Long Photometric Cycles in Double Periodic Variables from Nodal Precession of a Tilted Accretion Disk

Fuente: arXiv
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Autores principales: Jiao, Cheng-Liang, Zhao, Er-gang, Zhu, Liying, Matekov, Azizbek
Formato: Preprint
Publicado: 2026
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author Jiao, Cheng-Liang
Zhao, Er-gang
Zhu, Liying
Matekov, Azizbek
author_facet Jiao, Cheng-Liang
Zhao, Er-gang
Zhu, Liying
Matekov, Azizbek
contents We investigate whether the long photometric cycles observed in double-periodic variables (DPVs) can arise from nodal precession of a tilted accretion disk driven by the tidal torque of the companion. Within a simple analytical framework, we derive testable relations linking the long-to-orbital period ratio to the binary mass ratio, the normalized disk size, and the disk tilt angle $β$, which itself can be inferred from the long-cycle amplitude, orbital inclination $i$, and disk luminosity fraction. The model naturally reproduces the two observed long-cycle light-curve morphologies -- sinusoidal and double-hump -- distinguished by the geometric criterion $i+β\le 90^\circ$ versus $i+β>90^\circ$. Applying these relations to a sample of DPVs, we find that the inferred disk sizes are physically reasonable and consistent with independent light-curve modeling for a non-negligible subset of systems. Our results show that tidal nodal precession represents a viable and potentially important contributor to the long-period variability of DPVs and provide a quantitative framework for future observational and theoretical studies.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19460
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Long Photometric Cycles in Double Periodic Variables from Nodal Precession of a Tilted Accretion Disk
Jiao, Cheng-Liang
Zhao, Er-gang
Zhu, Liying
Matekov, Azizbek
Solar and Stellar Astrophysics
We investigate whether the long photometric cycles observed in double-periodic variables (DPVs) can arise from nodal precession of a tilted accretion disk driven by the tidal torque of the companion. Within a simple analytical framework, we derive testable relations linking the long-to-orbital period ratio to the binary mass ratio, the normalized disk size, and the disk tilt angle $β$, which itself can be inferred from the long-cycle amplitude, orbital inclination $i$, and disk luminosity fraction. The model naturally reproduces the two observed long-cycle light-curve morphologies -- sinusoidal and double-hump -- distinguished by the geometric criterion $i+β\le 90^\circ$ versus $i+β>90^\circ$. Applying these relations to a sample of DPVs, we find that the inferred disk sizes are physically reasonable and consistent with independent light-curve modeling for a non-negligible subset of systems. Our results show that tidal nodal precession represents a viable and potentially important contributor to the long-period variability of DPVs and provide a quantitative framework for future observational and theoretical studies.
title Long Photometric Cycles in Double Periodic Variables from Nodal Precession of a Tilted Accretion Disk
topic Solar and Stellar Astrophysics
url https://arxiv.org/abs/2602.19460