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Calculations for Penn Wood
Analemmatic Sundial
These calculations are based on
Standard Time. The sundial will be set to Daylight Savings Time.
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COMPUTATION OF CENTRAL ANGLE FOR AN ANALEMMATIC DIAL |
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NO CORRECTION MADE FOR LONGITUDE |
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STANDARD |
LOCAL |
LATITUDE |
SEMI-MAJOR |
SEMI-MINOR |
SEMI-MINOR |
TIME |
TIME |
TIME |
HOUR |
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W= |
CENTRAL |
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CENTRAL |
DISTANCE |
DISTANCE |
DISTANCE |
DISTANCE |
DISTANCE |
DISTANCE |
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MERIDIAN |
MERIDIAN |
ø |
AXIS |
AXIS |
AXIS |
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ANGLE - h |
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TAN(h)/ |
ANGLE-A |
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ANGLE |
X |
Y |
Z |
X |
Y |
Z |
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DEGREES |
DEGREES |
DEGREES |
ACTUAL |
SIN(ø) |
ACTUAL |
A.M. |
P.M. |
T24 |
DEGREES |
TAN(h) |
SIN(ø) |
ATAN(W) |
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MINUTES |
SIN(h) |
SIN(ø)*COS(h) |
X/SIN(A) |
ACTUAL |
ACTUAL |
ACTUAL |
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39.95 |
2.00 |
0.64 |
1.28 |
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0.50 |
12.00 |
0.00 |
0.00 |
0.00 |
0.00 |
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0.00 |
0.64 |
0.64 |
0.00 |
1.28 |
1.28 |
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0.49 |
0.51 |
12.25 |
3.75 |
0.07 |
0.10 |
5.83 |
5.00 |
0.83 |
49.67 |
0.07 |
0.64 |
0.64 |
0.13 |
1.28 |
1.29 |
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Latitude entry is required. |
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0.48 |
0.52 |
12.50 |
7.50 |
0.13 |
0.21 |
11.59 |
11.00 |
0.59 |
35.15 |
0.13 |
0.64 |
0.65 |
0.26 |
1.27 |
1.30 |
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Semi -major axis entry is required. |
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0.47 |
0.53 |
12.75 |
11.25 |
0.20 |
0.31 |
17.21 |
17.00 |
0.21 |
12.63 |
0.20 |
0.63 |
0.66 |
0.39 |
1.26 |
1.32 |
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0.46 |
0.04 |
13.00 |
15.00 |
0.27 |
0.42 |
22.65 |
22.00 |
0.65 |
38.93 |
0.26 |
0.62 |
0.67 |
0.52 |
1.24 |
1.34 |
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The semi-major-axis entry can be in any units. |
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0.45 |
0.05 |
13.25 |
18.75 |
0.34 |
0.53 |
27.86 |
27.00 |
0.86 |
51.68 |
0.32 |
0.61 |
0.69 |
0.64 |
1.22 |
1.38 |
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0.44 |
0.06 |
13.50 |
22.50 |
0.41 |
0.65 |
32.82 |
32.00 |
0.82 |
49.39 |
0.38 |
0.59 |
0.71 |
0.77 |
1.19 |
1.41 |
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0.43 |
0.07 |
13.75 |
26.25 |
0.49 |
0.77 |
37.52 |
37.00 |
0.52 |
31.33 |
0.44 |
0.58 |
0.73 |
0.88 |
1.15 |
1.45 |
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0.42 |
0.08 |
14.00 |
30.00 |
0.58 |
0.90 |
41.96 |
41.00 |
0.96 |
57.47 |
0.50 |
0.56 |
0.75 |
1.00 |
1.11 |
1.50 |
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0.41 |
0.09 |
14.25 |
33.75 |
0.67 |
1.04 |
46.14 |
46.00 |
0.14 |
8.24 |
0.56 |
0.53 |
0.77 |
1.11 |
1.07 |
1.54 |
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0.40 |
0.10 |
14.50 |
37.50 |
0.77 |
1.19 |
50.07 |
50.00 |
0.07 |
4.48 |
0.61 |
0.51 |
0.79 |
1.22 |
1.02 |
1.59 |
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0.39 |
0.11 |
14.75 |
41.25 |
0.88 |
1.37 |
53.79 |
53.00 |
0.79 |
47.20 |
0.66 |
0.48 |
0.82 |
1.32 |
0.97 |
1.63 |
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0.38 |
0.13 |
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