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 #  AuthorTitleAccn#YearItem Type Claims
1 Mauri Valtonen Three-body problem 024696 2006 Book  
2 Richard Fitzpatrick Introduction to celestial mechanics 024464 2012 Book  
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TitleThree-body problem
Author(s)Mauri Valtonen;Hannu Karttunen
PublicationCambridge, Cambridge University Press, 2006.
Descriptionx, 345p.
Abstract NoteHow do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.
ISBN,Price9780521852241 : UKP 63.00(HB)
Classification521.135
Keyword(s)1. CELESTIAL MECHANICS 2. HAMILTONIAN MECHANICS 3. LAGRAGIAN MECHANICS 4. PERTURBATION (ASTRONOMY) 5. THREE BODY PROBLEM
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
024696   521.135/VAL/024696  Issued PS04: Swapnil Prabhudesai 06/May/2023

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TitleIntroduction to celestial mechanics
Author(s)Richard Fitzpatrick
PublicationCambridge, Cambridge University Press, 2012.
Descriptionx, 266p.
Abstract NoteThis accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.
ISBN,Price9781107023819 : US $65.00(HB)
Classification521.1
Keyword(s)1. CELESTIAL MECHANICS 2. EBOOK 3. EBOOK - CAMBRIDGE UNIVERSITY PRESS 4. KEPLERIAN ORBIT 5. LAGRAGIAN MECHANICS 6. RIGID BODY MOTION 7. ROCHE RADIUS
Item TypeBook
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Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
024464   521.1/FIT/024464  On Shelf    
OB0454   521.1/FIT/  On Shelf    

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