Relative Equilibria Of A Rigid Satellite In A Central Gravitational Field
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Relative Equilibria Of A Rigid Satellite In A Central Gravitational Field
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Author : Jeffrey A. Beck
language : en
Publisher:
Release Date : 1997-09-01
Relative Equilibria Of A Rigid Satellite In A Central Gravitational Field written by Jeffrey A. Beck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-01 with Artificial satellites categories.
We apply noncanonical Hamiltonian methods to examine relative equilibria of a rigid body in a central gravitational field. These equilibria correspond to fixed points of a reduced set of equations expressed in a rotating frame and are representative of an orbiting satellite with fixed attitude relative to an observer rotating at the orbital rate. Our objective is to clarify the relationship between the classical approximation and a recent noncanonical Hamiltonian treatment. In contrast to the classical approximation, the orbital and attitude equations of motion for the noncanonical system remain coupled and the general solution is a circular orbit for which the orbit center and the center of attraction are not necessarily coincident. Our approach involves development of a hierarchy of Hamiltonian approximations. The hierarchy consists of the existing noncanonical system and two noncanonical formulations which we derive for rigid bodies subject to certain constraints motion about a fixed point and motion about a point following a Keplerian orbit. The classical solution is dynamically equivalent to this latter constrained (Keplerian) system. We apply Hamiltonian methods to identify relative equilibria and determine stability conditions. In general, we find that relative equilibria for the Keplerian and unconstrained systems are in close agreement.
Steady Motions Of Rigid Body Satellites In A Central Gravitational Field
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Author :
language : en
Publisher:
Release Date : 1993
Steady Motions Of Rigid Body Satellites In A Central Gravitational Field written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Numerous studies have been conducted on equilibrium orientations of objects moving under the influence of a central gravitational field. The results of many of these studies conclude that equilibrium conditions exist only when one of the principal axes coincides with the radius vector. Furthermore, these results assume that the center of force is located within the orbit plane, thereby tracing a great circle orbit. While these previous works have approximated the gravitational potential, this study examines relative equilibrium obtained by retaining an exact expression for the potential of a spherical primary body, as shown in a recent paper by Wang, Maddocks, and Krishnaprasad. The exact dynamic equations for the motion of a finite rigid body in an inverse square gravitational force field are investigated. Only circular orbits for a specific satellite model consisting of six masses connected by three massless rigid rods are considered. The system dynamics are comprised of seven nonlinear equations, which were numerically solved on a Cray computer. The existence of equilibrium orientations which establish non-great circle orbits was verified and other interesting results were noted. The operational significance of these results was also examined.
Steady Rigid Body Motions In A Central Gravitational Field
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Author : L.-S. Wang
language : en
Publisher:
Release Date : 1991
Steady Rigid Body Motions In A Central Gravitational Field written by L.-S. Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Evolution Of Motions Of A Rigid Body About Its Center Of Mass
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Author : Felix L. Chernousko
language : en
Publisher: Springer
Release Date : 2017-04-20
Evolution Of Motions Of A Rigid Body About Its Center Of Mass written by Felix L. Chernousko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-20 with Technology & Engineering categories.
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 ellipsoids 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.
The Journal Of The Astronautical Sciences
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Author :
language : en
Publisher:
Release Date : 1998
The Journal Of The Astronautical Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Astronautics categories.
Rigid Body Dynamics For Space Applications
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Author : Vladimir S Aslanov
language : en
Publisher: Butterworth-Heinemann
Release Date : 2017-04-22
Rigid Body Dynamics For Space Applications written by Vladimir S Aslanov and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-22 with Technology & Engineering categories.
Rigid Body Dynamics for Space Applications explores the modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics, and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow. Most space systems can be considered as a system of rigid bodies, with additional elastic and viscoelastic elements and fuel residuals in some cases. This guide shows the nature of the phenomena and explains the behavior of space objects. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering, and aerospace science will benefit from this book. Provides a complete treatise of modeling attitude for a range of novel and modern attitude control problems of spaceflight mechanics Features chapters on the application of rigid body dynamics to atmospheric re-entries, tethered assisted re-entry, and tethered space debris removal Shows relatively simple ways of constructing mathematical models and analytical solutions describing the behavior of very complex material systems Uses modern methods of regular and chaotic dynamics to obtain results
Dynamics Of Natural And Artificial Celestial Bodies
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Author : Halina Pretka-Ziomek
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Dynamics Of Natural And Artificial Celestial Bodies written by Halina Pretka-Ziomek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
This volume contains papers presented at the US/European Celestial Mecha nics Workshop organized by the Astronomical Observatory of Adam Mickiewicz University in Poznan, Poland and held in Poznan, from 3 to 7 July 2000. The purpose of the workshop was to identify future research in celestial mech anics and encourage collaboration among scientists from eastem and westem coun tries. There was a full program of invited and contributed presentations on selected subjects and each day ended with a discussion period on a general subject in celestial mechanics. The discussion topics and the leaders were: Resonances and Chaos-A. Morbidelli; Artificial Satellite Orbits-K. T. Alfriend; Near Earth Ob jects - K. Muinonen; Small Solar System Bodies - I. Williams; and Summary - P. K. Seidelmann. The goal of the discussions was to identify what we did not know and how we might further our knowledge. The size of the meeting and the language differences somewhat limited the real discussion, but, due to the excellence of the different discussion leaders, each of these sessions was very interesting and productive. Celestial Mechanics and Astrometry are both small fields within the general subject of Astronomy. There is also an overlap and relationship between these fields and Astrodynamics. The amount of interaction depends on the interest and efforts of individual scientists.
Astrodynamics
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Author :
language : en
Publisher:
Release Date : 1998
Astrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Astrodynamics categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Spaceflight Mechanics 1995
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Author :
language : en
Publisher:
Release Date : 1995
Spaceflight Mechanics 1995 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Orbital mechanics categories.