Open Access
Issue
A&A
Volume 665, September 2022
Article Number L1
Number of page(s) 20
Section Letters to the Editor
DOI https://doi.org/10.1051/0004-6361/202243445
Published online 05 September 2022
  1. Abramowitz, M., Stegun, I. A., & Romer, R. H. 1988, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables [Google Scholar]
  2. Alcott, L. J., Mills, B. J., & Poulton, S. W. 2019, Science, 366, 1333 [NASA ADS] [CrossRef] [Google Scholar]
  3. Amante, C., & Eakins, B. W. 2009, NOAA Technical Memorandum NESDIS NGDC-24 [Google Scholar]
  4. Anderson, D. L., & Minster, J. B. 1979, Geophys. J. Int., 58, 431 [NASA ADS] [CrossRef] [Google Scholar]
  5. Andrade, E. N. D. C. 1910, Proc. R. Soc. London. Ser. A, 84, 1 [CrossRef] [Google Scholar]
  6. Arbic, B. K., & Garrett, C. 2010, Cont. Shelf Res., 30, 564 [NASA ADS] [CrossRef] [Google Scholar]
  7. Arbic, B. K., Karsten, R. H., & Garrett, C. 2009, Atmos. Ocean, 47, 239 [CrossRef] [Google Scholar]
  8. Arfken, G. B., & Weber, H. J. 1999, Mathematical Methods for Physicists [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., Laskar, J., & Leconte, J. 2018, A&A, 615, A23 [EDP Sciences] [Google Scholar]
  11. Auclair-Desrotour, P., Leconte, J., Bolmont, E., & Mathis, S. 2019, A&A, 629, A132 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  12. Bagheri, A., Khan, A., Al-Attar, D., et al. 2019, J. Geophys. Res. Planets, 124, 2703 [NASA ADS] [CrossRef] [Google Scholar]
  13. Bell, T., Jr 1975, J. Geophys. Res., 80, 320 [NASA ADS] [CrossRef] [Google Scholar]
  14. Bolmont, E., Breton, S. N., Tobie, G., et al. 2020, A&A, 644, A165 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  15. Boué, G., & Laskar, J. 2006, Icarus, 185, 312 [Google Scholar]
  16. Boulila, S., Laskar, J., Haq, B. U., Galbrun, B., & Hara, N. 2018, Global Planet. Change, 165, 128 [CrossRef] [Google Scholar]
  17. Boyden, J. A., Müller, R. D., & Gurnis, M. 2011, Next-generation Plate-tectonic Reconstructions using GPlates (Cambridge University Press) [Google Scholar]
  18. Carter, G. S., Merrifield, M., Becker, J. M., et al. 2008, J. Phys. Oceanogr., 38, 2205 [NASA ADS] [CrossRef] [Google Scholar]
  19. Castelnau, O., Duval, P., Montagnat, M., & Brenner, R. 2008, J. Geophys. Res. (Solid Earth), 113, B11203 [NASA ADS] [CrossRef] [Google Scholar]
  20. Castillo-Rogez, J. C., Efroimsky, M., & Lainey, V. 2011, J. Geophys. Res. (Planets), 116, E09008 [CrossRef] [Google Scholar]
  21. Correia, A. C. M., & Laskar, J. 2010, in Exoplanets (Tucson, AZ: University of Arizona Press), 239 [Google Scholar]
  22. Correia, A. C., Boué, G., Laskar, J., & Rodríguez, A. 2014, A&A, 571, A50 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  23. Crease, J. 1966, Tables of the Integral (National Institute of Oceanography) [Google Scholar]
