Abstract: The combustor comprises a stationary structure, and at least one annular rotor supported rotatably about a shaft by contactless suspension means. The rotor comprises a first and a second main annular portions which are interconnected by an intermediate annular portion and in each of which there is defined a combustion chamber that has a directed lateral opening for the ejection of the combustion gases. Each combustion chamber has an injector of fuel and oxidizer and an igniter which extend through a circular opening in the said intermediate annular portion of the rotor. The injectors and the associated igniters extend through narrow circular slits defined between each main annular portion and the intermediate portion of the rotor. This intermediate portion communicates with the region outside the rotor through a circularly extending radial exhaust nozzle of convergent-divergent type connected to the said circular opening and having in cross section the shape of a De Laval nozzle.