| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
27 April 2024 |
|
| | | |
|
Article overview
| |
|
Fractal structures for the Jacobi Hamiltonian of restricted three-body problem | G. Rollin
; J. Lages
; D. L. Shepelyansky
; | Date: |
25 Sep 2015 | Abstract: | We study the dynamical chaos and integrable motion in the planar circular
restricted three-body problem and determine the fractal dimension of the spiral
strange repeller set of non-escaping orbits at different values of mass ratio
of binary bodies and of Jacobi integral of motion. We find that the spiral
fractal structure of the Poincar’e section leads to a spiral density
distribution of particles remaining in the system. We also show that the
initial exponential drop of survival probability with time is followed by the
algebraic decay related to the universal algebraic statistics of Poincar’e
recurrences in generic symplectic maps. | Source: | arXiv, 1509.7638 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |