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Документ Відкритий доступ Algorithm for simulating melting polar ice, Earth internal movement and volcano eruption with 3-dimensional inertia tensor(КПІ ім. Ігоря Сікорського, 2023) Matsuki, Yoshio; Bidyuk, PetroAbstract. This paper reports the result of an investigation of a hypothesis that the melting polar ice of Earth flowing down to the equatorial region causes volcano eruptions. We assumed a cube inside the spherical body of Earth, formulated a 3-dimensional inertia tensor of the cube, and then simulated the redistribution of the mass that is to be caused by the movement of melted ice on the Earth’s surface. Such mass distribution changes the inertia tensor of the cube. Then, the cube’s rotation inside Earth was simulated by multiplying the Euler angle matrix by the inertia tensor. Then, changes in the energy intensity and the angular momentum of the cube were calculated as coefficients of Hamiltonian equations of motion, which are made of the inertia tensor and sine and cosine curves of the rotation angles. The calculations show that the melted ice increases Earth’s internal energy intensity and angular momentum, possibly increasing volcano eruptions.Документ Відкритий доступ Analysis of moon’s gravitational-wave and earth’s global temperature: influence of timetrend and cyclic change of distance from moon(КПІ ім. Ігоря Сікорського, 2018) Matsuki, Yoshio; Bidyuk, Petro I.This research examined the influence of Moon’s gravitational-wave to Earth’s global warming process and the effects of time-trend and cyclic change of the distance between Moon and Earth. In the pervious research, we found that the Moon’s gravitational-wave could influence the process of the Earth’s global warming; and, we also found that Moon’s cyclic movement around Earth needed to be further investigated, because it gave a unique pattern of distribution in the data for the empirical analysis; while both global temperature and global carbon-dioxide increase almost linearly in the time-series. In this research we added dummy binary variables that simulate the trend of time and the cyclic changes. As a result we confirmed that the influence of Moon’s gravitational-wave is significant in the process of rising global temperature on Earth.Документ Відкритий доступ Analysis of the nuclear reactor core of Chernobyl power plant for 5 seconds before explosion with the three-dimensional spherical space(НТУУ "КПІ", 2016) Matsuki, Yoshio; Bidyuk, Petro I.; Мацукі, Йошіо; Бідюк, Петро Іванович; Мацуки, Йошио; Бидюк, Петр ИвановичДокумент Відкритий доступ Curvature coordinates to describe the explosion of Chernobyl’s reactor core in April 1986, using the tensor equations(КПІ ім. Ігоря Сікорського, 2017) Matsuki, Yoshio; Bidyuk, Petro I.; Мацукі, Йошіо; Бідюк, Петро Іванович; Мацуки, Йошио; Бидюк, Петр ИвановичДокумент Відкритий доступ Empirical analysis of Chernobyl nuclear reactor core for 5 seconds before the explosion(НТУУ "КПІ", 2016) Matsuki, Yoshio; Bidyuk, Petro I.; Мацукі, Йошіо; Бідюк, Петро Іванович; Мацуки, Йошио; Бидюк, Петр ИвановичДокумент Відкритий доступ Empirical analysis of moon’s gravitational wave and earth’s global warming(КПІ ім. Ігоря Сікорського, 2018) Matsuki, Yoshio; Bidyuk, P. I.This research examines a possibility of a disturbance by Moon’s gravitational wave to the Earth’s global warming process in comparison with the increase of global volume of carbon dioxide. Because the general theory of relativity that predicts the gravitational wave of a planet has a dimension of 1/(distance)2, we analyzed the data sets of global temperature and global carbon dioxide, with this dimension of gravitational wave using Least Squares Estimation of Linear Classical Regression Model, Generalized Classical Regression Model, and Nonlinear Regression Model. The results suggest that there is a disturbance to the process of global warming by the Moon’s gravitational wave. However, there is uncertainty for this conclusion because the Moon’s rotational movement around Earth gives different type of distributions of its sample data, while global temperature and carbon dioxide increase proportionally accordingly to available time-series.Документ Відкритий доступ Empirical investigation on influence of moon’s gravitational-field to earth’s global temperature(КПІ ім. Ігоря Сікорського, 2019) Matsuki, Yoshio; Bidyuk, Petro I.Документ Відкритий доступ The proof of hypothesis regarding distortion of time and space using the nuclear fusion model(КПІ ім. Ігоря Сікорського, 2022) Matsuki, Yoshio; Bidyuk, Petro I.