Blazhko RRLyrae light curves as modulated signals

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42 Citations (Scopus)

Abstract

We present an analytical formalism for the description of Blazhko RRLyrae light curves. In this formalism the amplitude and frequency modulations are treated in a manner similar to the theory of electronic signal transmission. We consider monoperiodic RR Lyrae light curves to be carrier waves, and modulate their amplitude (AM), frequency (FM) and phase (PM); as a general case we discuss simultaneous AM and FM. The main advantages of this method are the following: (i) the mathematical formalism naturally explains numerous light-curve characteristics found in the Blazhko RRLyrae stars such as mean brightness variations, complicated envelope curves and non-sinusoidal frequency variations; (ii) our elucidation also explains the properties of the Fourier spectra such as apparent higher order multiplets, amplitude distribution of the sidepeaks, the appearance of the modulation frequency itself and its harmonics. In addition, compared to the traditional methods, our light-curve solutions reduce the number of necessary parameters. This formalism can be applied to any type of modulated light curves, not just to Blazhko RRLyrae star light curves.

Original languageEnglish
Pages (from-to)974-991
Number of pages18
JournalMonthly Notices of the Royal Astronomical Society
Volume417
Issue number2
DOIs
Publication statusPublished - Oct 1 2011

Keywords

  • Methods: analytical
  • Methods: data analysis
  • Stars: oscillations
  • Stars: variables: RR Lyrae
  • Stars: variables: general

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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