Recent Advances in Celestial and Space Mechanics [electronic resource] / edited by Bernard Bonnard, Monique Chyba. - 1st ed. 2016. - IX, 302 p. 218 illus., 68 illus. in color. online resource. - Mathematics for Industry, 23 2198-350X ; . - Mathematics for Industry, 23 .

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.

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.

9783319274645

10.1007/978-3-319-27464-5 doi


Mathematics.
Mathematical physics.
Space sciences.
Aerospace engineering.
Astronautics.
Control engineering.
Mathematics.
Mathematical Applications in the Physical Sciences.
Control.
Extraterrestrial Physics, Space Sciences.
Aerospace Technology and Astronautics.

QC19.2-20.85

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