What is the principle of Jaeger-LeCoultre Moon Phase?

The moon phase shows the state of the moon on the moon phase disk according to the cycle of 29.5 days. There are two moons on this lunar disk with 59 teeth on the edge. After the moon phase wheel is pushed by the driving wheel, it advances one tooth every day, and the change of the moon phase profit and loss will be displayed on the dial in time. The 59-tooth moon phase wheel comes from the average value of the moon phase profit and loss every 29.5 days. Because the precise rotation period of the moon is 28 days 12 hours, 44 minutes and 2.9 seconds, the error of the moon phase display will reach 24 hours every 33 months.