We obtain another special case for and = 0 (coaxial position of the bodies on one side of the point of interaction): or for two identical bodies Equation (5.27), together with the first two equations of (5.23) make it possible to analyze the work of the shock absorbers for any angular position of the two linked spacecraft. For the real correlations between the parameters, the basic components of the deformations of the linear shock absorbers and are defined by the first two terms of the appropriate equations of (5.23). The low frequency basic component of deformation of the angular shock absorber is defined by the first term of (5.27). 5.3.4. Initial Conditions During Linkage The relative velocities during linkage are defined by the initial velocities during docking and the perturbations as a result of the preceding impacts. Below we examine an approximated method of determining the maximum velocities during linkage without considering the action of the jet control system. It is assumed that just before linkage there is an impact with the cone for a “rod and cone” type device or collision of the guides with the ring for peripheral docking devices, with a maximum velocity . A change in the velocities as a result of the impact may be calculated by calculating the change in the amount of motion from the equivalent mass mg. The momentum on impact is equated to . The angle between the longitudinal axes of the bodies is taken to be zero. It is further assumed that at the end of the impact linkage occurs; the lateral velocity is equal to
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