A separate analysis is made of possible heating of the spacecraft, including its docking assembly, from the jets of the engines of the other spacecraft during docking and undocking. To limit heating, the total length of possible actuation of the engines directed at the docked spacecraft is limited, and the interval for cooling when repeated docking is needed is regulated. Provision of the thermal mode in the docked state, as a rule, is not specified for the docking device itself, but is part of the general task of maintaining the required heat exchange between the two spacecraft. This primarily concerns structures whose external surfaces are thermally insulated from surrounding space by screen vacuum thermal insulation. The docking device usually has sensors which through telemetry give information on the temperatures of individual parts and mechanisms. This information is used to monitor the thermal state of elements of the structure, and may be used to refine conditions and docking procedures. Chapter 4 Dynamics of Docking Mathematical Models Docking is accompanied by dynamic interaction of the spacecraft. The designers of the docking device needed to know the forces which arise, the deformations of the shock absorbers, the relative displacements of the docking assemblies, and other parameters. To theoretically analyze the process, mathematical models were created. Experimental confirmation of the results and testing of the docking devices was done on physical models and Earth-based test units. 4.1. The Tasks and Varieties of Mathematical Models Mathematical models of the dynamics of docking were constructed for the analysis of the motion and interaction of spacecraft for various initial conditions of
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