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Short Time Lyapunov Indicators in the Restricted Three-Body Problem |
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| Authors: | Zsolt Sàndor Róbert Balla Ferenc Téger Bálint Érdi |
| Institution: | (1) Konkoly Observatory of the Hungarian Academy of Sciences, H-1525 Budapest, P.O. Box 67, Hungary;(2) Department of Astronomy, Eötvös University, H-1117 Budapest, Pázmány Péter sétány 1/A, Hungary;(3) Present address: Department of Astronomy, Eötvös University, H-1117 Budapest, Pázmány Péter sétány 1/A, Hungary |
| Abstract: | We applied the method of the short time Lyapunov indicators to the planar circular and to the planar elliptic restricted three-body problem in order to study the structure of the phase space in some selected regions. In the circular case we computed the short-time averages of the stretching numbers to distinguish between regular and chaotic domains of the phase space. The results obtained in this way are in good agreement with the corresponding Poincaré's surface of sections. Using the short time Lyapunov indicators we determined the detailed structure of the phase space in the semi-major axis-eccentricity plane of the test particle both in the circular and in the elliptic restricted problem (in the latter case for some values of the eccentricities of the primaries) and we studied the main features of the phase space.This revised version was published online in October 2005 with corrections to the Cover Date. |
| Keywords: | restricted three-body problem Poincaré |
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