Recent Advances in Celestial and Space Mechanics

Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-80147-6
Verlag: Springer International Publishing

Buch, Englisch, Band 23, 302 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 5312 g

Reihe: Mathematics for Industry

This book presents recent advances in space and
celestial mechanics, with a focus on the N-body
problem and astrodynamics, and explores the development and application of computational techniques in both
areas. It highlights the design of space transfers with various modes of
propulsion, like solar sailing and low-thrust transfers between libration point
orbits, as well as a broad range of targets and applications, like rendezvous
with near Earth objects. Additionally, it includes contributions on the
non-integrability properties of the collinear three- and four-body problem, and
on general conditions for the existence of stable, minimum energy
configurations in the full N-body problem.
A valuable resource for physicists and mathematicians with research interests in celestial
mechanics, astrodynamics and optimal control as applied to space
transfers, as well as for professionals and companies in the industry.

Zielgruppe

Research

Autoren/Hrsg.

Chyba, Monique

Bonnard, Bernard

Fachgebiete

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

Inhaltsverzeichnis

Preface.- List of Contributors.- Integrability and Non-Integrability of N-Body Problems.- Relative Equilibria in the Full N-Body Problem with Applications to the Equal Mass Problem.- Station Keeping Strategies for a Solar Sail in the Solar System.- Minimum Fuel Trip from a L2 Earth-Moon Halo Orbit to Asteroid 2006 RH120.- Low-Thrust Transfers Between Libration Point Orbits Without Explicit Use of Manifolds.- Time-Minimum Control of the Elliptic Restricted Three-Body Problem Applied to Space Transfer.- On Local Optima in Minimum Time Control of the Restricted Three-Body Problem.

Über Autor(innen)

Monique Chyba, professor at the University of Hawaii-Manoa, Honolulu, USA,
received her Phd in Mathematics from the University of Geneva and the
University of Burgundy (1997). Her expertise lies in the development of geometric
optimal control methods and its application to real problems especially from
physics, biology and engineering. Her contribution varies from robotics,
especially optimal guidance and navigation of autonomous underwater vehicles,
to applications in the medical field. Her most recent work focuses on designing
efficient spacecraft rendezvous mission with temporarily captured orbiters,
mathematical modeling of brain morphogenesis based on the distribution of the
extracellular matrix structures fractones and the optimization of the protein misfolding cyclic amplification
procedure.
Bernard Bonnard, professor at the University of
Burgundy and member of the INRIA Team Mc Tao at Sophia Antipolis, France,
received his PhD in Mathematics at University of Metz (1978) and completed his
Thèse d’ Etat at Grenoble (1983). He is a specialist of geometric optimal
control focusing the use of differential geometry, Dynamical systems and
Control techniques to analyze optimal control problems and in particular the
role of singular trajectories. Other contributions are in sub-Riemannian
geometry with applications to the swimming problem at low Reynolds number. His recent domain of applications are space
mechanics (attitude control, re-entry shuttle problem, orbital transfer)
and control of dissipative quantum
systems with applications to MRI (contrast problem).