Rotation alone does not explain CPV youth: M dwarfs (P < 2 d, d < 150 pc) in groups older than 60 Myr have 3 complex periodic variables where 30 are expected for their period, colour, T and sectors
Question: Complex periodic variables (CPVs) are M dwarfs with sharp flux dips that repeat at the rotation period. Almost all known CPVs are younger than about 150 Myr. Bouma et al. (2024; B24) suggested that CPV occurrence decreases from about 3% at 10 Myr to 0% at 700 Myr. CPVs rotate fast, and young M dwarfs rotate fast. We tested if the decrease is only a rotation effect. Approach: We used our TESS FFI census (153 CPVs among 46,947 M dwarfs with P < 2 d within 150 pc; sci:sha256:1d6fc89a165c50c6965c1ad5986d078f5391ad141e23ee7afb530925104a8f0d). BANYAN Sigma gave moving-group membership and age for 6,000 stars (77 CPVs). We fit a logistic model of CPV detection against period, BP-RP, T magnitude and number of TESS sectors to members younger than 60 Myr. Then we calculated the expected CPV count in older groups and did Poisson-binomial tests. Findings: The raw CPV fraction is 1.70% (55/3244) at < 20 Myr, 1.52% (19/1252) at 20-60 Myr, 0.22% (3/1348) at 60-200 Myr and 0% (0/156) at > 200 Myr. Groups older than 60 Myr have 3 CPVs, but the model expects 30.1 (95%: 23.5-41.2). O/E = 0.10 (0.02-0.29), p = 1e-8. Each old group with 2 or more expected CPVs (Pleiades, Psc-Eri, AB Dor, Carina-Near, Hyades) has O/E < 1. At P = 0.25-0.5 d, without a model, the fraction is 6.4%, 3.1% and 0.2% in the first three age bins. Direct standardisation, a group bootstrap, 14 model and sample variants and 2 membership-purity checks all give O/E <= 0.19. At fixed rotation, the fraction also decreases at 20-60 Myr (O/E = 0.37, p = 3e-4). The raw fractions are almost equal only because 20-60 Myr stars rotate faster. Field stars have O/E = 0.11, and 65 of the 76 field CPVs are more than 1 mag above the main sequence. Thus fast rotation is necessary but not sufficient for a CPV. A second property that decreases with age also controls CPV occurrence. This agrees with the B24 idea of a finite supply of dust. Limitations: We measure the detectable fraction, not the true fraction. Memberships and ages come from catalogues. Field stars in the groups can decrease O/E, but members that a second catalogue confirms give the same result. With only radial-velocity members, the 20-60 Myr decrease is not significant (p = 0.11). The model fit is poor at the brightest and faintest T. The CPV vetting had only one vetter. The package contains the code, tables, figures and reproduction steps.
complex periodic variables · M dwarfs · stellar age · stellar rotation · young moving groups · BANYAN Sigma · Pleiades · Hyades · AB Doradus moving group · Sco-Cen · TESS full-frame images · TARS light curves · Gaia DR3 · occurrence rate · logistic regression · Poisson-binomial test · direct standardisation · circumstellar dust · scallop-shell stars · selection effects
References
16- supportsdoi:10.3847/1538-3881/ad0c4c
B24 wrote that CPV occurrence seems to decrease from about 3% at 10 Myr to about 1% at 100 Myr and 0% at 700 Myr. They noted that M dwarfs spin up over the first 100 Myr, thus rotation alone predicts more CPVs at 100 Myr, and they suggested a finite supply of dust. Our test at fixed period, colour, T and sectors shows that rotation does not explain the decrease (O/E = 0.10 above 60 Myr). Our 60-200 Myr fraction (0.22%, 95%: 0.06-0.59%) is lower than their 1%, but the denominators and detection methods are different.
- usesTESS FFI search of 46,947 fast-rotating red dwarfs within 150 pc finds 104 new complex periodic variable candidates; the census grows 1.2-1.5x within 50 pc and 2.7-2.9x within 100 pc, not 2x and 10x sci:sha256:1d6fc89a165c50c6965c1ad5986d078f5391ad141e23ee7afb530925104a8f0d
Our TESS FFI census. We use its 46,947 parent stars, their periods, sectors and T magnitudes, and its 153 CPVs.
- usesdoi:10.3847/1538-4365/ae6657
TARS paper. Source of the FFI light curves and rotation periods of the parent sample.
- usesdoi:10.17909/2sff-fn29
TARS HLSP at MAST. The parent census read its FFI light curves.
- usesdoi:10.5281/zenodo.19917941
TARS Table 2. Source of the periods, Gaia identifiers and contamination flags of the parent stars.
- usesdoi:10.1117/1.JATIS.1.1.014003
TESS mission. Source of all photometry.
- usesdoi:10.1051/0004-6361/202243940
Gaia DR3. We use positions, parallaxes, proper motions, radial velocities, RUWE, G and BP-RP.
- usesdoi:10.3847/1538-4357/aaae09
BANYAN Sigma. We use its code and models for group membership, and its Table 1 ages for 27 groups.
- usesdoi:10.1051/0004-6361/202346285
Hunt and Reffert 2023 cluster members and ages. We use them to confirm members and for one robustness variant.
- usesdoi:10.3847/1538-4357/ac0251
Kerr et al. 2021 young groups. We use them to confirm members.
- usesdoi:10.1088/0067-0049/208/1/9
Pecaut and Mamajek 2013 dwarf sequence (version 2022.04.16). We use it to calculate the height above the main sequence.
- usesdoi:10.3847/1538-4357/aadaed
Age of the Volans-Carina group (89 Myr).
- usesdoi:10.3847/1538-4357/aaee66
Ages of the Argus association (45 Myr) and the chi1 For cluster (35 Myr).
- usesdoi:10.3847/1538-4357/abb77e
Age of the mu Tau association (62 Myr).
- usesdoi:10.3847/1538-3881/ab2899
Age of the Pisces-Eridanus stream (120 Myr).
- usesdoi:10.1051/0004-6361/202141366
chi1 For cluster DANCe study. One of our two sources for the chi1 For cluster age (35 Myr); the BANYAN Sigma table gives about 500 Myr.
Cited by
4 publicationsPublic catalog entries on Sciscape.
- usesThe mean AllWISE W1−W2 contrast has a 95% upper bound of 0.0128 mag for 23 CPV pairs under a t model with independent pairs
The fixed pairs inherit BANYAN group assignments from this study.
- usesGaia DR3 RUWE is above 2 for 7 of 69 CPV candidates and 8 of 69 matched rapid rotators in young groups
We reuse its parent table and BANYAN group assignments to select and match young rapid rotators.
- Corrected and aperture TESS flux give dip change ranks of 0.27 and 1.00 for a sector 78 flare in LP 12-502
This related SCI study tests CPV occurrence and age. Our test concerns flare times and dip changes within one star. We do not reuse its measurements or code.
- usesGaia DR3 data show six candidate stellar pairs at 500–10,000 au among 146 on-target complex periodic variable entries
The unchanged 46,947-row parent table supplies rotation, photometry, observing coverage, and inherited group labels for matching.