rotation vs gyration

rotation and gyration both are nouns.

Word	Noun	Adjective	Verb	Adverb
rotation	Yes	No	No	No
gyration	Yes	No	No	No

As nouns, gyration is a hyponym of rotation; that is, gyration is a word with a more specific, narrower meaning than rotation:

As nouns, rotation and gyration are synonyms defined as:

Other synonyms of rotation include revolution.

rotation (noun)	gyration (noun)
the act of rotating as if on an axis	the act of rotating in a circle or spiral
a planned recurrent sequence (of crops or personnel etc.)	a single complete turn (axial or orbital)
a single complete turn (axial or orbital)
(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin