Skip to main content

Effects of Rotation on Stellar p-Mode Frequencies

  • Chapter
The Rotation of Sun and Stars

Part of the book series: Lecture Notes in Physics ((LNP,volume 765))

Abstract

Effects of stellar rotation on adiabatic oscillation frequencies of pressure modes are discussed. Methods to evaluate them are briefly exposed and some of their main results are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alecian, E., Catala, C., van’t Veer-Menneret, C., Goupil, M.-J., Balona, L.: AA 442, 993 (2005)

    Google Scholar 

  2. Alecian, E., Goupil, M.-J., Lebreton, Y., Dupret, M.-A., Catala, C.: AA 465, 241 (2007)

    ADS  Google Scholar 

  3. Antia, H.M., Basu, S., Chitre, S.M.: MNRAS 298, 543 (1998)

    Article  ADS  Google Scholar 

  4. Antoci, V., Breger, M., Bishof, K., Garrido, R.: In: Sterken, C., Aerts, C., Appourchaux, T., Berthomieu, G., Michel, E., et al. (eds.) vol. 1306, p. 377. ESA Special Publication, PASP 349, 181 (2006)

    Google Scholar 

  5. Ausseloos, M., Scuflaire, R., Thoul, A., Aerts, C.: MNRAS 355, 352 (2004)

    Article  ADS  Google Scholar 

  6. Backus, G., Gilbert, F.: Phil. Trans. R. Soc. London, A 266, 123 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  7. Baglin, A.: Auvergne, M., Barge P. Deleuil, M., Catal, C., Michel, E., Weiss, W., and the CoRoT team.: The Seismology programme of the CoRoT space mission, Proceedings of SOHO 18/GONG 2006/HELAS I, Beyond the spherical sun, ESA Special Publication, 624, 34 (2006)

    ADS  Google Scholar 

  8. Ballot, J., Brun, A.S., Turck-Chièze, S.: ApJ 669, 1190 (2007)

    Article  ADS  Google Scholar 

  9. Bonanno, A., Küker, M., Paternó, L.: AA 462, 1031 (2007)

    ADS  Google Scholar 

  10. Bonazzola, S., Gourgoulhon, E., Marck, J.-A., Numerical approach for high precision 3D relativistic star models. Phys. Rev D 58, 104020 (1998)

    Article  ADS  Google Scholar 

  11. Breger, M., Lenz, P., Antoci, V., et al.: A&A 435, 955 (2005)

    Article  ADS  Google Scholar 

  12. Briquet, M., Morel, T., Thoul, A., Scuflaire, R., Miglio, A., Montalbán, J., Dupret, M.-A., Aerts, C.: MNRAS 381, 1482 (2007)

    Article  ADS  Google Scholar 

  13. Brun, A.S., Miesch, M.S., Toomre, J.: ArXiv Astrophysics e-prints, astro-ph/0610073 (2006)

    Google Scholar 

  14. Bruntt, H., Suarez, J.C., Bedding, T.R., et al.: AA 461, 619 (2007)

    ADS  Google Scholar 

  15. Burke, K.D., Thompson, M.J.: In: Proceedings of SOHO 18/GONG 2006/HELAS I, Beyond the Spherical Sun. ESA Special Publication, 624 (2006)

    Google Scholar 

  16. Buzasi, D. L., Bruntt, H., Bedding, T.R. et al.: AA 619, 1072 (2005)

    Google Scholar 

  17. Chandrasekhar, S., Lebovitz, N.R.: ApJ 136, 1069 (1962a)

    Article  ADS  Google Scholar 

  18. Chandrasekhar, S., Lebovitz, N.R.: ApJ 136, 1082 (1962b)

    Article  ADS  Google Scholar 

  19. Chandrasekhar, S., Lebovitz, N.R.: ApJ 136, 1105 (1962c)

    Article  ADS  Google Scholar 

  20. Chandrasekhar, S., ApJ 140, 599 (1964)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  21. Chandrasekhar, S., Lebovitz, N.R.: ApJ 152, 152 (1968)

