law of motion vs Newton's law

law of motion and Newton's law both are nouns.

Word	Noun	Adjective	Verb	Adverb
law of motion	Yes	No	No	No
Newton's law	Yes	No	No	No

As nouns, law of motion and Newton's law are synonyms defined as:

law of motion and Newton's law: one of three basic laws of classical mechanics

Other synonyms of law of motion include Newton's law of motion.

law of motion (noun)	Newton's law (noun)
one of three basic laws of classical mechanics	one of three basic laws of classical mechanics