Gravitate (verb)

1. To be attracted to a person, thing, or place naturally or inevitably.
2. To move towards something under the influence of gravity.

Origin:

From late latin gravitat-, past participle stem of gravitare, from latin gravis "heavy". .

Examples:

1. She seemed to gravitate towards the more eccentric members of the group.
2. He found himself gravitating towards the same type of person over and over again.
3. They tend to gravitate towards the city center for entertainment and nightlife.
4. All objects in the universe gravitate towards each other due to gravity.
5. The apple fell from the tree because it was gravitating towards the ground due to the force of gravity.