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The chaotic or ordered character of orbits in galactic models is an important issue, since it can influence dynamical evolution. This distinction can be achieved with the help of the Smaller Alingment Index - (SALI). We describe here…

Astrophysics · Physics 2009-11-11 T. Manos , E. Athanassoula

The escape dynamics in a two-dimensional multiwell potential is explored. A thorough numerical investigation is conducted in several types of two-dimensional planes and also in a three-dimensional subspace of the entire four-dimensional…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

We quantify the expected observed statistical and systematic uncertainties of the escape velocity as a measure of the gravitational potential and total mass of galaxy clusters. We focus our attention on low redshift (z < 0.15) clusters,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Daniel Gifford , Christopher J. Miller , Nicholas Kern

We numerically investigate the orbital dynamics of a two-dimensional galactic model, emphasizing the influence of stable and unstable manifolds on the evolution of orbits. In our analysis we use evaluations of the system's Lagrangian…

Chaotic Dynamics · Physics 2025-05-19 Dylan Theron , Charalampos Skokos

This didactic paper is motivated by the problem of understanding how stars escape from globular star clusters. One formulation of this problem is known, in dynamical astronomy, as Hill's problem. Originally intended as a model for the…

Astrophysics · Physics 2007-05-23 Douglas C Heggie

The regular or chaotic dynamics of an analytical realistic three dimensional model composed of a spherically symmetric central nucleus, a bar and a flat disk is investigated. For describing the properties of the bar we introduce a new…

Astrophysics of Galaxies · Physics 2015-11-18 Christof Jung , Euaggelos E. Zotos

In the outskirts of nearby spiral galaxies, star formation is observed in extremely low gas surface densities. Star formation in these regions, where the interstellar medium is dominated by diffuse atomic hydrogen, is difficult to explain…

Astrophysics of Galaxies · Physics 2021-09-09 Eric P. Andersson , Florent Renaud , Oscar Agertz

We numerically investigate the orbital dynamics of a spacecraft, or a comet, or an asteroid in the Pluto-Charon system in a scattering region around Charon using the planar circular restricted three-body problem. The test particle can move…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

Observational evidence strongly supports the existence of a Super Massive Black Hole (SMBH) at the Galactic center, surrounded by dense stellar clusters. Modeling galactic centers with intricate structures like shells and rings pose…

Astrophysics of Galaxies · Physics 2024-08-20 Yeasin Ali , Suparna Roychowdhury

We perform numerical simulations to investigate the stellar wind from interacting binary stars. Our aim is to find analytical formulae describing the outflow structure. In each binary system the more massive star is in the asymptotic giant…

Solar and Stellar Astrophysics · Physics 2020-02-19 Luis C. Bermúdez-Bustamante , G. García-Segura , W. Steffen , L. Sabin

A direct observation of the spiral structure of the Galaxy is hindered by our position in the middle of the Galactic plane. We propose a method based on the analysis of the birthplaces of high Galactic latitude runaway stars to map the…

Astrophysics of Galaxies · Physics 2015-06-12 M. D. V. Silva , R. Napiwotzki

We use the complete Sydney-AAO Multi-object Integral field spectrograph (SAMI) Galaxy Survey to determine the contribution of slow rotators, as well as different types of fast rotators, to the stellar mass function of galaxies in the local…

In the context of a star cluster moving on a circular galactic orbit, a "potential escaper" is a cluster star that has orbital energy greater than the escape energy, and yet is confined within the Jacobi radius of the stellar system. On the…

Astrophysics of Galaxies · Physics 2017-03-16 Kathryne J. Daniel , Douglas C. Heggie , Anna Lisa Varri

We use probability density functions (pdfs) of sums of orbit coordinates, over time intervals of the order of one Hubble time, to distinguish weakly from strongly chaotic orbits in a barred galaxy model. We find that, in the weakly chaotic…

Chaotic Dynamics · Physics 2015-05-30 Tassos Bountis , Thanos Manos , Chris Antonopoulos

We investigate the regular or chaotic nature of orbits of stars moving in the meridional plane (R,z) of an axially symmetric galactic model with a dense, massive spherical nucleus and a dark matter halo component. In particular, we study…

Astrophysics of Galaxies · Physics 2017-09-28 Nicolaos D. Caranicolas , Euaggelos E. Zotos

We investigate the long-term dynamical structure of low Earth orbits (LEOs) using the Smaller Alignment Index (SALI), a fast numerical indicator of chaos, within a closed-form averaged model that incorporates the effects of solar radiation…

Chaotic Dynamics · Physics 2026-05-26 Cassandra Barbis , Jerome Daquin , Elisa Maria Alessi , Charalampos Skokos

Stochastic systems characterised by a random driving in a form of the general stable noise are considered. The particle experiences long rests due to the traps the density of which is position-dependent and obeys a power-law form attributed…

Statistical Mechanics · Physics 2016-07-06 Tomasz Srokowski

This paper presents a new scheme to treat escaping stars in the orbit-averaged Fokker-Planck models of globular star clusters in a galactic tidal field. The existence of a large number of potential escapers, which have energies above the…

Astrophysics of Galaxies · Physics 2015-06-03 Koji Takahashi , Holger Baumgardt

In the present article, we present a new gravitational galactic model, describing motion in elliptical as well as in disk galaxies, by suitably choosing the dynamical parameters. Moreover, a new dynamical parameter, the S(g) spectrum, is…

Astrophysics of Galaxies · Physics 2012-04-03 Euaggelos E. Zotos

The orbital dynamics of a spacecraft, or a comet, or an asteroid in the Earth-Moon system in a scattering region around the Moon using the three dimensional version of the circular restricted three-body problem is numerically investigated.…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos