TY - JOUR
T1 - Exploring the Planar Circular Restricted Three-Body Problem with Prolate Primaries
AU - E. Zotos , Euaggelos
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 411
EP - 429
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.411
UR - https://global-sci.org/intro/article_detail/jnma/18819.html
KW - Restricted three-body problem, Oblateness parameter, Basins of
convergence.
AB - <p style="text-align: justify;">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.</p>