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arXiv · 1911.00664

Representation of equatorial waves by a single scalar field and the effect of the horizontal component of the Earth's rotation

Dennis Wilson Moore
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Abstract

A new representation for equatorial waves in terms of a single scalar field is used to demonstrate the influence of the (usually neglected) horizontal component of the earth's rotation vector $\boldsymbol{\vec\Omega}$ on the dispersion of the waves. It is shown that, in the case of constant Brunt-V\"ais\"al\"a frequency $N$, the dispersion relation is unaltered when the horizontal component of $\boldsymbol{\vec\Omega}$ is included.

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Dennis Wilson Moore. 2019-11-02. Representation of equatorial waves by a single scalar field and the effect of the horizontal component of the Earth's rotation. https://arxiv.org/abs/1911.00664

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