celestial sphere vs vault of heaven

celestial sphere

noun
  • An abstract sphere of infinite radius which serves as the imaginary backdrop for celestial objects, and of which the visible sky is one hemisphere. 

name
  • the figure of the universe as an imaginary sphere whose center is the Earth 

vault of heaven

How often have the words celestial sphere and vault of heaven occurred in a corpus of books? (source: Google Ngram Viewer )