AbstractThis paper presents the analytic solutions for the equilibrium configurations with respect to an orbiting reference frame of a three-body hinged space system. The analysis is carried out in order to highlight the correlation between these configurations and some chosen geometrical and inertial parameters. Both the orbital and the attitude motion are thought to be planar. Dynamic equations have been setup by using a Lagrangian formulation for a physical solution made of three extended masses linked together with pins. Since we deal with an extended system, the gravity gradient effects have been taken into account. The equilibrium analysis has been carried at for two particular physical solutions: the first is made of a central extended body and two dot masses linked to the central one through booms. The second one presents two dot masses linked together with booms with an extended body at the extremity of the system, likewise a bi-pendulum. Both physical solutions highlighted 12 basic equilibrium configurations. One configuration for each physical system arrangement is analyzed in detail. The chosen solutions permit to achieve a similar attitude configuration of the main body with different dispositions of the other two hung masses. Several attitude angle values quite different from classic solutions known for a single body system can be achieved by the extended body just varying geometric or inertia parameter values. The analytical solutions for the attitude angles and the boundary surfaces of the volumes the chosen parameters must belong to in order to satisfy equilibrium configurations are obtained.
Equilibrium analysis of a large multi-hinged space system
Acta Astronautica ; 53 , 1 ; 9-20
2002-01-17
12 pages
Article (Journal)
Electronic Resource
English
Equilibrium analysis of a large multi-hinged space system
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