arXiv subjects

I. Szucs-Csillik

Publications and source records attributed to I. Szucs-Csillik.

2 recordsLinked to original sources

arXiv2017

On the planar central configurations of rhomboidal and triangular four- and five-body problems

We consider a symmetric five-body problem with three unequal collinear masses on the axis of symmetry. The remaining two masses are symmetrically placed on both sides of the axis of symmetry. Regions of possible central configurations are derived for the four- and five-body problems. These regions are determined analytically and explored numerically. The equations of motion are regularized using Levi-Civita type transformations and then the phase space is investigated for chaotic and periodic orbits by means of Poincaré surface of sections.

astro-ph.EP↗

arXiv2013

Generalization of Levi-Civita regularization in the restricted three-body problem

A family of polynomial coupled function of $n$ degree is proposed, in order to generalize the Levi-Civita regularization method, in the restricted three-body problem. Analytical relationship between polar radii in the physical plane and in the regularized plane are established; similar for polar angles. As a numerical application, trajectories of the test particle using polynomial functions of $2, 3,..., 8$ degree are obtained. For the polynomial of second degree, the Levi-Civita regularization method is found.

astro-ph.EP↗