Geostrophic Vortices on a Circle of Latitude in a Cap on a Rotating Sphere

This report contains an analysis of the linear stability of the motion of n+l geostrophic vortices confined in a polar cap on a rotating sphere. It is supposed that initially one vortex is at the north pole while the others are symmetrically arranged on a circle of latitude; and that the motion is s...

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Bibliographic Details
Main Author: Peters, A S
Other Authors: NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
Format: Text
Language:English
Published: 1974
Subjects:
Atmospheric Physics
*ATMOSPHERIC MOTION
*VORTICES
APPROXIMATION(MATHEMATICS)
CORIOLIS EFFECT
PARTIAL DIFFERENTIAL EQUATIONS
*Geostrophic flow
North Pole
Online Access:http://www.dtic.mil/docs/citations/ADA000478
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA000478
Description
Summary:This report contains an analysis of the linear stability of the motion of n+l geostrophic vortices confined in a polar cap on a rotating sphere. It is supposed that initially one vortex is at the north pole while the others are symmetrically arranged on a circle of latitude; and that the motion is subject to a certain condition along the latitude circle which bounds the cap. The development stems from the demonstration that a concentrated geostrophic vortex in a rotating spherical layer is characterized by a singular spherical harmonic of degree nu and order zero. This function has a role analogous to that of the Bessel function which characterizes a rectilinear geostrophic vortex in a rotating planar layer.

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