Following command, Burke held assignments as senior member, Tactical Readiness Evaluation Team, on the staff of Commander, Submarine Force, United States Atlantic Fleet; as the deputy director for Operations, Strategy and Policy Directorate (J5), at United States Joint Forces Command; as the division director, Submarine/Nuclear Power Distribution (PERS-42) and Nuclear Propulsion Program Manager (N133), Director, Joint and Fleet Operations (N3/N5), United States Fleet Forces Command and most recently as deputy commander, United States Sixth Fleet, director of Operations (N3), United States Naval Forces Europe-Africa and commander, Submarine Group 8.