Del 23 - Mathematics for Industry

Recent Advances in Celestial and Space Mechanics

Inbunden, Engelska, 2016

709 kr

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This book presents recent advances in space andcelestial mechanics, with a focus on the N-bodyproblem and astrodynamics, and explores the development and application of computational techniques in bothareas. It highlights the design of space transfers with various modes ofpropulsion, like solar sailing and low-thrust transfers between libration pointorbits, as well as a broad range of targets and applications, like rendezvouswith near Earth objects. Additionally, it includes contributions on thenon-integrability properties of the collinear three- and four-body problem, andon general conditions for the existence of stable, minimum energyconfigurations in the full N-body problem. A valuable resource for physicists and mathematicians with research interests in celestialmechanics, astrodynamics and optimal control as applied to spacetransfers, as well as for professionals and companies in the industry.

Produktinformation

Utgivningsdatum2016-04-08
Mått155 x 235 x 22 mm
Vikt692 g
FormatInbunden
SpråkEngelska
SerieMathematics for Industry
Antal sidor302
Upplaga16001
FörlagSpringer International Publishing AG
ISBN9783319274621

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Monique Chyba, professor at the University of Hawaii-Manoa, Honolulu, USA,received her Phd in Mathematics from the University of Geneva and theUniversity of Burgundy (1997). Her expertise lies in the development of geometricoptimal control methods and its application to real problems especially fromphysics, 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 designingefficient spacecraft rendezvous mission with temporarily captured orbiters,mathematical modeling of brain morphogenesis based on the distribution of theextracellular matrix structures fractones and the optimization of the protein misfolding cyclic amplificationprocedure.Bernard Bonnard, professor at the University ofBurgundy and member of the INRIA Team Mc Tao at Sophia Antipolis, France,received his PhD in Mathematics at University of Metz (1978) and completed hisThèse d’ Etat at Grenoble (1983). He is a specialist of geometric optimalcontrol focusing the use of differential geometry, Dynamical systems andControl techniques to analyze optimal control problems and in particular therole of singular trajectories. Other contributions are in sub-Riemanniangeometry with applications to the swimming problem at low Reynolds number. His recent domain of applications are spacemechanics (attitude control, re-entry shuttle problem, orbital transfer)and control of dissipative quantumsystems with applications to MRI (contrast problem).

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.