Variations on a beta-plane: derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere
Starting from Hamilton's principle on a rotating sphere, we derive a series of successively more accurate β-plane approximations. These are Cartesian approximations to motion in spherical geometry that capture the change with latitude of the angle between the rotation vector and the local verti...
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Format: | Journal article |
Language: | English |
Published: |
2011
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