Moeckel, Richard
Overview
Works:  9 works in 28 publications in 2 languages and 296 library holdings 

Roles:  Author, Other, Opponent, htt 
Classifications:  QA614.83, 515.35 
Publication Timeline
.
Most widely held works by
Richard Moeckel
Central configurations, periodic orbits, and Hamiltonian systems by
Jaume Llibre(
)
19 editions published in 2015 in English and held by 283 WorldCat member libraries worldwide
The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems. The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications
19 editions published in 2015 in English and held by 283 WorldCat member libraries worldwide
The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems. The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications
Minimal energy configurations of gravitationally interacting rigid bodies by
Richard Moeckel(
)
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
Free time minimizers for the threebody problem by
Richard Moeckel(
)
1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide
Propriétés du système séculaire by
Khaled Abdullah(
)
2 editions published between 2001 and 2019 in French and held by 2 WorldCat member libraries worldwide
2 editions published between 2001 and 2019 in French and held by 2 WorldCat member libraries worldwide
NonErgodicity of the NoséHoover Thermostatted Harmonic Oscillator by
Frédéric Legoll(
)
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
Minimal Geodesics of the Isosceles Three Body Problem by
Richard Moeckel(
)
1 edition published in 2020 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2020 in English and held by 2 WorldCat member libraries worldwide
Counting relative equilibrium configurations of the full twobody problem by
Richard Moeckel(
)
1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide
Realizing all reduced syzygy sequences in the planar threebody problem(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract The configuration space of the planar threebody problem, reduced by rotations and with collisions excluded, has a rich topology which supports a large set of free homotopy classes. These classes have a simple description in terms of syzygy (or eclipse) sequences. Each homotopy class corresponds to a unique 'reduced' syzygy sequence. We prove that each reduced syzygy sequence is realized by a periodic solution of the rotationreduced Newtonian planar threebody problem. The realizing solutions have small, nonzero angular momentum, repeatedly come very close to triple collision, and have lots of 'stutters'repeated syzygies of the same type, which cancel out up to homotopy. The heart of the proof stems from the work by one of us on symbolic dynamics arising out of the central configurations after the triple collision is blown up using McGehee's method. We end with a list of open problems
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract The configuration space of the planar threebody problem, reduced by rotations and with collisions excluded, has a rich topology which supports a large set of free homotopy classes. These classes have a simple description in terms of syzygy (or eclipse) sequences. Each homotopy class corresponds to a unique 'reduced' syzygy sequence. We prove that each reduced syzygy sequence is realized by a periodic solution of the rotationreduced Newtonian planar threebody problem. The realizing solutions have small, nonzero angular momentum, repeatedly come very close to triple collision, and have lots of 'stutters'repeated syzygies of the same type, which cancel out up to homotopy. The heart of the proof stems from the work by one of us on symbolic dynamics arising out of the central configurations after the triple collision is blown up using McGehee's method. We end with a list of open problems
Embedding the Kepler Problem as a Surface of Revolution by
Richard Moeckel(
)
1 edition published in 2018 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 0 WorldCat member libraries worldwide
Audience Level
0 

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Kids  General  Special 
Related Identities
 Simó i Torres, Carles
 Llibre, Jaume Author
 Cors Iglesias, Josep Maria Editor
 Ponc, Enrique Editor
 Corbera, Montserrat Editor
 SpringerLink (Online service) Other
 Chapront, Jean (1939...). Opponent
 Sánchez Morgado, Héctor Other
 Legoll, Frédéric Author
 Robutel, Philippe Opponent