Monique Chyba - Böcker

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.

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.

This book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes. It is based on two real-world applications, which have been the subject of two current academic research programs and motivated by industrial use –  the design of micro-swimmers and the contrast problem in medical resonance imaging. The recently developed numerical software has been applied to the cases studies presented here. The book is intended for use at the graduate and Ph.D. level to introduce students from applied mathematics and control engineering to geometric and computational techniques in optimal control.