|
| Exploring the Planar Circular RestrictedThree-body Problem with Prolate Primaries |
| |
| View Full Text View/Add Comment Download reader |
| KeyWord:Restricted three-body problem Oblateness parameter Basins of convergence |
|
| Hits: 339 |
| Download times: 592 |
| Abstract: |
| We numerically investigate the convergence properties of the circu-
lar restricted three-body problem with prolate primaries, by using the Newton-
Raphson iterative scheme. In particular, we examine how the oblateness co-
efficient A influences several aspects of the method, such as its speed and
efficiency. Color-coded diagrams are used for revealing the basins of conver-
gence 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. |
|
|
|
