Joshua 10:13b "and hasted not to go down about a whole day."
The word for "whole" is Strong's 8549 tamiym (taw-meem') תמים complete, full, whole, virgin, upright, perfect. That day, probably August 24, 1241 BC, the sun may move back to Virgo, then circle the earth for 24 hours, and from Virgo move to the other side of earth to Pisces. Then earth continue its reverse orbit of the sun till February 15, 1240 BC, which was recorded by king Wan in China = his first year as king. King Wan's 35th year was recorded at the lunar eclipse on day 13 of cycle 60, September 15, 1205 BC. Thus king Wan's first year in 1240 BC.
The word for "about" is ןכל
It's meaning is a range of light colors. Thus probably means from morning light to dusk.
The word for "day" is yowm (yome); Strongs 3117, from an unused root meaning "to be hot". Literally a day (as in the warm hours).

Joshua 10:13 "And the sun stood still, and the moon stayed, until the people had avenged themselves upon their enemies. Is not this written in the book of Jasher? So the sun stood still in the midst of heaven, and hasted not to go down about a whole day."

The Chinese zodiac from 2315 BC, emperor Yao's first year where the sun stood still in the sky 9 days = the fulfillment of Joseph's second dream in Genesis 37. The sun miracle would be on April 1, Pharaoh's birthday when Pharaoh called Joseph to interpret his dream a full two years after his birthday.

Genesis 40:20 "And it came to pass the third day, which was Pharaoh's birthday, that he made a feast unto all his servants: and he lifted up the head of the chief butler and of the chief baker among his servants."

Genesis 41:1 "And it came to pass at the end of two full years, that Pharaoh dreamed: and, behold, he stood by the river."

Gen 41:43 "And he made him to ride in the second chariot which he had; and they cried before him, Bow the knee: and he made him ruler over all the land of Egypt."

This same day April 1, 2315 BC probably when the sun did not set in China when Yao became emperor and sent He and Ho to determine the four seasons by the culminating of the stars.

Yao's Canon depicts the sun in the east in spring, that is, earth in a reverse orbit. Logically if the sun moved 180° earth would flow forward into a clockwise, reverse, orbit. Yao's 700 years too recent canon of the seasons can be explained by the sun moving the 180° before or after the equinox and the sun moving up or down at the same time. Thus the sun would still be in the same season as it was the day before.

The solstices and equinoxes of Yao in the reverse orbit, mark not 700 years more recent than 2315 BC, but 1400 years more recent. If you move the sun 180° at the winter or summer solstice, you would have to pivot the base of an earth globe 180° as well. This means 2 X 90°. Thus the winter solstice is 90 days to the vernal equionox. If the sun moved to the other side of earth at the solstice, the earth glove would have to pivot 180° to keep earth in the same season. So days before the equinox X 2 = stars appearing in the equinoxes and solstices hundreds of years into the future.

The sun must move 180° 10 days before the spring equinox. The spring equinox would be April 10, 2315 BC. Thus April 1, 2315 BC would be 10 days before the equinox April 10, 2315 BC. 10 days of 365 days is about 10°. Simply moving the sun at the solstice means pivoting earth 2 X 90° to keep earth in the same season. Then we multiply the 10° X 2 = 20° because the 90 days before the equinox meant a shift of 180° of earth. Thus 2 X the days before = the degrees. 1400 years / 26000 years precession = 20°. Thus, God must move the sun up or down after moving the sun 180° to keep earth in the same season.

You can demonstrate: put your earth globe on a flat table. Put your fist on one side of the globe. Move your fist 180° to the other side of the globe. Unless you do this on the equinox, your fist = the sun, will be lower or higher than it was and earth suddenly in summer or winter. You can pivot the base of the globe to put earth in the same season. Or you can move your fist up or down at the same time as moving 180°. This equals shifting earth in forward or backward precession to give these four stars of Yao's Canon to mark the four seasons.

Thus, Joshua's Long Day can be proven by Yao's Long Day.