- Greenwich today
- sunrise 06:52, solar noon 11:44, sunset 16:37
- Today
- Saturday, 31 October 2026 · ISO week 44 · day 304 of the year
Computed on every visit from the time-zone database and standard astronomical formulas, so these never go stale. The article below is unchanged.
Summer days grow longer the farther north you live because Earth’s 23.4-degree axial tilt causes higher latitudes to spend a greater portion of their daily rotation leaning toward the sun. While daylight near the equator stays close to 12 hours year-round, midsummer daylight stretches to 16 hours 38 minutes at 51° north and reaches 24 continuous hours at the Arctic Circle.
The rest of this guide explains the celestial mechanics behind solstices and equinoxes, includes a daylight comparison table across key latitudes, details how shallow twilight angles affect northern nights, demonstrates the Sunrise Equation for calculating exact day length, and outlines practical impacts on circadian health and energy.
The Celestial Mechanics: How Axial Tilt Shapes Daylight
To understand why daylight hours vary so dramatically by latitude, you must examine how Earth presents itself to the sun throughout its orbit. Earth rotates around an imaginary line connecting the North and South Poles. However, this rotational axis is not perpendicular to Earth’s orbital plane (the ecliptic); it is tilted by approximately 23.44 degrees.
As Earth orbits the sun over 365.25 days, the direction of this axial tilt remains fixed in space (pointing toward Polaris in the Northern Hemisphere). This creates two key astronomical milestones each year:
- June Solstice (around June 21): The Northern Hemisphere tilts directly toward the sun. The solar declination reaches its maximum positive value (+23.44°). The North Pole receives 24 hours of sunlight, while the South Pole is plunged into 24 hours of continuous darkness.
- December Solstice (around December 21): The Northern Hemisphere tilts directly away from the sun. The solar declination reaches its maximum negative value (-23.44°). The North Pole enters polar night, while the South Pole experiences the midnight sun.
- Equinoxes (March 21 and September 23): Neither hemisphere tilts toward or away from the sun. The solar declination is 0°, and every point on Earth experiences roughly 12 hours of daylight and 12 hours of darkness.
Because Earth is a sphere, the geometric horizon cuts through the illuminated half of the planet at varying angles depending on latitude. Near the equator, the plane of rotation cuts almost perpendicular to the day-night divide (the terminator line), keeping daylight constant. At higher latitudes, the rotational path sits at an oblique angle to the terminator, causing huge swings in how long any specific location remains on the sunlit side of Earth during a single 24-hour rotation.
Daylight Hours by Latitude: Solstice Comparison Table
The table below summarizes average potential daylight hours and summer night characteristics across key latitude bands during the June and December solstices. Figures account for atmospheric refraction, which bends light around Earth’s edge and adds roughly 6 to 10 minutes of visible sun above the geometric horizon.

| Latitude | Example Cities | June Solstice Daylight | December Solstice Daylight | Summer Night Characteristic |
|---|---|---|---|---|
| 0° (Equator) | Quito, Singapore, Nairobi | 12h 07m | 12h 07m | Rapid twilight; night falls in ~20 minutes. |
| 23.5° N (Tropic) | Havana, Muscat, Taipei | 13h 35m | 10h 25m | Standard dark nights; brief, warm twilight. |
| 35° N | Tokyo, Los Angeles, Tehran | 14h 31m | 9h 48m | Distinct seasons; complete darkness every night. |
| 40° N | New York, Madrid, Beijing | 15h 01m | 9h 15m | Long summer evenings with extended dusk. |
| 50° N | Frankfurt, Vancouver, Kyiv | 16h 15m | 8h 05m | Bright evenings; twilight lasts past 10:30 PM. |
| 51.5° N | London, Bristol, Astana | 16h 38m | 7h 49m | No true astronomical darkness around midsummer. |
| 60° N | Oslo, Helsinki, Anchorage | 18h 52m | 5h 45m | Constant twilight; true night disappears for weeks. |
| 64° N | Reykjavik, Fairbanks | 21h 08m | 4h 07m | Civil twilight persists across midnight. |
| 66.6° N (Arctic) | Rovaniemi, Murmansk | 24h 00m | 0h 00m | Midnight Sun on solstice; Polar Night in winter. |
| 90° N (North Pole) | Geographic North Pole | 24h 00m | 0h 00m | Sun remains continuously above horizon for 6 months. |
Understanding Twilight: Why Northern Nights Never Get Fully Dark
Daylight does not end the moment the sun dips below the horizon. Atmospheric scattering keeps the sky illuminated during three distinct phases of twilight, defined by how far the sun sits below the horizon:
- Civil Twilight (0° to 6° below horizon): The sun has set, but outdoor activities are easily possible without artificial light. The sky remains bright overhead.
