Position and velocity sensitivities at the triangular libration points |
| |
| Authors: | D G Tuckness |
| |
| Institution: | (1) Assistant Professor of Aerospace Engineering, University of Texas at Arlington, P.O. Box 19018, 76019-0018 Arlington, TX, U.S.A. |
| |
| Abstract: | 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 ( ) 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 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. |
| |
| Keywords: | Three body problem stability surface of section commensurability |
| 本文献已被 SpringerLink 等数据库收录！ |
|
