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Internal waves and tides in star-planet systems

Published online by Cambridge University Press:  27 September 2013

S. Mathis
Affiliation:
Laboratoire AIM Paris-Saclay, CEA/DSM/IRFU/SAp – CNRS – Université Paris Diderot, Centre de Saclay, 91191 Gif-sur-Yvette Cedex, France
L. Alvan
Affiliation:
Laboratoire AIM Paris-Saclay, CEA/DSM/IRFU/SAp – CNRS – Université Paris Diderot, Centre de Saclay, 91191 Gif-sur-Yvette Cedex, France
F. Remus
Affiliation:
Laboratoire AIM Paris-Saclay, CEA/DSM/IRFU/SAp – CNRS – Université Paris Diderot, Centre de Saclay, 91191 Gif-sur-Yvette Cedex, France LUTH, Observatoire de Paris, CNRS, Université Paris Diderot, 5 place Jules Janssen, 92190 Meudon, France IMCCE, Observatoire de Paris, UMR 8028 CNRS, UPMC, USTL, 77 avenue Denfert-Rochereau, 75014 Paris, France
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Abstract

Internal waves and tidal interactions constitute powerful mechanisms for angular momentum exchanges in star-planet systems. In this lecture, we review the state of the art of their modelling and we discuss their impact on the evolution of stellar systems. In this context, we first show how internal waves are able to deeply modify the secular transport of angular momentum in stellar interiors in the whole Hertzsprung-Russelll diagram. Then, we show how tidal waves, as well as the related exchanges of angular momentum, strongly depend on the internal structure of stars and planets.

Type
Research Article
Copyright
© EAS, EDP Sciences, 2013

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References

Aerts, C., Christensen-Dalsgaard, J., & Kurtz, D.W., 2010, Asteroseismology
Alvan, L., Brun, A.S., & Mathis, S., 2012, in SF2A-2012: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics, ed. Boissier, S., de Laverny, P., Nardetto, N., Samadi, R., Valls-Gabaud, D. & Wozniak, H., 289
Alvan, L., & Mathis, S., 2011, in SF2A-2011: Proceedings of the Annual Meeting of the French Society of Astronomy and Astrophysics, ed. Alecian, G., Belkacem, K., Samadi, R. & Valls-Gabaud, D., 443
Alvan, L., Mathis, S., & Decressin, T., 2013, A&A, 553, A86
Ansong, J.K., & Sutherland, B.R., 2010, J. Fluid Mech., 648, 405CrossRef
Ballot, J., Lignières, F., Reese, D.R., & Rieutord, M., 2010, A&A, 518, A30
Baraffe, I., 2005, Space Sci. Rev., 116, 67CrossRef
Barker, A.J., 2011, MNRAS, 414, 1365CrossRef
Barker, A.J., & Ogilvie, G.I., 2010, MNRAS, 404, 1849
Barker, A.J., & Ogilvie, G.I., 2011, MNRAS, 417, 745CrossRef
Baruteau, C., & Rieutord, M., 2013, J. Fluid Mech., 719, 47CrossRef
Beck, P.G., Bedding, T.R., Mosser, B., et al., 2011, Science, 332, 205CrossRef
Beck, P.G., Montalban, J., Kallinger, T., et al., 2012, Nature, 481, 55CrossRef
