Skip to main content
SpringerLink
Log in

Oceanic Tides

  • Chapter
Tides in Astronomy and Astrophysics

Part of the book series: Lecture Notes in Physics ((LNP,volume 861))

Abstract

The phenomena of tides are a matter of common experience: ocean tides under the influence of the Moon and the Sun, differences of the surface level of the oceans reaching several meters, following well-established cycles. In the present chapter we propose a first step in the general and classical mathematical formulations of the tidal potential and tidal force. Then we apply this formulation to the concrete case of the lunisolar ocean tides at a given point of the surface of the sea. At the end we give a review of various tidal manifestations all around the world.

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

Access this chapter

Log in via an institution
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 EPUB and 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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    ‘Amphidromic’ derives from the Greek words amphi (around) and dromos (running).

References

  1. Airy, G.B.: Tides and waves. In: Rose, H.J. et al. (eds.) Encyclopaedia Metropolitana. Mixed Sciences, vol. 3, pp. 1817–1845 (1841)

    Google Scholar 

  2. Airy, G.B.: Tides and waves. In: Encyclopedia Metropolitana, vol. 5, pp. 241–396. London (1845)

    Google Scholar 

  3. Brown, E.W.: Tables of the Morion of the Moon. Yale University Press, New Haven (1919)

    Google Scholar 

  4. Chazallon, M.: Annuaire des marées des cotes de France. Dépot des Cartes et Plans, Paris (1839)

    Google Scholar 

  5. Darwin, G.H.: Report on the harmonic analysis of tidal observations. Brit. Assoc. Rep, pp. 49–117 (1883)

    Google Scholar 

  6. Darwin, G.W.: On the figure of equilibrium of a planet of heterogeneous density. Proc. R. Soc. Lond. 1(36), 158–166 (1883)

    Google Scholar 

  7. Darwin, G.: On tidal prediction. Proc. R. Soc. Lond. 49, 130–133 (1890)

    Article  Google Scholar 

  8. Darwin, G.H.: The harmonic analysis of tidal observations. In: Scientific Papers, vol. 1, pp. 1–70. Cambridge University Press, Cambridge (1907)

    Google Scholar 

  9. Doodson, A.T.: Harmonic development of the tide-generating potential. Proc. R. Soc. Lond. Ser. A 100, 305–329 (1921)

    Article  ADS  Google Scholar 

  10. Hansen, W.: The Reproduction of the Motion in the Sea by Means of Hydrodynamical Numerical Methods. Pub. N∘5, pp. 1–57. Mitteilung Inst. Meereskunde, Univ. Hamburg, Hamburg (1966)

    Google Scholar 

  11. Hartmann, T., Wenzel, H.G.: The HW95 tidal potential catalogue. Geophys. Res. Lett. 22(24), 3553–3556 (1995)

    Article  ADS  Google Scholar 

  12. Laplace, P.S.: Mémoire sur le flux et le reflux de la mer. Mém. Acad. Sci., pp. 45–181 (1790)

    Google Scholar 

  13. Laplace, P.S.: Traité de mécanique céleste, vol. 2, livre 4 (1799); vol. 5, livre 13 (1825)

    Google Scholar 

  14. Le Provost, C., Genco, M.L., Lyard, F., Canceil, P.: Spectroscopy of the world ocean tides from a finite element hydrodynamic model. J. Geophys. Res. 99(C12), 24777–24797 (1994)

    Article  ADS  Google Scholar 

  15. Lubbock, J.W.: On the tides. Philos. Trans. R. Soc. Lond. 127, 97–104 (1837)

    Article  Google Scholar 

  16. Marchuk, G.I., Kagan, B.A.: Dynamics of Ocean Tides. Kluwer, Dordrecht (1989), 327 pp

    Book  Google Scholar 

  17. Mazzega, P.: The M2 ocean tide recovered from seasat altimetry in the Indian ocean. Nature 302, 514–516 (1983)

    Article  ADS  Google Scholar 

  18. Melchior, P.: The Tides of the Planet Earth, 2nd edn. Pergamon, Elmsford (1982), 641 pp

    Google Scholar 

  19. Munk, W.H., Cartwright, D.E.: Tidal spectroscopy and prediction. Philos. Trans. R. Soc. Lond. A 259, 533–581 (1966)

    Article  ADS  Google Scholar 

  20. Munk, W.H., MacDonald, G.J.F.: The Rotation of the Earth—A Geophysical Discussion. Cambridge University Press, Cambridge (1960), 323 pp

    Google Scholar 

  21. Newton, S.I.: Principia. University of California Press, Berkeley (1687)

    Google Scholar 

  22. Schuremann, P.: Manual of harmonic analysis and prediction of tides (1971); U.S. Coast and Geodetic Survey (1971)

    Google Scholar 

  23. Thomson, W.: On gravitational oscillations of rotating water. Proc. R. Soc. Edinb. 10, 92–100 (1879)

    MATH  Google Scholar 

  24. Whewell, W.: Researches on the Tides, 14th series. On the Results of Continued Tide Observations at Several Places on the British Coasts, pp. 227–233

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. 19, rue du port, Portsall, 29830, Ploudalmézeau, France

    Bernard Simon

  2. naXys, University of Namur, 8, Rempart de la Vierge, 5000, Namur, Belgium

    Anne Lemaitre

  3. SYRTE, UMR8630 CNRS, Observatoire de Paris, 61, av. de l’Observatoire, 75014, Paris, France

    Jean Souchay

Authors
  1. Bernard Simon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anne Lemaitre
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jean Souchay
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bernard Simon .

Editor information

Editors and Affiliations

  1. Dépt. Astronomie Fondamental, Observatoire de Paris, avenue de l Observatoire 61, Paris, 75014, France

    Jean Souchay

  2. IRFU/SAP Centre de Saclay, Laboratoire AIM Paris Saclay Diderot, Bat. 709, Gif-sur-Yvette, 91191, France

    Stéphane Mathis

  3. University of Cambridge, Trinity Hall, Cambridge, CB2 1TJ, United Kingdom

    Tadashi Tokieda

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Simon, B., Lemaitre, A., Souchay, J. (2013). Oceanic Tides. In: Souchay, J., Mathis, S., Tokieda, T. (eds) Tides in Astronomy and Astrophysics. Lecture Notes in Physics, vol 861. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32961-6_3

Download citation

Publish with us

Policies and ethics

Search

Navigation