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Title: Unexpected series of regular frequency spacing of δ Scuti stars in the non-asymptotic regime - I. The methodology

Abstract

In this study, a sequence search method was developed to search the regular frequency spacing in δ Scuti stars through visual inspection and an algorithmic search. We searched for sequences of quasi-equally spaced frequencies, containing at least four members per sequence, in 90 δ Scuti stars observed by CoRoT. We found an unexpectedly large number of independent series of regular frequency spacing in 77 δ Scuti stars (from one to eight sequences) in the non-asymptotic regime. We introduce the sequence search method presenting the sequences and echelle diagram of CoRoT 102675756 and the structure of the algorithmic search. Four sequences (echelle ridges) were found in the 5–21 d–1 region where the pairs of the sequences are shifted (between 0.5 and 0.59 d–1) by twice the value of the estimated rotational splitting frequency (0.269 d–1). The general conclusions for the whole sample are also presented in this paper. The statistics of the spacings derived by the sequence search method, by FT (Fourier transform of the frequencies), and the statistics of the shifts are also compared. In many stars more than one almost equally valid spacing appeared. The model frequencies of FG Vir and their rotationally split components were used to formulatemore » the possible explanation that one spacing is the large separation while the other is the sum of the large separation and the rotational frequency. In CoRoT 102675756, the two spacings (2.249 and 1.977 d–1) are in better agreement with the sum of a possible 1.710 d–1 large separation and two or one times, respectively, the value of the rotational frequency.« less

Authors:
 [1]; ORCiD logo [1];  [1]; ORCiD logo [2]
  1. Konkoly Observatory, Budapest (Hungary)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1258585
Report Number(s):
LA-UR-16-21708
Journal ID: ISSN 1538-4357
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 822; Journal Issue: 2; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Paparo, M., Benko, J. M., Hareter, M., and Guzik, J. A. Unexpected series of regular frequency spacing of δ Scuti stars in the non-asymptotic regime - I. The methodology. United States: N. p., 2016. Web. doi:10.3847/0004-637X/822/2/100.
Paparo, M., Benko, J. M., Hareter, M., & Guzik, J. A. Unexpected series of regular frequency spacing of δ Scuti stars in the non-asymptotic regime - I. The methodology. United States. https://doi.org/10.3847/0004-637X/822/2/100
Paparo, M., Benko, J. M., Hareter, M., and Guzik, J. A. Wed . "Unexpected series of regular frequency spacing of δ Scuti stars in the non-asymptotic regime - I. The methodology". United States. https://doi.org/10.3847/0004-637X/822/2/100. https://www.osti.gov/servlets/purl/1258585.
@article{osti_1258585,
title = {Unexpected series of regular frequency spacing of δ Scuti stars in the non-asymptotic regime - I. The methodology},
author = {Paparo, M. and Benko, J. M. and Hareter, M. and Guzik, J. A.},
abstractNote = {In this study, a sequence search method was developed to search the regular frequency spacing in δ Scuti stars through visual inspection and an algorithmic search. We searched for sequences of quasi-equally spaced frequencies, containing at least four members per sequence, in 90 δ Scuti stars observed by CoRoT. We found an unexpectedly large number of independent series of regular frequency spacing in 77 δ Scuti stars (from one to eight sequences) in the non-asymptotic regime. We introduce the sequence search method presenting the sequences and echelle diagram of CoRoT 102675756 and the structure of the algorithmic search. Four sequences (echelle ridges) were found in the 5–21 d–1 region where the pairs of the sequences are shifted (between 0.5 and 0.59 d–1) by twice the value of the estimated rotational splitting frequency (0.269 d–1). The general conclusions for the whole sample are also presented in this paper. The statistics of the spacings derived by the sequence search method, by FT (Fourier transform of the frequencies), and the statistics of the shifts are also compared. In many stars more than one almost equally valid spacing appeared. The model frequencies of FG Vir and their rotationally split components were used to formulate the possible explanation that one spacing is the large separation while the other is the sum of the large separation and the rotational frequency. In CoRoT 102675756, the two spacings (2.249 and 1.977 d–1) are in better agreement with the sum of a possible 1.710 d–1 large separation and two or one times, respectively, the value of the rotational frequency.},
doi = {10.3847/0004-637X/822/2/100},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 822,
place = {United States},
year = {Wed May 11 00:00:00 EDT 2016},
month = {Wed May 11 00:00:00 EDT 2016}
}

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Works referenced in this record:

The CoRoT satellite in flight: description and performance
journal, March 2009


Pulsation frequency distribution in δ Scuti stars
journal, July 2015

  • Balona, L. A.; Daszyńska-Daszkiewicz, J.; Pamyatnykh, A. A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 452, Issue 3
  • DOI: 10.1093/mnras/stv1513

Kepler observations of δ Scuti stars: Kepler observations of δ Scuti stars
journal, August 2011


Kepler Planet-Detection Mission: Introduction and First Results
journal, January 2010


Regularities in frequency spacings of δ Scuti stars: the Kepler star KIC 9700322★: Regularities in frequency spacings
journal, April 2011


Detection of 75+ pulsation frequencies in the δ Scuti star FG Virginis
journal, May 2005


Towards mode selection in δ Scuti stars: regularities in observed and theoretical frequency spectra
journal, June 2009


Automated supervised classification of variable stars in the CoRoT programme: Method and application to the first four exoplanet fields
journal, April 2009