Bedding, T.R., Mosser, B., Huber, D., et al., 2011, Nature, 471, 608CrossRef
Belkacem, K., Samadi, R., Goupil, M.J., et al., 2009, A&A, 494, 191
Biot, M.A., 1954, J. Appl. Phys., 25, 1385CrossRef
Booker, J.R., & Bretherton, F.P., 1967, J. Fluid Mech., 27, 513CrossRef
Bouvier, J., 2008, A&A, 489, L53
Braithwaite, J., 2008, MNRAS, 386, 1947CrossRef
Braithwaite, J., 2009, MNRAS, 397, 763CrossRef
Braithwaite, J., & Nordlund, Å ., 2006, A&A, 450, 1077
Braithwaite, J., & Spruit, H.C., 2004, Nature, 431, 819CrossRef
Brown, G.L., & Sutherland, B.R., 2007, Atmosphere-Ocean, 45, 47CrossRef
Browning, M.K., Brun, A.S., & Toomre, J., 2004, ApJ, 601, 512CrossRef
Browning, M.K., Miesch, M.S., Brun, A.S., & Toomre, J., 2006, ApJ, 648, L157CrossRef
Brun, A.S., 2011, EAS Publications Series, ed. Wozniak, H. & Hensler, G., 44, 81Google Scholar
Brun, A.S., Miesch, M.S., & Toomre, J., 2004, ApJ, 614, 1073CrossRef
Brun, A.S., Miesch, M.S., & Toomre, J., 2011, ApJ, 742, 79CrossRef
Brun, A.S., & Toomre, J., 2002, ApJ, 570, 865CrossRef
Brun, A.S., & Zahn, J.-P., 2006, A&A, 457, 665
Bryan, G.H., 1889, R. Soc. London Philos. Trans. Ser. A, 180, 187CrossRef
Cébron, D., Le Bars, M., Leontini, J., Maubert, P., & Le Gal, P., 2010a, Physics of the Earth Planetary Interiors, 182, 119CrossRef
Cébron, D., Maubert, P., & Le Bars, M., 2010b, Geophys. J. Int., 182, 1311CrossRef
Cébron, D., Moutou, C., Le Bars, M., Le Gal, P., & Farès, R., 2011, in European Physical Journal Web of Conferences, 11, 3003CrossRef
Ceillier, T., Eggenberger, P., García, R.A., & Mathis, S., 2012, Astron. Nachr., 333, 971CrossRef
Charbonnel, C., Decressin, T., Amard, L., Palacios, A., & Talon, S., 2013, A&A, 554, A40
Charbonnel, C., & Talon, S., 2005, Science, 309, 2189CrossRef
Charnoz, S., Crida, A., Castillo-Rogez, J.C., et al., 2011, Icarus, 216, 535CrossRef
Correia, A.C.M., & Laskar, J., 2003a, J. Geophys. Res. Planets, 108, 5123CrossRef
Correia, A.C.M., & Laskar, J., 2003b, Icarus, 163, 24CrossRef
Correia, A.C.M., Laskar, J., & de Surgy, O.N., 2003, Icarus, 163, 1CrossRef
Correia, A.C.M., Levrard, B., & Laskar, J., 2008, A&A, 488, L63
Decressin, T., Mathis, S., Palacios, A., et al., 2009, A&A, 495, 271
Deheuvels, S., García, R.A., Chaplin, W.J., et al., 2012, ApJ, 756, 19CrossRef
Dermott, S.F., 1979, Icarus, 37, 310CrossRef
Dintrans, B., Brandenburg, A., Nordlund, Å ., & Stein, R.F., 2005, A&A, 438, 365
Dintrans, B., & Rieutord, M., 2000, A&A, 354, 86
Drazin, P.G., & Reid, W.H., 2004, Hydrodynamic Stability
Duez, V., Braithwaite, J., & Mathis, S., 2010, ApJ, 724, L34CrossRef
Duez, V., & Mathis, S., 2010, A&A, 517, A58+
Efroimsky, M., 2012, ApJ, 746, 150CrossRef
Efroimsky, M., & Lainey, V., 2007, J. Geophys. Res. Planets, 112, 12003CrossRef
