Dynamics of tethered system connected to Moon surfaceстатья
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Дата последнего поиска статьи во внешних источниках: 26 августа 2016 г.
Аннотация:We consider the problem of in-plane rotations of a pendulum with variable length
attached to the moon surface. We assume that the Earth and the Moon (or a planet
and its satellite, or an asteroid and spacecraft) move about their center of mass in
unperturbed Keplerian orbits. We discuss the possibilities to cause a prescribed
motion of the system by changing the tether’s length. We obtain the equation for
the tether length control and use the method of small parameter to find periodic
solutions of this equation. The stability of these solutions is studied numerically.
The analysis shows that there exists a control law that implements tether rotations
uniform with respect to true anomaly; one can indicate conditions when the above
rotations are stable in the first approximation. These results can be used for de-
velopment of a lunar elevator or a system for payload transportation to and from
asteroid surface.