    Google Scholar 

  22. Charbonneau, P.: AA 259, 134 (1992)

    ADS  Google Scholar 

  23. Charbonnel, C., Talon, S.: Science 309, 2189 (2005)

    Article  ADS  Google Scholar 

  24. Chlebowski, T.: Acta Astronom. 28, 441 (1978)

    ADS  Google Scholar 

  25. Christensen-Dalsgaard, J., Mullan, D.J.: MNRAS 270, 921 (1994)

    ADS  Google Scholar 

  26. Christensen-Dalsgaard, J., Thompson, M.J.: AA 350, 852 (1999)

    ADS  Google Scholar 

  27. Christensen-Dalsgaard, J., (CD03), Lecture note on stellar oscillation, 5th edn. http://www.phys.au.dk/ jcd/oscilnotes/) (2003)

  28. Claudi, R.U., Bonanno, A., Leccia, S., et al.: AA 429, L17 (2005)

    ADS  Google Scholar 

  29. Clement, M.J.: ApJ 141, 210 (1965a)

    Article  ADS  MathSciNet  Google Scholar 

  30. Clement, M.J.: ApJ 142, 243 (1965b)

    Article  ADS  MathSciNet  Google Scholar 

  31. Clement, M.J.: ApJ 249, 746 (1981)

    Article  ADS  Google Scholar 

  32. Clement, M.J.: ApJ 276, 724 (1984)

    Article  ADS  Google Scholar 

  33. Clement, M.J.: ApJ 339, 1022 (1989)

    Article  ADS  Google Scholar 

  34. Cowling, T.G.: Newing, R.A.: ApJ 109, 149 (1949)

    Article  ADS  MathSciNet  Google Scholar 

  35. Cox, J.P.: Theory of stellar pulsation. Research supported by the National Science Foundation Princeton, Princeton University Press, NJ (1980)

    Google Scholar 

  36. Craig, I.J.D., Brown, J.C.: Inverse problems in astronomy. Adam Hilger Ltd. (1986)

    Google Scholar 

  37. Daszynska-Daszkiewicz, J., Dziembowski, W.A., Pamyatnykh, A.A., Goupil, M.J.: AA 392, 151 (2002)

    ADS  Google Scholar 

  38. Daszynska-Daszkiewicz, J., Dziembowski, W.A., Pamyatnykh, A.A.: 407, 999 (2003)

    Google Scholar 

  39. Daszynska-Daszkiewicz, J., Dziembowski, W.A., Pamyatnykh, A.A., et al.: 438, 653 (2005)

    Google Scholar 

  40. Deupree, R.G.: ApJ 357, 175 (1990)

    Article  ADS  Google Scholar 

  41. Deupree, R.G.: ApJ 552, 268 (2001)

    Article  ADS  Google Scholar 

  42. Domiciano de Souza, A., Kervella, P., Jankov, S., et al.: AA 442, 567 (2005)

    Google Scholar 

  43. Dupret, M.-A., Thoul, A., Scuflaire, R., et al.: AA 415, 251 (2004)

    ADS  Google Scholar 

  44. Dupret, M.-A., Böhm, T., Goupil, M.-J., et al.: Commun. Asteroseismology 147, 72 (2006)

    Article  ADS  Google Scholar 

  45. Dyson, J., Schutz, B.F.: Proc. R. Soc. Lond. A Math. Phys. Sci. 368, 389 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  46. Dziembowski, W.A., Goode, P.R.: (DG92), ApJ 394, 670 (1992)

    Article  ADS  Google Scholar 

  47. Dziembowski, W.A., Goupil, M.-J.: In: Kjeldsen, H., Bedding, T.R. (eds.) The First MONS Workshop: Science with a Small Space Telescope, held in Aarhus, Denmark, June 29–30, 1998, p. 69. Aarhus Universitet(1998)

