Linear drive, longitudinal adjustment device of a seat, and motor vehicle

A linear drive (1), comprising:

• at least one rack (10) which is arranged along a longitudinal axis (X) and has a plurality of teeth (15);
• a drive shaft (20) arranged in a transverse axis (Y) transversely to the longitudinal axis (X);
• and
• at least two propulsion elements (30), each having at least one propulsion tooth (35),
• wherein the at least two propulsion elements (30) are linearly movable in a stroke axis (Z) which is oriented transversely to the longitudinal axis (X) and transversely to the drive shaft (20),
• wherein the at least two propulsion elements (30) are drivingly coupled to the drive shaft (20) in such a manner that the at least two propulsion elements (30) perform at least one cyclical stroke movement in the course of one rotation (φ) of the drive shaft (20) and enter and exit the at least one rack (10) to generate a propulsion in the longitudinal axis (X), and
• wherein the at least two propulsion elements (30) enter and exit the at least one rack (10) with a phase shift (Δφ).