Capture Dynamics and Chaotic Motions in Celestial Mechanics: With Applications to the Construction of Low Energy Transfers by Edward Belbruno (Hardback, 2004)
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- DescriptionThis book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astromy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbru argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbru used a new route developed from this theory to get a stray Japanese satellite back on course to the moon. This application provided a major verification of his theory, representing the first application of chaos to space travel. Since that time, the theory has been used in other space missions, and NASA is implementing new applications under Belbru's direction. The use of invariant manifolds to find low energy orbits is ather method here addressed. Recent work on estimating weak stability boundaries and related regions has also given mathematical insight into chaotic motion in the three-body problem. Belbru further considers different capture and escape mechanisms, and resonance transitions. Providing a rigorous theoretical framework that incorporates both recent developments such as Aubrey-Mather theory and established fundamentals like Kolmogorov-Arld-Moser theory, this book represents an indispensable resource for graduate students and researchers in the disciplines concerned as well as practitioners in fields such as aerospace engineering.
- Author BiographyEdward Belbruno has been a Visiting Research Collaborator in the Program in Applied and Computational Mathematics at Princeton University since 1998. The author of numerous articles in professional journals in mathematics, astronomy, and aerospace engineering, he received the Laurel Award in 1999 for the salvage of a Hughes satellite in 1998 using lunar transfer.
- Author(s)Edward Belbruno
- PublisherPrinceton University Press
- Date of Publication05/01/2004
- Place of PublicationNew Jersey
- Country of PublicationUnited States
- ImprintPrinceton University Press
- Content Note20 line illus.
- Weight457 g
- Width152 mm
- Height229 mm
- Spine19 mm
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