    Google Scholar 

  48. Eddington, A.S.: MNRAS 90, 54 (1929)

    ADS  Google Scholar 

  49. Eggenberger, P., Carrier, F.: AA 449, 293 (2006)

    MATH  ADS  Google Scholar 

  50. Espinosa, F., PhD thesis

    Google Scholar 

  51. Espinosa, F., Pérez Hernández, F., Roca Cortés, T.: In: Danesy, D., (ed.) SOHO 14 Helio- and Asteroseismology: Towards a Golden Future, vol. 559, p. 424. ESA Special Publication (2004)

    Google Scholar 

  52. Espinosa Lara, F., Rieutord, M.: AA 470, 1013 (2007)

    Google Scholar 

  53. Fletcher, S.T., Chaplin, W.J., Elsworth, Y., Schou, J., Buzasi, D.: MNRAS 371, 935–944 (2006)

    Article  ADS  Google Scholar 

  54. Gough, D.: Sol. Phys. 100, 65 (1985)

    Article  ADS  Google Scholar 

  55. Gough, D.O., Thompson, M.J.: (GT90), MNRAS 242, 25 (1990)

    MATH  ADS  Google Scholar 

  56. Gough, D.O., Thompson, M.J.: The inversion probleme, in Solar interior and atmosphere. In: Cox, A.N., Livingston, W.C., Matthews, M.S. (eds.) p. 519. University of Arizona Press (1991)

    Google Scholar 

  57. Gough, D.O.: Linear adiabatic stellar pulsation. In: Zahn, J.P., Zinn-Justin, J., (eds.) Astrophysical Fluid Dynamics, Les Houches Session XLVII 1987, p. 399. Elsevier Science Publishers B.V. (1993)

    Google Scholar 

  58. Goupil, M.J., Michel, E., Lebreton, Y., Baglin, A.: AA 268, 546 (1993)

    ADS  Google Scholar 

  59. Goupil, M.J., Michel, E., Cassisi, S., et al.: In: Feast, M.W. (eds.) IAU Colloq. 155: Astrophysical Applications of Stellar Pulsation, Astronomical Society of the Pacific Conference Series. 83, 453 (1995)

    ADS  Google Scholar 

  60. Goupil, M.-J., Dziembowski, W.A., Goode, P.R., Michel, E.: AA 305, 487 (1996)

    ADS  Google Scholar 

  61. Goupil, M.-J., Dziembowski, W.A., Pamyatnykh, A.A., Talon, S.: In: Breger, M., Montgomery, M. (eds.) Delta Scuti and Related Stars, Astronomical Society of the Pacific Conference Series. 210, 267 (2000)

    ADS  Google Scholar 

  62. Goupil, M.J., Talon, S.: In: Aerts, C., Bedding, T.R., Christensen-Dalsgaard, J. (eds.) IAU Colloq. 185: Radial and Nonradial Pulsations as Probes of Stellar Physics, Astronomical Society of the Pacific Conference Series. 259, 306 (2002)

    ADS  Google Scholar 

  63. Goupil, M.J., Samadi, R., Lochard, J., et al.: In: Favata, F., Aigrain, S., Wilson, A. (eds.) Stellar Structure and Habitable Planet Finding, vol. 538, p. 133. ESA Special Publication (2004)

    ADS  Google Scholar 

  64. Goupil, M.-J., Dupret, M.A., Samadi, R., et al.: JApA 26, 249 (2005)

    ADS  Google Scholar 

  65. Goupil, M.J., Moya, A., Suarez, J.C., et al.: Why bothering to measure stellar rotation with CoRoT? ESA Special Publication 1306, 51 (2006)

    ADS  Google Scholar 

  66. Goupil, M.J., Dupret, M.A.: EAS Publications Series. 26, 93 (2007)

    Article  Google Scholar 

  67. Hadamard, J.: Lectures on Cauchy’s problem in linear partial differential equations’. Yale University Press, New Haven, CT (1923)

