Computer Science
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phdt........21h&link_type=abstract
Thesis (PhD). UNIVERSITY OF MISSOURI - COLUMBIA, Source DAI-B 60/09, p. 4657, Mar 2000, 121 pages.
Computer Science
1
Scientific paper
The main purpose of this study is to utilize the method of partial averaging in order to analyze the dynamics of a planetary system while captured in resonance. A restricted planar circular three-body system, consisting of a star and two planets, is studied as a simple model for a planetary system. The mass of the inner planet is considered to be larger and the system is assumed to be moving in a freely rotating uniform interplanetary medium with constant density. Numerical integrations of this system indicate a resonance capture when the dynamical friction of the interplanetary medium is taken into account. As a result of this resonance trapping, the ratio of orbital periods of the two planets becomes nearly commensurable and the eccentricity and semimajor axis of the osculating orbit of the outer planet and also its angular momentum and total energy become constant. It appears from the numerical work that the resulting commensurability and also the resonant values of the orbital elements of the outer planet are essentially independent of the initial relative positions of the two bodies. In order to analytically explain this resonance phenomenon, the method of partial averaging near a resonance is utilized and the dynamics of the partially averaged system at resonance is studied. The finding that resonance lock occurs for all initial relative positions of the two planets is confirmed by analyzing the dynamics of the first order partially averaged system at resonance. It is also shown in this study that the first- order partially averaged system at resonance does not provide a complete picture of the evolutionary dynamics of the system and the similarity between the dynamical behavior of the averaged system and the main planetary system holds only for short time intervals. To overcome these limitations, the method of partial averaging near a resonance is extended to the second order of perturbation and a complete picture of the dynamical behavior of the system at resonance is presented. It is shown that the dynamics of the second-order partially averaged system at resonance resembles the dynamical evolution of the main system during the resonance lock in general. Analytical explanations for the evolution of the orbital elements of the main system while captured in resonance are also presented.
No associations
LandOfFree
Resonance lock and planetary dynamics 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 Resonance lock and planetary dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonance lock and planetary dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1512618