Evangelical legends about “walking on waters” though they are apparently a fruit of imagination, can have a natural physical substantiation. Change of weight of accelerated moving bodies, confirmed with laboratory measurements of temperature dependence of body weight, in combination with an assumption of non-stationary character of the gravitational field of the Earth, directly leads to the conclusion regarding an opportunity of appreciable artificial change of body weight. The simple phenomenological model is described, according to which at the certain phase ratio of vertical oscillations of a trial body and small (with a relative level of amplitude equal to the tenth - 100-th fractions of per cent) own periodic fluctuations of normal acceleration of free falling (AFF) there are possible both a significant increase and a reduction of average weight of such a body. It is shown that at frequencies of the vertical fluctuations essentially exceeding frequency of own fluctuations of AFF the effect of reduction of average body weight prevails. Results of an experiment with "instant" measurements of acceleration of free falling of a mechanical rotor with horizontal axis of rotations which have confirmed the periodic changes of rotor AFF followed from the specified model are given. A good outlook for development of physics of gravitation and development of new principles of movement, set-up of precision experiments with weighing of bodies moving with acceleration, including those oscillating vertically along trial bodies, is noted.
Keywords: gravitation, weight, acceleration, phenomenological model, rotor.
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