operation of the shock absorption system and the operation of the control system. The goal of the analysis of the docking device designers is the determination of 1) dockability; 2) the force of interaction; 3) deformations of the shock absorbers. Also of interest are the relative displacements and speeds of the spacecraft, the residual speeds of the docked spacecraft, and the parameters of the control process. As a rule, the modeling process is divided into five basic stages according to the properties of the links and the work of the shock absorption system: 1) from the first contact to linkage; 2) from linkage to cessation of relative displacements; 3) coupling; 4) docked state; 5) undocking. Primary attention is devoted to modeling of the first two stages, since the largest loads arise in these stages. Coupling usually occurs at low speeds, thus this stage is of great interest for analysis of the operation of the control system. Determination of the loads in the joint in the fourth stage is a special case of the general determination of loads on the spacecraft. The main source of these loads is the action of the heat regulation system, shifting of the crew, primarily rhythmic physical exercises (walking, running, jumping). Determination of the loads in the joint is necessary to rate the locks of the docking frame and the hull (see section 3.2). In modeling of undocking the speed of separation of the spacecraft are determined, as well as angular perturbations after undocking. Thus, a general method for the analysis of the separation of the stages of the rocket booster and spacecraft may be used [10]. Tn analysis in mathematical models, and in Earth-based comprehensive testing, of great importance is the choice of combinations of initial conditions; the number of these combinations, due to the complexity of the models and the labor intense nature of the calculations may not be very large; as a rule, no greater than 10-20. The following are taken into consideration in their definition: 1) for analysis of dockability, maximum displacements and minimum speeds are chosen; 2) to obtain the maximum loads and deformations, maximum speeds for various displacements are chosen; 3) the properties of the configuration of the docking devices and shock absorption systems which are revealed in the design process are considered. Tn this approach, however, one must leave out important combinations. Moreover, the analysis may be done in the initial stage of design, when characteristics of the shock absorbers are unknown. Thus, simplified models are interesting in which the
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