gravitate

verb2

1. •
   To move under the force of gravity.

   • These, who have nature's steps with care pursued, That matter is with active force endued, That all its parts magnetic power exert, And to each other gravitate, assert. — 1712
2. •
   (figurative) To tend or drift towards someone or something, as though being pulled by gravity.

   • Children naturally gravitate to such a big, friendly man.
   • The guests slowly gravitated to the kitchen.