Celest. Mech. Dyn. Astron., 128, 261 [CrossRef] [Google Scholar]
  22. Boué, G. & Efroimsky, M. 2019, Celest. Mech. Dyn. Astron., 131, 30 [CrossRef] [Google Scholar]
  23. Boué, G., Correia, A. C. M., & Laskar, J. 2016, Celest. Mech. Dyn. Astron., 126, 31 [CrossRef] [Google Scholar]
  24. Boyd, J. P. 1978, J. Atmos. Sci., 35, 2236 [NASA ADS] [CrossRef] [Google Scholar]
  25. Bretherton, F. P. 1969, Q. J. Roy. Meteorol. Soc., 95, 754 [NASA ADS] [CrossRef] [Google Scholar]
  26. Brian K. Arbic, R. H. K., & Garrett, C. 2009, Atmosphere-Ocean, 47, 239 [NASA ADS] [CrossRef] [Google Scholar]
  27. Cartwright, D. E. 1977, Rep. Progr. Phys., 40, 665 [CrossRef] [Google Scholar]
  28. Castelnau, O., Duval, P., Montagnat, M., & Brenner, R. 2008, J. Geophys. Res. (Solid Earth), 113, B11203 [NASA ADS] [CrossRef] [Google Scholar]
  29. Castillo-Rogez, J. C., Efroimsky, M., & Lainey, V. 2011, J. Geophys. Res. (Planets), 116, E09008 [CrossRef] [Google Scholar]
  30. Chen, E. M. A., Nimmo, F., & Glatzmaier, G. A. 2014, Icarus, 229, 11 [NASA ADS] [CrossRef] [Google Scholar]
  31. Correia, A. C. M., & Laskar, J. 2001, Nature, 411, 767 [Google Scholar]
  32. Correia, A. C. M., & Laskar, J. 2003, J. Geophys. Res. (Planets), 108, 5123 [NASA ADS] [CrossRef] [Google Scholar]
  33. Correia, A. C. M., & Valente, E. F. S. 2022, Celest. Mech. Dyn. Astron., 134, 24 [NASA ADS] [CrossRef] [Google Scholar]
  34. Daher, H., Arbic, B. K., Williams, J. G., et al. 2021, J. Geophys. Res. (Planets), 126, e06875 [NASA ADS] [Google Scholar]
  35. Efroimsky, M. 2012a, Celest. Mech. Dyn. Astron., 112, 283 [NASA ADS] [CrossRef] [Google Scholar]
  36. Efroimsky, M. 2012b, ApJ, 746, 150 [Google Scholar]
  37. Efroimsky, M., & Lainey, V. 2007, J. Geophys. Res. (Planets), 112, E12003 [NASA ADS] [CrossRef] [Google Scholar]
  38. Efroimsky, M., & Williams, J. G. 2009, Celest. Mech. Dyn. Astron., 104, 257 [NASA ADS] [CrossRef] [Google Scholar]
  39. Egbert, G. D., & Ray, R. D. 2000, Nature, 405, 775 [NASA ADS] [CrossRef] [Google Scholar]
  40. Egbert, G. D., & Ray, R. D. 2001, J. Geophys. Res., 106, 22 [Google Scholar]
  41. Egbert, G. D., & Ray, R. D. 2003, Geophys. Res. Lett., 30, 1907 [NASA ADS] [CrossRef] [Google Scholar]
  42. Egbert, G. D., Ray, R. D., & Bills, B. G. 2004, J. Geophys. Res. (Oceans), 109, C03003 [CrossRef] [Google Scholar]
  43. Farhat, M., Auclair-Desrotour, P., Boué, G., & Laskar, J. 2022a, A&A, 665, L1 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  44. Farhat, M., Laskar, J., & Boué, G. 2022b, J. Geophys. Res. (Solid Earth), 127, e2021JB023323 [NASA ADS] [CrossRef] [Google Scholar]
  45. Farhat, M., Auclair-Desrotour, P., Boué, G., Deitrick, R., & Laskar, J. 2024, A&A, 684, A49 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  46. Fienga, A., Deram, P., Di Ruscio, A., et al. 2021, Notes Scientifiques et Techniques de l’Institut de Mecanique Celeste, 110 [Google Scholar]
