The Leier Elevator for an Asteroid
We consider a space station flight about an asteroid. We claim that if the asteroid rotation about its mass center is a regular precession then the space station can be placed on the cable with ends fixed on the asteroid poles. Thus an original space elevator for such asteroid can be realized.
We divide the station equilibria on the cable into two types and analyze one of these types, varying the considered system parameters. We formulate some facts of stability for found equilibria.