@Article{JNMA-2-411, author = {E. Zotos , Euaggelos}, title = {Exploring the Planar Circular Restricted Three-Body Problem with Prolate Primaries}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.411}, url = {http://global-sci.org/intro/article_detail/jnma/18819.html} }