The Probability of Clear Lines of Sight Through a Cloudy Atmosphere

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  • 1 The University of Michigan, Ann Arbor
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Abstract

A statistical model has been developed which predicts the probability of observing a clear line of sight through a cloud scene. The basic model is
PθPk22θ&frac12
where θ is the viewing angle measured from the vertical, P(0) the probability of observing a clear vertical line of sight through the cloud scene, and k the “buildup” parameter, roughly the ratio of the heights to the diameters of the clouds in the scene. For cumulus clouds, k may range from 0.6 to 1.5.

This model is applicable to more than one type of cloud cover and has a minimum of parameters. However, it has not yet been adequately tested.

Abstract

A statistical model has been developed which predicts the probability of observing a clear line of sight through a cloud scene. The basic model is
PθPk22θ&frac12
where θ is the viewing angle measured from the vertical, P(0) the probability of observing a clear vertical line of sight through the cloud scene, and k the “buildup” parameter, roughly the ratio of the heights to the diameters of the clouds in the scene. For cumulus clouds, k may range from 0.6 to 1.5.

This model is applicable to more than one type of cloud cover and has a minimum of parameters. However, it has not yet been adequately tested.

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