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Celestial Mechanics: Dedicated to Donald Saari for his 60th Birthday
 
Edited by: Alain Chenciner Institute de Mécanique Céleste, Paris, France
Richard Cushman University of Utrecht, Utrecht, Netherlands
Clark Robinson Northwestern University, Evanston, IL
Zhihong Jeff Xia Northwestern University, Evanston, IL
Celestial Mechanics
Softcover ISBN:  978-0-8218-2902-8
Product Code:  CONM/292
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7882-8
Product Code:  CONM/292.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2902-8
eBook: ISBN:  978-0-8218-7882-8
Product Code:  CONM/292.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Celestial Mechanics
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Celestial Mechanics: Dedicated to Donald Saari for his 60th Birthday
Edited by: Alain Chenciner Institute de Mécanique Céleste, Paris, France
Richard Cushman University of Utrecht, Utrecht, Netherlands
Clark Robinson Northwestern University, Evanston, IL
Zhihong Jeff Xia Northwestern University, Evanston, IL
Softcover ISBN:  978-0-8218-2902-8
Product Code:  CONM/292
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7882-8
Product Code:  CONM/292.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2902-8
eBook ISBN:  978-0-8218-7882-8
Product Code:  CONM/292.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2922002; 270 pp
    MSC: Primary 70; 37

    This volume reflects the proceedings from an international conference on celestial mechanics held at Northwestern University (Evanston, IL) in celebration of Donald Saari's sixtieth birthday. Many leading experts and researchers presented their recent results.

    This volume reflects the proceedings from an international conference on celestial mechanics held at Northwestern University (Evanston, IL) in celebration of Donald Saari's sixtieth birthday. Many leading experts and researchers presented their recent results.

    Don Saari's significant contribution to the field came in the late 1960s through a series of important works. His work revived the singularity theory in the \(n\)-body problem which was started by Poincari and Painlevi. Saari's solution of the Littlewood conjecture, his work on singularities, collision and noncollision, on central configurations, his decompositions of configurational velocities, etc., are still much studied today and were reflected throughout the conference.

    This volume covers various topics of current research, from central configurations to stability of periodic orbits, from variational methods to diffusion mechanisms, from the dynamics of secular systems to global dynamics of the solar systems via frequency analysis, from Hill's problem to the low energy transfer orbits and mission design in space travel, and more. This classic field of study is very much alive today and this volume offers a comprehensive representation of the latest research results.

    Works by Don Saari published by the AMS include Chaotic Elections! A Mathematician Looks at Voting, ELECT, Hamiltonian Dynamics and Celestial Mechanics (Contemporary Mathematics series, Volume 198), CONM/198, and Hamiltonian Dynamical Systems (Contemporary Mathematics series, Volume 81) CONM/81.

    Readership

    Graduate students and research mathematicians interested in mechanics of particles and systems, dynamical systems, and ergodic theory.

  • Table of Contents
     
     
    • Articles
    • Alain Albouy and Jaume Llibre — Spatial central configurations for the $1+4$ body problem [ MR 1884890 ]
    • Edward Belbruno — Analytic estimation of weak stability boundaries and low energy transfers [ MR 1884891 ]
    • Frits Beukers and Richard Cushman — The complex geometry of the spherical pendulum [ MR 1884892 ]
    • Alain Chenciner — Action minimizing periodic orbits in the Newtonian $n$-body problem [ MR 1884893 ]
    • Montserrat Corbera and Jaume Llibre — On symmetric periodic orbits of the elliptic Sitnikov problem via the analytic continuation method [ MR 1884894 ]
    • Wang Sang Koon, Jerrold E. Marsden, Shane D. Ross and Martin W. Lo — Constructing a low energy transfer between Jovian moons [ MR 1884895 ]
    • Ernesto A. Lacomba, Jaume Llibre and Ernesto Perez-Chavela — The generalized Sitnikov problem [ MR 1884896 ]
    • C. Marchal — Reflexions on the future of celestial mechanics [ MR 1884897 ]
    • Richard Moeckel — Generic drift on Cantor sets of annuli [ MR 1884898 ]
    • Richard Montgomery — Action spectrum and collisions in the planar three-body problem [ MR 1884899 ]
    • Paul H. Rabinowitz and Edward W. Stredulinsky — A variational shadowing method [ MR 1884900 ]
    • Clark Robinson — Symbolic dynamics for transition tori [ MR 1884901 ]
    • Carles Simó — Dynamical properties of the figure eight solution of the three-body problem [ MR 1884902 ]
    • Yi-Sui Sun, Ji-Lin Zhou, Jia-Qing Zheng and Mauri Valtonen — Diffusion in comet motion [ MR 1884903 ]
    • Qiudong Wang — The Hill’s region of the four-body problem [ MR 1884904 ]
    • Zhihong Xia — Some of the problems that Saari didn’t solve [ MR 1884905 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2922002; 270 pp
MSC: Primary 70; 37

