Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2020 | OriginalPaper | Chapter

1. Internal Waves and Tides in Stars and Giant Planets

Author : Gordon I. Ogilvie

Published in: Fluid Mechanics of Planets and Stars

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Internal waves play an important role in tidal dissipation in stars and giant planets. This chapter provides a pedagogical introduction to the study of astrophysical tides, with an emphasis on the contributions of inertial waves and internal gravity waves.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
next chapter Waves and Convection in Stellar Astrophysics
Literature
Alvan, L., Brun, A. S., & Mathis, S. (2014). Theoretical seismology in 3D: Nonlinear simulations of internal gravity waves in solar-like stars. Astronomy & Astrophysics, 565, A42.CrossRef
Backus, G., & Rieutord, M. (2017). Completeness of inertial modes of an incompressible inviscid fluid in a corotating ellipsoid. Physical Review E, 95, 053116.CrossRef
Barker, A. J., & Ogilvie, G. I. (2010). On internal wave breaking and tidal dissipation near the centre of a solar-type star. Monthly Notices of the Royal Astronomical Society, 404, 1849–1868.
Bryan, G. H. (1889). The waves on a rotating liquid spheroid of finite ellipticity. Philosophical Transactions of the Royal Society of London Series A, 180, 187–219.CrossRef
Chandrasekhar, S. (1969). Ellipsoidal figures of equilibrium. New Haven: Yale University Press.MATH
Christensen-Dalsgaard, J., Dappen, W., Ajukov, S. V., et al. (1996). The current state of solar modeling. Science, 272, 1286–1292.CrossRef
Dauxois, T., Joubaud, S., Odier, P., & Venaille, A. (2018). Instabilities of internal gravity wave beams. Annual Review of Fluid Mechanics, 50, 131–156.MathSciNetCrossRef
Dintrans, B., & Rieutord, M. (2000). Oscillations of a rotating star: A non-perturbative theory. Astronomy & Astrophysics, 354, 86–98.
Favier, B., Barker, A. J., Baruteau, C., & Ogilvie, G. I. (2014). Non-linear evolution of tidally forced inertial waves in rotating fluid bodies. Monthly Notices of the Royal Astronomical Society, 439, 845–860.CrossRef
French, R. G., McGhee-French, C. A., Nicholson, P. D., & Hedman, M. M. (2019). Kronoseismology III: Waves in Saturn’s inner C ring. Icarus, 319, 599–626.CrossRef
Fuller, J., Luan, J., & Quataert, E. (2016). Resonance locking as the source of rapid tidal migration in the Jupiter and Saturn moon systems. Monthly Notices of the Royal Astronomical Society, 458, 3867–3879.CrossRef
Goodman, J., & Lackner, C. (2009). Dynamical tides in rotating planets and stars. Astrophysical Journal, 696, 2054–2067.CrossRef
Helled, R. (2019). The interiors of Jupiter and Saturn. In Read P., et al. (Eds.), Oxford research encyclopedia of planetary science. Oxford: Oxford University Press.
Ivanov, P. B., & Papaloizou, J. C. B. (2010). Inertial waves in rotating bodies: A WKBJ formalism for inertial modes and a comparison with numerical results. Monthly Notices of the Royal Astronomical Society, 407, 1609–1630.CrossRef
Ivers, D. J., Jackson, A., & Winch, D. (2015). Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a sphere. Journal of Fluid Mechanics, 766, 468–498.MathSciNetCrossRef
Jouve, L., & Ogilvie, G. I. (2014). Direct numerical simulations of an inertial wave attractor in linear and nonlinear regimes. Journal of Fluid Mechanics, 745, 223–250.MathSciNetCrossRef
Lin, Y., & Ogilvie, G. I. (2018). Tidal dissipation in rotating fluid bodies: The presence of a magnetic field. Monthly Notices of the Royal Astronomical Society, 474, 1644–1656.CrossRef
Lockitch, K. H., & Friedman, J. L. (1999). Where are the r-modes of isentropic stars? Astrophysical Journal, 521, 764–788.CrossRef
Maas, L. R. M., & Lam, F. P. A. (1995). Geometric focusing of internal waves. Journal of Fluid Mechanics, 300, 1–41.MathSciNetCrossRef
Mirouh, G. M., Baruteau, C., Rieutord, M., & Ballot, J. (2016). Gravito-inertial waves in a differentially rotating spherical shell. Journal of Fluid Mechanics, 800, 213–247.MathSciNetCrossRef
Moore, D. W., & Saffman, P. G. (1969). The structure of free vertical shear layers in a rotating fluid and the motion produced by a slowly rising body. Philosophical Transactions of the Royal Society of London Series A, 264, 597–634.CrossRef
Ogilvie, G. I. (2005). Wave attractors and the asymptotic dissipation rate of tidal disturbances. Journal of Fluid Mechanics, 543, 19–44.MathSciNetCrossRef
Ogilvie, G. I. (2009). Tidal dissipation in rotating fluid bodies: A simplified model. Monthly Notices of the Royal Astronomical Society, 396, 794–806.CrossRef
Ogilvie, G. I. (2013). Tides in rotating barotropic fluid bodies: The contribution of inertial waves and the role of internal structure. Monthly Notices of the Royal Astronomical Society, 429, 613–632.CrossRef
Ogilvie, G. I. (2014). Tidal dissipation in stars and giant planets. Annual Review of Astronomy and Astrophysics, 52, 171–210.CrossRef
Ogilvie, G. I., & Lin, D. N. C. (2004). Tidal dissipation in rotating giant planets. Astrophysical Journal, 610, 477–509.CrossRef
Phillips, O. M. (1981). Wave interactions—The evolution of an idea. Journal of Fluid Mechanics, 106, 215–227.CrossRef
Prat, V., Lignières, F., & Ballot, J. (2016). Asymptotic theory of gravity modes in rotating stars I. Ray dynamics. Astronomy & Astrophysics, 587, A110.
Rieutord, M., & Valdettaro, L. (2010). Viscous dissipation by tidally forced inertial modes in a rotating spherical shell. Journal of Fluid Mechanics, 643, 363–394.MathSciNetCrossRef
Rieutord, M., Georgeot, B., & Valdettaro, L. (2001). Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum. Journal of Fluid Mechanics, 435, 103–144.MathSciNetCrossRef
Sridhar, S., & Tremaine, S. (1992). Tidal disruption of viscous bodies. Icarus, 95, 86–99.CrossRef
Thompson, M. J., Toomre, J., Anderson, E. R., et al. (1996). Differential rotation and dynamics of the solar interior. Science, 272, 1300–1305.CrossRef
Weinberg, N. N., Arras, P., Quataert, E., & Burkart, J. (2012). Nonlinear tides in close binary systems. Astrophysical Journal, 751, 136.CrossRef
Weinberg, N. N., Sun, M., Arras, P., & Essick, R. (2017). Tidal dissipation in WASP-12. Astrophysical Journal, 849, L11.CrossRef
Witte, M. G., & Savonije, G. J. (1999). Tidal evolution of eccentric orbits in massive binary systems. A study of resonance locking. Astronomy & Astrophysics, 350, 129–147.
Wu, Y. (2005). Origin of tidal dissipation in Jupiter. I. Properties of inertial modes. Astrophysical Journal, 635, 674–687.CrossRef
Metadata
Title
Internal Waves and Tides in Stars and Giant Planets
Author
Gordon I. Ogilvie
Copyright Year
2020
Book
Fluid Mechanics of Planets and Stars

Print ISBN: 978-3-030-22073-0

Electronic ISBN: 978-3-030-22074-7

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-22074-7_1

Premium Partners

    Image Credits