Алгоритм моделювання танення полярного льоду, внутрішнього руху Землі та виверження вулкану з 3 вимірним тензором інерції

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 re...

Повний опис

Збережено в:
Бібліографічні деталі
Видавець:The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
Дата:2023
Автори: Matsuki, Yoshio, Bidyuk, Petro
Формат: Стаття
Мова:English
Опубліковано: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2023
Теми:
Онлайн доступ:http://journal.iasa.kpi.ua/article/view/290473
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Організація

System research and information technologies
Опис
Резюме: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.