At what local (mean solar) time is the point of the autumnal equinox at the upper climax three weeks after the day of the vernal equinox?

On the day of the vernal equinox, the point of the autumnal equinox coincides with the opposite point of the sky and culminates at 0:00 local time (up to the equation of time). Every day its culmination will occur 3m56s earlier, and in 21 days the local time of the climax of the autumnal equinox point will be 22h37m. The equation of time these days (around April 10) is close to zero, and taking it into account will not change the answer to the problem.

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