@article{Ivanchenko_2004, title={Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism}, volume={56}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3726}, abstractNote={We propose a system of differential equations in the tensor general-covariant form whose solutions are called gravitational and charged particles. For free fields, solutions are found in the form of Newton and Coulomb potentials.</p> <p class="a-plus-plus">For a particle that rotates with constant velocity around another particle with large mass, a solution is obtained in the form <span class="a-plus-plus inline-equation id-i-e1"> <span class="a-plus-plus equation-source format-t-e-x"> \(\omega = k\sqrt {\frac{m_2 }{R^3 } \) </span> </span> if the particle is uncharged, and in the form <span class="a-plus-plus inline-equation id-i-e2"> <span class="a-plus-plus equation-source format-t-e-x"> \(\omega = k\sqrt {\frac{\varepsilon _1 \varepsilon _2 }{m_1 R^3 } \) </span> </span> if it is charged.}, number={1}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Ivanchenko, V. M.}, year={2004}, month={Jan.}, pages={31-50} }