  24. Ćuk, M., Hamilton, D. P., Lock, S. J., & Stewart, S. T. 2016, Nature, 539, 402 [CrossRef] [Google Scholar]
  25. Ćuk, M., Hamilton, D. P., & Stewart, S. T. 2019, J. Geophys. Res. Planets, 124, 2917 [Google Scholar]
  26. Daher, H., Arbic, B. K., Williams, J. G., et al. 2021, J. Geophys. Res. Planets, 126, e2021JE006875 [CrossRef] [Google Scholar]
  27. Darwin, G. H. 1879, Philos. Trans. R. Soc. London Ser. I, 170, 447 [NASA ADS] [Google Scholar]
  28. de Azarevich, V. L. L., & Azarevich, M. B. 2017, Geo-Marine Lett., 37, 333 [NASA ADS] [CrossRef] [Google Scholar]
  29. Dhuime, B., Hawkesworth, C. J., Cawood, P. A., & Storey, C. D. 2012, Science, 335, 1334 [NASA ADS] [CrossRef] [Google Scholar]
  30. Dong, S.-H., & Lemus, R. 2002, Appl. Math. Lett., 15, 541 [CrossRef] [Google Scholar]
  31. Dziewonski, A. M., & Anderson, D. L. 1981, Phys. Earth Planet. Inter., 25, 297 [CrossRef] [Google Scholar]
  32. Efroimsky, M. 2012, ApJ, 746, 150 [Google Scholar]
  33. Efroimsky, M., & Williams, J. G. 2009, Celestial Mech. Dyn. Astron., 104, 257 [NASA ADS] [CrossRef] [Google Scholar]
  34. Eriksson, K. A., & Simpson, E. L. 2000, Geology, 28, 831 [NASA ADS] [CrossRef] [Google Scholar]
  35. Fang, J., Wu, H., Fang, Q., et al. 2020, Palaeogeogr. Palaeoclimatol. Palaeoecol., 540, 109530 [NASA ADS] [CrossRef] [Google Scholar]
  36. Farhat, M. A., & Touma, J. R. 2021, MNRAS, 507, 6078 [NASA ADS] [CrossRef] [Google Scholar]
  37. Farhat, M., Laskar, J., & Boué, G. 2022, J. Geophys. Res. Solid Earth, 127, e2021JB023 [CrossRef] [Google Scholar]
  38. Farrell, W. 1972, Rev. Geophys., 10, 761 [NASA ADS] [CrossRef] [Google Scholar]
  39. Fienga, A., Deram, P., Di Ruscio, A., et al. 2021, Notes Scientifiques et Techniques de l’Institut de Mécanique Céleste, 110 [Google Scholar]
  40. Findley, W. N., Lai, J. S., Onaran, K., & Christensen, R. M. 1977, J. Appl. Mech., 44, 364 [NASA ADS] [CrossRef] [Google Scholar]
  41. Fox-Kemper, B., Ferrari, R., & Pedlosky, J. 2003, J. Phys. Oceanogr., 33, 478 [NASA ADS] [CrossRef] [Google Scholar]
  42. Garrett, C., & Munk, W. 1971, Deep Sea Res. Oceanogr. Abstracts, 18, 493 [CrossRef] [Google Scholar]
  43. Gent, P. R., & McWilliams, J. C. 1983, Dyn. Atmos. Oceans, 7, 67 [CrossRef] [Google Scholar]
  44. Gerkema, T., & Zimmerman, J. 2008, in Lecture Notes (Texel: Royal NIOZ), 207 [Google Scholar]
  45. Gerstenkorn, H. 1967, Icarus, 7, 160 [NASA ADS] [CrossRef] [Google Scholar]
  46. Goldreich, P. 1966, Rev. Geophys., 4, 411 [NASA ADS] [CrossRef] [Google Scholar]
  47. Green, J., Huber, M., Waltham, D., Buzan, J., & Wells, M. 2017, Earth Planet. Sci. Lett., 461, 46 [CrossRef] [Google Scholar]
  48. Griffiths, S. D., & Peltier, W. R. 2009, J. Clim., 22, 2905 [NASA ADS] [CrossRef] [Google Scholar]
