There are values for the real dip and the apparant dip (this is the one we
see).
The apparant dip = 0.92 * real dip

That explains exactly the difference. My formulas were apparently the 'real
dip' formulas which I found in one of my books. 

>>How about the dip angle which is there because your eye is not at ground
>>level and the calculations think you are!
>>
>>Dipangle(in minutes of arc)=1.06*SQRT(ht in feet)
>>Dipangle(in minutes of arc)=1.92*SQRT(ht in meters)
>
>Hi Thibaud
>
>Where did you get these formulae from? I have used for ages another one
>
>dip['] = 1.76 * sqrt( a[m] ) or its older equivalent
>dip['] = 0.97 * sqrt( a[ft] ) 
>
>where a is height of eye and units are given in bracket angles and ' stands
>for minute of arc rather than foot. The formulae include Earth curvature
>and mean terrestrial refraction for
>
>standard pressure 760 mm Hg (1013.2 mb or hP)
>air temp. +10 C
>water temp. +10 C  (guess formulae may be used on land as well)
>
>The result should be corrected for temperatures and pressure if you are
>able to measure those, not that hard after all. "My" formulae are cited in
>manuals of navigation and Alamanachs together with tables and correction
>tables for temperatures and pressure. So where did you get "yours" from?
>
>Regards
>
>Slawek
>
>P.S. The so called terrestrial refraction refers to light rays arriving at
>low altitudes that is close to the horizon. Refraction for high altitudes
>is called astronomical. Physically this is the same phenomenon of bending
>of light rays passing through the atmosphere. Close to the horizon however
>air is "thicker" and influence of ground/sea and temperature differences is
>significant. In special conditions terrestrial refraction enables you to
>see really distant objects, sometimes inverted, and not only at Sahara.
>Both types of refraction have to be taken into account for sextant
>observations where celestial bodies are usually at high altitudes and
>apparent horizon is at low (and negative) altitudes.
>
>Slawek Grzechnik
>32 57.4'N   117 08.8'W
>http://home.san.rr.com/slawek
>
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Thibaud Taudin-Chabot, home email: [EMAIL PROTECTED]
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