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 NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

• Peters, A. S.

Report Date:

1974-07-01

Pagination or Media Count:

49.0

Abstract:

This report contains an analysis of the linear stability of the motion of nl 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.

Descriptors:

• *ATMOSPHERIC MOTION
• *VORTICES
• APPROXIMATION(MATHEMATICS)
• CORIOLIS EFFECT
• PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories:

• Atmospheric Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE