On bridges B(pL, qS) around triangular libration points |
| |
| Authors: | X Y Hou L Liu |
| |
| Institution: | (1) Astronomy Department, Nanjing University, Nanjing, 210093, China;(2) Institute of Space Environment and Astronautics, Nanjing University, Nanjing, 210093, China |
| |
| Abstract: | When μ is smaller than Routh’s critical value μ
1 = 0.03852 . . . , two planar Lyapunov families around triangular libration points exist, with the names of long and short
period families. There are periodic families which we call bridges connecting these two Lyapunov families. With μ increasing from 0 to 1, how these bridges evolve was studied. The interval (0,1) was divided into six subintervals (0, μ
5), (μ
5, μ
4), (μ
4, μ
3), (μ
3, μ
2), (μ
2, μ
1), (μ
1, 1), and in each subinterval the families B(pL, qS) were studied, along with the families B(qS, qS′). Especially in the interval (μ
2, μ
1), the conclusion that the bridges B(qS, qS′) do not exist was obtained. Connections between the short period family and the bridges B(kS, (k + 1)S) were also studied. With these studies, the structure of the web of periodic families around triangular libration points
was enriched. |
| |
| Keywords: | Restricted three-body problem Triangular libration point Periodic orbit Bridges connecting Lyapunov families |
| 本文献已被 SpringerLink 等数据库收录！ |
|
