Analytical investigation of the dynamics of tethered constellations in Earth orbit, phase 2
Abstract
The following topics related to the dynamics of the 4mass tethered system are addressed: (1) the development of damping algorithms for damping the outofplane libration of the system and the interaction of the outofplane control with the other degrees of freedom; and (2) the development of environmental models to be added to the dynamics simulation computer code. The environmental models are specifically a new drag routine based on the Jacchia's 1977 model, a J(2) model and an accurate thermal model of the wire. Regarding topic (1) a survey of various outofplane libration control laws was carried out. Consequently a yoyo control law with amplitude of the tether length variation proportional to the amplitude of the outofgame libration has been selected. This control law provides good damping when applied to a (theoretical) twodimensional system. In the actual 3dimensional 4mass tethered system, however, energy is transferred to the least damped degrees of freedom (the outofplane lateral deflections are still undamped in the present simulations) in such a way as to decrease the effectiveness of the algorithm for outofplane libration control. The addition of damping algorithms for the outofplane lateral deflections is therefore necessary.
 Publication:

Smithsonian Astrophysical Observatory Report
 Pub Date:
 October 1986
 Bibcode:
 1986sao..rept.....L
 Keywords:

 Damping;
 Dynamic Control;
 Dynamic Response;
 Earth Orbital Environments;
 Librational Motion;
 Motion Stability;
 Satellite Drag;
 Tethered Satellites;
 Control Theory;
 Gravitational Effects;
 Space Commercialization;
 Temperature Effects;
 Tetherlines;
 Astrodynamics