A method of irradiating a target in a patient comprising directing a beam of radiation from an external source of radiation 24 at the target in the patient from numerous directions in a broad solid angle by longitudinally rotating the external source of radiation 24 around a central axis and simultaneously or sequentially, in either order, latitudinally rotating the external source of radiation 24; a globe gantry 21 comprising (i) a front opening ring 22 with its origin on the central axis of the globe gantry 21, (ii) at least one arc-shaped, gantry support arm 23, which has a front end and a rear end and is part of a circle, (iii) an external source of radiation 24, which is mounted on at least one arc-shaped, gantry support arm 23 and is movable along the gantry support arm to vary the latitude of the beam angle, (iv) a rear rotational axle 25 with an axis along the central axis of the globe gantry 21, (v) a support base 27, and (vi) a rear housing 26 comprising a source of power, mechanisms for moving components of the globe gantry 21, and controllers for controlling the movement of the components of the globe gantry 21 and the irradiation of the target in the patient; a system 20 comprising the globe gantry 21; and a method of irradiating a target in a patient using the system.L'invention concerne un procédé pour irradier une cible dans un patient, consistant à diriger un faisceau de rayonnement à partir d'une source externe de rayonnement 24 au niveau de la cible dans le patient depuis de nombreuses directions dans un grand angle solide en tournant longitudinalement la source externe de rayonnement 24 autour d'un axe central et, simultanément ou séquentiellement, dans un ordre quelconque, en tournant dans la direction latitudinale la source externe de rayonnement 24 ; un support mobile de globe 21 comprenant (i) un anneau d'ouverture avant 22 ayant son origine sur l'axe central du support mobile de globe 21, (ii) au moins un bras de support en forme d'arc 23 du