Browsing by Author "Tchaban, Vasil"

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Dynamics of motion of electron in electrical field
(Видавництво Львівської політехніки, 2020-02-24) Tchaban, Vasil; Lviv Polytechnic National University
Nowadays, the function of the law of interaction of moving charged bodies has been taken over entirely by the theory of relativity, being covered by a pseudo slogan about the inability of Galileo transformations. In contrast, the article adapts Coulomb’s law in the case of moving charges in all possible speeds in the usual three-dimensional Euclidean space and physical time. This takes into account the finite speed of propagation of the electric field and the law of conservation of the charge. On this basis, the dynamics of the free motion of an electron in a non-uniform electric field are simulated. For qualitative and quantitative evaluations of the manifestation of the relativistic effect on the dynamics of motion, the duplicate time functions of velocities and coordinates obtained by classical Coulomb’s law are given. Electromechanical analogies of electric and gravitational fields have been made.
On some joint laws of the field of gravity and electrometry
(Видавництво Львівської політехніки, 2005-02-24) Tchaban, Vasil; Lviv Polytechnic National University
Adapted laws of statics of electric and gravitational fields in case of dynamic processes are used to obtain common laws of electricity and gravity. The mathematical description is made in a possible range of velocities in the usual three-dimensional Euclidean space and physical time, but bypassing the theory of relativity. This takes into account the finite speed of light propagation of electric and gravitational fields. For certainty, the derivation of the obtained results of gravity is duplicated by the methods of classical mechanics. Wave equations are obtained. The necessary attention is paid to the ratio of dimensions of parallel electrical and mechanical quantities.
Problem of the cosmic gravity measurement
(Видавництво Львівської політехніки, 2021-02-23) Tchaban, Vasil; Lviv Polytechnic National University
Based on Newton's adapted law of universal gravitation in the case of moving masses, taking into account the finite velocity of gravity, differential equations of motion of celestial bodies are obtained. The transient process of the precession of the planet's perihelion was simulated for the first time. A new physical interpretation of the celestial phenomenon due to the discovered new component of force in addition to the Newtonian and Lorentz (gravitomagnetic) is given. The problem of measuring a new force has been formed. The results of computer simulation of the precessing perihelion of the planet considering a new force component are discussed.