Attitude Dynamics and Control of Space Debris During Ion Beam Transportation provides an overview of the cutting-edge research around the topic of contactless ion beam transportation for the removal of space debris. This practical guide covers topics such as space debris attitude motion, the motion of rigid materials in an inhomogeneous high-speed rarefied medium, gravity gradient torque, and more. The book examines and compares the various ways to control the spatial motion of space debris, such as engine thrust or altering the direction of the ion beam axis, and offers simple mathematical models for analyzing system behaviors.
Author(s): Vladimir S. Aslanov, Alexander S. Ledkov
Publisher: Elsevier
Year: 2022
Language: English
Pages: 313
City: Amsterdam
Front Matter
Acknowledgment
Copyright
Introduction
Basics of space flight mechanics and control theory
Mathematical and mechanical preliminaries
Vector and matrix operations
Fundamentals of classical mechanics
Coordinate systems
Two-body problem: Motion in the orbital plane
Planetary equations for perturbed motion
Relative orbital motion
Rigid body attitude motion in orbit
Orbital and attitude perturbations
Nonspherical central body gravitational field
Moon and Sun gravity
Atmospheric influence
Solar radiation pressure
Earths magnetic field torques
Lyapunov stability theory for the search for control laws
Chaotic dynamics of nonlinear system
References
Space debris problem
Review of the space debris problem
Space debris threat
International legal aspects and space debris prevention guidelines
Space debris rotation properties and inertial parameters estimation
Postmission disposal
Active space debris removal
Just-in-time collision avoidance
Target selection for active space debris removal
Contact methods of active space debris removal
Space debris capturing
Contact space debris removal methods
Contactless space debris removal approaches
Ion beam-assisted transportation
Transportation by electrostatic interaction
Transportation by lasers
Transportation using gravity fields
Contactless detumbling using eddy currents
References
Ion beam physics
Mathematical modeling of an in-beam
Simplified ion beam models
Physics of ion beam interaction with a body surface
Calculating the forces and torque generated by the ion beam
Examples of ion force and torque calculations
Calculation assumptions and methodology
Sphere in an ion beam
Cylinder in an ion beam
Rectangular prism in ion beam
Comparison of rocket stage and cylinder
Cylindrical satellite with solar panels in ion beam
References
Dynamics of relative translation motion of spherical space debris during ion beam transportation
Mathematical model describing ion beam transportation without taking into account space debris attitude motion
General assumptions
Gauss planetary equations of space debris motion
Equations of motion in a spherical reference frame
Calculation of fuel consumption and thruster plume parameters
Estimation of the thruster exhaust velocity and propellant mass for space debris deorbiting from a circular orbit
Active spacecraft relative position stability and control
Stability of the active spacecrafts relative motion in a quasicircular orbit
Control of the active spacecrafts relative motion in a quasicircular orbit
Control of the active spacecrafts relative motion in an elliptical orbit
Space debris removal: Preliminary mission design
References
Dynamics of passive object attitude motion during ion beam transportation
Mathematical models of a passive space debris object during its contactless transportation by an active spacecraft
Mathematical model of the planar motion of space debris
Mathematical model of the spatial motion of space debris
Mathematical model of the spatial motion of a symmetrical space debris object
Stationary motions of a symmetrical space debris object
Attitude dynamics of the uncontrolled motion of a passive space debris object at a constant relative position of the ...
Phase portraits and bifurcation diagrams
Chaotic motion of the object relative to its center of mass in an elliptical orbit in the planar case of motion
Dynamics of the controlled motion of a passive object
Control approaches: Control of beam rate and direction
Control of the space debris attitude motion in a planar case
Thrust control for the case when LIzu=1(0)=0 and β=β
Thrust control for the case when LIzu=1(0)0 and β=βmin or β=βmax
Ion beam direction control
Comparison of the effectiveness of control methods
Ion beam control based on energy estimation
Control of the space debris attitude motion in a spatial case in GEO
Detumbling of axisymmetric space debris in a spatial case
Fuel costs estimation for ion beam-assisted space debris removal mission with and without attitude control
Equations of motion
Control strategies
Comparison of fuel costs for different control strategies
References
The use of contactless ion beam technology
Orbital flight in one plane
Deorbiting of space debris object into the atmosphere
Transportation of space debris into disposal orbit
References
Index
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