Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field
Amer, T., Abady, I. (2016). Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field. EKB Journal Management System, 37(1), 1-6. doi: 10.21608/djs.2016.139911
T. S. Amer; I. M. Abady. "Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field". EKB Journal Management System, 37, 1, 2016, 1-6. doi: 10.21608/djs.2016.139911
Amer, T., Abady, I. (2016). 'Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field', EKB Journal Management System, 37(1), pp. 1-6. doi: 10.21608/djs.2016.139911
Amer, T., Abady, I. Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field. EKB Journal Management System, 2016; 37(1): 1-6. doi: 10.21608/djs.2016.139911

Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field

Delta Journal of Science
Article 1, Volume 37, Issue 1, June 2016, Page 1-6  XML PDF (1.49 MB)
Document Type: Research and Reference
DOI: 10.21608/djs.2016.139911
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Authors
T. S. Amer; I. M. Abady
1Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt.
Abstract
In this paper, we introduce a new solution of the Euler’s dynamic equations for the rotational motion of a rigid body
about a fixed point under the action of a Newtonian force field. The components of the angular velocity vector for this solution are
differing from the most famous cases. We assumed that the center of mass of the rigid body coincides with the fixed point and a
restriction on an initial condition is applied. The obtained solution is represented graphically using most recent computer codes to
describe the motion at any time and is considered as a modification of Euler’s case.
Keywords
Euler’s equations; Rigid body motion; Newtonian field
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