Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61....1t&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 61, Issue 1, pp.1-19
Astronomy and Astrophysics
Astronomy
6
Three Body Problem, Stability, Surface Of Section, Commensurability
Scientific paper
The model of the circular restricted problem of three bodies is used to investigate the sensitivity of the third body motion when it is given a positional or velocity deviation away from the L4 triangular libration point. The x-axis is used as a criteria for defining the stability of the third body motion. Poincaré's surfaces of section are used to compare the regions of periodic, quasi-periodic and stochastic motion to the trajectories found using the definition of stability (not crossing the x-axis) defined in this study. Values of the primary/secondary mass ratios (μ) ranging from 0 to the linear critical value 0.038521... are investigated. Using this new form of stability measure, it is determined that certain values of μ are more stable than others. The results of this study are compared, and found, to give agreeable results to other studies which investigate commensurabilities of the long and short period terms of periodic orbits.
No associations
LandOfFree
Position and Velocity Sensitivities at the Triangular Libration Points 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 Position and Velocity Sensitivities at the Triangular Libration Points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Position and Velocity Sensitivities at the Triangular Libration Points will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1820341