I am trying to locate an obscure reference cited in Bowditch’s _American
Practical Navigator: An Epitome of Navigation_ (p. 423, 1958 edition;
vol. II, p. 546, 1977/81 edition) to a study performed by the Carnegie
Institute of Washington on refraction in the terrestrial atmosphere.

As is well known the terrestrial atmosphere affects the paths of light
rays near the horizon, causing the observed horizon to be slightly lower
than the geometrical horizon.

The small angle between both horizons is known as the 'dip', and can be
approximated by the following relation found in almost any astronomical
or navigational handbook:

  dip (minutes of arc) = 0.97 sqrt(h[ft])

with 'h' denoting the height of the observer’s eye above sea level in
feet.

The constant in the above relation depends on the local atmospheric
conditions and the quoted value applies to average weather conditions.
The studies by the Carnegie Institute appear to have been made to verify
how well this relation stands up to varying weather conditions and how
large the deviations can be in extreme cases.

I would be most grateful if someone on this list can provide me with a
more complete reference.

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