Planetary Waves Over the Rotating Earth.

Abstract

An asymptotic method is developed for the study of planetary waves in the atmosphere or ocean of variable depth over the rotating earth. An asymptotic solution involving a phase function and an amplitude function is constructed. The phase function satisfies the Hamilton-Jacobi equation and the amplitude function is determined by a conservation relation along each of a family of rays over a unit sphere. Application of the method to wave resonance in a liquid layer on a rotating spherical earth is considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1974
Accession Number
AD0787733

Entities

People

  • Meichang Shen

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Atmospheres
  • Equations
  • Intensity
  • Resonance

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Space Exploration and Orbital Mechanics.