Bálint Érdi

TL;DR: In this paper, the relative Lyapunov indicator (RLI) is used for chaos detection in the case of symplectic mappings and of a continuous Hamiltonian system, and it is shown that the RLI is an efficient and easy-to-calculate numerical tool in determining the true nature of individual orbits, and in separating ordered and regular regions of the phase space of dynamical systems.

TL;DR: In this article, the authors studied the possibility of the detection of the low amplitude long (P' ) period perturbative effect of a distant third companion on the motion of a close binary and gave a more accurate analytical formula for this kind of perturbation affecting the moments of the times of minima in eclipsing binaries.

TL;DR: In this paper, the authors developed a stability catalogue of the habitable zones of exoplanetary systems, which is formed by a series of stability maps, which can help to establish where Earth-like planets could exist in extrasolar planetary systems having one giant planet.

TL;DR: In this article, the formation of a hypothetical terrestrial-type body in the equilateral Lagrange points of a giant extrasolar planet is studied. But due to the gravitational instabilities within the swarm, the accretional process is not very efficient and the final planet never seems to exceed ~0.6 Earth masses, even when the total mass of the swarm is five times this value.

TL;DR: In this paper, the phase space structure around L 4 in the restricted three-body problem is investigated and the connection between the long period family emanating from L 4 and the very complex structure of the stability region is shown by using the method of Poincare's surface of section.