Beta plane: Difference between revisions
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The [[model]], introduced by C. G. Rossby, of the spherical earth as a plane with a rate of rotation ''f'' (corresponding to the [[Coriolis parameter]]) that varies linearly with the north–south direction y: <blockquote>[[File:ams2001glos-Be16.gif|link=|center|ams2001glos-Be16]]</blockquote> <br/>The constant β (the [[Rossby parameter]]) is given its value at a central latitude on the spherical earth, (2Ω cosφ<sub>0</sub>)/''a'', where Ω is the angular speed of the earth and ''a'' its mean radius. Used chiefly in association with the [[vorticity equation]], this [[model]] is usually accompanied by the assumption that the Coriolis parameter is constant, ''f'' = ''f''<sub>0</sub>, when it appears in undifferentiated form. Although it applies precisely to no physical situation, this model has gained wide acceptance in [[dynamic meteorology|dynamic meteorology]]. | |||
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Latest revision as of 22:03, 13 January 2024
The model, introduced by C. G. Rossby, of the spherical earth as a plane with a rate of rotation f (corresponding to the Coriolis parameter) that varies linearly with the north–south direction y:
The constant β (the Rossby parameter) is given its value at a central latitude on the spherical earth, (2Ω cosφ0)/a, where Ω is the angular speed of the earth and a its mean radius. Used chiefly in association with the vorticity equation, this model is usually accompanied by the assumption that the Coriolis parameter is constant, f = f0, when it appears in undifferentiated form. Although it applies precisely to no physical situation, this model has gained wide acceptance in dynamic meteorology.
The constant β (the Rossby parameter) is given its value at a central latitude on the spherical earth, (2Ω cosφ0)/a, where Ω is the angular speed of the earth and a its mean radius. Used chiefly in association with the vorticity equation, this model is usually accompanied by the assumption that the Coriolis parameter is constant, f = f0, when it appears in undifferentiated form. Although it applies precisely to no physical situation, this model has gained wide acceptance in dynamic meteorology.
