booster rocket vs takeoff rocket

booster rocket and takeoff rocket both are nouns.

Word	Noun	Adjective	Verb	Adverb
booster rocket	Yes	No	No	No
takeoff rocket	Yes	No	No	No

As nouns, booster rocket and takeoff rocket are synonyms defined as:

booster rocket and takeoff rocket: the first stage of a multistage rocket

Other synonyms of booster rocket include booster, booster unit, takeoff booster.

booster rocket (noun)	takeoff rocket (noun)
the first stage of a multistage rocket	the first stage of a multistage rocket