Significance of periodogram peaks and a pulsation mode analysis of the Beta Cephei star V403 Car

Frescura, F. A. M.; Engelbrecht, C. A.; Frank, B. S.

doi:10.1111/j.1365-2966.2008.13499.x

Cited by 75 publications

(90 citation statements)

References 33 publications

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“…Frescura et al 2008). However, a simulation study shows that expression (5), combined with definition (3), turns out to be a useful and conservative approximation of the true number of independent frequencies.…”

Section: Basic Treatmentmentioning

confidence: 99%

CoRoT's view of newly discovered B-star pulsators: results for 358 candidate B pulsators from the initial run's exoplanet field data

Degroote¹,

Aerts

Ollivier

et al. 2009

A&A

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Context. We search for new variable B-type pulsators in the CoRoT data assembled primarily for planet detection, as part of CoRoT's additional programme. Aims. We aim to explore the properties of newly discovered B-type pulsators from the uninterrupted CoRoT space-based photometry and to compare them with known members of the β Cep and slowly pulsating B star (SPB) classes. Methods. We developed automated data analysis tools that include algorithms for jump correction, light-curve detrending, frequency detection, frequency combination search, and for frequency and period spacing searches. Results. Besides numerous new, classical, slowly pulsating B stars, we find evidence for a new class of low-amplitude B-type pulsators between the SPB and δ Sct instability strips, with a very broad range of frequencies and low amplitudes, as well as several slowly pulsating B stars with residual excess power at frequencies typically a factor three above their expected g-mode frequencies.Conclusions. The frequency data we obtained for numerous new B-type pulsators represent an appropriate starting point for further theoretical analyses of these stars, once their effective temperature, gravity, rotation velocity, and abundances will be derived spectroscopically in the framework of an ongoing FLAMES survey at the VLT.

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Section: Basic Treatmentmentioning

confidence: 99%

CoRoT's view of newly discovered B-star pulsators: results for 358 candidate B pulsators from the initial run's exoplanet field data

Degroote¹,

Aerts

Ollivier

et al. 2009

A&A

View full text Add to dashboard Cite

show abstract

“…This is not necessarily the case, and the exponent in the equation should formally be replaced by some number N f,ind representing the number of independent frequencies. Horne & Baliunas (1986) pioneered the use of simulations to estimate N f,ind empirically, and similar Monte-Carlo techniques have since been applied to explore the statistical properties of the L-S periodogram in detail (see Frescura et al 2008, and references therein). The bottleneck in these simulations are the many periodogram evaluations, making them strong candidates for GPU acceleration.…”

Section: Applicationsmentioning

confidence: 99%

Fast Calculation of the Lomb-Scargle Periodogram Using Graphics Processing Units

Townsend

2010

ApJS

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I introduce a new code for fast calculation of the Lomb-Scargle periodogram, that leverages the computing power of graphics processing units (GPUs). After establishing a background to the newly emergent field of GPU computing, I discuss the code design and narrate key parts of its source. Benchmarking calculations indicate no significant differences in accuracy compared to an equivalent CPU-based code. However, the differences in performance are pronounced; running on a low-end GPU, the code can match 8 CPU cores, and on a high-end GPU it is faster by a factor approaching thirty. Applications of the code include analysis of long photometric time series obtained by ongoing satellite missions and upcoming ground-based monitoring facilities; and Monte-Carlo simulation of periodogram statistical properties.

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“…3 and 6 we regard that N k is close to the theoretical value N b /2 (Frescura, Engelbrecht, Frank 2008) and exploit also the proximity of the point-like and binning approaches at the same δ η = 0.00033. One can deal with the normalized power amplitude P max = P = 26.4 at k= 0.062 and use the formula (Scargle 1982, Frescura, Engelbrecht, Frank 2008 to match a given level of the false alarm probability p 0 with an amplitude P 0 . In our case N b = 818, N k = 409 and we obtain that the confidence level (1 − p 0 ) = 0.9999994 (significance 5σ) corresponds to P 0 = 20.3.…”

Section: Significance Estimations: Lasdamas Cataloguesmentioning

confidence: 99%

Quasi-periodical features in the distribution of Luminous Red Galaxies

Ryabinkov¹,

Kaurov

Kaminker

2012

Astrophys Space Sci

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A statistical analysis of radial distributions of Luminous Red Galaxies (LRGs) from the Sloan Digital Sky Survey (SDSS DR7) catalogue within an interval 0.16 ≤ z ≤ 0.47 is carried out. We found that the radial distribution of ∼ 106,000 LRGs incorporates a few quasi-periodical components relatively to a variable η, dimensionless line-of-sight comoving distance calculated for the ΛCDM cosmological model. The most significant peaks of the power spectra are obtained for two close periodicities corresponding to the spatial comoving scales (135 ± 12) h −1 Mpc and (101±6) h −1 Mpc. The latter one is dominant and consistent with the characteristic scale of the baryon acoustic oscillations. We analyse also the radial distributions of two other selected LRG samples: ∼ 33, 400 bright LRGs (−23.2 < M ≤ −21.8) and ∼ 60, 300 all LRGs within a rectangle region on the sky, and show differences of the quasi-periodical features characteristic for different samples. Being confirmed the results would allow to give preference of the spatial against temporal models which could explain the quasi-periodicities discussed here. As a caveat we show that estimations of the significance levels of the peaks strongly depend on a smoothed radial function (trend) as well as characteristics of random fluctuations.

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Significance of periodogram peaks and a pulsation mode analysis of the Beta Cephei star V403 Car

Cited by 75 publications

References 33 publications

CoRoT's view of newly discovered B-star pulsators: results for 358 candidate B pulsators from the initial run's exoplanet field data

CoRoT's view of newly discovered B-star pulsators: results for 358 candidate B pulsators from the initial run's exoplanet field data

Fast Calculation of the Lomb-Scargle Periodogram Using Graphics Processing Units

Quasi-periodical features in the distribution of Luminous Red Galaxies

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