The VELOCE modulation zoo III. Detecting additional pulsation modes in optical spectra of classical Cepheids using semi-partial distance correlation periodograms

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Hauptverfasser: Barbey, Kent, Anderson, Richard Irving, Viviani, Giordano, Netzel, Henryka, Binnenfeld, Avraham, Zucker, Shay, Shahaf, Sahar, Dumusque, Xavier
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Veröffentlicht: 2025
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author Barbey, Kent
Anderson, Richard Irving
Viviani, Giordano
Netzel, Henryka
Binnenfeld, Avraham
Zucker, Shay
Shahaf, Sahar
Dumusque, Xavier
author_facet Barbey, Kent
Anderson, Richard Irving
Viviani, Giordano
Netzel, Henryka
Binnenfeld, Avraham
Zucker, Shay
Shahaf, Sahar
Dumusque, Xavier
contents Known for their large amplitude radial pulsations, classical Cepheids are critical standard candles in astrophysics. However, they also exhibit various pulsational irregularities and additional signals that provide deeper insights into their structure and evolution. These signals appear in spectroscopic observations as shape deformations of the spectral lines. Using semi-partial distance correlation periodograms, we analyse high-precision spectroscopic data from the VELOCE project for four stars: $δ$ Cep, BG Cru, X Sgr, and Polaris. For $δ$ Cep, our control star, only the main radial mode is detected, confirming its stability and suitability as a benchmark for the method. In BG Cru, a strong additional signal at $\sim 3.01$ d is identified, likely linked to line splitting. X Sgr exhibits dominant additional signals, notably one at $\sim 12.31$ d, also associated with significant line splitting. Polaris reveals multiple low-frequency signals, with the most prominent candidate at $\sim 59.86$ d, which might be linked to the star's rotation period. We explore the semi-partial distance correlation periodograms by incorporating CCFs and their variants, such as the median-subtracted CCFs, which improves the sensitivity to variations in line shape. In particular, the latter enables the faithful detection of primary and additional signals present in the 1D spectra of fainter stars and low-amplitude pulsators. The semi-partial distance correlation periodograms demonstrate their utility for isolating signals associated with line shape variations; although, the analyses are complicated by the presence of artefact subharmonics and a visible low-frequency power increase for Polaris and BG Cru. This study underscores the method's potential for finding new and unexpected signals as well as detailed analyses of Cepheid pulsations and opens new pathways for asteroseismic investigations.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08952
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The VELOCE modulation zoo III. Detecting additional pulsation modes in optical spectra of classical Cepheids using semi-partial distance correlation periodograms
Barbey, Kent
Anderson, Richard Irving
Viviani, Giordano
Netzel, Henryka
Binnenfeld, Avraham
Zucker, Shay
Shahaf, Sahar
Dumusque, Xavier
Solar and Stellar Astrophysics
Known for their large amplitude radial pulsations, classical Cepheids are critical standard candles in astrophysics. However, they also exhibit various pulsational irregularities and additional signals that provide deeper insights into their structure and evolution. These signals appear in spectroscopic observations as shape deformations of the spectral lines. Using semi-partial distance correlation periodograms, we analyse high-precision spectroscopic data from the VELOCE project for four stars: $δ$ Cep, BG Cru, X Sgr, and Polaris. For $δ$ Cep, our control star, only the main radial mode is detected, confirming its stability and suitability as a benchmark for the method. In BG Cru, a strong additional signal at $\sim 3.01$ d is identified, likely linked to line splitting. X Sgr exhibits dominant additional signals, notably one at $\sim 12.31$ d, also associated with significant line splitting. Polaris reveals multiple low-frequency signals, with the most prominent candidate at $\sim 59.86$ d, which might be linked to the star's rotation period. We explore the semi-partial distance correlation periodograms by incorporating CCFs and their variants, such as the median-subtracted CCFs, which improves the sensitivity to variations in line shape. In particular, the latter enables the faithful detection of primary and additional signals present in the 1D spectra of fainter stars and low-amplitude pulsators. The semi-partial distance correlation periodograms demonstrate their utility for isolating signals associated with line shape variations; although, the analyses are complicated by the presence of artefact subharmonics and a visible low-frequency power increase for Polaris and BG Cru. This study underscores the method's potential for finding new and unexpected signals as well as detailed analyses of Cepheid pulsations and opens new pathways for asteroseismic investigations.
title The VELOCE modulation zoo III. Detecting additional pulsation modes in optical spectra of classical Cepheids using semi-partial distance correlation periodograms
topic Solar and Stellar Astrophysics
url https://arxiv.org/abs/2505.08952