Menstruation occurs during the Moon's high altitude or low altitude

What about the heightened sexual desire in the several days immediately before ovulation?
Does it occur during high altitude or low altitude of the moon?

The altitude of the moon has nothing to do with it and on average of thousands of women their menstrual cycle starts are evenly scattered across the calendar.
And if you are talking about the apparent height above the horizon - which is astronomical altitude but is a number, not high or low, that varies with the season - so you would be asking "do women have menstrual cycle in summer or in winter?" when they happen monthly.