Peter Aaron Van Dorn (1773–1837) was an American lawyer, judge and cotton planter in Mississippi. Born and raised in New Jersey, with a law degree from Princeton, as a young man he migrated to the Mississippi Territory, where he made his career and fortune. He became a major planter with a plantation on the Yazoo River, a law practice in Port Gibson, and a seat as a judge on the Orphan's Court. He was one of the founders of Jackson, Mississippi, designated as the capital when it became a state.