An anchoring system designed to clamp a position detector on a support plane of a vehicle station in a predetermined lateral position relative to a vehicle wherein said position detector is configured to determine the position of said vehicle relative to a target panel which is designed to calibrate ADAS components present in said vehicle, said anchoring system comprises: a positioning plate, which is flat and is firmly fixed on the support plane in the predetermined lateral position, a flat base, which is firmly fixed to said position detector and is designed, in use, to be laid on the positioning plate, magnetic means, which are arranged on said flat base and on the positioning plate and are structured so as to magnetically attract one another so as to firmly clamp, though in an easily removable manner, the flat base of the position detector on the positioning plate, said anchoring system is wherein said magnetic means comprise one or more first magnets, which are steadily arranged on said flat base, one or more second magnets, which are steadily arranged on said positioning plate and have opposite magnetic polarities relative to the polarities of the respective one or more first magnets said one or more second magnets are arranged on the positioning plate so as to be vertically aligned with the respective one or more first magnets of the base, when the flat base rests on the positioning plate, said one or more second magnets are arranged in respective notches obtained on said positioning plate, the anchoring system is characterized by comprising mechanical members, which are provided with vertical stems going through said base and operate to mechanically fix the base on the positioning plate, said first magnets are arranged at the lower end of said stems so as to engage said notches when the base is laid on said positioning plate. said anchoring system comprises: a positioning plate, which is flat and is firmly fixed on the support plane in the predetermined lateral position, a flat base, which is firmly fixed to said position detector and is designed, in use, to be laid on the positioning plate, magnetic means, which are arranged on said flat base and on the positioning plate and are structured so as to magnetically attract one another so as to firmly clamp, though in an easily removable manner, the flat base of the position detector on the positioning plate, a positioning plate, which is flat and is firmly fixed on the support plane in the predetermined lateral position, a flat base, which is firmly fixed to said position detector and is designed, in use, to be laid on the positioning plate, magnetic means, which are arranged on said flat base and on the positioning plate and are structured so as to magnetically attract one another so as to firmly clamp, though in an easily removable manner, the flat base of the position detector on the positioning plate, said anchoring system is wherein said magnetic means comprise one or more first magnets, which are steadily arranged on said flat base, one or more second magnets, which are steadily arranged on said positioning plate and have opposite magnetic polarities relative to the polarities of the respective one or more first magnets said one or more second magnets are arranged on the positioning plate so as to be vertically aligned with the respective one or more first magnets of the base, when the flat base rests on the positioning plate, said one or more second magnets are arranged in respective notches obtained on said positioning plate, one or more first magnets, which are steadily arranged on said flat base, one or more second magnets, which are steadily arranged on said positioning plate and have opposite magnetic polarities relative to the polarities of the respective one or more first magnets said one or more second magnets are arranged on the positioning plate so as to be vertically aligned with the respective one or more first magnets of the base, when the flat base rests on the positioning plate, said one or more second magnets are arranged in respective notches obtained on said positioning plate, the anchoring system is characterized by comprising mechanical members, which are provided with vertical stems going through said base and operate to mechanically fix the base on the positioning plate, said first magnets are arranged at the lower end of said stems so as to engage said notches when the base is laid on said positioning plate.