Dynamical Monte Carlo Simulations of 3-D Galactic Systems in Axisymmetric and Triaxial Potentials

Abstract

We describe the dynamical behavior of isolated old (> 1 G yr) objects-like Neutron Stars (NSs). These isolated NSs are evolved under smooth, time-independent, 3-D gravitational potentials, axisymmetric and with a triaxial dark halo. We analysed the geometry of the dynamics and applied the Poincare section method for comparing the influence of different birth velocity distributions. The inspection of the maximal asymptotic Lyapunov (Lambda) exponent shows that the dynamical behaviors of the selected orbits are nearly the same as the regular orbits with two degrees of freedom, both in axisymmetric and triaxial when (phi, q_z)= (0,0). Conversely, a few chaotic trajectories are found with a rotated triaxial halo when (phi, q_z)= (90, 1.5). The tube orbits preserve the direction of their circulation around either the long or short axis as appeared in the triaxial potential, even when every initial condition leads to different orientations. The Poincare section method shows that there are 2-D invariant tori and invariant curves (islands) around stable periodic orbits that bound to the surface of 3-D tori. The regularity of the several prototypical orbits offer the means to identify the phase space regions with localized motions and to determine their environment in different models, because they can occupy significant parts of phase-space depending on the potential. This is of particular importance in Galactic Dynamics.

18 pages, 7 figures, Published in Publications of the Astronomical Society of Australia (PASA)

References in corpus (12)

• eROSITA Science Book: Mapping the Structure of the Energetic Universe
• The Magnificent Seven: Magnetic fields and surface temperature distributions
• Investigating stellar-mass black hole kicks
• On the birthrates of Galactic neutron stars
• The single-degenerate channel for the progenitor of type Ia supernovae with different metallicities
• Population synthesis of radio and gamma-ray millisecond pulsars from the Galactic disk
• The phase-space of boxy-peanut and X-shaped bulges in galaxies I. Properties of non-periodic orbits
• The resonant nature of tidal stirring of disky dwarf galaxies orbiting the Milky Way
• The orbital structure of a tidally induced bar
• A Very Simple Cusped Halo Model
• Extremely Flat Haloes and the Shape of the Galaxy
• Chaos in a disk galaxy model induced by asymmetries in the dark halo

Cited by in corpus (3)

• Assessing the complexity of orbital parameters after asymmetric kick in binary pulsars
• The binding energy produced within the framework of the accretion of millisecond pulsars
• Speckle-interferometric study of close visual binary system Hip 11253 (HD14874) using Gaia (DR2) and (EDR3)