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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.

Applied Physics --- Engineering & Applied Sciences --- Astrodynamics. --- Astrophysics --- Dynamics --- Astronautics --- Space flight --- Astrophysics. --- Astronautics. --- Mathematical Applications in the Physical Sciences. --- Control and Systems Theory. --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Aerospace Technology and Astronautics. --- Space sciences --- Aeronautics --- Astrodynamics --- Space vehicles --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Mathematical physics. --- Control engineering. --- Space sciences. --- Aerospace engineering. --- Aeronautical engineering --- Engineering --- Science and space --- Space research --- Cosmology --- Science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Physical mathematics --- Mathematics

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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.

Mathematics --- Space research --- Astronomy --- Mathematical physics --- Applied physical engineering --- Engineering sciences. Technology --- Air traffic --- Artificial intelligence. Robotics. Simulation. Graphics --- procesautomatisering --- astronauten --- engineering --- luchtvaart --- controleleer --- wiskunde --- fysica --- ruimtevaart --- regeltechniek

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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.

Mathematics. --- Neurosciences. --- Bioinformatics. --- Computational biology. --- Applied mathematics. --- Engineering mathematics. --- Mathematical models. --- Calculus of variations. --- Calculus of Variations and Optimal Control; Optimization. --- Applications of Mathematics. --- Mathematical Modeling and Industrial Mathematics. --- Computer Appl. in Life Sciences. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Models, Mathematical --- Simulation methods --- Engineering --- Engineering analysis --- Mathematical analysis --- Biology --- Bioinformatics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Neural sciences --- Neurological sciences --- Neuroscience --- Medical sciences --- Nervous system --- Math --- Science --- Mathematics --- Data processing --- Control theory. --- Global differential geometry. --- Magnetic resonance imaging. --- Clinical magnetic resonance imaging --- Diagnostic magnetic resonance imaging --- Functional magnetic resonance imaging --- Imaging, Magnetic resonance --- Medical magnetic resonance imaging --- MR imaging --- MRI (Magnetic resonance imaging) --- NMR imaging --- Nuclear magnetic resonance --- Nuclear magnetic resonance imaging --- Cross-sectional imaging --- Diagnostic imaging --- Geometry, Differential --- Dynamics --- Machine theory --- Diagnostic use --- Mathematical optimization. --- Data processing. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Operations research --- System analysis --- Bioinformatics . --- Computational biology .

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Operational research. Game theory --- Space research --- Astrophysics --- Mathematical physics --- Classical mechanics. Field theory --- Engineering sciences. Technology --- Computer. Automation --- astrofysica --- automatisering --- systeemtheorie --- wiskunde --- systeembeheer --- fysica --- kansrekening --- ruimtevaart --- mechanica