This volume reflects the proceedings from an international conference on celestial mechanics held at Northwestern University (Evanston, IL) in celebration of Donald Saari's sixtieth birthday. Many leading experts and researchers presented their recent results.

This volume reflects the proceedings from an international conference on celestial mechanics held at Northwestern University (Evanston, IL) in celebration of Donald Saari's sixtieth birthday. Many leading experts and researchers presented their recent results.

Don Saari's significant contribution to the field came in the late 1960s through a series of important works. His work revived the singularity theory in the \(n\)-body problem which was started by Poincari and Painlevi. Saari's solution of the Littlewood conjecture, his work on singularities, collision and noncollision, on central configurations, his decompositions of configurational velocities, etc., are still much studied today and were reflected throughout the conference.

This volume covers various topics of current research, from central configurations to stability of periodic orbits, from variational methods to diffusion mechanisms, from the dynamics of secular systems to global dynamics of the solar systems via frequency analysis, from Hill's problem to the low energy transfer orbits and mission design in space travel, and more. This classic field of study is very much alive today and this volume offers a comprehensive representation of the latest research results.

Works by Don Saari published by the AMS include Chaotic Elections! A Mathematician Looks at Voting, ELECT, Hamiltonian Dynamics and Celestial Mechanics (Contemporary Mathematics series, Volume 198), CONM/198, and Hamiltonian Dynamical Systems (Contemporary Mathematics series, Volume 81) CONM/81.

Readership

Graduate students and research mathematicians interested in mechanics of particles and systems, dynamical systems, and ergodic theory.

  • Articles
  • Alain Albouy and Jaume Llibre — Spatial central configurations for the $1+4$ body problem [ MR 1884890 ]
  • Edward Belbruno — Analytic estimation of weak stability boundaries and low energy transfers [ MR 1884891 ]
  • Frits Beukers and Richard Cushman — The complex geometry of the spherical pendulum [ MR 1884892 ]
  • Alain Chenciner — Action minimizing periodic orbits in the Newtonian $n$-body problem [ MR 1884893 ]
  • Montserrat Corbera and Jaume Llibre — On symmetric periodic orbits of the elliptic Sitnikov problem via the analytic continuation method [ MR 1884894 ]
  • Wang Sang Koon, Jerrold E. Marsden, Shane D. Ross and Martin W. Lo — Constructing a low energy transfer between Jovian moons [ MR 1884895 ]
  • Ernesto A. Lacomba, Jaume Llibre and Ernesto Perez-Chavela — The generalized Sitnikov problem [ MR 1884896 ]
  • C. Marchal — Reflexions on the future of celestial mechanics [ MR 1884897 ]
  • Richard Moeckel — Generic drift on Cantor sets of annuli [ MR 1884898 ]
  • Richard Montgomery — Action spectrum and collisions in the planar three-body problem [ MR 1884899 ]
  • Paul H. Rabinowitz and Edward W. Stredulinsky — A variational shadowing method [ MR 1884900 ]
  • Clark Robinson — Symbolic dynamics for transition tori [ MR 1884901 ]
  • Carles Simó — Dynamical properties of the figure eight solution of the three-body problem [ MR 1884902 ]
  • Yi-Sui Sun, Ji-Lin Zhou, Jia-Qing Zheng and Mauri Valtonen — Diffusion in comet motion [ MR 1884903 ]
  • Qiudong Wang — The Hill’s region of the four-body problem [ MR 1884904 ]
  • Zhihong Xia — Some of the problems that Saari didn’t solve [ MR 1884905 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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