  49. Gurnis, M., Turner, M., Zahirovic, S., et al. 2012, Comput. Geosci., 38, 35 [NASA ADS] [CrossRef] [Google Scholar]
  50. Han, L., & Huang, R. X. 2020, J. Phys. Oceanogr., 50, 679 [NASA ADS] [CrossRef] [Google Scholar]
  51. Hansen, K. S. 1982, Rev. Geophys., 20, 457 [NASA ADS] [CrossRef] [Google Scholar]
  52. Hawkesworth, C., Cawood, P. A., & Dhuime, B. 2020, Front. Earth Sci., 8 [CrossRef] [Google Scholar]
  53. Hough, S. S. 1898, Philos.Trans. R. Soc. London Ser. A, 191, 139 [NASA ADS] [CrossRef] [Google Scholar]
  54. Huang, H., Gao, Y., Jones, M. M., et al. 2020, Palaeogeogr. Palaeoclimatol. Palaeoecol., 550, 109735 [NASA ADS] [CrossRef] [Google Scholar]
  55. Johnson, B. W., & Wing, B. A. 2020, Nat. Geosci., 13, 243 [NASA ADS] [CrossRef] [Google Scholar]
  56. Kaula, W. M. 2013, Theory of Satellite Geodesy: Applications of Satellites to Geodesy (Courier Corporation) [Google Scholar]
  57. Klatt, J. M., Chennu, A., Arbic, B. K., Biddanda, B., & Dick, G. J. 2021, Nat. Geosci., 14, 564 [NASA ADS] [CrossRef] [Google Scholar]
  58. Lantink, M., Davies, J., & Hilgen, F. 2021, Nat. Rev., 12, 369 [Google Scholar]
  59. Laskar, J. 2005, Celestial Mech. Dyn. Astron., 91, 351 [NASA ADS] [CrossRef] [Google Scholar]
  60. Laskar, J., Robutel, P., Joutel, F., et al. 2004, A&A, 428, 261 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  61. Lau, H. C., & Faul, U. H. 2019, Earth Planet. Sci. Lett., 508, 18 [CrossRef] [Google Scholar]
  62. Lau, H. C., Yang, H.-Y., Tromp, J., et al. 2015, Geophys. J. Int., 202, 1392 [NASA ADS] [CrossRef] [Google Scholar]
  63. Lau, H. C., Faul, U., Mitrovica, J. X., et al. 2016a, Geophys. J. Int., 208, 368 [Google Scholar]
  64. Lau, H. C., Mitrovica, J. X., Austermann, J., et al. 2016b, J. Geophys. Res. Solid Earth, 121, 6991 [NASA ADS] [CrossRef] [Google Scholar]
  65. Lee, U., & Saio, H. 1997, ApJ, 491, 839 [Google Scholar]
  66. Levrard, B., & Laskar, J. 2003, Geophys. J. Int., 154, 970 [NASA ADS] [CrossRef] [Google Scholar]
  67. Longuet-Higgins, M. S. 1968, Philos. Trans. R. Soc. London. Ser. A Math. Phys. Sci., 262, 511 [NASA ADS] [CrossRef] [Google Scholar]
  68. Longuet-Higgins, M. S., & Pond, G. S. 1970, Philos. Trans. R. Soc. London. Ser. A Math. Phys. Sci., 266, 193 [NASA ADS] [Google Scholar]
  69. MacDonald, G. 1967, Proc. R. Soc. London Ser. A. Math. Phys. Sci., 296, 298 [Google Scholar]
  70. Matsuyama, I. 2014, Icarus, 242, 11 [NASA ADS] [CrossRef] [Google Scholar]
  71. Matthews, K. J., Maloney, K. T., Zahirovic, S., et al. 2016, Global Planet. Change, 146, 226 [NASA ADS] [CrossRef] [Google Scholar]
  72. Maurice, M., Tosi, N., Schwinger, S., Breuer, D., & Kleine, T. 2020, Sci. Adv., 6, 28 [CrossRef] [Google Scholar]
  73. Mavromatis, H., & Alassar, R. 1999, Appl. Math. Lett., 12, 101 [CrossRef] [Google Scholar]
