Order and Chaos in Dynamical Astronomy
Home > Mathematics and Science Textbooks > Physics > Applied physics > Astrophysics > Order and Chaos in Dynamical Astronomy: (Astronomy and Astrophysics Library)
Order and Chaos in Dynamical Astronomy: (Astronomy and Astrophysics Library)

Order and Chaos in Dynamical Astronomy: (Astronomy and Astrophysics Library)


     0     
5
4
3
2
1



International Edition


X
About the Book

There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and Galactic Dynamics. The first books on stellar dynamics dealt mainly with the statistics of stellar motions (e. g. Smart's "Stellar Dynamics" (1938), or Trumpler and Weaver's "Statistical Astronomy" (1953)). A classical book in this field is Chandrasekhar's "Principles of Stellar Dynamics" (1942) that dealt mainly with the time of relaxation, the solutions of Liouville's equation, and the dynamics of clusters. In the Dover edition of this book (1960) an extended Appendix was added, containing the statistical mechanics of stellar systems, a quite "modern" subject at that time. The need for a classroom book was covered for several years by the book of Mihalas and Routly "Galactic Astronomy" (1969). But the most complete book in this field is Binney and Tremaine's "Galactic Dynamics" (1987). This book covers well the classical topics of stellar dynamics, and many subjects of current interest. Another classical book in dynamical astronomy is the extensive 4-Volume treatise of Hagihara "Celestial Mechanics" (1970, 1972, 1974, 1975). In more recent years much progress has been made on new topics that are of vital interest for stellar and galactic dynamics. The main new topic is Chaos. The progress of the theory of chaos has influenced considerably the area of stellar and galactic dynamics. The study of order and chaos has provided a new dimension in dynamics.

Table of Contents:
From the contents: Historical Introduction.- Order and Chaos in General.- Terminology and Classification of Dynamical Systems.- Integrable Systems.- Third Integral.- Periodic Orbits.- Systems of Two Degrees of Freedom.- Transition from Order to Chaos.- The Last KAM Torus.- Large Perturbations.- Systems with Escapes.- Dynamical Spectra.- Systems of Three Degrees of Freedom.- Systems of N-Degrees of Freedom.- Fractals.- Order and Chaos in Galaxies.- Orbits in the Plane of Symmetry of a Galaxy.- Orbits in 3-D Galaxies.- Theoretical Orbits in Galaxies.- Self-Consistent Models.- N-Body Systems.- Dynamical Spectra of Galaxies.- Other Applications in Dynamical Astronomy.- Order and Chaos in the Solar System.- Relativistic Chaos.- Chaotic Cosmology.- Appendix A: A Particular Application of the Painleve Test.- Appendix B: Construction of an Integrable System with Higher Order Islands.- References.- Index.

Review :
From the reviews: "This excellent book should certainly find a good place in every library of research centres in astronomy and cosmology." (Physicalia, 25/3, 2003) "There is plenty of interesting and useful information in the book. [...] I was always puzzled as to why Lyapunov exponents of chaotic orbits take so long to converge, and now I understand." (Prasenjit Saha, Physics Today, Nov. 2003) "This book is the first to provide a general overview of order and chaos in this field of research.[…] This book, addressing especially astrophysicists, can also be used as a textbook on dynamical systems and astronomy for students in physics." (Zentralblatt MATH 2004, vol. 1041, page 69) "This book represents a collection of the experience accumulated by Contopoulos in about 50 years of activity. … Researchers in dynamical systems and in astronomy and astrophysics will find in this book excellent source of information … . Advanced students working in dynamical systems may use it as a complete textbook … . Students in dynamical astronomy will appreciate in particular the two sections devoted to the dynamics of galaxies and to other astronomical applications." (A. Giorgilli, Mathematical Reviews, 2004 f) "The study of orbits in nonlinear dynamical systems has progressed enormously over the last decades and thus became an important tool in dynamical astronomy. … This book is the first to provide a general overview of order and chaos in this field of research. … Quite useful and interesting is a list of more than seventy open problems … . This book, addressing especially astrophysicists, can also be used as a text book on dynamical systems and astronomy for students in physics." (Klaus Brod, Zentralblatt MATH, Vol. 1041 (16), 2004) "The author is a well-known scientist who has been involved in research in Dynamical Astronomy and Dynamics of galaxies for the last 50 years. … The amount of work done isimpressive, and the present Volume can be considered as a summary of ideas and numerical results obtained by the authors and collaborators. … The book can be interesting as a source of information for the heuristic discussions following the presentation of several concrete problems in Astronomy." (Carles Simó, SIAM DS Web, January, 2004) "If you are charmed by the order-chaos dichotomy, you will find much to enjoy in the book. … George Contopoulos has a half-century record of working on unusual but interesting problems. … It is interesting to have a pioneer’s view. … there is plenty of interesting and useful information in the book. … I was always puzzled as to why Lyapunov exponents of chaotic orbits take so long to converge, and now I understand." (Prasenjit Sinha, Physics Today, November, 2003) "This large monograph, more than 600 pages, is devoted to the modern approach of dynamical astronomy. … The author, who has largely contributed to the dynamical astronomy, gives here a complete panorama of this domain in a clear and modern presentation. Mathematical concepts of the theory are nicely presented with more than 350 figures in view to make things understandable. … This excellent book should certainly find a good place in every library of research centre in astronomy and cosmology." (Stéphane Métens, Physicalia, Vol. 25 (3), 2003) "This comprehensive book covers many important topics of dynamical systems with application to the contemporary understanding of stellar and galaxy structure and evolution. … It should be regarded as not only a good introduction to the complicated field of dynamical astronomy, but also as a handbook for many people working in different branches of contemporary physics and astrophysics. It, therefore, will be useful for many professionals and especially postgraduate university students … as well as for those specialized in mechanics and general dynamics." (A. M. Fridman and M. Ya. Marov,Solar System Research, Vol. 42 (3), 2008)


Best Sellers


Product Details
  • ISBN-13: 9783642077708
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 624
  • Returnable: N
  • Width: 155 mm
  • ISBN-10: 3642077706
  • Publisher Date: 01 Dec 2010
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Series Title: Astronomy and Astrophysics Library


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Order and Chaos in Dynamical Astronomy: (Astronomy and Astrophysics Library)
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG -
Order and Chaos in Dynamical Astronomy: (Astronomy and Astrophysics Library)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Order and Chaos in Dynamical Astronomy: (Astronomy and Astrophysics Library)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!