Capture Dynamics and Chaotic Motions in Celestial Mechanics: With Applications to the Construction of Low Energy Transfers
This 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. Br...
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Format: | Elektronisch E-Book |
Sprache: | English |
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Princeton, NJ
Princeton University Press
[2018]
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Online-Zugang: | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 Volltext |
Zusammenfassung: | This 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 Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated.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 |
Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) |
Beschreibung: | 1 online resource |
ISBN: | 9780691186436 |
DOI: | 10.1515/9780691186436 |
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Datensatz im Suchindex
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adam_text | |
any_adam_object | |
author | Belbruno, Edward |
author_facet | Belbruno, Edward |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 521 - Celestial mechanics |
dewey-raw | 521 |
dewey-search | 521 |
dewey-sort | 3521 |
dewey-tens | 520 - Astronomy and allied sciences |
discipline | Physik |
doi_str_mv | 10.1515/9780691186436 |
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id | DE-604.BV045878889 |
illustrated | Not Illustrated |
indexdate | 2025-02-19T17:24:42Z |
institution | BVB |
isbn | 9780691186436 |
language | English |
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publishDate | 2018 |
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publisher | Princeton University Press |
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spelling | Belbruno, Edward Verfasser aut Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers Edward Belbruno Princeton, NJ Princeton University Press [2018] © 2004 1 online resource txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) This 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 In English Celestial mechanics Chaotic behavior in systems Gravity assist (Astrodynamics) Many-body problem Mehrkörpersystem (DE-588)4038390-8 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 s Mehrkörpersystem (DE-588)4038390-8 s Chaotisches System (DE-588)4316104-2 s 1\p DE-604 https://doi.org/10.1515/9780691186436 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Belbruno, Edward Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers Celestial mechanics Chaotic behavior in systems Gravity assist (Astrodynamics) Many-body problem Mehrkörpersystem (DE-588)4038390-8 gnd Chaotisches System (DE-588)4316104-2 gnd Himmelsmechanik (DE-588)4127484-2 gnd |
subject_GND | (DE-588)4038390-8 (DE-588)4316104-2 (DE-588)4127484-2 |
title | Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers |
title_auth | Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers |
title_exact_search | Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers |
title_full | Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers Edward Belbruno |
title_fullStr | Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers Edward Belbruno |
title_full_unstemmed | Capture Dynamics and Chaotic Motions in Celestial Mechanics With Applications to the Construction of Low Energy Transfers Edward Belbruno |
title_short | Capture Dynamics and Chaotic Motions in Celestial Mechanics |
title_sort | capture dynamics and chaotic motions in celestial mechanics with applications to the construction of low energy transfers |
title_sub | With Applications to the Construction of Low Energy Transfers |
topic | Celestial mechanics Chaotic behavior in systems Gravity assist (Astrodynamics) Many-body problem Mehrkörpersystem (DE-588)4038390-8 gnd Chaotisches System (DE-588)4316104-2 gnd Himmelsmechanik (DE-588)4127484-2 gnd |
topic_facet | Celestial mechanics Chaotic behavior in systems Gravity assist (Astrodynamics) Many-body problem Mehrkörpersystem Chaotisches System Himmelsmechanik |
url | https://doi.org/10.1515/9780691186436 |
work_keys_str_mv | AT belbrunoedward capturedynamicsandchaoticmotionsincelestialmechanicswithapplicationstotheconstructionoflowenergytransfers |