Near and far shading: blocked sun hours

One rectangular near object and one far horizon, seen from the array centre point. Counts hours of direct sun hidden, not energy. Geometric sun position in solar time, no refraction, 2026 calendar. Azimuth is clockwise from north (180 is south). A design aid: check with your simulation tool.

Site and date

Latitude (° N, negative south)

Month

Day of month

Array size, longest side (m)

Near object (a box; height 0 means none)

Bearing from array (°)

Distance to near face (m)

Width across (m)

Depth away from array (m)

Top above array centre (m)

Far horizon: azimuth:elevation, one pair per line or separated by semicolons

Sun-up hours on this date-

Far horizon only (h)-

Near object only (h)-

Both together (h)-

Sum of the two (h)-

Hours counted twice in the sum (h)-

Both together, whole year (h)-

Hours counted twice, whole year (h)-

Distance as a multiple of array size-

Near object: top angle at its near face-