Shadow & Solar Analysis Calculators

Shadow length and sun exposure shift with season and latitude — this tool estimates shading, sun position, and daylight hours for a given site.

Units
Location & Time
Positive = N, negative = S
Set to your local timezone offset including DST
Solar Azimuth
–
° from North
Solar Declination
–
°
Hour Angle
–
°
Solar Noon
–
local time
Sunrise
–
local time
Sunset
–
local time
Sun Status
–
Monthly Solar Summary
MonthSunriseSunsetDaylengthSolar Noon Altitude
NOAA Solar Position Algorithm (Meeus 1998 simplified): Declination δ = 23.45°×sin(360/365×(day−81)). Hour angle H = 15°×(localSolarTime−12). Altitude = asin(sin(lat)sin(δ)+cos(lat)cos(δ)cos(H)). Azimuth derived from spherical trigonometry, measured clockwise from North.
Units
Object & Sun Geometry
Auto from Tab 1 or enter manually
Auto from Tab 1 or enter manually
Positive = ground slopes toward the sun (reduces shadow)
For overlap check across a row
Slope-Corrected Length
–
m
Shadow Direction
–
° from North
X Offset (East-West)
–
m
Y Offset (North-South)
–
m
Shadow Area (elliptical approx.)
–
m²
Overlap Check
Shadow length L = height / tan(altitude). If altitude ≤ 0°, shadow is infinite (sun below horizon — no shadow cast in normal sense). Slope correction: L_slope = L × cos(slope)/cos(altitude-slope) approximated for slopes facing the sun.
Units
Pergola Geometry
Assessment Time
Auto from Tab 1
Auto from Tab 1
Floor Area
–
m²
% Shaded at 09:00
–
%
% Shaded at 15:00
–
%
Slat Shadow Ratio
–
ratio
Annual Shaded Hours (est.)
–
hrs/yr
Glare Reduction Estimate
Hourly Shadow Profile
TimeSolar AltitudeSolar Azimuth% Floor Shaded
Slat shadow projects onto the floor based on solar altitude and the angle between rafter direction and solar azimuth. % shaded = slat_width / (slat_width + gap) when sun is perpendicular to rafters; reduces toward 0% when sun is parallel to rafters. CIBSE AM11 recommends 50–70% shading for comfortable outdoor seating in summer.
Units
Tree Specification
Auto from Tab 1
Auto from Tab 1
Growth Projection
Shadow Length — Current
–
m
Shadow Area — Current
–
m²
Canopy Spread — Target Year
–
m
% Ground Shaded — Current (noon)
–
%
% Ground Shaded — Target (noon)
–
%
Neighbouring Property Encroachment
–
m
Growth Status
Shadow length and canopy area are projected based on linear annual growth rates until canopy spread reaches a typical mature maximum. Consider seasonal variation: this projection uses the entered solar altitude (typically representative of a single assessment date — repeat for summer/winter solstice for full annual picture).
Units
Site Orientation
Direction the main facade faces
Auto from Tab 1
Obstructions
Hours Unobstructed — Summer Solstice
–
hrs
Hours Unobstructed — Equinox
–
hrs
Vertical Sky Component (VSC) Estimate
–
%
BRE 209 No-Sky Line Assessment
BRE 209 (2022) Site Layout Planning for Daylight and Sunlight: gardens and amenity spaces should receive at least 2 hours of sunlight on 21 March (equinox) to at least 50% of their area, ideally more. VSC <27% may indicate insufficient daylight to a window. This tool provides an indicative obstruction analysis — full assessments require 3D modelling software.
Units
Location & Date
Auto from Tab 1
Sunrise
–
local time
Sunset
–
local time
Solar Noon
–
local time
Peak Solar Altitude
–
°
Civil Twilight Dawn
–
local time
Civil Twilight Dusk
–
local time
Golden Hour Duration
–
min
Summer Solstice
–
Equinox
–
Winter Solstice
–
Annual Daylength Summary
MonthSunriseSunsetDaylengthPeak Altitude
Twilight angles: civil (0–6° below horizon, enough light for outdoor activity), nautical (6–12°, horizon visible at sea), astronomical (12–18°, full darkness for astronomy). Golden hour ≈ period when solar altitude is between 0° and 6°, producing warm directional light favoured for photography and landscape lighting design.

