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because the sun is closer earth

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There is very little relation between the hottest day and the longest day. For the northern hemisphere the longest days are in summer when the axial tilt of the Earth lets the sun's rays fall more directly on the surface. However the warmest days can occur any time during the entire span of the summer (about 90 days). Note that for the Northern hemisphere the summer occurs when the Earth is furthest from the sun.

The location on the Earth is also significant consideration. The day time high temperatures generally increase as one approaches the equator. The days near the equator are generally very close to 12 hours due to the geometry of the Earth's orbit and the tilt of the Earth. This would make the longest days at the equator shorter by several hours than the longest days anywhere else on the planet. In this case the longer days in the higher latitudes would be significantly cooler than the shorter (equatorial) days.

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Q: Why does the hottest day occur after the longest day?
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Are the longest days always in the summer?

No, not necessarily. It is the longest day and it is when the solar declination is greatest, however that does not necessarily make it the hottest day. The hottest time of year is typically a month or two after the solstice after the land, and especially water, has heated enough to heat the air above it the most.


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