But do some reading on lime plaster, and don't use modern gysum plaster. The modern stuff will crack as it is too hard. Lime plaster is surprisingly easy to work with, and you will need to add some hair to the base coat to give it something to bind it together.
You could spend an enjoyable day on a lime mortar/plaster course, learn a surprising amount, and then do a good repair on your ceiling. The people who run the courses mostly sell the materials too. Try a search on the net for lime mortar courses.