Tropospheric - Stratospheric Tidal Investigations. Notes on Obtaining the Eigenvalues of Laplace's Tidal Equation.

Abstract

A review is undertaken of the various forms that have been obtained for the recurrence relation from which the eigenvalues of Laplace's tidal equation may be obtained. Such forms are shown to be analytically consistent and are discussed in relation to their subsequent numerical evaluation. By determining eigenvalues of equivalent depth for a given frequency of oscillation instead of the other way around the problem becomes a straightforward one of matrix diagonalization. If solutions are based on normalized Legendre polynomials the matrix is symmetric. A method of evaluating the related wind functions is described. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1979
Accession Number
ADA092630

Entities

People

  • Gerald V. Groves

Organizations

  • University College London

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Atmospheres
  • Coefficients
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Equations Of Motion
  • Frequency
  • Geophysics
  • Iterations
  • New York
  • Numerical Analysis
  • Oscillation
  • Physics
  • Polynomials
  • United States
  • Universities

Readers

  • Approximation Theory.
  • Coastal Oceanography
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Space