Moeckel, Richard

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

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

Free time minimizers for the three-body problem by Richard Moeckel( )

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

Non-Ergodicity of the Nosé-Hoover Thermostatted Harmonic Oscillator by Frédéric Legoll( )

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

Counting relative equilibrium configurations of the full two-body problem by Richard Moeckel( )

1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide

Realizing all reduced syzygy sequences in the planar three-body problem( )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

Abstract The configuration space of the planar three-body 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 rotation-reduced Newtonian planar three-body 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