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P013 The Decision of a Return Linear Problem Gravitational Investigation at West Krivoy Rog 1 Abstract It is established that for various models at the same accuracy of the gravitational investigation shootings the correct model of a return linear problem of gravitational investigation (RLPG) allows to receive exact steady and geological substantial decision and the incorrect model gives unstable and vapid the decision. The class of models RLPG providing practical suitability known including developed author is found methods and criteria of the decision of linear-nonlinear problems and directions of the further researches are determined.The practice examples are given. Introduction.The return