Year 2008

Sundial of the month July

Homogeneous analemmatic sundial
with pole style

We examined the homogeneous analemmatic sundial with vertical gnomon in “Sundial of the Month” for June 2008.
As we will show, we can also construct this sundial using a pole style.

The ellipse of an analemmatic sundial is the result of the vertical projection of the equator onto the ground. See Figure 1.

zw-08-07-01.gif
Figuur 1

When we project along the polar axis, or the pole style, we get another ellipse.
The ratio of the major and minor axes is the same for both ellipses.
However, the major axis of the pole style ellipse is directed north-south.
The moving centre disk of the homogeneous analemmatic sundial now moves east-west.

In Figure 2, we see a version of this sundial in plastic.

zw-08-07-02.jpg
Figuur 2

The blue disk is turned such that the shadow of the pole style falls over the red dot, marked in the right photograph with a red circle.
One then reads the time on the homogeneous hour scale on the spot marked with the red square.
The inner yellow disk moves along an east-west line when the sundial is operated.

Because the sundial is homogeneous, it may be adjusted for longitude. For that purpose, all time zones (and some “summer time zones”) are marked on the bottom. See Figure 3.
There is also a longitude scale.
When the geographical longitude of the place of interest is turned to the correct time zone, the sundial indicates civil time there.
The sundial does not adjust for equation of time.

zw-08-07-03.jpg
Figuur 3

Download small Quicktime film (2 MB)

Hendrik Hollander.

Literature:
H.J. Hollander, Homogene analemmatische zonnewijzer, bulletin of De Zonnewijzerkring, 08-02, May 2008.
H.J. Hollander, Homogeneous analemmatic sundial, Compendium vol. 15, nr. 2, June 2008.

Some relevant equations:
t = hour angle
R = D + C (R is the scale factor for the sundials)
D = R * sin phi
C = R - R * sin (phi) = distance between plugs
decl = declination of the sun
phi = latitude of the intended sundial location
A = translation parallel to the minor axis of the ellipse
B = translation parallel to the major axis of the ellipse
Place shadow point (over which the pols style shadow should fall) a distance R from the centre.
The style origin is in the plane of the hour scale.
Translation of the centre disk: A = C * sin (t)
Place the gnomon a distance R from the centre.

English translation: RH