Computer Science
Scientific paper
Jul 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005sosyr..39..322m&link_type=abstract
Solar System Research, Volume 39, Issue 4, pp.322-332
Computer Science
Scientific paper
We consider the problem of calculating the Lyapunov time (the characteristic time of predictable dynamics) of chaotic motion in the vicinity of separatrices of orbital resonances in satellite systems. The primary objects of study are the chaotic regimes that have occurred in the history of the orbital dynamics of the second and fifth Uranian satellites (Umbriel and Miranda) and the first and third Saturnian satellites (Mimas and Tethys). We study the dynamics in the vicinity of separatrices of the resonance multiplets corresponding to the 3 : 1 commensurability of mean motions of Miranda and Umbriel and the multiplets corresponding to the 2 : 1 commensurability of mean motions of Mimas and Tethys. These chaotic regimes have most probably contributed much to the long-term orbital evolution of the two satellite systems. The equations of motion have been numerically integrated to estimate the Lyapunov time in models corresponding to various epochs of the system evolution. Analytical estimates of the Lyapunov time have been obtained by a method (Shevchenko, 2002) based on the separatrix map theory. The analytical estimates have been compared to estimates obtained by direct numerical integration.
Mel'nikov A. V.
Shevchenko Ivan I.
No associations
LandOfFree
Chaotic Dynamics of Satellite Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chaotic Dynamics of Satellite Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaotic Dynamics of Satellite Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1469679