GEK1506 Heavenly Mathematics & Cultural Astronomy, Tutorial 8, Solutions

1. See the notes.
2. See the notes.
3. 1700.
4. March used to be the first month of the year.
5. See the picture in the Chinese calendar notes.
6. See the notes.
7. See the notes.
8. The Metonic cycle refers to the fact that 19 solar years is almost exactly 235 lunar months. However, thre can be 4 or 5 leap years in 19 Gregorian years, so the number of days may be off by one.