Final answer:
The secret society can meet at any of the given times; day and night are always roughly equal on the equinoxes.
Step-by-step explanation:
The secret society can meet at any of the above times; day and night are always roughly the same.
The length of day and night is determined by the tilt of the Earth's axis in relation to its orbit around the Sun. This tilt causes the changing of seasons and the varying length of day and night throughout the year. However, there are two points in the year, known as the equinoxes, when the day and night are roughly equal in length everywhere on Earth, regardless of the hemisphere. These equinoxes occur around March 20-21 and September 22-23.
Therefore, the secret society can meet at any of the given times: December 22, January 1, June 22, and September 23.