Dynamics of space elevator on asteroid
We consider dynamics of a space elevator on an asteroid, i. e., spacecraft attached to a rotating celestial body with a light inextensible tether. We study the domains attainable for the spacecraft depending on such problem parameters as the angular velocity of the asteroid, the tether length, the position of the anchor at the surface, etc. We develop a method based on Routh procedure that allows one to identify the relative equilibria of the system in study and to analyze its stability and bifurcations. Some non-trivial classes of the solutions are found and their relations to the libration points are examined.