Similar word to circumnutate:

aberrate, amble, circumambulate, circumlocute, circumnutate, cruise, deviate, divagate, diverge, drift, float, follow one's nose, gad, gallivant, globe-trot, hike, hopscotch, jaunt, maunder, meander, peregrinate, ramble, range, roam, roll, rove, saunter, straggle, stray, stroll, take to the road, trail, traipse, tramp, trek, vagabond, walk the tracks