How to Work Out Sun Position, Shadow Length, and Shading Requirements by Hand

Understanding how the sun moves across a site through the seasons, and how to calculate the shadows and shading that result, is one of the more genuinely rewarding pieces of landscape science to learn, because the underlying geometry is consistent and predictable everywhere on earth, even if the specific numbers change with latitude and season. This guide walks through the core reasoning.

Why the sun’s path changes so much between winter and summer

The sun’s height above the horizon at any given time of day depends on latitude, season, and time of day working together, and the practical consequence for design purposes is that the sun sits noticeably lower in the sky throughout the day during winter than during summer at the same location, which is exactly why winter shadows are so much longer than summer shadows cast by the very same object. At the winter solstice, the shortest day of the year in the northern hemisphere, the sun reaches its lowest maximum height above the horizon of the entire year, producing the longest shadows a site will experience at any point in the annual cycle, which is precisely why winter solstice conditions are the reference point designers use when checking whether a space will receive adequate winter sun.

How shadow length is actually calculated

Shadow length from a vertical object such as a building, wall, or tree trunk is calculated from the object’s height and the sun’s current angle above the horizon, using a simple trigonometric relationship where shadow length equals object height divided by the tangent of the sun’s altitude angle, meaning a lower sun angle, mathematically corresponding to a smaller altitude angle and therefore a smaller tangent value, produces a proportionally longer shadow for the exact same object height. This is why a modest two-storey building can cast a shadow reaching many times its own height across an adjacent courtyard during the depths of winter, even though the same building’s shadow barely reaches beyond its own footprint at the height of summer, and understanding this relationship lets a designer check, well before construction, exactly which parts of an adjacent outdoor space will fall inside or outside a building’s winter shadow at different times of day.

Why trees behave completely differently to buildings in this calculation

A deciduous tree’s shadow behaves in a genuinely useful way that a building’s shadow cannot replicate, because its shading effect changes dramatically between seasons entirely independent of the sun’s own seasonal movement, casting a light, minimal shadow through winter while bare of leaves, precisely the season when a design typically wants to preserve access to low winter sun, and then developing a substantially denser, more effective shadow once fully in leaf through summer, precisely the season when shade is genuinely wanted. This seasonal self-adjustment is exactly why deciduous trees are such a consistently favoured design tool for seating areas and courtyards that need to welcome low winter sun while still providing effective shade during hot summer conditions, an outcome a fixed structure alone cannot achieve without some form of adjustable or seasonal shading device.

Sizing an overhead structure for a target shading percentage

Pergolas, louvre structures, and similar overhead elements are generally sized around a target shading percentage rather than complete shade, since a genuinely comfortable outdoor seating area in summer conditions typically wants somewhere in the region of fifty to seventy percent shading coverage, a benchmark consistent with guidance published by the Chartered Institution of Building Services Engineers, rather than either full, unbroken shade or no shade at all, and this target percentage translates directly into decisions about louvre spacing or slat width relative to the gaps between them, since a wider gap relative to slat width naturally produces a lower overall shading percentage and a narrower gap produces a higher one.

Estimating usable daylight hours through the year

Total daylight hours at a given location vary through the year in a pattern that mirrors the sun’s changing altitude discussed above, with meaningfully shorter days around the winter solstice and meaningfully longer days around the summer solstice, and this seasonal daylight variation is worth checking explicitly for any outdoor space intended for year-round use, since a space that feels perfectly well lit during a long summer evening may need supplementary lighting considered far earlier in the evening during winter months, a genuinely useful thing to establish at design stage rather than discover after the space is already built and in use.

Disclaimer

The information and any results referenced on this page are provided for general educational and design exploration purposes only, using simplified solar geometry and general reference benchmarks including CIBSE AM11. This content does not account for site-specific obstructions, atmospheric conditions, or precise geographic and topographic data the way specialist solar modelling software does. For planning applications, daylight and sunlight rights assessments, or formal overshadowing reports, consult a qualified daylight and sunlight consultant.