Eggenberger, P., Montalbán, J., & Miglio, A., 2012, A&A, 544, L4
Eggleton, P.P., Kiseleva, L.G., & Hut, P., 1998, ApJ, 499, 853CrossRef
Fortney, J.J., & Nettelmann, N., 2010, Space Sci. Rev., 152, 423CrossRef
Garaud, P., & Garaud, J.-D., 2008, MNRAS, 391, 1239CrossRef
García, R.A., Salabert, D., Ballot, J., et al., 2011, J. Phys. Conf. Ser., 271, 012046CrossRef
Garcia, R.A., Turck-Chièze, S., Jiménez-Reyes, S.J., et al., 2007, Science, 316, 1591CrossRef
Garcia Lopez, R.J., & Spruit, H.C., 1991, ApJ, 377, 268CrossRef
Gastine, T., & Dintrans, B., 2008a, A&A, 484, 29
Gastine, T., & Dintrans, B., 2008b, A&A, 490, 743
Gavrilov, S.V., & Zharkov, V.N., 1977, Icarus, 32, 443CrossRef
Goldreich, P., & Keeley, D.A., 1977, ApJ, 211, 934CrossRef
Goldreich, P., & Kumar, P., 1990, ApJ, 363, 694CrossRef
Goldreich, P., & Nicholson, P.D., 1989a, ApJ, 342, 1079
Goldreich, P., & Nicholson, P.D., 1989b, ApJ, 342, 1075CrossRef
Goldreich, P., & Nicholson, P.D., 1989c, ApJ, 342, 1075CrossRef
Goldreich, P., & Soter, S., 1966, Icarus, 5, 375CrossRef
Goodman, J., & Lackner, C., 2009, ApJ, 696, 2054CrossRef
Gough, D.O., & McIntyre, M.E., 1998, Nature, 394, 755CrossRef
Guillot, T., 1999, Planet. Space Sci., 47, 1183CrossRef
Guillot, T., 2005, Annu. Rev. Earth and Planetary Sciences, 33, 493CrossRef
Guimbard, D., Le Dizès, S., Le Bars, M., Le Gal, P., & Leblanc, S., 2010, J. Fluid Mech., 660, 240CrossRef
Henning, W.G., O'Connell, R.J., & Sasselov, D.D., 2009, ApJ, 707, 1000CrossRef
Herreman, W., Le Bars, M., & Le Gal, P., 2009, Phys. Fluids, 21, 046602CrossRef
Huat, A.-L., Hubert, A.-M., Baudin, F., et al., 2009, A&A, 506, 95
Hubbard, W.B., Dougherty, M.K., Gautier, D., & Jacobson, R., 2009, The Interior of Saturn, ed. Dougherty, M.K., Esposito, L.W. & Krimigis, S.M., 75Google Scholar
Hurlburt, N.E., Toomre, J., & Massaguer, J.M., 1986, ApJ, 311, 563CrossRef
Hut, P., 1980, A&A, 92, 167PubMed
Ivanov, P.B., & Papaloizou, J.C.B., 2004, MNRAS, 353, 1161CrossRef
Ivanov, P.B., & Papaloizou, J.C.B., 2010, MNRAS, 407, 1609CrossRef
Kawaler, S.D., 1988, ApJ, 333, 236CrossRef
Kerswell, R.R., 2002, Annu. Rev. Fluid Mech., 34, 83CrossRef
Kim, E.-J., & MacGregor, K.B., 2003, ApJ, 588, 645CrossRef
Kippenhahn, R., & Weigert, A., 1990, Stellar Structure and Evolution
Kiraga, M., Jahn, K., Stȩpień, K., & Zahn, J.-P., 2003, Acta Astronomica, 53, 321
Kiraga, M., Stepien, K., & Jahn, K., 2005, Acta Astronomica, 55, 205
Lacaze, L., Herreman, W., Le Bars, M., Le Dizès, S., & Le Gal, P., 2006, Geophysical and Astrophysical Fluid Dynamics, 100, 299CrossRef
Lacaze, L., Le Gal, P., & Le Dizès, S., 2004, J. Fluid Mech., 505, 1CrossRef
Lacaze, L., Le Gal, P., & Le Dizès, S., 2005, Physics of the Earth and Planetary Interiors, 151, 194CrossRef
