Browsing Mathematics publications (MU) by Subject "Celestial mechanics"
Now showing items 13 of 3

Chaos in the Hill system
(arXiv, 199912)We define the general Hill system and briefly analyze its dynamical behavior. A particular Hill system representing the interaction of a Keplerian binary system with a normally incident circularly polarized gravitational ... 
Chaos in the Kepler system
(American Institute of Physics, 199902)The longterm dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to ... 
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
(American Institute of Physics, 199707)The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational ...