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.
Author(s): Bernard Bonnard, Monique Chyba (eds.)
Series: Mathematics for Industry 23
Edition: 1
Publisher: Springer International Publishing
Year: 2016
Language: English
Pages: IX, 302
Tags: Mathematical Applications in the Physical Sciences; Control; Extraterrestrial Physics, Space Sciences; Aerospace Technology and Astronautics
Front Matter....Pages i-ix
Integrability and Non Integrability of Some n Body Problems....Pages 1-30
Relative Equilibria in the Full N-Body Problem with Applications to the Equal Mass Problem....Pages 31-81
Station Keeping Strategies for a Solar Sail in the Solar System....Pages 83-115
Minimum Fuel Round Trip from a \(L_2\) Earth-Moon Halo Orbit to Asteroid 2006 RH \(_{120}\) ....Pages 117-142
Low-Thrust Transfers Between Libration Point Orbits Without Explicit Use of Manifolds....Pages 143-178
Time-Minimum Control of the Restricted Elliptic Three-Body Problem Applied to Space Transfer....Pages 179-208
On Local Optima in Minimum Time Control of the Restricted Three-Body Problem....Pages 209-302
