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

  • Euaggelos E. ZotosEmail author
  • Md Sanam Suraj
  • Rajiv Aggarwal
  • Amit Mittal
Original Paper


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.


Sitnikov problem Convergence basins Oblateness Fractal basin boundaries 


Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.


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© Springer Nature India Private Limited 2019

Authors and Affiliations

  • Euaggelos E. Zotos
    • 1
    Email author
  • Md Sanam Suraj
    • 2
  • Rajiv Aggarwal
    • 3
  • Amit Mittal
    • 4
  1. 1.Department of Physics, School of ScienceAristotle University of ThessalonikiThessalonikiGreece
  2. 2.Department of Mathematics, Sri Aurobindo CollegeUniversity of DelhiNew DelhiIndia
  3. 3.Department of Mathematics, Deshbandhu CollegeUniversity of DelhiNew DelhiIndia
  4. 4.Department of Mathematics, ARSD CollegeUniversity of DelhiNew DelhiIndia

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