a ski exercising apparatus has a set of at least two parallel , partially arcuate rails joined to an underlying frame structure at opposite ends , the rails providing a track rising from each end , a wheeled carriage riding on the track , such that the carriage , in side - to - side movement rises to a maximum height at the center of the track , and descends from the center to each side , at least one articulated footpad mounted to the wheeled carriage , and at least one power band providing constraint for the wheeled carriage as it rides on the track . a variety of improvements in such an exercising apparatus are taught and claimed .