    Google Scholar 

  68. Handler, G., Shobbrook, R.R., Mokgwetsi, T.: MNRAS 362, 612 (2005)

    Article  ADS  Google Scholar 

  69. Hansen, C.J., Cox, J.P., Carroll, B.W.: ApJ 226, 210 (1978)

    Article  ADS  Google Scholar 

  70. Hansen, C.J., Cox, J.P., van Horn, H.M.: ApJ 217, 151 (1977)

    Article  ADS  Google Scholar 

  71. Hekker, S., Arentoft, T., Kjeldsen, H., et al.: ArXiv e-prints, 0710.3772 (1978)

    Google Scholar 

  72. Jackson, S., MacGregor, K.B., Skumanich, A.: ApJ 606, 1196 (2004)

    Article  ADS  Google Scholar 

  73. Jackson, S., MacGregor, K.B., Skumanich, A.: ApJS 156, 245 (2005)

    Article  ADS  Google Scholar 

  74. Jerzykiewicz, M., Handler, G., Shobbrook, R.R., et al.: MNRAS 360, 619 (2005)

    Article  ADS  Google Scholar 

  75. Karami, K., Christensen-Dalsgaard, J., Pijpers, F.P., et al.: ArXiv Astrophysics e-prints, astro-ph/0502194 (2005)

    Google Scholar 

  76. Kippenhahn, R., Meyer-Hofmeister, E., Thomas, H.: AA 5, 155 (1970)

    ADS  Google Scholar 

  77. Kippenhahn, R., Weigert, A.: In: Stellar Structure and Evolution, Springer-Verlag (1994)

    Google Scholar 

  78. Lebovitz, N.R.: ApJ 160, 701 (1970a)

    Article  ADS  Google Scholar 

  79. Lebovitz, N.R.: Ap&SS 9, 398 (1970b)

    Article  ADS  Google Scholar 

  80. Leccia, S., Kjeldsen, H., Bonanno, A., et al.: AA 464, 1059 (2007)

    ADS  Google Scholar 

  81. Ledoux, P.: ApJ 102, 143 (1945)

    Article  ADS  MathSciNet  Google Scholar 

  82. Ledoux, P.: ApJ 114, 373 (1951)

    Article  ADS  Google Scholar 

  83. Ledoux, P., Walraven, T.: Handbuch der Physik 51, 353 (1958)

    ADS  Google Scholar 

  84. Lee, U., Saio, H.: MNRAS 221, 365 (1986)

    ADS  Google Scholar 

  85. Lignières, F., Rieutord, M., Reese, D.: AA 455, 607 (2006)

    ADS  Google Scholar 

  86. Lochard, J., Samadi, R., Goupil, M.J.: AA 438, 939 (2005)

    ADS  Google Scholar 

  87. Lovekin, C.C., Deupree, R.G.: Mem. S.A., It, 77, 137 (2006)

    ADS  Google Scholar 

  88. Lynden-Bell, D., Ostriker, J.P.: MNRAS 136, 293 (1967)

    MATH  ADS  Google Scholar 

  89. Maeder, A., Zahn, J.-P., AA 334, 1000 (1998)

    ADS  Google Scholar 

  90. Maeder, A.: AA 399, 263 (2003)

    ADS  Google Scholar 

  91. Mathis, S., Palacios, A., Zahn, J.-P.: AA 425, 243 (2004)

    ADS  Google Scholar 

  92. Mathis, S., Zahn, J.-P.: AA 425, 229 (2004)

    ADS  Google Scholar 

  93. Mathis, S., Decressin, T., Palacios, A., et al.: In: Proceedings of SOHO 18/GONG 2006/HELAS I, Beyond the Spherical Sun, vol. 624, ESA Special Publication (2006)

    Google Scholar 

  94. Mathis, S., Eggenberger, P., Decressin, T., et al.: In: EAS Publications Series, vol. 26, p. 65 (2007a)

    Article  Google Scholar 

  95. Mathis, S., Palacios, A., Zahn, J.-P.: AA 462, 1063 (2007b)

    ADS  Google Scholar 

  96. Mestel, L.: In: Thompson, M.J., Christensen-Dalsgaard, J. (eds.) Stellar Astrophysical Fluid Dynamics, p. 75. Cambridge University Press, ISBN 0-521-81809-5, (2003)

