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

2019 ◽  
Vol 5 (2) ◽  
Author(s):  
Euaggelos E. Zotos ◽  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Amit Mittal
Keyword(s):  
Sitnikov Problem

Stability and bifurcations of even periodic orbits in the Sitnikov problem

2018 ◽  
Vol 130 (12) ◽  
Author(s):  
Jorge Galán-Vioque ◽  
Daniel Nuñez ◽  
Andrés Rivera ◽  
Camila Riccio
Keyword(s):  
Periodic Orbits ◽  
Sitnikov Problem ◽  
Stability And Bifurcations

Stabilized Chaos in The Sitnikov Problem

2008 ◽  
pp. 301-305
Author(s):  
A. R. Dzhanoev ◽  
A. Loskutov ◽  
J. E. Howard ◽  
M. A. F. Sánju
Keyword(s):  
Sitnikov Problem

Influence of the gravitational radius on asymptotic behavior of the relativistic Sitnikov problem

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Juan D. Bernal ◽  
Jesús M. Seoane ◽  
Juan C. Vallejo ◽  
Liang Huang ◽  
Miguel A. F. Sanjuán
Keyword(s):  
Asymptotic Behavior ◽  
Sitnikov Problem ◽  
Gravitational Radius

scholarly journals Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Marco Rosales-Vera
Keyword(s):  
Analytical Solutions ◽  
Asymptotic Expansions ◽  
Matched Asymptotic Expansions ◽  
Sitnikov Problem ◽  
Third Body ◽  
The Third ◽  
Long Period ◽  
Large Oscillation ◽  
Analytical Expressions

The circular Sitnikov problem is revisited, using matched asymptotic expansions. In the case of large oscillation periods, approximate analytical expressions for the period and the orbit of the third body are found. The results are compared with those described in the literature and show that the movement of the third body can be well described by two analytical solutions, the inner and outer solutions.

Numerical results to the Sitnikov-problem

1993 ◽  
Vol 56 (1-2) ◽  
pp. 71-80 ◽  
Author(s):  
R. Dvorak
Keyword(s):  
Numerical Results ◽  
Sitnikov Problem

Transient chaos in the Sitnikov problem

2009 ◽  
Vol 105 (4) ◽  
pp. 289-304 ◽  
Author(s):  
T. Kovács ◽  
B. Érdi
Keyword(s):  
Transient Chaos ◽  
Sitnikov Problem
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