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Astrodynamics, Space Missions, And Chaos Book

Astrodynamics, Space Missions, And Chaos
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Astrodynamics, Space Missions, And Chaos, A January 2003 conference sought to bridge the gap between theoretical and applied astrodynamics by bringing together prominent mathematicians, scientists, and engineers. Papers from the conference examine the latest work on applications of chaos and dyna, Astrodynamics, Space Missions, And Chaos
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  • Astrodynamics, Space Missions, And Chaos
  • Written by author Edward Belbruno, Pini Gurfil, David Folta
  • Published by New York Academy of Sciences, 5/28/2004
  • A January 2003 conference sought to bridge the gap between theoretical and applied astrodynamics by bringing together prominent mathematicians, scientists, and engineers. Papers from the conference examine the latest work on applications of chaos and dyna
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Introduction ix
Part I Applications of Chaos and Dynamical Systems
Existence of Chaos Associated with Weak Ballistic Capture and Applications 1
Geometric Mechanics and the Dynamics of Asteroid Pairs 11
On the Occurrence of Transition States in Celestial Mechanics 39
Migration of Jupiter-Family Comets and Resonant Asteroids to Near-Earth Space 46
Migration of Interplanetary Dust 66
Stability of Relative Equilibria in the Full Two-Body Problem 81
Part II Formation Flying
Formation Flying Design and Applications in Weak Stability Boundary Regions 95
Coordinated Orbit Transfer for Satellite Clusters 112
Hamiltonian Modelling of Relative Motion 138
Near-Optimal Reconfiguration and Maintenance of Close Spacecraft Formations 158
Control of Satellite Clusters in Elliptic Orbit with Limited Communication 177
Part III Optimization and Design
Accessibility, Stabilizability, and Feedback Control of Continuous Orbital Transfer 190
Finite Burn Maneuver Modeling for a Generalized Spacecraft Trajectory Design and Optimization System 210
A Systematic-Heuristic Approach for Space Trajectory Design 234
Optimal Plane Changes Using Third-Body Forces 255
Part IV Mission Design
Background and Applications of Astrodynamics for Space Missions of the Johns Hopkins Applied Physics Laboratory 267
Autonomous Low-Thrust Guidance: Application to SMART-1 and BepiColombo 307
The Bering Small Vehicle Asteroid Mission Concept 328
Assessing NEO Hazard Mitigation in Terms of Astrodynamics and Propulsion Systems Requirements 350
Optimal Trajectories from the Earth-Moon L[subscript 1] and L[subscript 3] Points to Deflect Hazardous Asteroids and Comets 370
A Dynamic Metric for NEO Hazard Mitigation 386
Advanced Stellar Compass: Onboard Autonomous Orbit Determination, Preliminary Performance 393
Part V Celestial Mechanics
Classification of Periodic Orbits in the Four- and Five-Body Problems 408
New Orbits for the n-Body Problem 422
Analytical Theory of an Artificial Satellite of the Moon 434
Part VI Propulsion
A Survey of Propulsion Options for Cargo and Piloted Missions to Mars 450
The Solar Photon Thruster as a Terrestrial Pole Sitter 468
Index of Contributors 475


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Astrodynamics, Space Missions, And Chaos, A January 2003 conference sought to bridge the gap between theoretical and applied astrodynamics by bringing together prominent mathematicians, scientists, and engineers. Papers from the conference examine the latest work on applications of chaos and dyna, Astrodynamics, Space Missions, And Chaos

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