Author:
Amer T. S.,El-Kafly H. F.,Elneklawy A. H.,Galal A. A.
Abstract
AbstractThis paper aims to explore the rotatory spatial motion of an asymmetric rigid body (RB) under constant body-fixed torques and a nonzero first component gyrostatic moment vector (GM). Euler's equations of motion are used to derive a set of dimensionless equations of motion, which are then proposed for the stability analysis of equilibrium points. Specifically, this study develops 3D phase space trajectories for three distinct scenarios; two of them are applied constant torques that are directed on the minor and major axes, while the third one is the action of applied constant torque on the body’s middle axis. Novel analytical and simulation results for both scenarios of constant torque applied along the minor and middle axes are provided in the context of separatrix surfaces, equilibrium manifolds, periodic or non-periodic solutions, and periodic solutions’ extreme. Concerning the scenario of a directed torque on the major axis, a numerical solution for the problem is presented in addition to a simulation of the graphed results for the angular velocities' trajectories in various regions. Moreover, the influence of GM is examined for each case and a full modeling for the body's stability has been present. The exceptional impact of these results is evident in the development and assessment of systems involving asymmetric RBs, such as satellites and spacecraft. It may serve as a motivating factor to explore different angles within the GM in similar cases, thereby influencing various industries, including engineering and astrophysics applications.
Publisher
Springer Science and Business Media LLC
Reference27 articles.
1. Leimanis, E. The General Problem of the Motion of Coupled Rigid Bodies About a Fixed Point (Springer-Verlag, 1965).
2. Rahn, C. D. & Barba, P. M. Reorientation maneuver for spinning spacecraft. J. Guid. Control Dyn. 14(4), 724–728 (1991).
3. Livneh, R. & Wie, B. New results for an asymmetric rigid body with constant body-fixed torques. J. Guid. Control Dyn. 20(5), 873–881 (1997).
4. Akulenko, L. D., Leshchenko, D. D. & Rachinskaya, A. L. Evolution of the satellite fast rotation due to the gravitational torque in a dragging medium. Mech. Solids 43(2), 173–184 (2008).
5. Amer, A., Amer, T. S. & Galal, A. A. Simulation of a subjected rigid body motion to an external force and moment. J. Vib. Eng. Technol. 1, 1 (2023).
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献