On the kinematic properties of the —3 law for kinetic energy

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It is shown that if the kinetic energy follows a —3 power law in terms of the two-dimensional index n then it will follow the same power law in term of the zonal wave number l and the north-south wave number j. The effects of truncation of representations on these power laws are documented to aid in the interpretation of data analyses and model results.DOI: 10.1111/j.2153-3490.1979.tb00930.x
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