A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler's equations)

DOI10.1016/j.amc.2011.03.057zbMath1281.70009OpenAlexW2047052651MaRDI QIDQ546020

Efstathios E. Theotokoglou, Ioanna Rizou, Dimitrios E. Panayotounakos

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.057

zbMATH Keywords

exact solutionAbel equation

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (2)

On the application of KBM method for the 3-D motion of asymmetric rigid body ⋮ Free fall of a symmetrical gyroscope in vacuum

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the decoupling and solution of the Euler kinematic equations governing the motion of a gyro
• A complex analytic solution for the attitude motion of a near-symmetric rigid body under body-fixed torques
• Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs I: Abel's equations
• Exact analytic solutions of nonlinear boundary value problems in fluid mechanics (Blasius equations)
• The Rotating Beam Gyroscope
• On the Decoupling and the Solutions of the Euler Dynamic Equations Governing the Motion of a Gyroscope

This page was built for publication: A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler's equations)