Lainey, V., Arlot, J.-E., Karatekin, Ö ., & van Hoolst, T., 2009, Nature, 459, 957CrossRef
Lainey, V., Karatekin, Ö ., Desmars, J., et al., 2012, ApJ, 752, 14CrossRef
Lavorel, G., & Le Bars, M., 2010, Phys. Fluids, 22, 114101CrossRef
Le Bars, M., Lacaze, L., Le Dizès, S., Le Gal, P., & Rieutord, M., 2010, Physics of the Earth and Planetary Interiors, 178, 48CrossRef
Le Bars, M., & Le Dizès, S., 2006, J. Fluid Mech., 563, 189CrossRef
Le Bars, M., Le Dizès, S., & Le Gal, P., 2007, J. Fluid Mech., 585, 323CrossRef
Lecoanet, D., & Quataert, E., 2013, MNRAS, 430, 2363CrossRef
Leconte, J., Chabrier, G., Baraffe, I., & Levrard, B., 2010, A&A, 516, A64
Lee, U., 2012, MNRAS, 420, 2387CrossRef
Lee, U., 2013 [ArXiv e-prints]
Lee, U., & Baraffe, I., 1995, A&A, 301, 419PubMed
Lee, U., & Saio, H., 1993, MNRAS, 261, 415CrossRef
Lee, U., & Saio, H., 1997, ApJ, 491, 839CrossRef
Lindzen, R.S., & Barker, J.W., 1985, J. Fluid Mech., 151, 189CrossRef
Love, A.E.H., 1911, Some Problems of Geodynamics
Maeder, A., 2003, A&A, 399, 263
Maeder, A., 2009, Physics, Formation and Evolution of Rotating Stars
Maeder, A., & Zahn, J.-P., 1998, A&A, 334, 1000
Marques, J.P., Goupil, M.J., Lebreton, Y., et al., 2013, A&A, 549, A74
Mathis, S., 2009, A&A, 506, 811
Mathis, S., & de Brye, N., 2011a, A&A, 526, A65+
Mathis, S., & de Brye, N., 2011b, A&A, 526, A65
Mathis, S., & de Brye, N., 2012, A&A, 540, A37
Mathis, S., Duez, V., & Braithwaite, J., 2011, IAU Symposium, ed. Brummell, N.H., Brun, A.S., Miesch, M.S. & Ponty, Y., 271, 278Google Scholar
Mathis, S., Palacios, A., & Zahn, J.-P., 2004, A&A, 425, 243
Mathis, S., Talon, S., Pantillon, F.-P., & Zahn, J.-P., 2008, Sol. Phys., 251, 101CrossRef
Mathis, S., & Zahn, J.-P., 2004, A&A, 425, 229
Mathis, S., & Zahn, J.-P., 2005, A&A, 440, 653PubMed
Matt, S., & Pudritz, R.E., 2005, ApJ, 632, L135CrossRef
Matt, S.P., MacGregor, K.B., Pinsonneault, M.H., & Greene, T.P., 2012, ApJ, 754, L26CrossRef
Mestel, L., 1965, in IAU Symposium, Stellar and Solar Magnetic Fields, ed. Lust, R., 22, 420Google Scholar
Mestel, L., Tayler, R.J., & Moss, D.L., 1988, MNRAS, 231, 873CrossRef
Mestel, L., & Weiss, N.O., 1987, MNRAS, 226, 123CrossRef
Mocák, M., Meakin, C.A., Müller, E., & Siess, L., 2011, ApJ, 743, 55CrossRef
Montalban, J., & Schatzman, E., 1996, A&A, 305, 513
Moss, D., 1992, MNRAS, 257, 593CrossRef
Mosser, B., Goupil, M.J., Belkacem, K., et al., 2012, A&A, 548, A10
Nault, J.T., & Sutherland, B.R ., 2007, Phys. Fluids, 19, 016601CrossRef
Neiner, C., Floquet, M., Samadi, R., et al., 2012, A&A, 546, A47
Neron de Surgy, O., & Laskar, J., 1997, A&A, 318, 975
Ogilvie, G.I., 2005, J. Fluid Mech., 543, 19CrossRef
Ogilvie, G.I., 2009, MNRAS, 396, 794CrossRef
Ogilvie, G.I., 2013, MNRAS, 429, 613CrossRef
Ogilvie, G.I., & Lesur, G., 2012, MNRAS, 422, 1975CrossRef
