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Wishing Everyone a Happy Solsthelion
This is a word I invented many years ago, half a decade at least.[0] It's a portmanteau word[1] made from "Solstice" and "Perihelion". The December Solstice[2] is on December 21st[3], and the Perihelion, the point in the Earth's orbit where we are closest to the Sun, is on January 4th[4].
So the "Solsthelion" neatly covers the holiday period and is purely astronomical, not based in any particular human culture or history. So if it's after the middle of December, start wishing people a "Happy Solsthelion" So for convenience, people usually just declare Dec 21st to be the "Calendar Solstice".
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