GEOGRAPHY & CARTOGRAPHY CALCULATOR Elevationsunrise Time A precise tool.
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What is the Elevationsunrise Time & How does it work?
The Sun’s apparent motion across the sky is governed by Earth’s axial tilt and its orbit around the Sun. As the planet travels through the year, the solar declination – the angle between the Sun’s rays and the equatorial plane – changes, causing the length of day to vary with latitude. At any given location, sunrise occurs when the solar hour angle (Ο‰β‚€) reaches a specific value that places the Sun on the horizon. This relationship is captured by the classic sunrise equation, which links latitude (Ο†), solar declination (Ξ΄), and the hour angle. By combining the hour‑angle calculation with the observer’s time‑zone offset and elevation (which slightly advances the horizon), we can estimate the local sunrise time for any date. The result is useful for navigation, planning outdoor activities, and understanding seasonal daylight patterns.
cosomega_{0}= -tanphi times tandelta
omega_{0} = hour‑angle at sunrise (rad)
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Parameters
Result β€”
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Frequently Asked Questions
What is the formula for calculating sunrise time?
The sunrise equation uses latitude, solar declination, and other factors to determine when the Sun will rise.
How does Earth’s axial tilt affect sunrise times?
Axial tilt causes different latitudes to receive varying amounts of sunlight throughout the year, affecting sunrise times.
What is solar declination and how does it impact sunrise?
Solar declination is the angle between the Sun’s rays and Earth’s equatorial plane. It changes with the seasons, impacting sunrise times globally.
Can I use this calculator for any location on Earth?
Yes, you can input any latitude to calculate sunrise times for that specific location.
What is the solar hour angle (Ο‰β‚€) in relation to sunrise?
The solar hour angle reaches a specific value at sunrise, placing the Sun on the horizon relative to an observer’s location.
How does this calculator account for daylight saving time?
This calculator does not adjust for daylight saving time. You may need to manually adjust the results if applicable.
What is the significance of the equatorial plane in sunrise calculations?
The equatorial plane serves as a reference for measuring solar declination, which is crucial in determining sunrise times at different latitudes.

Results are for informational purposes only and do not constitute professional advice.