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Height of eye – DAVIS Mark 3 Sextant User Manual

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To measure the sun’s altitude, stand facing the sun with the sextant in your right

hand. With your left hand on the index arm, look through the eye piece at the hori-

zon and move the index arm until the sun is visible through the two mirrors and

index shades. Rock the entire sextant from side to side so that the sun’s image

travels in a half-arc. Now, adjust the index arm to bring the sun’s image down to

just touch the horizon (Fig. 7).

Being careful not to disturb the setting, read the sun’s altitude from the scales on

the sextant. Since all calculations in the Navigation Tables use the center of the

sun or moon, this lower limb reading must be adjusted for semi-diameter correc-

tion, shown later.

HEIGHT OF EYE

When measuring the altitude of the sun, we want to measure the angle formed by

a ray from the sun and a plane tangent to the earth at the point where the observ-

er is standing. Due to the height of the eye of the observer, however, the visible

horizon actually falls below this theoretical plane (Fig. 8).

Figure 7

Figure 8

The sun’s image travels

in a short arc which just

touches the horizon.

Due to the height of the eye of the observer, the

visible horizon (H) falls below the plane (P) tan-

gent to the earth at the point where the observer

is standing.

To correct for the height of

the eye, one must apply a

“dip correction.” Dip correc-

tion increases as the eye is

raised further above the sur-

face of the water (Table 1)

and must always be subtract-

ed from the sextant reading.

Table 1

Height of Eye Correction

Feet

Meters

Dip

5

1.5

2'

10

3.0

3'

15

4.5

4'

25

7.5

5'

40

12.0 6'