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SOLAR GEOMETRY · COOPER 1969 · NOAA METHODOLOGY

Sun zone tool

Pick a reference city or enter your latitude. The tool returns peak sun elevation at the winter and summer solstice, day length across the year, and the louvre tilt that geometrically blocks direct noon sun for a 195 × 100 mm bioclimatic louvre profile. Use it for pergola siting, RAL palette decisions linked to summer heat load, and louvre automation thresholds.

EWSwinter · 14°summer · 61°
Europe · 29 cities

Range −60 to 70. Use a positive value for the Northern hemisphere.

Site sun profile · Berlin
Summer solstice noon
60.9°
highest noon sun
Winter solstice noon
14.0°
lowest noon sun
Longest day
16.6 h
Shortest day
7.4 h
Louvre tilt for full shade at noon
winter
76°
spring
53°
summer
29°
autumn
54°
0° = louvres horizontal (open). 115° = louvres fully closed (rain-tight). Values shown are the minimum tilt that geometrically blocks direct noon sun for a 195 × 100 mm louvre profile.
Recommended pergola orientation
South
Northern temperate latitude — sun is always to the south of zenith. Pergola opens south for max winter sun, closed in summer for shade.
Monthly noon sun + day length
MonthNoon elevationDay lengthLouvre tilt at noon
Jan16.2°7.9 h74°
Feb24.2°9.6 h66°
Mar34.7°11.5 h55°
Apr46.9°13.7 h43°
May56.3°15.5 h34°
Jun60.8°16.6 h29°
Jul59.0°16.1 h31°
Aug51.3°14.5 h39°
Sep39.7°12.4 h50°
Oct27.9°10.3 h62°
Nov18.3°8.4 h72°
Dec14.1°7.4 h76°

METHOD

Solar declination follows Cooper 1969: δ = 23.45° × sin(360°/365 × (n + 284)) where n = day of year. Solar elevation at noon: α = 90° − |φ − δ| where φ = latitude. Day length follows from the sunrise hour angle H₀ = arccos(−tan φ × tan δ). The recommended louvre tilt is the minimum angle that blocks direct noon irradiation given the louvre depth-to-spacing ratio; a 195 × 100 mm Luxa Sereno profile achieves full noon shade for any sun elevation.

Outputs are computed values for clear-sky geometry, ignoring atmospheric refraction (≤ 0.5° near horizon) and local terrain. For thermal comfort modelling under variable cloud cover, combine these geometric values with regional irradiance data (PVGIS, Meteonorm).