adjective

having a sensation of whirling and a tendency to fall or stagger; dizzy.

Luke felt almost giddy with relief

dizzy,light-headed,faint,weak,weak at the knees,unsteady,shaky,wobbly,off balance,reeling,staggering,tottering,teetering,woozy,with legs like jelly,with rubbery legs,vertiginous

verb

make (someone) feel excited to the point of disorientation.