| Title:
|
Bifurcations in the two imaginary centers problem (English) |
| Author:
|
Chiralt, Cristina |
| Author:
|
Campos, Beatriz |
| Author:
|
Vindel, Pura |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
405-414 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs. (English) |
| Keyword:
|
bifurcation |
| Keyword:
|
topological configuration |
| Keyword:
|
orbital structure |
| MSC:
|
37G10 |
| MSC:
|
37G99 |
| idZBL:
|
Zbl 1249.37031 |
| idMR:
|
MR2985550 |
| DOI:
|
10.21136/MB.2011.141700 |
| . |
| Date available:
|
2011-11-10T15:52:54Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141700 |
| . |
| Reference:
|
[1] Pars, L. A.: A Treatise on Analytical Dynamics.Heinemann, London (1965). Zbl 0125.12004 |
| Reference:
|
[2] Beletsky, U. V.: Essays on the Motion of Celestial Bodies.Birkhäuser (2001). Zbl 0974.70002, MR 1851904 |
| Reference:
|
[3] Cordero, A., Alfaro, J. Martínez, Vindel, P.: Topology of the two fixed centres problem.Celestial Mechanics and Dynam. Astron. 82 (2002), 203-223. MR 1894248, 10.1023/A:1014545725377 |
| Reference:
|
[4] Campos, B., Alfaro, J. Martínez, Vindel, P.: Periodic orbit structure of the two fixed centres problem.Proc. of the Third International Workshop on Positional Astronomy and Celestial Mechanics. Ed. A. López et al. (1996). |
| . |
