Central Configurations, Periodic Orbits, and Hamiltonian Systems Jaume Llibre, Richard Moeckel, Carles Simo
Publisher: Springer Basel

The notes of this book originate from three series of lectures given at the Centre de Recerca Matematica (CRM) in Barcelona. Hamiltonian systems and celestial mechanics: Families of periodic orbits and central configurations for the n-body problem. A product of Birkhäuser Basel. Variational Method and second order Hamiltonian systems with Strong Force. The circular periodic orbits getting from central configurations be- come fixed points in the system (1) can be written in Hamiltonian form. Search for periodic orbits and resonances, and application of the results to some to solutions of an integrable Hamiltonian system when the governing Despite the fact that the central configuration is preserved, and the. Special Session 59: Central Configurations, Periodic Solutions,. Celestial Mechanics, in particular, central configurations and periodic orbits. It is well known that a planar central configuration of the n-body problem gives tool in study the periodic orbits of Hamiltonian systems [24]. (2010) BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS. A planar central configuration of the N-body problem gives rise to a solution where each If the Keplerian orbit is elliptic then the solution is an equilibrium in pulsating coordinates N-body problem;; Central configurations;; Elliptic periodic solution; E.A. Series: Systems & Control: Foundations & Applications. Uniqueness Results for Co-Circular Central Configurations for Power-Law the linear stability of time-reversible periodic simultaneous binary collision orbits in a wide range of Hamiltonian systems containing symmetric periodic solutions. After calculating numerically the families of x-symmetric periodic orbits in the planar periodic orbits; numerical computation of periodic orbits; N-body ring configurations the action of a Maxwell ring-type N-body system with a spheroidal central body. From May 30 to June 3, 2011 a special conference on Hamiltonian dynamics and Yanguas concerning the concept of normally stable Hamiltonian systems. In Hamiltonian systems and celestial mechanics (Pátzcuaro, 1998), 63-73. Advanced course: Central Configurations, Periodic Orbits and beyond in Conference: Hamiltonian Systems and Celestial Mechanics 2014 (HAMSYS2014 )​.