Sundial Calculator

Vertical declining sundial — polar-aligned gnomon with substyle rotation

Location
Selected: Vienna
Wall Orientation
NSEWEW
N 0°E 90°S 180°W 270°N 360°

The direction the wall faces outward. South = 180°, North = 0°.

Wall normal: 180.0° (due south)
Dial Face
Gnomon Type
Key principle:
The gnomon must point to the celestial pole. On a declining wall its base rotates 0.0° from vertical.
789101112 NOON131415161718
━ Noon line╌ Substyle (gnomon base)
Style height: 41.79° · Substyle: 0.00° from vertical · Long. corr: +5.5 min
DOWNLOAD FREE DRAWINGS
2-page A4 PDF. Hand-paint reference; printable on any consumer printer.
Order the full printable PDF kit, optionally bundled with the 3D-printed alignment jig and the SVG cut file.
Algorithm
φ=48.2082° · d=0.00° · TZ=UTC+1
sin(SH) = cos(d)·cos(φ) → SH = 41.79°
tan(SD) = sin(d)/tan(φ) → SD = 0.00°
tan(Hsub) = sin(SH)·tan(t − DL) [substyle-relative method]
Long. correction = 5.5 min