THEORETICAL p -MODE OSCILLATION FREQUENCIES FOR THE RAPIDLY ROTATING δ SCUTI STAR α OPHIUCHI
journal, November 2011


A seismological analysis of δ Scuti stars in the Pleiades cluster
journal, January 2006

  • Fox Machado, L.; Pérez Hernández, F.; Suárez, J. C.
  • Astronomy & Astrophysics, Vol. 446, Issue 2
  • DOI: 10.1051/0004-6361:20053791

Patterns, an efficient way to analyse the p-mode content in rapidly rotating stars
journal, January 2015


Asteroseismic analysis of the CoRoT δ Scuti star HD 174936
journal, July 2009


An in-depth study of HD 174966 with CoRoT photometry and HARPS spectroscopy: Large separation as a new observable for
journal, November 2013


Asteroseismology of δ Scuti stars: Problems and prospects
journal, June 2005

  • Goupil, M. -J.; Dupret, M. A.; Samadi, R.
  • Journal of Astrophysics and Astronomy, Vol. 26, Issue 2-3
  • DOI: 10.1007/BF02702333

New Whole Earth Telescope observations of CD-24 7599: steps towards   Scuti star seismology
journal, April 1997

  • Handler, G.; Pikall, H.; O'Donoghue, D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 286, Issue 2
  • DOI: 10.1093/mnras/286.2.303

Models for the Rapidly Rotating Be Star Achernar
journal, May 2004

  • Jackson, Stephen; MacGregor, Keith B.; Skumanich, Andrew
  • The Astrophysical Journal, Vol. 606, Issue 2
  • DOI: 10.1086/383197

Asteroseismic measurement of surface-to-core rotation in a main-sequence A star, KIC 11145123
journal, August 2014

  • Kurtz, Donald W.; Saio, Hideyuki; Takata, Masao
  • Monthly Notices of the Royal Astronomical Society, Vol. 444, Issue 1
  • DOI: 10.1093/mnras/stu1329

Wave chaos in rapidly rotating stars
journal, July 2008


Asymptotic analysis of high-frequency acoustic modes in rapidly rotating stars
journal, April 2009


P-modes in rapidly rotating stars: Looking for regular patterns in synthetic asymptotic spectra
journal, November 2010

  • Lignières, F.; Georgeot, B.; Ballot, J.
  • Astronomische Nachrichten, Vol. 331, Issue 9-10
  • DOI: 10.1002/asna.201011455

Acoustic oscillations of rapidly rotating polytropic stars: I. Effects of the centrifugal distortion
journal, August 2006


Pulsation spectrum of δ Scuti stars: the binary HD 50870 as seen with CoRoT and HARPS
journal, May 2012


One small satelite, so many light curves: Examples of δ Scuti asteroseismology from the MOST space mission
journal, January 2004


On the Structure and Properties of Differentially Rotating, Main‐Sequence Stars in the 1–2 M Range
journal, July 2007

  • MacGregor, K. B.; Jackson, Stephen; Skumanich, Andrew
  • The Astrophysical Journal, Vol. 663, Issue 1
  • DOI: 10.1086/518303

Pulsations of rapidly rotating stars: I. The ACOR numerical code
journal, November 2012


Pulsations of rapidly rotating stars: II. Realistic modelling for intermediate-mass stars
journal, July 2015


CoRoT 102749568: mode identification in a δ Scuti star based on regular spacings
journal, August 2013


Acoustic oscillations of rapidly rotating polytropic stars: II. Effects of the Coriolis and centrifugal accelerations
journal, August 2006


Regular patterns in the acoustic spectrum of rapidly rotating stars
journal, February 2008


Mode identification in rapidly rotating stars
journal, June 2009


Asteroseismic measurement of slow, nearly uniform surface-to-core rotation in the main-sequence F star KIC 9244992
journal, January 2015

  • Saio, Hideyuki; Kurtz, Donald W.; Takata, Masao
  • Monthly Notices of the Royal Astronomical Society, Vol. 447, Issue 4
  • DOI: 10.1093/mnras/stu2696

Multi-object spectroscopy of stars in the CoRoT fields: I. Early-type stars in the CoRoT-fields IRa01, LRa01, LRa02⋆⋆⋆
journal, April 2012


Measuring mean densities of δ Scuti stars with asteroseismology : Theoretical properties of large separations using TOUCAN⋆
journal, February 2014


On the Interpretation of Echelle Diagrams for Solar-Like Oscillations Effect of Centrifugal Distortion
journal, August 2010


Accurate masses and radii of normal stars: modern results and applications
journal, October 2009

  • Torres, G.; Andersen, J.; Giménez, A.
  • The Astronomy and Astrophysics Review, Vol. 18, Issue 1-2
  • DOI: 10.1007/s00159-009-0025-1

The Kepler characterization of the variability among A- and F-type stars : I. General overview
journal, October 2011


Detecting non-uniform period spacings in the Kepler photometry of γ Doradus stars: methodology and case studies
journal, January 2015


Works referencing / citing this record:

Sensitivity of gravito-inertial modes to differential rotation in intermediate-mass main-sequence stars
journal, October 2018


The first view of δ Scuti and γ Doradus stars with the TESS mission
journal, October 2019

  • Antoci, V.; Cunha, M. S.; Bowman, D. M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 3
  • DOI: 10.1093/mnras/stz2787

Asteroseismology of the Pre-main-sequence δ Scuti Pulsator IP Persei
journal, February 2019


KIC 4142768: An Evolved Gamma Doradus/Delta Scuti Hybrid Pulsating Eclipsing Binary with Tidally Excited Oscillations
journal, October 2019