Comparing the fractal basins of attraction in the Hill problem with oblateness and radiation

被引：27

作者：

Zotos, Euaggelos E. ^{[1
]}

机构：

[1] Aristotle Univ Thessaloniki, Sch Sci, Dept Phys, Thessaloniki 54124, Greece

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2017年 / 362卷 / 10期

关键词：

Hill problem; Equilibrium points; Oblateness; Radiation; Fractal basin boundaries; RESTRICTED 3-BODY PROBLEM; NON-LINEAR EQUATIONS; SUPER-HALLEY METHOD; EQUILIBRIUM POINTS; 4-BODY PROBLEM; CHARACTERISTIC EXPONENTS; NONLINEAR EQUATIONS; COPENHAGEN PROBLEM; OPTIMAL ORDER; STABILITY;

D O I：

10.1007/s10509-017-3169-x

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The basins of convergence, associated with the roots (attractors) of a complex equation, are revealed in the Hill problem with oblateness and radiation, using a large variety of numerical methods. Three cases are investigated, regarding the values of the oblateness and radiation. In all cases, a systematic and thorough scan of the complex plane is performed in order to determine the basins of attraction of the several iterative schemes. The correlations between the attracting domains and the corresponding required number of iterations are also illustrated and discussed. Our numerical analysis strongly suggests that the basins of convergence, with the highly fractal basin boundaries, produce extraordinary and beautiful formations on the complex plane.

引用

页数：17

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