aerodrome vs flying field

aerodrome and flying field both are nouns.

Word	Noun	Adjective	Verb	Adverb
aerodrome	Yes	No	No	No
flying field	Yes	No	No	No

As nouns, flying field is a hypernym of aerodrome; that is, flying field is a word with a broader meaning than aerodrome:

aerodrome: an airfield equipped with control tower and hangars as well as accommodations for passengers and cargo
flying field: a place where planes take off and land

Other hypernyms of aerodrome include airfield, field, landing field.

aerodrome (noun)	flying field (noun)
an airfield equipped with control tower and hangars as well as accommodations for passengers and cargo	a place where planes take off and land