  74. Merdith, A. S., Williams, S. E., Collins, A. S., et al. 2021, Earth-Sci. Rev., 214, 103477 [NASA ADS] [CrossRef] [Google Scholar]
  75. Meyers, S. R., & Malinverno, A. 2018, Proc. Nat. Acad. Sci., 115, 6363 [NASA ADS] [CrossRef] [Google Scholar]
  76. Mignard, F. 1979, Moon Planets, 20, 301 [Google Scholar]
  77. Mojzsis, S. J., Arrhenius, G., McKeegan, K., et al. 1996, Nature, 384, 55 [NASA ADS] [CrossRef] [Google Scholar]
  78. Motoyama, M., Tsunakawa, H., & Takahashi, F. 2020, Icarus, 335, 113382 [NASA ADS] [CrossRef] [Google Scholar]
  79. Müller, M. 2008a, A Large Spectrum of Free Oscillations of the World Ocean Including the Full Ocean Loading and Self-attraction Effects (Springer Science& Business Media), 14 [Google Scholar]
  80. Müller, M. 2008b, Ocean Model., 20, 207 [CrossRef] [Google Scholar]
  81. Munk, W. H., & MacDonald, G. J. 1960, The Rotation of the Earth: A Geophysical Discussion (Cambridge University Press) [Google Scholar]
  82. Neron de Surgy, O., & Laskar, J. 1997, A&A, 318, 975 [NASA ADS] [Google Scholar]
  83. Ogilvie, G. I. 2014, ARA&A, 52, 171 [Google Scholar]
  84. Ooe, M. 1989, J. Phys. Earth, 37, 345 [CrossRef] [Google Scholar]
  85. Palmer, T., Shutts, G., & Swinbank, R. 1986, Q. J. R. Meteorol. Soc., 112, 1001 [NASA ADS] [CrossRef] [Google Scholar]
  86. Peck, W. H., Valley, J. W., Wilde, S. A., & Graham, C. M. 2001, Geochim. Cosmochim. Acta, 65, 4215 [NASA ADS] [CrossRef] [Google Scholar]
  87. Petit, G., & Luzum, B. 2010, IERS conventions (2010), Tech. rep. (France: Bureau International des Poids et mesures sevres) [Google Scholar]
  88. Platzman, G. W. 1983, Science, 220, 602 [NASA ADS] [CrossRef] [Google Scholar]
  89. Platzman, G. W. 1984, J. Phys. Oceanogr., 14, 1532 [NASA ADS] [CrossRef] [Google Scholar]
  90. Proudman, J. 1920a, Proc. London Math. Soc., 2, 1 [NASA ADS] [CrossRef] [Google Scholar]
  91. Proudman, J. 1920b, Proc. London Math. Soc., 2, 51 [NASA ADS] [CrossRef] [Google Scholar]
  92. Regge, T. 1958, Il Nuovo Cimento (1955–1965), 10, 544 [CrossRef] [Google Scholar]
  93. Renaud, J. P., & Henning, W. G. 2018, ApJ, 857, 98 [Google Scholar]
  94. Riley, K. F., Hobson, M. P., & Bence, S. J. 1999, Mathematical Methods for Physics and Engineering [Google Scholar]
  95. Ross, M., & Schubert, G. 1989, J. Geophys. Res. Solid Earth, 94, 9533 [NASA ADS] [CrossRef] [Google Scholar]
  96. Rufu, R., & Canup, R. M. 2020, J. Geophys. Res. Planets, 125, 8 [NASA ADS] [CrossRef] [Google Scholar]
  97. Sonett, C., & Chan, M. A. 1998, Geophys. Res. Lett., 25, 539 [NASA ADS] [CrossRef] [Google Scholar]
  98. Sørensen, A. L., Nielsen, A. T., Thibault, N., et al. 2020, Earth Planet. Sci. Lett., 548, 116475 [CrossRef] [Google Scholar]
  99. Strauss, W. A. 2007, in Partial Differential Equations: An introduction (John Wiley& Sons) [Google Scholar]
