Fairing of aircraft elevator

Fairing (9) which closes the internal end of an elevator (3) of an aircraft with respect to the fuselage section (1) on which the fairing (9) moves, with the elevator (3) arranged on a horizontal stabiliser (2) of the aircraft, such that the horizontal stabiliser (2) moves with a trim angle (α) with respect to the fuselage section (1) in turn rotating the elevator (3) with an elevator angle ( ) with respect to the horizontal stabiliser (2), with the fairing (9) maintaining a distance (6) with respect to the fuselage section (1) during its movement in which the distance (6) is a minimised distance for all movement ranges of the elevator (3) for the trim angle (α) of the horizontal stabiliser (2) and the elevator angle ( ) of the elevator (3), thereby reducing aerodynamic losses through parasitic resistance which is not caused by support of the aircraft. A method for obtaining the design of the fairing (9) is also disclosed.