Hi,
Hard to gauge size from the pic, but it looks like a polyphemus or luna cocoon. Is it at least 1.5"-2"? Was it wrapped in leaves? Do you know what the tree is that it was feeding on (meaning the stem the cocoon is attached to).
I am in NH and sometimes will have poly and luna come out this late, but there is more of a chance that it will for you since you are more south and the island/city are even warmer. (I'm from LI and my dad lived in NYC as does my brother.)
Anyway, back to your moth...I linked you to some sites below, but here are some basics. The poly, luna, cecropia, promethea and others all belong to the wild (giant) silk moth family. None of them feed as adults so you won't have to worry about that. I would enjoy him or her for a day and then release. Actually, if it is a male it will begin looking for a way out once it is dark. Sometimes the females will just hangout for 24 hours. In the wild (even the wilds of NYC
) the female send out her pheromones from a little tip she sticks out of her abdomen, the male "smells" her with his antennae and comes to mate. The males have much wider antennas than the female and it is most noticeable in the poly.
So I would keep it initially in something covered (a glass tank with screen top? Does the setup you have it in now have a top? Also try to expose it to normal temps (a deck/garage/patio) and daylight hours since these can be triggers. The MOST IMPORTANT thing is to give it sticks propped up securely so that once eclosed (emerged) it can climb to expand and harden its wings. Poly and luna wingspans can exceed 5" They release a fluid as they break out of the cocoon and as a defense afterward - it is called cocoonase. If it gets on you, clothing, furnishings, etc dont worry, it is totally water soluble and will not stain.
Here are some links for you:
www3.islandtelecom.com/~oehlkew/
www.uky.edu/Ag/Entomology/entfacts/misc/ef008.htm
www.fcps.edu/StratfordLandingES/Ecology/mpages/polyphemus_moth.htm
www.fcps.edu/StratfordLandingES/Ecology/mpages/luna_moth.htm
if October rolls around and it has not emerged then you can put it in a small plastic container and top in the crisper part of the fridge for the winter and take it out in April/May
keep us posted!
lele