interesting user name... 
Big, green and neon green can be several different species so it really depends on what it is. Did it have any spines, spikes, horns, hairs, etc. protruding from its body? In NJ poly & luna (which are VERY similar looking in the caterpillar stage) will need to winter over in the fridge. If it is a luna it may come out in a few weeks. Do you know what plant it was on? Can you post a photo of the cocoon? I am pretty good at deciphering if the pic is decent.
Go to the site below and look at the first two pix. Thye are the poly and the luna and to the untrained eye they can look identical. Regardless of what species it is you do not want to disrupt it for a couple weeks. Even though the cocoon is spun the cat inside is going thru a very tricky stage of pupating. If you re-orient it, it may not be situated right and could become trapped inside
So for now just leave it in the tank.
Post a pic if you can.
lele
>>hello not really into moths or anything. yesterday a 4 year old i live with found what i believe to be a polyphemus caterpillar. it was about 3 inches long and neon green. he wanted to keep over night so i put it in a 10 gallon aquarium with leaves and branches. i woke up this morning and it has made a cacoon. how do i take care of it now and how long until it turns into a moth. i live in new jersey. thanks in advance for any info.
Saturniidae