Is the winter solstice sun due south of 12?

In the winter solstice in the northern hemisphere, the sun is located at due south 12, while in the southern hemisphere, the sun is located at due north 12.

Due to the earth's rotation, the sun in the northern hemisphere began to shine directly at the equator from the vernal equinox, and finally with the change of time, it shone directly on the tropic of cancer from summer to sun. Then turn to the equator, the autumnal equinox points directly to the equator, and then move south to the tropic of Capricorn from winter to morning. Then return to the equator, year after year. At this time, we can see that the noon 12 sun in the northern hemisphere is in the south, but the opposite is true in the southern hemisphere.

As an important node of the 24 solar terms in China, the winter solstice has the shortest day and the longest night in the north of the equator. The winter solstice is the limit of the sun's southward travel, and the height of the sun in the northern hemisphere is the smallest on this day. On the solstice of winter, the sun shines directly on the tropic of Capricorn, and the sun is most inclined to the northern hemisphere. The solstice in winter is the turning point of the sun's southward movement. After this day, I went back, and the direct point of the sun began to move northward from the Tropic of Capricorn (23 26' s), and the daytime in the northern hemisphere (China is located in the northern hemisphere) increased day by day. From winter to around, the earth is located near the perihelion, and its running speed is slightly faster, resulting in that the time for the sun to shine directly into the southern hemisphere is about 8 days shorter than that in the northern hemisphere, so the winter in the northern hemisphere is slightly shorter than that in summer.