Positioner P for an antenna intended to be placed in a given or restricted volume, comprising, in combination, at least the following elements: • A first axis Aα ensuring the movement of the antenna in azimuth, • A third axis Aγ ensuring the movement of the antenna in elevation, said third axis Aγ being orthogonal and coplanar to the first axis Aα, • A second axis of rotation Aβ or cross-elevation axis positioned so as to intersect said first axis Aα and said third axis Aγ at one and the same virtual point O, said virtual point O of intersection of the three axes Aα, Aβ, Aγ constituting the pivot point of the movements of said antenna mounted on the positioner, the kinematic of said antenna lies within a cylinder of diameter equal to the diameter of the antenna mounted on said positioner, and characterized in that: • Said first axis Aα with continuous rotation comprises: a fixed base frame on which are mounted a mobile frame, an electrical collector provided with a revolving seal and an α motor-drive subassembly,, • Said second axis Aβ comprises a support for pivoting means (51, 52), such as rollers (51, 52) comprising a groove (51A, 52A), a β motor-drive subassembly, a γ motor-drive subassembly,, • Said third axis Aγ comprises a cradle supporting the antenna and two half-rings (9A, 9B) for circular guidance, said half-rings being provided with V-shaped guiding rails sliding on the grooves (51A, 52A) of said rollers (51, 52), • Said second axis Aβ being inserted into an orifice 02 of the fixed base frame forming an angle ψ with the axis Aα, the angle ψ lying within the range [20°, 70°], • Said third axis Aγ being inserted into the roller support of said second axis Aβ. • A first axis Aα ensuring the movement of the antenna in azimuth, • A third axis Aγ ensuring the movement of the antenna in elevation, said third axis Aγ being orthogonal and coplanar to the first axis Aα, • A second axis of rotation Aβ or cross-elevation axis positioned so as to intersect said first axis Aα and said third axis Aγ at one and the same virtual point O, said virtual point O of intersection of the three axes Aα, Aβ, Aγ constituting the pivot point of the movements of said antenna mounted on the positioner, the kinematic of said antenna lies within a cylinder of diameter equal to the diameter of the antenna mounted on said positioner, • Said first axis Aα with continuous rotation comprises: a fixed base frame on which are mounted a mobile frame, an electrical collector provided with a revolving seal and an α motor-drive subassembly,, • Said second axis Aβ comprises a support for pivoting means (51, 52), such as rollers (51, 52) comprising a groove (51A, 52A), a β motor-drive subassembly, a γ motor-drive subassembly,, • Said third axis Aγ comprises a cradle supporting the antenna and two half-rings (9A, 9B) for circular guidance, said half-rings being provided with V-shaped guiding rails sliding on the grooves (51A, 52A) of said rollers (51, 52), • Said second axis Aβ being inserted into an orifice 02 of the fixed base frame forming an angle ψ with the axis Aα, the angle ψ lying within the range [20°, 70°], • Said third axis Aγ being inserted into the roller support of said second axis Aβ.