Well chandra namaskar is either done specifically on the full moon or with the full moon as a visual. I studied this at Yoga Mandala in Berkeley. This as I understand it comes from a classical tantric view. The practice I mean. At yoga mandala you can study classical tantra view teachings. Actually if you asked the question on the yoga mandala site I believe you'd get a pretty elaborate answer.

The thing that comes to my mind after having done so much study and practice is that the full moon is a part of a goddess style practice/understanding. The energy of that body just like the energy of any other celestial body can be worked with in your practice and probably there is some practice relating to it whether you call it Hindu, Tantric, Vedantic, etc. I mean heck, I just came home from India where on the full moon in the town I was living in it is a huge Lord Siva day when everyone walks around the sacred mountain considered the body of Siva (about a four or six hour journey).

So if you mean which types of asana practices are condoned, I would recommend asking the teacher of the system that you choose, and/or sense it yourself and go with that opening. If you are doing a practice that is entirely solar (surya namaskar) that might be leaving out an entire aspect of the experience of being in the human body which has both lunar and solar nadis.

I am not an ashtangi yogi so you'd have to ask them why they don't practice on the full moon. Might be because their practice is so solar it's not appropriate. I don't know.

Hope that helps.