1st Edition
Dynamics of Tethered Space Systems
Symbol Description
List of Figures
List of Tables
TETHERED SYSTEMS IN SPACE: A SHORT INTRODUCTION
Basic features and areas of applications
Physical models of TSS in literature
Comparison of the influence of various physical effects
Gravitational perturbations
Bending and friction forces in the cable
Electromagnetic forces
Aerodynamic drag, solar radiation and impacts of micrometeorites
Methods of mathematical modelling
Basic model: Point masses connected by a massless string
Model of TSS with massive string: Tether equations; Satellite equations
Known results and some problems
EQUATIONS OF MOTION OF SPACE TETHER SYSTEMS
Some remarks concerning the motion of TSS
Two point masses connected by a massless elastic string
Unperturbed motion
Equations of perturbed motion
System with an elastically attached mass
Motion of a mass point in the central force field
Relative motion of a tethered system
Motion about the orbit of the mass centre
Motion of the mass centre
On the derivation of new forms of equations of perturbed Keplerian motion
ANALYSIS OF THE MOTION OF TSS
Regular attitude motions of TSS
On application of the averaging method
Influence of gravitational oscillations
Motion due to longitudinal oscillations of small amplitude
Motion with longitudinal oscillations of large amplitude
Slow rotation of the system
Energy dissipation due to the tether material
Essentially non-linear longitudinal oscillations
Linear tether stretching
Averaging with respect to the phases of oscillations of the unperturbed motion
Phase of slow evolution:1st approximation longitudinal oscillations; Laws of motion
Influence of aerodynamic forces
Equations of first approximation
Influence of dissipative aerodynamic forces
Basic laws of evolution of motion
Influence of other perturbing factors
Interaction of translational and rotational motions
Equations of motion
First integrals
Basic laws of evolution of the system
Dissipation of energy due to the visco-elastic tether material
Regular and chaotic motions of TSS with inextensible tether
Chaotic motion of TSS with extensible tether
Statement of the problem
Qualitative analysis of attitude motion of an orbital pendulum w/ oscillating length
Analysis of a specific trajectory: Estimation of the variation of energy for pendulousmotions; Analysis of the character of the trajectory
Analysis of sets of trajectories
Non-linear resonances
Image of chaotic motions
Effect of energy dissipation
Results of numerical calculations
Analysis of chaotic motions and their images
USE OF RESONANCE FOR MOTION CONTROL
Introductory remarks: Formulation of the problem
Control of motion of the system around its mass centre
Control of orbital motion
DEPLOYMENT OF TETHERED SPACE SYSTEMS
Deployment with prescribed final motion
Prescribed constraints on phase variables
Prescribed trajectory
Monotonous tether feed out
Deployment of a rotating TSS
Deployment due to gravitational and inertial forces
Deployment along an inclined direction to the local vertical
Deployment with changing of velocity of bodies after separation
Deployment of three elastically tethered bodies in the centrifugal force field
Physical model
Mechanical model
Mathematical model
Numerical modelling of deployment
Experiment of unreeling the cable
Description of the experiment
Moment of inertia of a fly-wheel
Moment of friction forces in the bearings
Resistance force against unreeling of cable
Bibliography
Index
Biography
A.P. Alpatov is with the NAS and NSA of Ukraine. V.V. Beletsky is with Moscow State University, Russia. V.I. Dranovsky is with the NSA of Ukraine and the Youzhnoye State Design Office.
