Winter Solstice Sun Angle Formula:
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The Winter Solstice Sun Angle represents the maximum altitude of the sun at solar noon on the winter solstice (December 21/22 in Northern Hemisphere). This is when the sun is at its lowest point in the sky due to Earth's axial tilt of 23.44° away from the sun.
The calculator uses the winter solstice sun angle formula:
Where:
Explanation: The formula calculates how high the sun appears in the sky at noon on the shortest day of the year, accounting for your location's latitude.
Details: Knowing the winter sun angle helps in solar panel positioning, architecture design (for passive solar heating), photography planning, and understanding seasonal sunlight patterns.
Tips: Enter your latitude in degrees (-90 to +90). Positive for Northern Hemisphere, negative for Southern Hemisphere. The calculator will show the sun's maximum altitude angle on winter solstice.
Q1: Why is the winter solstice sun angle important?
A: It determines the minimum sunlight exposure a location receives, affecting heating needs, daylight hours, and solar energy potential.
Q2: How does this differ from summer solstice angle?
A: Summer solstice uses -23.44° instead of +23.44° in the formula, resulting in higher sun angles.
Q3: What if I get a negative angle?
A: Negative values mean the sun doesn't rise above the horizon (polar night) on winter solstice at that latitude.
Q4: How accurate is this calculation?
A: It's mathematically precise for sea level at solar noon. Atmospheric refraction may add about 0.5° to apparent altitude.
Q5: Can I use this for other dates?
A: No, this is specific to winter solstice. Other dates require different declination angles.