Incidentally, the women in this effort would *not* have had their cycles synchronized with lunar phases, because birth control pills run on a 28-day cycle (the average length of natural menstrual cycle) and the lunar month is 29 1/2 days.
(birth control pills; run; ) (the lunar month; is; 29 1/2 days)
birth control pills the lunar month
run is
29 1/2 days