Dynamical Systems, the Three-Body Problem and Space Mission Design

Erscheinungsjahr 2011
ISBN: 978-0-387-49515-6
Verlag: Springer

Buch, Englisch, Band 332, 335 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Interdisciplinary Applied Mathematics

This book considers global solutions to the restricted three-body problem from a geometric point of view. The authors seek dynamical channels in the phase space which wind around the planets and moons and naturally connect them. These low energy passageways could slash the amount of fuel spacecraft need to explore and develop our solar system. In order to effectively exploit these passageways, the book addresses the global transport. It goes beyond the traditional scope of libration point mission design, developing tools for the design of trajectories which take full advantage of natural three or more body dynamics, thereby saving precious fuel and gaining flexibility in mission planning. This is the key for the development of some NASA mission trajectories, such as low energy libration point orbit missions (e.g., the sample return Genesis Discovery Mission), low energy lunar missions and low energy tours of outer planet moon systems, such as a mission to tour and explore in detail the icy moons of Jupiter.
This book can serve as a valuable resource for graduate students and advanced undergraduates in applied mathematics and aerospace engineering, as well as a manual for practitioners who work on libration point and deep space missions in industry and at government laboratories. The authors include a wealth of background material, but also bring the reader up to a portion of the research frontier.

Autoren/Hrsg.

Koon, Wang Sang

Lo, Martin W.

Marsden, Jerrold E.

Ross, Shane D.

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Astronomie Raumfahrt
• Naturwissenschaften Astronomie Astrophysik
• Technische Wissenschaften Verkehrstechnik | Transportgewerbe Luft- und Raumfahrttechnik, Luftverkehr

Inhaltsverzeichnis

Acknowledgments.- Preface.- Related Literature.- Introduction.- Motion near the Collinear Equilibrium Points.- Heteroclinic Connection and Global Orbit Structure.- Construction of Trajectories with Prescribed Itineraries.- Trajectories in the Four-Body Problem.- Extension to the Spatial Problem: Halo Orbits and Their Computation.- Invariant Manifolds and End-to-End Transfer.- Transfer CorrectionManeuvers and Station-Keeping Strategies.- Invariant Manifolds and Complex Mission Designs.- Multi-Moon Orbiters and Low Thrust Trajectories.