  47. Fuller, J., Guillot, T., Mathis, S., & Murray, C. 2024, Space Sci. Rev., 220, 22 [CrossRef] [Google Scholar]
  48. Garrett, C., & Kunze, E. 2007, Annu. Rev. Fluid Mech., 39, 57 [NASA ADS] [CrossRef] [Google Scholar]
  49. Garrett, C.J. R., & Munk, W. H. 1971, Deep Sea Res. A, 18, 493 [NASA ADS] [Google Scholar]
  50. Gastineau, M., & Laskar, J. 2011, ACM Commun. Comput. Algebra, 44, 194 [Google Scholar]
  51. Gerkema, T. 2019, An Introduction to Tides (Cambridge University Press) [CrossRef] [Google Scholar]
  52. Gerkema, T., Zimmerman, J. T. F., Maas, L. R. M., & van Haren, H. 2008, Rev. Geophys., 46, RG2004 [Google Scholar]
  53. Gimbutas, Z., & Greengard, L. 2009, J. Computat. Phys., 228, 5621 [NASA ADS] [CrossRef] [Google Scholar]
  54. Gold, T., & Soter, S. 1969, Icarus, 11, 356 [NASA ADS] [CrossRef] [Google Scholar]
  55. Goldreich, P., & Soter, S. 1966, Icarus, 5, 375 [Google Scholar]
  56. Green, J. A. M., Huber, M., Waltham, D., Buzan, J., & Wells, M. 2017, Earth Planet. Sci. Lett., 461, 46 [CrossRef] [Google Scholar]
  57. Guenel, M., Baruteau, C., Mathis, S., & Rieutord, M. 2016, A&A, 589, A22 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  58. Hay, H. C. F. C., & Matsuyama, I. 2019, Icarus, 319, 68 [NASA ADS] [CrossRef] [Google Scholar]
  59. Hendershott, M. C. 1972, Geophys. J., 29, 389 [NASA ADS] [CrossRef] [Google Scholar]
  60. Henning, W. G., O’Connell, R. J., & Sasselov, D. D. 2009, ApJ, 707, 1000 [Google Scholar]
  61. Hough, S. S. 1898, Roy. Soc. London Philos. Trans. Ser. A, 191, 139 [NASA ADS] [CrossRef] [Google Scholar]
  62. Huang, H., Ma, C., Laskar, J., et al. 2024, PNAS, 121, e2317051121 [NASA ADS] [CrossRef] [Google Scholar]
  63. Hughes, S. 1981, Celest. Mech., 25, 101 [NASA ADS] [CrossRef] [Google Scholar]
  64. Hut, P. 1980, A&A, 92, 167 [NASA ADS] [Google Scholar]
  65. Hut, P. 1981, A&A, 99, 126 [NASA ADS] [Google Scholar]
  66. Ingersoll, A. P., & Dobrovolskis, A. R. 1978, Nature, 275, 37 [CrossRef] [Google Scholar]
  67. Jayne, S. R., & St. Laurent, L. C. 2001, Geophys. Res. Lett., 28, 811 [NASA ADS] [CrossRef] [Google Scholar]
  68. Kamata, S., Matsuyama, I., & Nimmo, F. 2015, J. Geophys. Res. (Planets), 120, 1528 [NASA ADS] [CrossRef] [Google Scholar]
  69. Karato, S., & Spetzler, H. A. 1990, Rev. Geophys., 28, 399 [CrossRef] [Google Scholar]
  70. Kaula, W. M. 1964, Rev. Geophys. Space Phys., 2, 661 [Google Scholar]
  71. Laplace, P. S. 1798, Traité de mécanique céleste (Duprat J. B. M.) [Google Scholar]
  72. Laskar, J. 2005, Celest. Mech. Dyn. Astron., 91, 351 [NASA ADS] [CrossRef] [Google Scholar]
  73. Laskar, J., Farhat, M., Lantink, M. L., et al. 2024, Sedimentologika, 2, 1271 [NASA ADS] [CrossRef] [Google Scholar]
