A Necessary and Sufficient Condition for Solving a Rigid Body Problem

Authors

  • A. I. Ismail
  • T. S. Amer

Abstract

In this paper, the motion of a rigid body about a fixed point under the influence of a Newtonian force field is investigated. The Euler-Poisson equations are used to represent that motion. Three first integrals of these equations are well known. The exact solutions of these equations require, in general, a fourth algebraic first integral. The necessary and sufficient condition for some functions to be a fourth first integral of the governing equations is obtained.

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Published

2019-07-09

How to Cite

Ismail, A. I. and Amer, T. S. (2019) “A Necessary and Sufficient Condition for Solving a Rigid Body Problem”, Technische Mechanik - European Journal of Engineering Mechanics, 31(1), pp. 50–57. Available at: https://journals.ub.ovgu.de/index.php/techmech/article/view/765 (Accessed: 21 November 2024).

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