Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011mnras.418..107l&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 418, Issue 1, pp. 107-113.
Astronomy and Astrophysics
Astronomy
Chaos, Methods: Analytical, Methods: Numerical, Space Vehicles, Celestial Mechanics
Scientific paper
The detection and identification of resonances is a key ingredient in the studies of stability of dynamical systems, with important applications for our Solar as well as for extrasolar systems. In this paper we study the detection of resonances and close encounters in the three-body problem using the fast Lyapunov indicator method. In order to investigate the close encounters, we needed to adapt the method to the model and its singularities. Our technical improvement lies in computation of the solutions of the singular variational equations by measuring the divergence of close initial conditions. We have used the Levi-Civita regularization for the integration of the equations of motion. As an application of the method, we show that it provides a correct detection of the tube manifolds related to the Lagrangian point L1 of the Sun-Jupiter system.
Froeschlé Ch.
Guzzo Marcelo M.
Lega Elena
No associations
LandOfFree
Detection of close encounters and resonances in three-body problems through Levi-Civita regularization 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 Detection of close encounters and resonances in three-body problems through Levi-Civita regularization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Detection of close encounters and resonances in three-body problems through Levi-Civita regularization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-745101