Ogilvie, G.I., & Lin, D.N.C., 2004, ApJ, 610, 477CrossRef
Ogilvie, G.I., & Lin, D.N.C., 2007, ApJ, 661, 1180CrossRef
Palacios, A., Charbonnel, C., Talon, S., & Siess, L., 2006, A&A, 453, 261
Pantillon, F.P., Talon, S., & Charbonnel, C., 2007, A&A, 474, 155
Papaloizou, J.C.B., & Ivanov, P.B., 2005, MNRAS, 364, L66CrossRef
Papaloizou, J.C.B., & Ivanov, P.B., 2010, MNRAS, 407, 1631CrossRef
Papaloizou, J.C.B., & Savonije, G.J., 1997, MNRAS, 291, 651CrossRef
Pápics, P.I., Briquet, M., Baglin, A., et al., 2012, A&A, 542, A55
Peale, S.J., & Cassen, P., 1978, Icarus, 36, 245CrossRef
Penev, K., Barranco, J., & Sasselov, D., 2009a, ApJ, 705, 285CrossRef
Penev, K., & Sasselov, D., 2011, ApJ, 731, 67CrossRef
Penev, K., Sasselov, D., Robinson, F., & Demarque, P., 2009b, ApJ, 704, 930CrossRef
Perrard, S., Le Bars, M., & Le Gal, P., 2013, Lect. Notes Phys., 865 (Berlin Springer Verlag) ed. Goupil, M., Belkacem, K., Neiner, C., Lignières, F. & Green, J.J., 239Google Scholar
Perryman, M., 2011, The Exoplanet HandbookCrossRefGoogle Scholar
Pinsonneault, M.H., Kawaler, S.D., Sofia, S., & Demarque, P., 1989, ApJ, 338, 424CrossRef
Pinto, R.F., Brun, A.S., Jouve, L., & Grappin, R., 2011, ApJ, 737, 72CrossRef
Prat, V., & Lignières, F., 2013, A&A, 551, L3
Press, W.H., 1981, ApJ, 245, 286CrossRef
Remus, F., Mathis, S., & Zahn, J.-P., 2012a, A&A, 544, A132
Remus, F., Mathis, S., Zahn, J.-P., & Lainey, V., 2012b, A&A, 541, A165
Rieutord, M., 1992, A&A, 259, 581
Rieutord, M., 2006, A&A, 451, 1025
Rieutord, M., Georgeot, B., & Valdettaro, L., 2001, J. Fluid Mech., 435, 103CrossRef
Rieutord, M., & Valdettaro, L., 1997, J. Fluid Mech., 341, 77CrossRef
Rieutord, M., & Valdettaro, L., 2010, J. Fluid Mech., 643, 363CrossRef
Rieutord, M., Valdettaro, L., & Georgeot, B., 2002, J. Fluid Mech., 463, 345CrossRef
Rieutord, M., & Zahn, J.-P., 1997, ApJ, 474, 760CrossRef
Rocca, A., 1982, A&A, 111, 252
Rocca, A., 1987, A&A, 175, 81
Rocca, A., 1989, A&A, 213, 114PubMed
Rogers, T.M., & Glatzmaier, G.A., 2005, MNRAS, 364, 1135CrossRef
Rogers, T.M., & Glatzmaier, G.A., 2006, ApJ, 653, 756CrossRef
Rogers, T.M., Lin, D.N.C., & Lau, H.H.B., 2012, ApJ, 758, L6CrossRef
Rogers, T.M., & MacGregor, K.B., 2011, MNRAS, 410, 946CrossRef
Rogers, T.M., MacGregor, K.B., & Glatzmaier, G.A., 2008, MNRAS, 387, 616CrossRef
Rudiger, G., & Kitchatinov, L.L., 1997, Astron. Nachr., 318, 273CrossRef
Rüdiger, G., Kitchatinov, L.L., & Elstner, D., 2012, MNRAS, 425, 2267CrossRef
Samadi, R., Belkacem, K., Goupil, M.J., et al., 2010, Astrophys. Space Sci., 328, 253CrossRef
Savonije, G.J., & Papaloizou, J.C.B., 1997, MNRAS, 291, 633CrossRef
Savonije, G.J., Papaloizou, J.C.B., & Alberts, F., 1995, MNRAS, 277, 471CrossRef
Savonije, G.J., & Witte, M.G., 2002, A&A, 386, 211
