Computation of libration point orbits and manifolds using collocation methods

This thesis contains a methodology whose aim is to compute trajectories describing natural motion of the phase space in a neighborhood of Libtation points and stable/unstable manifolds which correspond to these orbits in the Restricted Three Body Problem. There are two models the Circular Restricted Three Body Problem and Elliptic Restricted Three Body Problem which are special cases of RTBP . In this paper we pay attention to CRTBP which is autonomous (depending on time). The CRTBP is the most easily understood and well-analysed in a coordinate system rotating with two large bodies. The method is based on the collocation method implemented in AUTO - 07p software and must provide an isolated periodic solution. The paper includes explanation of the collocation method, its application in case of CRTBP, numerical and graphical results of its implementation

Public opinion in Putin’s Russia. The public sphere, opinion climate and ‘authoritarian bias’

Russian public opinion polls regularly report approval ratings of 84% to 86% for President Vladimir Putin – but can we trust those figures? This question has come to the fore after the events of 2014. Although Putin’s decision to annex Crimea, with the subsequent broad confrontation with the West, was seen by many as extremely damaging for the country’s long-term development, Putin’s approval ratings have shown almost unquestioning support for his policies. Does this support reveal deep-rooted anti-Westernism in Russian society, or an imperialistic mood? Or is it the result of intense propaganda campaigns and polling fabrications

Computation of libration point orbits and manifolds using collocation methods

This thesis contains a methodology whose aim is to compute trajectories describing natural motion of the phase space in a neighborhood of Libtation points and stable/unstable manifolds which correspond to these orbits in the Restricted Three Body Problem. There are two models the Circular Restricted Three Body Problem and Elliptic Restricted Three Body Problem which are special cases of RTBP . In this paper we pay attention to CRTBP which is autonomous (depending on time). The CRTBP is the most easily understood and well-analysed in a coordinate system rotating with two large bodies. The method is based on the collocation method implemented in AUTO - 07p software and must provide an isolated periodic solution. The paper includes explanation of the collocation method, its application in case of CRTBP, numerical and graphical results of its implementation

Pattern analysis in networks of delayed coupled nonlinear systems.

status: publishe