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In the article the analysis of existent basic methods of determining the weight of body of cosmonauts and objects small weight is conducted in the conditions of weightlessness, and their features of application are similarly exposed. The most comfortable and perspective method of determining the inertial weight of body in the conditions of weightlessness the use of different sort of oscillators and devices, that allow to measure the parameters of body of cosmonaut (small weight of devices and others like that), that hesitates, is considered. It is possible to use dependence of period of vibrations of spring on b.w. of cosmonaut envisaged on her and others like that. The measuring device of weight of «ИМ-01М», his technical descriptions, composition and principle of action, is considered. Such measuring device it maybe to complement the system of weighing of astronauts and cosmonauts on the method of Karmelo Velardo, that allows to get measuring (form and sizes of cosmonaut and his motions) given about the depth of object. The object of research is oscillators and devices, that allow to measure parameters bodies of cosmonaut and objects small weight, that hesitate. The subject of research is a mathematical vehicle on determination of frequency of eigentones dynamic system. The research aims is development of method of control of frequency of eigentones for determining the weight of body of cosmonaut and objects small weight in the conditions of weightlessness. Conclusions. The method of determining the weight of body of cosmonauts and objects small weight in the conditions of weightlessness and method of his realization are offered on the change of frequency of eigentones dynamic system devices. Analytical expressions for the calculation of frequency of eigentones dynamic system devices and corresponding charts are presented. A spring-gravimetric device is worked out for realization of measuring. A chart technical decision over of device is brought, his composition and principle of action are exposed. A device is able to define weight of control object, his state (his heterogeneity, presence of liquid filler, parts that hesitate and others like that).
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