- Nautical Twilight (6° to 12° below horizon): The horizon is still visible at sea, and the brightest stars appear. Ground operations require artificial illumination.
- Astronomical Twilight (12° to 18° below horizon): The sky is faintly illuminated, but faint celestial objects become visible to astronomers. Beyond 18°, full astronomical night begins.
At equatorial latitudes, the sun descends almost vertically into the horizon at an 80° to 90° angle, rushing through all three twilight phases in roughly 70 to 80 minutes. At latitudes higher than 48.5°, the summer sun sets at a shallow, oblique angle. Consequently, the sun may drop only 5° or 10° below the horizon before rising again. Cities like London (51.5° N) experience no true astronomical darkness for several weeks surrounding the June solstice, while St. Petersburg (59.9° N) experiences persistent civil twilight—the famous “White Nights”—where reading outdoors at midnight is possible without lamps.
How to Estimate Daylight Hours for Any Latitude: Worked Example
You can calculate the exact theoretical daylight length for any location using spherical trigonometry. The mathematical relationship governing sunrise and sunset is known as the Sunrise Equation.

The Sunrise Equation
The solar hour angle ($H$), which measures the angle of Earth’s rotation from solar noon to sunrise or sunset, is calculated as follows:
cos(H) = -tan(latitude) × tan(solar declination)
To account for atmospheric refraction (which lifts the sun’s image by about 0.53 degrees) and the solar disc’s semi-diameter (0.266 degrees), professional astronomers adjust the horizon threshold to -0.833 degrees:
cos(H) = [sin(-0.833°) – sin(latitude) × sin(declination)] / [cos(latitude) × cos(declination)]
Once you find $H$ in degrees, divide by 15 to convert to hours, then multiply by 2 to get total daylight hours.
Worked Example: London on the June Solstice
To calculate daylight for London (Latitude 51.5° N) on June 21 (Solar Declination +23.44°):
- Convert angles to trigonometric values:
- sin(51.5°) = 0.7826, cos(51.5°) = 0.6225
- sin(23.44°) = 0.3978, cos(23.44°) = 0.9175
- sin(-0.833°) = -0.0145
- Multiply latitude and declination components:
- sin(51.5°) × sin(23.44°) = 0.7826 × 0.3978 = 0.3113
- cos(51.5°) × cos(23.44°) = 0.6225 × 0.9175 = 0.5711
- Calculate numerator and denominator:
- Numerator: -0.0145 – 0.3113 = -0.3258
- Denominator: 0.5711
- cos(H) = -0.3258 / 0.5711 = -0.5705
- Solve for Hour Angle (H):
- H = arccos(-0.5705) = 124.78 degrees
- Convert to Daylight Hours:
- Half-day length = 124.78 / 15 = 8.3187 hours
- Total daylight = 8.3187 × 2 = 16.637 hours
- 0.637 hours × 60 = 38.2 minutes
- Result: 16 hours and 38 minutes of daylight.
Your own city’s exact numbers—today’s sunrise, sunset, and hours of light—are computed astronomically in the sun times panel at itsdately.com, for any latitude from Quito to Longyearbyen.
Practical Impacts: Health, Architecture, Agriculture, and Energy
The dramatic shift in northern daylight curves influences human biology, civic infrastructure, agriculture, and renewable energy generation.
Human Health & Circadian Rhythms
The clinical term for winter light deficit is Seasonal Affective Disorder (SAD), a form of depression that closely mirrors latitude. Rates of SAD are drastically higher in Scandinavia, Alaska, and Northern the UK than in southern Europe or equatorial regions. The primary clinical intervention is bright light therapy—a 10,000-lux lamp positioned 16 to 24 inches from the face for 30 minutes each morning. This simulates an early dawn, signaling the brain’s suprachiasmatic nucleus to suppress melatonin production and boost serotonin.
Conversely, extreme summer daylight causes high-latitude insomnia and hypomania.
Architectural Adaptation
High-latitude cities design explicitly around sunlight deficits. Buildings in Scandinavian countries prioritize large, south-facing window arrays, light-reflective interior colors, and open courtyard plans to capture low-angle winter sunlight. In Rjukan, Norway—a town nestled deep in a valley where mountains block direct sunlight for five months every winter—engineers installed giant computer-controlled mirrors (heliostats) on the mountainside to reflect direct sunlight down into the town square.
