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The '''Rossby parameter''' (or simply beta <math>\beta</math>) is a number used in [[geophysics]] and [[meteorology]] which arises due to the meridional variation of the [[Coriolis force]] caused by the spherical shape of the Earth. It is important in the generation of [[Rossby wave]]s.
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The Rossby parameter <math>\beta</math> is given by the equation:
 
 
:<math>\beta = \frac{\partial f}{\partial y} = \frac{1}{a} \frac{d}{d\phi}  (2 \omega sin\phi) = \frac{2\omega cos\phi}{a} </math><ref>[http://amsglossary.allenpress.com/glossary/search?id=rossby-parameter1 Glossary of Meteorology], American Meteorological Society.</ref><ref>[http://mesolab.meas.ncsu.edu/~linyl/mea713/Ch1_Note.doc Lecture Notes] for Atmospheric Science Mesoscale Dynamics (MEA 713).  [[North Carolina State University]].  Accessed 14 July 2007.</ref>
 
 
Where <math>\phi</math> is the latitude, <math>\omega</math> is the angular speed of the Earth's rotation, and '''a''' is the mean radius of the Earth.
 
Although both involve Coriolis effects, the Rossby parameter describes the ''variation'' of the effects with latitude (hence the latitudinal [[derivative]]), and should not be confused with the [[Rossby number]].
 
 
==References==
<references/>
{{climate-stub}}
 
[[Category:Atmospheric dynamics]]

Latest revision as of 15:30, 2 December 2014

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