On the Convergence Dynamics of the Sitnikov Problem with Non-spherical Primaries View Full Text


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Article Info

DATE

2019-04

AUTHORS

Euaggelos E. Zotos, Md Sanam Suraj, Rajiv Aggarwal, Amit Mittal

ABSTRACT

We investigate, using numerical methods, the convergence dynamics of the Sitnikov problem with non-spherical primaries, by applying the Newton–Raphson iterative scheme. In particular, we examine how the oblateness parameter A influences several aspects of the method, such as its speed and efficiency. Color-coded diagrams are used for revealing the convergence basins on the plane of complex numbers. Moreover, we compute the degree of fractality of the convergence basins on the complex space, as a relation of the oblateness, by using different computational tools, such the fractal dimension as well as the (boundary) basin entropy. More... »

PAGES

43

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URI

http://scigraph.springernature.com/pub.10.1007/s40819-019-0627-x

DOI

http://dx.doi.org/10.1007/s40819-019-0627-x

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https://app.dimensions.ai/details/publication/pub.1112768661


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