  74. Leconte, J., Wu, H., Menou, K., & Murray, N. 2015, Science, 347, 632 [NASA ADS] [CrossRef] [Google Scholar]
  75. Lee, U., & Saio, H. 1997, ApJ, 491, 839 [Google Scholar]
  76. Lindzen, R. S., & Blake, D. 1972, J. Geophys. Res., 77, 2166 [NASA ADS] [CrossRef] [Google Scholar]
  77. Lindzen, R. S., & Chapman, S. 1969, Space Sci. Rev., 10, 3 [NASA ADS] [CrossRef] [Google Scholar]
  78. Longuet-Higgins, M. S. 1968, Philos. Trans. Roy. Soc. London Ser. A, 262, 511 [NASA ADS] [CrossRef] [Google Scholar]
  79. Lyard, F. H., Allain, D. J., Cancet, M., Carrère, L., & Picot, N. 2021, Ocean Sci., 17, 615 [NASA ADS] [CrossRef] [Google Scholar]
  80. MacDonald, G. J. F. 1964, Rev. Geophys. Space Phys., 2, 467 [Google Scholar]
  81. Mathis, S., Le Poncin-Lafitte, C., & Remus, F. 2013, in Lecture Notes in Physics, Berlin Springer Verlag, 861, eds. J. Souchay, S. Mathis, & T. Tokieda, 255 [NASA ADS] [CrossRef] [Google Scholar]
  82. 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]
  83. Matsuyama, I. 2014, Icarus, 242, 11 [NASA ADS] [CrossRef] [Google Scholar]
  84. Matsuyama, I., Beuthe, M., Hay, H. C. F. C., Nimmo, F., & Kamata, S. 2018, Icarus, 312, 208 [NASA ADS] [CrossRef] [Google Scholar]
  85. Mitchell, R. N., & Kirscher, U. 2023, Nat. Geosci., 16, 567 [NASA ADS] [CrossRef] [Google Scholar]
  86. Motoyama, M., Tsunakawa, H., & Takahashi, F. 2020, Icarus, 335, 113382 [NASA ADS] [CrossRef] [Google Scholar]
  87. Munk, W. H., & MacDonald, G. J. F. 1960, The rotation of the earth; a geophysical discussion (New York: Cambridge University Press) [Google Scholar]
  88. Ogilvie, G. I. 2009, MNRAS, 396, 794 [Google Scholar]
  89. Ogilvie, G. I. 2013, MNRAS, 429, 613 [Google Scholar]
  90. Ogilvie, G. I. 2014, ARA&A, 52, 171 [Google Scholar]
  91. Ogilvie, G. I., & Lin, D. N. C. 2004, ApJ, 610, 477 [Google Scholar]
  92. Ogilvie, G. I., & Lin, D. N. C. 2007, ApJ, 661, 1180 [Google Scholar]
  93. Ortland, D. A. 2005a, J. Atmos. Sci., 62, 2684 [NASA ADS] [CrossRef] [Google Scholar]
  94. Ortland, D. A. 2005b, J. Atmos. Sci., 62, 2674 [NASA ADS] [CrossRef] [Google Scholar]
  95. Peale, S. J. 2003, Celest. Mech. Dyn. Astron., 87, 129 [CrossRef] [Google Scholar]
  96. Peale, S. J., Cassen, P., & Reynolds, R. T. 1979, Science, 203, 892 [Google Scholar]
  97. Peltier, W. R. 1974, Rev. Geophys. Space Phys., 12, 649 [CrossRef] [Google Scholar]
  98. Ray, R. D. 1998, Mar. Geodesy, 21, 181 [NASA ADS] [CrossRef] [Google Scholar]
  99. Ray, R. D., Eanes, R. J., Egbert, G. D., & Pavlis, N. K. 2001, Geophys. Res. Lett., 28, 21 [NASA ADS] [CrossRef] [Google Scholar]
  100. Rekier, J., Trinh, A., Triana, S. A., & Dehant, V. 2019, J. Geophys. Res. (Planets), 124, 2198 [NASA ADS] [CrossRef] [Google Scholar]
