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:
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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:
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2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141700 |
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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). |
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