Accession Number : ADA000478

Title :   Geostrophic Vortices on a Circle of Latitude in a Cap on a Rotating Sphere.

Descriptive Note : Technical rept.,

Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Peters,A. S.

Report Date : JUL 1974

Pagination or Media Count : 48

Abstract : 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. (Author)

Descriptors :   *ATMOSPHERIC MOTION, *VORTICES, APPROXIMATION(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, CORIOLIS EFFECT.

Subject Categories : ATMOSPHERIC PHYSICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE

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