paleology vs palaeology

paleology and palaeology both are nouns.

Word	Noun	Adjective	Verb	Adverb
paleology	Yes	No	No	No
palaeology	Yes	No	No	No

As nouns, paleology and palaeology are synonyms defined as:

paleology and palaeology: the study of (especially prehistoric) antiquities

paleology (noun)	palaeology (noun)
the study of (especially prehistoric) antiquities	the study of (especially prehistoric) antiquities