  101. Rieutord, M. 2015, Fluid Dynamics: An Introduction (Springer) [Google Scholar]
  102. Rovira-Navarro, M., Matsuyama, I., & Hay, H. C. F. C. 2023, Planetary Science Journal, 4, 23 [CrossRef] [Google Scholar]
  103. Rubincam, D. P. 2016, Icarus, 266, 24 [NASA ADS] [CrossRef] [Google Scholar]
  104. Savonije, G. J., & Witte, M. G. 2002, A&A, 386, 211 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  105. Sotin, C., Grasset, O., & Mocquet, A. 2007, Icarus, 191, 337 [Google Scholar]
  106. Takeuchi, H., & Saito, M. 1972, Methods Computat. Phys., 11, 217 [Google Scholar]
  107. Tiesinga, E., Mohr, P. J., Newell, D. B., & Taylor, B. N. 2021, J. Phys. Chem. Ref. Data, 50, 033105 [NASA ADS] [CrossRef] [Google Scholar]
  108. Tobie, G., Mocquet, A., & Sotin, C. 2005, Icarus, 177, 534 [Google Scholar]
  109. Tremaine, S., Touma, J., & Namouni, F. 2009, AJ, 137, 3706 [Google Scholar]
  110. Tyler, R. H. 2008, Nature, 456, 770 [NASA ADS] [CrossRef] [Google Scholar]
  111. Tyler, R. H. 2009, Geophys. Res. Lett., 36, L15205 [Google Scholar]
  112. Tyler, R. 2011, Icarus, 211, 770 [NASA ADS] [CrossRef] [Google Scholar]
  113. Tyler, R. 2014, Icarus, 243, 358 [NASA ADS] [CrossRef] [Google Scholar]
  114. Tyler, R. H. 2020, Icarus, 348, 113821 [NASA ADS] [CrossRef] [Google Scholar]
  115. Tyler, R. H. 2021, Planetary Science Journal, 2, 70 [CrossRef] [Google Scholar]
  116. Valente, E. F. S., & Correia, A. C. M. 2022, A&A, 665, A130 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  117. Vallis, G. K. 2006, Atmospheric and Oceanic Fluid Dynamics (Cambridge University Press), 770 [Google Scholar]
  118. Varshalovich, D. A., Moskalev, A. N., & Khersonskii, V. K. 1988, Quantum Theory of Angular Momentum (World Scientific Publishing Company) [CrossRef] [Google Scholar]
  119. Wang, H., Boyd, J. P., & Akmaev, R. A. 2016, Geosci. Model Dev., 9, 1477 [Google Scholar]
  120. Webb, D. J. 1980, Geophys. J., 61, 573 [NASA ADS] [CrossRef] [Google Scholar]
  121. Wilmes, S. B., Pedersen, V. K., Schindelegger, M., & Green, J. A. M. 2023, Paleoceanogr. Paleoclimatol., 38, e2023PA004727 [NASA ADS] [CrossRef] [Google Scholar]
  122. Wu, H., Murray, N., Menou, K., Lee, C., & Leconte, J. 2023, Sci. Adv., 9, eadd2499 [NASA ADS] [CrossRef] [Google Scholar]
  123. Wu, Y., Malinverno, A., Meyers, S. R., & Hinnov, L. A. 2024, Sci. Adv., 10, eado2412 [NASA ADS] [CrossRef] [Google Scholar]
  124. Zahn, J. P. 1966, Ann. Astrophys., 29, 313 [NASA ADS] [Google Scholar]
  125. Zahn, J.-P. 1975, A&A, 41, 329 [Google Scholar]
  126. Zahnle, K., & Walker, J. C. G. 1987, Precamb. Res., 37, 95 [NASA ADS] [CrossRef] [Google Scholar]
  127. Zhou, M., Wu, H., Hinnov, L. A., et al. 2024, Sci. Adv., 10, eadn7674 [NASA ADS] [CrossRef] [Google Scholar]

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