constantly vs perpetually

constantly and perpetually both are adverbs.

Word	Noun	Adjective	Verb	Adverb
constantly	No	No	No	Yes
perpetually	No	No	No	Yes

As adverbs, constantly and perpetually are synonyms defined as:

Other synonyms of constantly include always, forever, incessantly.

constantly (adverb)	perpetually (adverb)
invariably	invariably
without variation or change, in every case	everlastingly; for all time