Satyriona
Judging from Greek and Roman accounts, satyrion must have been very close to the perfect aphrodisiac. According to Theophrastus, it produced on one occasion seventy consecutive acts of coitus. Another Roman author suggests that it is sufficient to use it on the soles of the feet to produce erotic arousal. Yet another source suggests that it was sufficient to hold a part of the plant in the hand to produce the desired erotic effects.
Unfortunately, the precise identity of satyrion is not known today. It was a plant with reddish leaves and a double root, possibly similar to the orchids producing salep.The most common way of using it was to pulverize the dried root and add it to wine.
According to some sources, not only the root but also the nectar was used as satyrion. You could try the nectar of the wild orchid Orchis mascula (found in many parts of Europe) and mix it with warm goat’s milk. The nectar from one plant is sufficient for two tablespoons of milk.
The popularity of satyrion, however, led to its eradication, a fate it shared with silphion (laserpitium), a plant known to be a rich nourishment, a delicious spice and a powerful medicine.
The context you have things in is quite new to me. I knew Satyrnalia (don’t ask me fpr correct translation into english) as the celebrations of Saturn, which indeed included a fertility ceremony and -happening.
First, I’d like tto ask anyone very strongly, NOT to try Orchis mascula without a clear idea of what they do.
Second, what you describe as Satyrione, reminds me a lot of mandragora officinalis or mandrake (mind this name), a strong nightshade which has been famed for these and other effects in middle ages europe. http://www.erowid.org/plants/mandrake/mandrake_images.shtml has pictures. Mind the root in the last one.
It’s pretty common in and around greece till today and was a major ingredient of witch potions in earlier days. Another is fat, no matter if from goatmilk or human corpse, to solve the alkaloids. Just goatmilk was so common in ancient greece. The human fat was most probably just legend to justify witch hunting.
As well the plant as dried root are available from quite a few vendors on the web, but those are ONLY for educational purposes, to have seen what you’re talking about. Do NOT consume it – or at your own risk, if you’re really sure, what you’re doing and it’s not illegal in your country – if you’re living in the land of the free 😉