首页 | 本学科首页   官方微博 | 高级检索  
     检索      


The dynamics of the de Sitter resonance
Authors:Alessandra Celletti  Fabrizio Paita  Giuseppe Pucacco
Institution:1.Department of Mathematics,University of Rome Tor Vergata,Rome,Italy;2.Department of Physics,University of Rome Tor Vergata,Rome,Italy
Abstract:We study the dynamics of the de Sitter resonance, namely the stable equilibrium configuration of the first three Galilean satellites. We clarify the relation between this family of configurations and the more general Laplace resonant states. In order to describe the dynamics around the de Sitter stable equilibrium, a one-degree-of-freedom Hamiltonian normal form is constructed and exploited to identify initial conditions leading to the two families. The normal form Hamiltonian is used to check the accuracy in the location of the equilibrium positions. Besides, it gives a measure of how sensitive it is with respect to the different perturbations acting on the system. By looking at the phase plane of the normal form, we can identify a Laplace-like configuration, which highlights many substantial aspects of the observed one.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号