takeoff rocket vs booster

takeoff rocket and booster both are nouns.

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

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

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

takeoff rocket (noun)	booster (noun)
the first stage of a multistage rocket	an additional dose that makes sure the first dose was effective
	the first stage of a multistage rocket
	an amplifier for restoring the strength of a transmitted signal
	a thief who steals goods that are in a store
	someone who is an active supporter and advocate
	a person who backs a politician or a team etc.