The Terreplane Transport System is a ground-based transportation comprised of flying vehicles pulled by a propulsion line. An important design feature of the most preferred system is that the propulsion line only experiences longitudinal forces during flight making low-cost propulsion lines possible. A propulsion carriage engages the propulsion line to create acceleration. A connection arm connects the vehicle to the propulsion carriage whereby the cumulative interaction includes the ability to convert impacting and overflowing air into lift complete with control to provided controlled flight based on the longitudinal force conveyed from the propulsion line to the propulsion carriage. The preferred method of conveying the longitudinal force is through linear motors utilizing novel longitudinally asymmetric coils.