  100. Sun, C., Xu, W., Cawood, P. A., et al. 2019, Sci. Rep., 9, 1 [Google Scholar]
  101. Tobie, G., Mocquet, A., & Sotin, C. 2005, Icarus, 177, 534 [Google Scholar]
  102. Tobie, G., Grasset, O., Dumoulin, C., & Mocquet, A. 2019, A&A, 630, A70 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  103. Touma, J., & Wisdom, J. 1994, AJ, 108, 1943 [NASA ADS] [CrossRef] [Google Scholar]
  104. Touma, J., & Wisdom, J. 1998, AJ, 115, 1653 [NASA ADS] [CrossRef] [Google Scholar]
  105. Touma, J., & Wisdom, J. 2001, AJ, 122, 1030 [NASA ADS] [CrossRef] [Google Scholar]
  106. Tremaine, S., Touma, J., & Namouni, F. 2009, AJ, 137, 3706 [Google Scholar]
  107. Tyler, R. 2011, Icarus, 211, 770 [NASA ADS] [CrossRef] [Google Scholar]
  108. Tyler, R. H. 2021, Planet. Sci. J., 2, 70 [CrossRef] [Google Scholar]
  109. Vallis, G. K. 2017, Atmospheric and Oceanic Fluid Dynamics (Cambridge University Press) [CrossRef] [Google Scholar]
  110. Varshalovich, D. A., Moskalev, A. N., & Khersonskii, V. K. 1988, Quantum Theory of Angular Momentum (World Scientific) [CrossRef] [Google Scholar]
  111. Walker, J. C. G., & Zahnle, K. J. 1986, Nature, 320, 600 [NASA ADS] [CrossRef] [Google Scholar]
  112. Waltham, D. 2015, J. Sediment. Res., 85, 990 [NASA ADS] [CrossRef] [Google Scholar]
  113. Wang, H., Boyd, J. P., & Akmaev, R. A. 2016, Geosci. Model Dev., 9, 1477 [Google Scholar]
  114. Watterson, I. G. 2001, J. Atmos. Oceanic Technol., 18, 691 [NASA ADS] [CrossRef] [Google Scholar]
  115. Webb, D. 1973, in Deep Sea Research and Oceanographic Abstracts (Elsevier), 20, 847 [NASA ADS] [CrossRef] [Google Scholar]
  116. Webb, D. 1980, Geophys. J. Int., 61, 573 [NASA ADS] [CrossRef] [Google Scholar]
  117. Webb, D. 1982, Geophys. J. Int., 70, 261 [NASA ADS] [CrossRef] [Google Scholar]
  118. Wilde, S. A., Valley, J. W., Peck, W. H., & Graham, C. M. 2001, Nature, 409, 175 [NASA ADS] [CrossRef] [Google Scholar]
  119. Williams, G. E. 1990, J. Phys. Earth, 38, 475 [CrossRef] [Google Scholar]
  120. Williams, G. E. 1997, Geophys. Res. Lett., 24, 421 [NASA ADS] [CrossRef] [Google Scholar]
  121. Williams, G. E. 2000, Rev. Geophys., 38, 37 [NASA ADS] [CrossRef] [Google Scholar]
  122. Williams, J. G., & Boggs, D. H. 2016, Celestial Mech. Dyn. Astron., 126, 89 [NASA ADS] [CrossRef] [Google Scholar]
  123. Wood, R., Liu, A. G., Bowyer, F., et al. 2019, Nat. Ecol. Evol., 3, 528 [CrossRef] [Google Scholar]
  124. Zahel, W. 1980, Phys. Earth Planet. Inter., 21, 202 [CrossRef] [Google Scholar]
  125. Zahnle, K. J., Lupu, R., Dobrovolskis, A., & Sleep, N. H. 2015, Earth Planetary Sci. Lett., 427, 74 [NASA ADS] [CrossRef] [Google Scholar]
  126. Zhong, Y., Wu, H., Fan, J., et al. 2020, Palaeogeogr. Palaeoclimatol. Palaeoecol., 540, 109520 [NASA ADS] [CrossRef] [Google Scholar]

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