Cryogenic regulating valve for aircraft or spacecraft

A regulating valve with a rack and pinion transmission system for an aircraft or a spacecraft, comprising:

• a valve body,
• a transmission shaft disposed at least partly in the valve body, movable in rotation about a first axis, and including a pinion,
• a rolling element disposed at least partly in the valve body, movable in translation along a second axis substantially perpendicular to the first axis, and including a rack, the rack being engaged with the pinion so that a rotation of the transmission shaft causes a translation of the rolling element, a first end of the rolling element being guided in translation by a first fixed bearing, and a second end of the rolling element being guided in translation by a second bearing,
• an annular connecting flange fixed to the valve body by means of fixing means, the annular connecting flange radially extending between an axisymmetric inner face about the second axis and an axisymmetric outer face about a central axis, the inner face comprising a radially inner housing in which the second bearing is housed, the second axis being radially offset with respect to the central axis.