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9 - Gravitational Effects

Published online by Cambridge University Press:  15 July 2019

Bernard Roberts
Bernard Roberts
Affiliation:
University of St Andrews, Scotland
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Summary

The effect of gravity is investigated in this chapter and the importance of the Klein-Gordon equation is demonstrated. The Klein-Gordon equation is solved for impulsive initial conditions and the phenomenon of an oscillating wake demonstrated. Cutoff frequency is determined. Waves in a stratified incompressible medium with a horizontal magnetic field are examined, leading to the Rayleigh-Taylor dispersion relation. The compressible case is related to the topic of magnetic helioseismology. Waves in a vertical magnetic field are also discussed. For this case, the slow mode dispersion relation is obtained and exhibits a cutoff frequency.

Keywords

gravitystratificationscale heightsKlein-Gordon equationcutoffimpulsive waves
Type
Chapter
Information
MHD Waves in the Solar Atmosphere , pp. 248 - 280
Publisher: Cambridge University Press
Print publication year: 2019

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  • Gravitational Effects
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108613774.010
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  • Gravitational Effects
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108613774.010
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Gravitational Effects
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108613774.010
Available formats
×