How to calculate grid convergence (True North to Grid North)?

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I would like to know how to calculate the grid convergence angle between True North and Grid North for UTM maps.

I am using ArcGIS 10.0 (ArcView licence) and have used the Calculate Grid Convergence Angle tool from the Cartography toolbox; however, I would like to know how to calculate this angle myself (using Excel) to compare against the ArcGIS result.

Also, is there a standalone program or script that could be shared?



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