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Evolution of Motions of a Rigid Body About its Center of Mass
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TLDR
In this paper, a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature is presented, which can be used by researchers, engineers and students working in attitude dynamics of spacecraft.Abstract:
The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellopsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.read more
Citations
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On a new type of solving procedure for Euler–Poisson equations (rigid body rotation over the fixed point)
TL;DR: In this paper, the Euler-Poisson equations are reduced to a system of three nonlinear ordinary differential equations of first order in regard to three functions, and the proper elegant approximate solution has been obtained as a set of quasi-periodic cycles via re-inversing the proper elliptical integral.
Journal ArticleDOI
The vibrational motion of a spring pendulum in a fluid flow
TL;DR: In this paper, the response of two degrees of freedom for a nonlinear dynamical model represented by the motion of a damped spring pendulum in an inviscid fluid flow is investigated.
Journal ArticleDOI
On the dynamics OF NON-RIGID asteroid rotation
TL;DR: In this paper, the authors presented a new solving procedure for the dynamics of non-rigid asteroid rotation, considering the final spin state of rotation for a small celestial body (asteroid).
Journal ArticleDOI
The asymptotic solutions of the governing system of a charged symmetric body under the influence of external torques
TL;DR: In this article, the authors investigated the motion of a dynamically symmetric rigid body about one of its fixed points in which it is incurred to Newtonian force field, electromagnetic field and external torques.
Journal ArticleDOI
The dynamical motion of a gyroscope subjected to applied moments
W.S. Amer,W.S. Amer +1 more
TL;DR: In this paper, the problem of the dynamical motion of a rigid body close to Lagrange's gyroscope under the effectiveness of a gyro moment vector, perturbing moments, and a Newtonian field is examined.
References
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Book
Geometrical Methods in the Theory of Ordinary Differential Equations
TL;DR: In the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has Since the author explains basic ideas free from a number of 2nd order odes as discussed by the authors.
Book
Dynamics of multibody systems
TL;DR: In this article, the authors propose a floating frame of reference formulation for large deformation problems in linear algebra, based on reference kinematics and finite element formulation for deformable bodies.
Journal ArticleDOI
Radiative Spin-up and Spin-down of Small Asteroids
TL;DR: The Yarkovsky-O'Keefe-Radzievskii-Paddack (YORP) effect as mentioned in this paper may spin up or spin down 5-km-radius asteroids on a 108-year timescale.
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