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Sunshine on the Land Hemisphere (Posted on 2023-06-06) Difficulty: 3 of 5
The world can be divided into two hemispheres in several ways, Eastern-Western and Northern-Southern being the most well known. But the next best known is the somewhat hazy Land Hemisphere vs the Water or Sea Hemisphere.

When adjusted just right, the great circle boundary between these hemispheres divides the earth between a hemisphere that has 80% of the earth's land and a hemisphere that has only the remaining 20% of the earth's land.

Of course on a temporary basis there's a daylit hemisphere and a hemisphere that's in night (or at least twilight, with the sun down but near the horizon).

At what time on what day of the year, is the daylit portion of the earth most nearly coincident with the land hemisphere?

  Submitted by Charlie    
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Solution: (Hide)
The Wikipedia article on the Land and Water Hemispheres gives the center of the land hemisphere as about 47°N and 2°E. The center of the daylit area is the subsolar point, whose closest approach to this would be about 8 minutes before noon GMT on the day of the June solstice, around June 21 each year.

Here's a map (link) showing daylight at that moment in 2013.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
correctionSteven Lord2023-06-08 12:53:14
further considerationsSteven Lord2023-06-07 02:03:23
a possible solutionSteven Lord2023-06-06 14:50:01
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