Scharlemann, E.T., 1981, ApJ, 246, 292CrossRef
Schatzman, E., 1993a, A&A, 271, L29
Schatzman, E., 1993b, A&A, 279, 431
Schatzman, E., 1996, Sol. Phys., 169, 245CrossRef
Spada, F., Lanzafame, A.C., & Lanza, A.F., 2010, MNRAS, 404, 641CrossRef
Spruit, H.C., 1999, A&A, 349, 189
Spruit, H.C., 2002, A&A, 381, 923
Strugarek, A., Brun, A.S., & Zahn, J.-P., 2011, Astron. Nachr., 332, 891CrossRef
Strugarek, A., Brun, A.S., & Zahn, J.-P., 2011, A&A, 532, A34+
Sutherland, B.R., & Yewchuk, K., 2004, J. Fluid Mech., 511, 125CrossRef
Talon, S., & Charbonnel, C., 2005, A&A, 440, 981
Talon, S., & Charbonnel, C., 2008, A&A, 482, 597
Talon, S., & Zahn, J.-P., 1997, A&A, 317, 749
Tassoul, J.-L., & Tassoul, M., 1992a, ApJ, 395, 259CrossRef
Tassoul, M., & Tassoul, J.-L., 1992b, ApJ, 395, 604CrossRef
Tassoul, M., & Tassoul, J.-L., 1997, ApJ, 481, 363CrossRef
Tayler, R.J., 1973, MNRAS, 161, 365CrossRef
Tobie, G., Mocquet, A., & Sotin, C., 2005, Icarus, 177, 534CrossRef
Turck-Chièze, S., & Couvidat, S., 2011, Reports on Progress in Physics, 74, 086901CrossRef
Turck-Chièze, S., Palacios, A., Marques, J.P., & Nghiem, P.A.P., 2010, ApJ, 715, 1539CrossRef
Ud-Doula, A., Owocki, S.P., & Townsend, R.H.D., 2009, MNRAS, 392, 1022CrossRef
Udry, S., & Santos, N.C., 2007, Annu. Rev. Astron. Astr., 45, 397CrossRef
Unno, W., Osaki, Y., Ando, H., Saio, H., & Shibahashi, H., 1989, Nonradial Oscillations of StarsGoogle Scholar
Wade, G.A., Alecian, E., Bohlender, D.A., et al., 2011, IAU Symposium, ed. Neiner, C., Wade, G., Meynet, G. & Peters, G., 272, 118Google Scholar
Waleffe, F., 1990, Phys. Fluids, 2, 76CrossRef
Weinberg, N.N., Arras, P., Quataert, E., & Burkart, J., 2012, ApJ, 751, 136CrossRef
Welsh, W.F., Orosz, J.A., Aerts, C., et al., 2011, ApJS, 197, 4CrossRef
Witte, M.G., & Savonije, G.J., 1999a, A&A, 341, 842PubMed
Witte, M.G., & Savonije, G.J., 1999b, A&A, 350, 129
Witte, M.G., & Savonije, G.J., 1999c, A&A, 350, 129
Witte, M.G., & Savonije, G.J., 2001, A&A, 366, 840PubMed
Witte, M.G., & Savonije, G.J., 2002, A&A, 386, 222
Wood, T.S., McCaslin, J.O., & Garaud, P., 2011, ApJ, 738, 47CrossRef
Wu, Y., 2005a, ApJ, 635, 674CrossRef
Wu, Y., 2005b, ApJ, 635, 688CrossRef
Zahn, J.P., 1966a, Ann. d'Astr., 29, 313
Zahn, J.P., 1966b, Ann. d'Astr., 29, 489
Zahn, J.P., 1966c, Ann. d'Astr., 29, 489
Zahn, J.P., 1966d, Ann. d'Astr., 29, 565
Zahn, J.-P., 1975, A&A, 41, 329PubMed
Zahn, J.-P., 1977, A&A, 57, 383PubMed
Zahn, J.-P., 1989, A&A, 220, 112
Zahn, J.-P., 1991, A&A, 252, 179
Zahn, J.-P., 1992, A&A, 265, 115PubMed
Zahn, J.-P., & Bouchet, L., 1989, A&A, 223, 112
Zahn, J.-P., Brun, A.S., & Mathis, S., 2007, A&A, 474, 145
Zahn, J.-P., Talon, S., & Matias, J., 1997, A&A, 322, 320PubMed
Zanni, C., & Ferreira, J., 2013, A&A, 550, A99
Zhang, Q.S., 2013 [ArXiv e-prints]