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020 _a0691094802
037 _cTextbook
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB9:3 P4 TB
_qCSL
100 _aBelbruno, Edward
_91104408
245 0 _aCapture dynamics and chaotic motions in celestial mechanics:with applications to the constrution of low energy transfers
260 _aPrinceton,
_bPrinceton University Press:
_c2004.
300 _avi, 211p.
_b: ill.
500 _aBibliography 193-208p.; Index 209-211p.
520 _aThis 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 astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated.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 Belbruno 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 Belbruno's direction. The use of invariant manifolds to find low energy orbits is another 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. Belbruno 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-Arnold-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.
650 _aCapture dynamics
_91104409
650 _a Celestial mechanics
_91104410
650 _aMathematics
_91104411
942 _hB9:3 P4 TB
_cTB
_2CC
_n0
999 _c19561
_d19561