Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..82..163b&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 82, Issue 2, p. 163-177 (2002).
Astronomy and Astrophysics
Astronomy
5
Lagrange Point, Normal Form, Periodic Solutions, Soft Instability, 1 : 1 Resonance, Lagrange Point, Normal Form, Periodic Solutions, Soft Instability, 1 : 1 Resonance
Scientific paper
We deal with the planar restricted circular problem of three bodies. We study trajectories in a small neighborhood of the Lagrange equilibrium point L 4 when mass ratio is close to Routh's value. In particular, we show that the case of proper degeneracy takes place and for most initial conditions trajectories are conditionally-periodic. We obtain an approximate representation of families of periodic solution emanating from the equilibrium point L 4. We also show that in the case of instability of L 4 the trajectories starting in a vicinity of L 4 remain in a finite domain forever. We give an upper bound of this domain. To carry out our investigation, we analyze the dynamics of a general Hamiltonian system with two degrees of freedom in the case of 1 : 1 resonance in detail.
No associations
LandOfFree
On Motions Near the Lagrange Equilibrium Point L 4 in the Case of Routh's Critical Mass Ratio 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 On Motions Near the Lagrange Equilibrium Point L 4 in the Case of Routh's Critical Mass Ratio, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Motions Near the Lagrange Equilibrium Point L 4 in the Case of Routh's Critical Mass Ratio will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1793777