    Google Scholar 

  97. Meynet, G., Maeder, A.: AA 361, 101 (2000)

    ADS  Google Scholar 

  98. Michel, E., Chevreton, M., Goupil, M.J., et al.: 4th SOHO Workshop Helioseismology, vol. 2, p. 533 (1995)

    ADS  Google Scholar 

  99. Miesch, M.S., Brun, A.S., DeRosa, M.L., Toomre, J.: American Astronomical Society Meeting Abstracts 210, 17 (2007)

    Google Scholar 

  100. Monnier, J.D., Zhao, M., Pedretti, E., et al.: Science 317, 342 (2007)

    Article  ADS  Google Scholar 

  101. Mosser, B., Bouchy, F., Catala, C., et al.: AA 431, L13 (2005)

    ADS  Google Scholar 

  102. Palacios, A., Talon, S., Charbonnel, C., Forestini, M.: AA 399, 603 (2003)

    ADS  Google Scholar 

  103. Pamyatnykh, A.A.: PASP 284, 97 (2003)

    Google Scholar 

  104. Pamyatnykh, A.A., Handler, G., Dziembowski, W.A.: MNRAS 350, 1022 (2004)

    Article  ADS  Google Scholar 

  105. Pigulski, A.: Coast 150, 159 (2007)

    ADS  Google Scholar 

  106. Pijpers, F.P., Thompson, M.J.: MNRAS 262, L33 (1992)

    ADS  Google Scholar 

  107. Pijpers, F.P., Thompson, M.J.: AA 281, 231 (1994)

    ADS  Google Scholar 

  108. Pijpers, F.P., Thompson, M.J.: MNRAS 279, 498 (1996)

    ADS  Google Scholar 

  109. Pijpers, F.P.: AA 326, 1235 (1997)

    ADS  Google Scholar 

  110. Pijpers, F.P.: MNRAS 297, L76 (1998)

    Article  ADS  Google Scholar 

  111. Poretti, E., Mantegazza, L., Riboni, E.: AA 256, 113 (1992)

    ADS  Google Scholar 

  112. Reese, D.: PhD thesis, AA (Universit’e Toulouse III - Paul Sabatier) (2006)

    Google Scholar 

  113. Reese, D., Lignières, F., Rieutord, M.: AA 455, 621 (2006)

    ADS  Google Scholar 

  114. Rieutord, M.: AA 451, 1025 (2006a)

    MATH  ADS  Google Scholar 

  115. Rieutord, M.: ArXiv Astrophysics e-prints, astro-ph/0608431 (2006b)

    Google Scholar 

  116. Rieutord, M.: ArXiv Astrophysics e-prints, astro-ph/0702384 (2007)

    Google Scholar 

  117. Roxburgh, I.W.: AA 428, 171 (2004)

    MATH  ADS  Google Scholar 

  118. Roxburgh, I.W.: AA 454, 883 (2006)

    ADS  Google Scholar 

  119. Royer, F., Grenier, S., Baylac, M.-O., Gómez, A.E., Zorec, J.: AA 393, 897 (2002)

    ADS  Google Scholar 

  120. Rüdiger, G., Küker, M., Chan, K.L.: AA 399, 743 (2003)

    Google Scholar 

  121. Rüdiger, G., Kitchatinov, L.L., Arlt, R.: AA 444, L53 (2005)

    Google Scholar 

  122. Saio, H.: ApJ 244, 299 (1981)

    Article  ADS  Google Scholar 

  123. Saio, H.: In: Aerts, C., Bedding, T.R., Christensen-Dalsgaard, J. (eds.) IAU Colloq. 185: Radial and Nonradial Pulsationsn as Probes of Stellar Physics, Astronomical Society of the Pacific Conference Series, vol. 259, p. 177 (2002)

