The Air Mass is the path length which light takes through the atmosphere normalized to the shortest possible path length (that is, when the sun is directly overhead). The Air Mass quantifies the reduction in the power of light as it passes through the atmosphere and is absorbed by air and dust. The Air Mass is defined as
where q is the angle from the vertical (zenith angle). When the sun is directly overhead, the Air Mass is 1.
For more explanation and calculation, refer to this link
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