Named after Evgenij Stepanovich Petrov - Soviet rocketry scientist (1900-1942).
Petrov is an impact crater along the southeastern limb. The crater is difficult to observe in this location, and visibility of this feature is affected by libration. The nearest crater of note is Chamberlin, just on the far side to the northeast. Somewhat farther to the west-southwest is Gill. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.