Agriculture and Giant Crops
While northern regions have brief growing seasons, the sheer number of daily daylight hours in summer creates unique agricultural conditions. In Alaska’s Matanuska Valley (61.5° N), farmers use 19 to 20 hours of daily photosynthetically active radiation during midsummer. Plants photosynthesize almost continuously, producing world-record giant vegetables, such as 138-pound cabbages, 65-pound cantaloupes, and 35-pound broccoli heads.
Solar Energy Production
Latitude dictates solar panel installation angles and battery storage sizing:
- Equatorial Arrays: Solar panels lie nearly flat (0° to 15° tilt) and yield stable power output year-round.
- Mid-Latitude Arrays: Panels are tilted at an angle roughly equal to local latitude (e.g., 40° in Madrid) and often require seasonal angle adjustments twice a year.
- High-Latitude Arrays: Solar generation swings wildly between seasons. In Oslo or Anchorage, summer arrays produce massive surges of clean energy due to 18+ hours of sun, but winter power drops by up to 85% to 90%, requiring grid interconnects or large-scale winter battery buffering.
Who High-Latitude Daylight Advice Does Not Suit
While high-latitude daylight strategies—like light box therapy or strict summer blackout routines—are crucial in northern regions, they do not apply universally:

- Equatorial and Tropical Residents: People living between 15° N and 15° S experience near-constant 12-hour days year-round. Seasonal light variation is non-existent, so sleep disruptions in these regions are tied to temperature, humidity, or work patterns rather than solar geometry.
- Individuals with Bipolar Disorder Sensitive to Light: While light boxes relieve unipolar SAD, sudden exposure to bright light boxes or extended summer sunlight can inadvertently trigger manic or hypomanic episodes in individuals with Bipolar I or II disorder. Clinical light exposure must be strictly supervised by a psychiatrist.
- Fixed Solar Power Systems without Seasonal Tracking: Advice tailored to mid-latitude solar panel angles fails in polar climates, where vertical wall-mounted panels often outperform roof panels in winter by capturing sunlight reflected off fresh ground snow (albedo effect).
Sources: Daylight saving time
Frequently asked questions
Why are equatorial days slightly longer than 12 hours?
Even on the equator during an equinox, daylight lasts roughly 12 hours and 7 minutes rather than exactly 12 hours. This happens for two reasons: Earth’s atmosphere refracts (bends) sunlight over the horizon before the sun physically climbs above it, and daylight is measured from the moment the upper edge (limb) of the sun appears until the upper edge fully sinks below the horizon, rather than from the sun’s center point.
Why is the hottest day of the year not on the summer solstice?
This delay is known as seasonal lag. Although the northern hemisphere receives maximum solar radiation on the June solstice, oceans, soil, and atmosphere absorb heat gradually and continue warming for several weeks. As a result, peak summer temperatures usually occur in late July or early August in mid-to-high latitudes.
How does altitude affect daylight length?
Higher elevations expand your visual horizon, delaying sunset and advancing sunrise. If you stand atop a mountain or in a high-rise building, you can see the sun over the curvature of the Earth longer than someone standing at sea level directly below you. Every 1,000 meters of elevation adds approximately 2 to 3 minutes of daylight at sunrise and sunset.
Why do prayer apps and calendars disagree on high-latitude times?
In regions above 48° N or S during midsummer, true night never occurs because astronomical twilight lasts all night. Because traditional twilight definitions fail, Islamic scholars and calculation authorities use different conventions (such as the nearest moderate latitude, angle-based estimation, or middle-of-the-night rule) to determine dawn and nightfall times.
Where can I compute exact daylight times for my city?
You can calculate exact sunrise, sunset, solar noon, and twilight durations for any coordinate on Earth using astronomical tools, such as the sun times calculator on itsdately.com or official solar databases published by astronomical observatories.
Related on itsdately: How Long Is a Day on Other Planets? · Why Are There 60 Seconds in a Minute? Blame Babylon · What Is an Equinox? The Two Days the Sun Crosses the Equator
Further reading: U.S. Naval Observatory Astronomical Applications.
Related read: Unix Time: The Invisible Number Behind Every Computer Clock.
Related read: Why Prayer Time Apps Disagree: Calculation Methods Explained.
About Yasir Hafeez
Yasir Hafeez is the creator of itsdately a free, independent site for clear world time, calendars, and date tools.
