Using multichannel singular spectrum analysis to study galaxy dynamics

  title={Using multichannel singular spectrum analysis to study galaxy dynamics},
  author={Martin D. Weinberg and Michael S. Petersen},
  journal={Monthly Notices of the Royal Astronomical Society},
N-body simulations provide most of our insight into the structure and evolution of galaxies, but our analyses of these are often heuristic and from simple statistics. We propose a method that discovers the dynamics in space and time together by finding the most correlated temporal signals in multiple time-series of basis-function expansion coefficients and any other data fields of interest. The method extracts the dominant trends in the spatial variation of the gravitational field along with… 

A holistic review of a galactic interaction

Our situation as occupants of the Milky Way (MW) Galaxy, bombarded by the Sagittarius dwarf galaxy, provides an intimate view of physical processes that can lead to the dynamical heating of a

Using Harmonic Decomposition to Understand Barred Galaxy Evolution

We study the mechanisms and evolutionary phases of bar formation in n-body simulations of a stellar disc and dark matter halo system using harmonic basis function expansion analysis to characterize

Using commensurabilities and orbit structure to understand barred galaxy evolution

We interpret simulations of secularly-evolving disc galaxies through orbit morphology. Using a new algorithm that measures the volume of orbits in real space using a tessellation, we rapidly isolate

Singular Spectrum Analysis for Time Series

  • A. Zhigljavsky
  • Computer Science
    International Encyclopedia of Statistical Science
  • 2011
This book discusses SSA for Forecasting, interpolation, Filtration and Estimation: SSA Forecasting Algorithms, and Subspace-Based Methods and Estimating of Signal Parameters and SSA and Filters.

A Treatise on the Theory of Bessel Functions

THE memoir in which Bessel, the astronomer, examined in detail the functions which now bear his name was published in 1824, and was the outcome of his earlier researches concerning the expression of


A perturber may excite a coherent mode in a star cluster or galaxy. If the stellar system is stable, it is commonly assumed that such a mode will be strongly damped and therefore of little practical

Three mechanisms for bar thickening

We present simulations of bar-unstable stellar discs in which the bars thicken into box/peanut shapes. Detailed analysis of the evolution of each model revealed three different mechanisms for

Automatic Grouping in Singular Spectrum Analysis

A new dissimilarity measure between two components of a time series that is based on various matrix norms is first proposed and the capabilities of different hierarchical clustering linkages are compared to identify appropriate groups in the SSA grouping step.

The gravitational field of flat galaxies

A set of bi-orthogonal pairs of functions is derived which is especially suited for the calculation of the gravitational field of flat galaxies. The functions are Hankel tranforms of associated

Adiabatic evolution and capture into resonance: vertical heating of a growing stellar disc

When a resonant island sweeps through the phase space of a stellar system adiabatically, it could leave behind a radically altered distribution. Nearly all orbits will, generically, pass through