Central Configurations, Periodic Orbits, and Hamiltonian Systems

by Carles Simo, Richard Moeckel, Jaume Llibre

1 The Averaging Theory for Computing Periodic Orbits.- Introduction: the classical theory.- Averaging theory for arbitrary order and dimension.- Three applications of Theorem.- 2 Lectures on Central Configurations.- The n-body problem.- Symmetries and integrals.- Central configurations and self-similar solutions.- Matrix equations of motion.- Homographic motions of central configurations in Rd.- Albouy-Chenciner reduction and relative equilibria in...

• Format: Paperback
• Language: English
• ISBN: 3034809328
• ISBN13: 9783034809320
• Release Date: December 2015
• Publisher: Birkhauser
• Length: 232 Pages
• Weight: 0.87 lbs.
• Dimensions: 0.5" x 6.7" x 9.6"