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The escape mechanism of the four hill potential is explored. A thorough numerical investigation takes place in several types of two-dimensional planes and also in a three-dimensional subspace of the entire four-dimensional phase space in…

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

This paper explores a multi-agent containment problem, where a fast evader, modeled having constant speed and using constant heading, attempts to escape a circular containment region that is orbited by a slower pursuer with a nonzero…

Optimization and Control · Mathematics 2023-10-03 Braulio Mora , Alexander Von Moll , Isaac Weintraub , David Casbeer , Animesh Chakravarthy

Tidal tails of star clusters are not homogeneous but show well defined clumps in observations as well as in numerical simulations. Recently an epicyclic theory for the formation of these clumps was presented. A quantitative analysis was…

Astrophysics · Physics 2011-02-11 A. Just , P. Berczik , M. I. Petrov , A. Ernst

We study the evolution of star clusters on circular and eccentric orbits using direct $N$-body simulations. We model clusters with initially $N=8{\rm k}$ and $N=16{\rm k}$ single stars of the same mass, orbiting around a point-mass galaxy.…

Astrophysics of Galaxies · Physics 2015-11-12 Maxwell Xu Cai , Mark Gieles , Douglas C. Heggie , Anna Lisa Varri

This paper focuses on the escape problem of a harmonically-forced classical particle from a purely-quartic truncated potential well. The latter corresponds to various engineering systems that involve purely cubic restoring force and absence…

Chaotic Dynamics · Physics 2021-05-20 Maor Farid

We investigate analytically whether in a close encounter with a star, a Dark Matter particle can be accelerated above the escape speed of a Globular Cluster and be ejected. We find that this mechanism is not sufficient to eject a massive,…

Astrophysics of Galaxies · Physics 2020-05-25 Travis J. Hurst , Andrew R. Zentner

In this work, we try to shed some light to the nature of orbits in a three-dimensional potential of a perturbed harmonic oscillator with eight possible channels of escape, which was chosen as an interesting example of open three-dimensional…

Chaotic Dynamics · Physics 2014-04-17 Euaggelos E. Zotos

Extrasolar planets and belts of debris orbiting post-main-sequence single stars may become unbound as the evolving star loses mass. In multiple star systems, the presence or co-evolution of the additional stars can significantly complicate…

Earth and Planetary Astrophysics · Physics 2015-06-04 Dimitri Veras , Christopher A. Tout

As part of a chemo-dynamical survey of five nearby globular clusters with 2dF/AAOmega on the AAT, we have obtained kinematic information for the globular cluster NGC3201. Our new observations confirm the presence of a significant velocity…

It is well known that numerical errors grow exponentially in $N$-body simulations of gravitational bound stellar systems, but it is not well understood how the accuracy parameters of algorithms affect the physical evolution in simulations.…

Solar and Stellar Astrophysics · Physics 2021-04-23 Long Wang , David M. Hernandez

We analyze a 19-night photometric search for transiting extrasolar planets in the open cluster NGC 1245. An automated transit search algorithm with quantitative selection criteria finds six transit candidates; none are bona fide planetary…

Astrophysics · Physics 2008-11-26 Christopher J. Burke , B. Scott Gaudi , D. L. DePoy , Richard W. Pogge

We present a general analytic framework to assess whether impact ejecta launched from the surface of a satellite can escape the gravitational influence of the planet--satellite system and enter heliocentric orbit. Using a patched-conic…

Earth and Planetary Astrophysics · Physics 2025-10-10 Jose Daniel Castro-Cisneros , Renu Malhotra , Aaron J. Rosengren

We have conducted a VLA search for radio pulsars at the positions of 44 nearby OB runaway stars. The observations involved both searching images for point sources of continuum emission and a time series analysis. Our mean flux sensitivity…

Astrophysics · Physics 2009-10-28 Colin J. Philp , Charles R. Evans , Peter J. T. Leonard , Dale A. Frail

The evolution of star clusters is studied using N-body simulations in which the evolution of single stars and binaries are taken self-consistently into account. Initial conditions are chosen to represent relatively young Galactic open…

A planet orbiting around a star in a binary system can be ejected if it lies too far from its host star. We find that instability boundaries first obtained in numerical studies can be explained by overlap between sub-resonances within…

Astrophysics · Physics 2009-11-13 Lawrence R. Mudryk , Yanqin Wu

Resonant chains are groups of planets for which each pair is in resonance, with an orbital period ratio locked at a rational value (2/1, 3/2, etc.). Such chains naturally form as a result of convergent migration of the planets in the…

Earth and Planetary Astrophysics · Physics 2017-09-20 J. -B. Delisle

The 3D radial escape-velocity profile of galaxy clusters has been suggested to be a promising and competitive tool for constraining mass profiles and cosmological parameters in an accelerating universe. However, the observed line-of-sight…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-24 Vitali Halenka , Christopher J. Miller , Paige Vansickle

Recent studies of Galactic evolution revealed that the dynamics of the stellar component might be one of the key factors when considering galactic habitability. We run an N-body simulation model of the Milky Way, which we evolve for 10 Gyr,…

Astrophysics of Galaxies · Physics 2023-10-26 A. Mitrašinović , B. Vukotić , M. Micic , M. M. Ćirković

Evaporative evolution of stellar clusters is shown to be relaxation limited when the number of stars satisfies $N>>N_c$, where $N_c\simeq 1600$. For a Maxwell velocity distribution that extends beyond the escape velocity, this process is…

Astrophysics of Galaxies · Physics 2015-06-03 Maurice H. P. M. van Putten

Discoveries of planet- and stellar remnant-hosting pulsars challenge our understanding as the violent supernova explosion that forms the pulsar presumably destabilizes the system. Type II supernova explosions lead to the formation of…

Solar and Stellar Astrophysics · Physics 2022-12-28 Zsolt Regaly , Viktoria Frohlich , Jozsef Vinko