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On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé–Hoover oscillator
(2018-05-01)
We consider the well-known Sprott A system, which is a special case of the widely studied Nosé–Hoover oscillator. The system depends on a single real parameter a, and for suitable choices of the parameter value, it is shown ...
Numerical study of low-cost alternative orbits around the Moon
(Elsevier B.V., 2005-01-01)
In this paper, we have investigated a region of direct stable orbits around the Moon, whose stability is related to the H2 Family of periodic orbits and to the quasi-periodic orbits that oscillate around them. The stability ...
Numerical study of low-cost alternative orbits around the Moon
(Elsevier B.V., 2005-01-01)
In this paper, we have investigated a region of direct stable orbits around the Moon, whose stability is related to the H2 Family of periodic orbits and to the quasi-periodic orbits that oscillate around them. The stability ...
Periodic orbits of the retrograde coorbital problem
(2019-12-01)
Asteroid (514107) Ka'epaoka'awela is the first example of an object in the 1/1 mean motion resonance with Jupiter with retrograde motion around the Sun. Its orbit was shown to be stable over the age of the Solar system, ...
Location and stability of distant retrograde orbits around the Moon
(Oxford Univ Press, 2020-05-01)
Recently has grown the interest of placing natural or artificial objects in the neighbourhood of the Moon. We numerically investigate a region of retrograde orbits around the Moon associated with the C Family of periodic ...
Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium
(2020-10-01)
In [Molaie et al., 2013] the authors provided the expressions of 23 quadratic differential systems in R3 with the unusual feature of having chaotic dynamics coexisting with one stable equilibrium point. In this paper, we ...
Localización de orbitas periódicas para algunos sistemas de tres dimensiones continuos en el tiempo
(2008-10-20)
RESUMEN: Con la localización de órbitas periódicas se pretende entender la dinámica global de un sistema no lineal, en especial de sistemas caóticos. Existen numerosos artículos referentes a este tema, así como diferentes ...
Dynamics of two planets in co-orbital motion
(WILEY-BLACKWELL, 2010)
We study the stability regions and families of periodic orbits of two planets locked in a co-orbital configuration. We consider different ratios of planetary masses and orbital eccentricities; we also assume that both ...
A peculiar stable region around Pluto
(Oxford University Press, 2014-04-01)
Giuliatti Winter et al. found several stable regions for a sample of test particles located between the orbits of Pluto and Charon. One peculiar stable region in the space of the initial orbital elements is located at a = ...