In a celestial manner; in a way relating to heaven, the sky, or divine realms; with heavenly or spiritual quality.
From 'celestial' plus the adverbial suffix '-ly' (meaning in the manner of). The word maintains the Latin root 'caelestis' while adding the common English adverb formation pattern.
Celestially is a word that astronomers and poets both claimed—one uses it to describe actual heavens and stars, the other uses it for anything transcendent and perfect, and that double meaning is baked right into the word.
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