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العنوان
Stability of Spinning Objects in the Kerr-Newman Field \.
المؤلف
Tantawy,Mohammed Mounir Mahmoud Mohamed.
هيئة الاعداد
باحث / محمد منير محمود محمد طنطاوي
مشرف / .جلال محروس معتمد
مشرف / محمد عبدالله بكرى
مشرف / . إيهاب فتحي محمد
تاريخ النشر
2021.
عدد الصفحات
viii,93p.:
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
المناهج وطرق تدريس الرياضيات
تاريخ الإجازة
1/1/2021
مكان الإجازة
جامعة عين شمس - كلية التربية - قسم الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

In the previous and the present century, two main methods of studying natural phenomena were established. The first method is quantum mechanics, which has succeeded in studying the strong, weak, and electromagnetic fields. The second is the geometric method, which was successful in gravitational and electromagnetic fields. The present study is interested in astrophysics and celestial mechanics, in which gravity and electromagnetic fields play the principal role. Attention is paid to the second method. The General Theory of Relativity can be a good representation of the geometric method.
In geometric field theories, there are at least two types of equations that explain the theory. The first type encompasses field equations that give accurate information about the field at any point in space-time, while the second includes the equations of motion that show the behavior of particles (planets, satellites, etc.) placed in the field considered. The study of the equations of motion sheds much more light on the solutions obtained from field equations and the properties of particles (neutral, charged, spinning (an object as it rotates around an axis through its center of mass), etc.), especially when discussing the physical meaning of any of the obtained solutions. This study is concerned with investigating the effect of the properties of both the field and its particles on the kinetic behavior of the particles.

The main results of the thesis are:
1. The equations of motion for charged particles, spinning particles, and spinning charged test particles are derived.
2. The kinematic equations in different fields, such as charged field (Reissner-Nordström Field), rotating gravitational field (Kerr field), and rotating electromagnetic field (Kerr-Newman) are solved.
3. The study results are applied to the movement of Earth and satellites.
4. The advance of the perigee for the satellite orbits with different inclinations is calculated.
5. The results of this study are compared with those of monitoring satellites