    ADS  Google Scholar 

  124. Schou, J., Christensen-Dalsgaard, J., Thompson, M.J.: ApJ 433, 389 (1994a)

    Article  ADS  Google Scholar 

  125. Schou, J., Brown, T.M.: ApJ 434, 378 (1994b)

    Article  ADS  Google Scholar 

  126. Schou, J., Antia, H.M., Basu, S., et al.: ApJ 505, 390 (1998)

    Article  ADS  Google Scholar 

  127. Schutz, B.F.: MNRAS 190, 7 (1980a)

    ADS  MathSciNet  Google Scholar 

  128. Schutz, B.F.: MNRAS 190, 21 (1980b)

    ADS  MathSciNet  Google Scholar 

  129. Simon, R.: AA 2, 390 (1969)

    ADS  Google Scholar 

  130. Soufi, F., Goupil, M.J., Dziembowski, W.A.: AA 334, 911 (1998)

    ADS  Google Scholar 

  131. Suárez, J.C., Bruntt, H., Buzasi, D.: AA 438, 633 (2005)

    ADS  Google Scholar 

  132. Suárez, J.C., Garrido, R., Goupil, M.J.: AA 447, 649 (2006a)

    ADS  Google Scholar 

  133. Suárez, J.C., Goupil, M.J., Morel, P.: AA 449, 673 (2006b)

    ADS  Google Scholar 

  134. Suárez, J.C.: EAS Publications Series, vol. 26, p. 121 (2007)

    Article  Google Scholar 

  135. Suárez, J.C., Garrido, R., Moya, A.: AA 474, 971 (2007)

    Google Scholar 

  136. Suran, M., Goupil, M., Baglin, A., et al.: AA 372, 233 (2001)

    ADS  Google Scholar 

  137. Sweet, P.A.: MNRAS 110, 548 (1950)

    MATH  ADS  MathSciNet  Google Scholar 

  138. Talon, S., Zahn, J.-P., Maeder, A., Meynet, G.: AA 322, 209 (1997)

    ADS  Google Scholar 

  139. Talon, S.: In: Proceedings of SOHO 18/GONG 2006/HELAS I, Beyond the Spherical Sun, vol. 624, p. 37. ESA Special Publication, (2006)

    Google Scholar 

  140. Talon, S.: In: Proceedings of the Aussois School “Stellar Nucleosynthesis: 50 years after B2FH” ArXiv e-prints, vol. 708 (2007)

    Google Scholar 

  141. Tassoul, J.-L.: Theory of Rotating Stars, Princeton Series in Astrophysics, University Press, Princeton (1978)

    Google Scholar 

  142. Thompson, M.J., Christensen-Dalsgaard, J., Miesh, M.S., Toomre, J.: The internal rotation of the Sun. Ann. Rev. Astron. Astrophys. 41, 599 (2003)

    Article  ADS  Google Scholar 

  143. Unno, W., Osaki, Y., Ando, H., et al.: Nonradial Oscillations of Stars, 2nd edn. University of Tokyo Press, Tokyo (1989)

    Google Scholar 

  144. Vogt, H.: Astron. Nachr. 234, 93 (1929)

    Article  MATH  ADS  Google Scholar 

  145. von Zeipel, H.: MNRAS 84, 665 (1924a)

    ADS  Google Scholar 

  146. von Zeipel, H.: MNRAS 84, 684 (1924b)

    ADS  Google Scholar 

  147. Zahn, J.-P.: AA 265, 115 (1992)

    ADS  Google Scholar 

  148. Zahn, J.-P.: In: Thompson, M.J., Christensen-Dalsgaard, J. (eds.) Stellar Astrophysical Fluid Dynamics, p. 205. ISBN 0-521-81809-5, Cambridge University Press (2003)

    Google Scholar 

  149. Zahn, J.-P., Brun, A.S., Mathis, S.: AA 474, 145 (2007)

    MATH  ADS  Google Scholar 

  150. Zima, W., Wright, D., Bentley, P.L., et al.: AA 455, 235 (2006)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Goupil, M. (2009). Effects of Rotation on Stellar p-Mode Frequencies. In: Rozelot, JP., Neiner, C. (eds) The Rotation of Sun and Stars. Lecture Notes in Physics, vol 765. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87831-5_3

Download citation

Publish with us

Policies and ethics