The Rotational Motion of a Symmetric Rigid Body Similar to Kovalevskaya’s Case

• Published in: Iranian journal of science (Online) Vol. 42; no. 3; pp. 1427 - 1438
• Main Authors: Amer, T. S., Amer, W. S.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.09.2018; Springer Nature B.V
• Subjects: Angular velocity; Axes (reference lines); Chemistry/Food Science; Differential equations; Earth Sciences; Engineering; Equations of motion; Graphical representations; Integrals; Life Sciences; Materials Science; Nonlinear differential equations; Nonlinear equations; Physics; Research Paper; Rigid structures; Runge-Kutta method; Satellites; Submarines; Three dimensional motion; Perturbation methods; Symmetric rigid body; 70E20; 70E05; 70E15; Euler’s equations; 70E17

In this article, we study the three-dimensional rotational motion of a symmetric rigid body (gyro) about a fixed point under the influence of a gyrostatic moment vector about the principal axes of inertia according to Kovalevskaya’s conditions. The six nonlinear differential equations of motion besi...