Sunrise & Sunset Time Estimator
Calculate accurate sunrise, sunset, twilight phases, golden hour, and daylight duration for any coordinates.
Settings
Selected Location Target
New York, USA
Coordinates
40.71°, -74.01°
Solar Times Overview
5:00:36 AM (05:00:36)
Azimuth: 291.8° E
12:01:33 PM (12:01:33)
Sun at highest peak
7:02:29 PM (19:02:29)
Azimuth: 68.2° W
Twilight & Photography Windows
Understanding Solar Position & Astronomical Calculations
The exact times of sunrise, sunset, and twilight are determined by the geometrical relationship between Earth's axial tilt, orbital position around the Sun, and your precise geographical latitude and longitude. Our estimator features an interactive global city search tool alongside precision astronomical algorithms adapted from the NOAA (National Oceanic and Atmospheric Administration) Solar Calculator, delivering instant solar event estimations anywhere on Earth.
When determining solar event times, two primary physical corrections are automatically incorporated into our algorithms:
- Atmospheric Refraction: Earth's atmosphere bends incoming sunlight upward by approximately 34 arcminutes (0.566°). As a result, the Sun appears above the horizon shortly before its geometric body actually rises.
- Solar Angular Diameter: Official sunrise and sunset are marked by the appearance or disappearance of the Sun's top rim (upper limb), not its central core. This accounts for an additional 16 arcminutes (0.266°) of angular radius.
- Standard Zenith Angle: Combining refraction and angular radius yields the official solar zenith angle of 90.833° (90° + 50 arcminutes) for true sunrise and sunset computations.
Core Astronomical Definitions & Solar Terminology
Understanding the core concepts behind solar position tracking clarifies why clock times shift throughout the year and how geographical parameters dictate solar events.
| Term | Solar Zenith Angle | Physical Description & Primary Utility |
|---|---|---|
| Official Sunrise | 90.833° | First upper edge of the Sun becomes visible above the horizon. Used as legal daylight boundary. |
| Solar Noon | Local Minimum | The moment the Sun crosses the local meridian and reaches its highest elevation in the sky. |
| Official Sunset | 90.833° | The upper limb of the Sun vanishes completely beneath the horizon. Marks end of geometric daytime. |
| Solar Azimuth | 0° to 360° | The horizontal compass direction of the Sun measured clockwise from true north. Critical for solar panel tilt. |
| Solar Declination | -23.44° to +23.44° | The angle between Earth's equatorial plane and the line joining the centers of Earth and Sun. Dictates seasons. |
The Three Phases of Twilight & Golden Hour
Twilight occurs during the intervals before sunrise and after sunset when the Sun is below the horizon, but Earth's upper atmosphere remains illuminated. Depending on your activity—whether photography, astronomy, maritime navigation, or aviation—different twilight thresholds are required:
Civil Twilight (0° to -6°)
The Sun is up to 6° below the horizon. Natural light is sufficient for outdoor activities without artificial illumination. Terrestrial objects are clearly defined, and only the brightest stars are visible.
Nautical Twilight (-6° to -12°)
The Sun sits 6° to 12° below the horizon. Mariners can distinguish horizon lines while simultaneously viewing bright navigation stars. Artificial street lighting becomes necessary on land.
Astronomical Twilight (-12° to -18°)
The Sun is 12° to 18° below the horizon. The sky is nearly dark, allowing astronomers to observe deep-sky objects. Past -18°, complete astronomical night is reached.
Mathematical Foundation & Equation of Time Formula
Solar calculation engines use astronomical algorithms to compute the hour angle ($HA$) of the Sun for any given latitude ($\phi$), declination ($\delta$), and zenith angle ($Z$). The primary governing equation is:
\cos(HA) = \frac{\cos(Z) - \sin(\phi) \cdot \sin(\delta)}{\cos(\phi) \cdot \cos(\delta)}Additionally, the Equation of Time (EoT) compensates for Earth's orbital eccentricity and axial tilt. The EoT value fluctuates continuously throughout the year, causing true solar noon to shift by up to +14 minutes or -16 minutes relative to mean solar time.
Julian Century ($JC$)
Calculated from Julian Day ($JD$) relative to standard epoch J2000.0:
JC = (JD - 2451545.0) / 36525.0
Sun Declination ($\delta$)
Combines corrected mean obliquity of the ecliptic with the Sun's apparent longitude to determine precise tilt.
Real-World Practical Applications Across Industries
Photographers leverage Golden Hour and Blue Hour calculations to plan outdoor shoots with optimal ambient lighting, avoiding harsh midday shadows.
Solar array installers utilize sunrise/sunset times along with azimuth angle data to optimize photovoltaic panel tilt angles and forecast energy yield.
Pilots enforce strict Visual Flight Rules (VFR) tied to Civil Twilight limits, while mariners use nautical twilight calculations for celestial star navigation.
Farmers monitor seasonal changes in total daylight duration to optimize crop planting schedules, irrigation cycles, and livestock management.
Frequently Asked Questions
How do I search for my city in the Sunrise & Sunset Time Estimator?
Simply type your city or country name into the 'Search City or Location' search bar. A dynamic dropdown list of global cities will filter in real time. Click on your target city to automatically load its exact latitude, longitude, and timezone offset.
How is official sunrise and sunset defined in solar calculations?
Official sunrise is the exact moment when the upper edge of the Sun's disk appears above the horizon in the morning. Official sunset occurs when the upper edge disappears below the horizon in the evening. Standard calculations use a solar zenith angle of 90.833° to account for atmospheric refraction (approx. 34 arcminutes) and the Sun's semidiameter (approx. 16 arcminutes).
What is the difference between Civil, Nautical, and Astronomical Twilight?
Twilight is defined by the Sun's position below the horizon. Civil Twilight occurs when the Sun is between 0° and 6° below the horizon, providing enough natural light for outdoor activities without artificial lighting. Nautical Twilight occurs between 6° and 12° below the horizon, allowing sailors to navigate using horizon lines and bright stars. Astronomical Twilight occurs between 12° and 18° below the horizon, where faint stars become visible to the naked eye until complete astronomical darkness.
Why does Solar Noon rarely match 12:00 PM local clock time?
Solar Noon is the instant when the Sun reaches its highest point in the sky and crosses the local meridian. It rarely coincides with 12:00 PM local clock time due to your position within your time zone (longitude offset), Daylight Saving Time (+1 hour), and the Equation of Time—a variation caused by Earth's elliptical orbit and axial tilt causing sun times to drift up to 16 minutes throughout the year.
What are Polar Night and Midnight Sun?
At high latitudes near the Arctic and Antarctic Circles (above 66.5° N/S), Earth's axial tilt causes extreme seasonal solar behavior. Polar Night occurs in winter when the Sun stays entirely below the horizon for 24 hours. Midnight Sun (or Polar Day) occurs in summer when the Sun remains visible continuously above the horizon for 24 hours.
How does elevation affect sunrise and sunset times?
As your elevation increases, your horizon drops relative to sea level (dip of the horizon). Every 1,000 meters of elevation advance sunrise and delay sunset by approximately 1 minute, effectively lengthening your observable daylight period.
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