Year: 2020
Author: Euaggelos E. Zotos
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 411–429
Abstract
We numerically investigate the convergence properties of the circular restricted three-body problem with prolate primaries, by using the Newton- Raphson iterative scheme. In particular, we examine how the oblateness coefficient $A$ influences several aspects of the method, such as its speed and efficiency. Color-coded diagrams are used for revealing the basins of convergence on the configuration space. Additionally, we compute the degree of fractality of the convergence basins on the physical plane, as a function of the oblateness coefficient, by using different computational tools, such as the uncertainty dimension and the (boundary) basin entropy.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.411
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 411–429
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Restricted three-body problem Oblateness parameter Basins of convergence.