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Accretion Variability of the Multiple T Tauri System VW Cha

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Published 2022 December 21 © 2022. The Author(s). Published by the American Astronomical Society.
, , Citation Gabriella Zsidi et al 2022 ApJ 941 177 DOI 10.3847/1538-4357/ac7229

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Abstract

Classical T Tauri stars are low-mass objects that are still accreting material from the surrounding circumstellar disk. The accretion process is essential in the formation of Sun-like stars and in setting the properties of the disk at the time when planet formation occurs. We constructed a complex data set in order to examine the accretion process of VW Cha, a classical T Tauri multiple system, with the aim of studying the physical origin of the photometric and spectroscopic variability of the system. The TESS space telescope observed VW Cha between 2019 April 22 and June 19, and we complemented these data with contemporaneous ground-based ICJHK-band photometric measurements. In addition, we obtained high-resolution optical spectra with the VLT/ESPRESSO and the 2.2 m/FEROS instruments. Analyzing these data, we found that the TESS light curve shows photometric variations on timescales from minutes to weeks with a peak-to-peak amplitude of ∼0.8 mag. The near-infrared light curves follow the shape of the optical measurements; however, the peak-to-peak amplitudes are slightly increasing toward the longer wavelengths. We took spectra in both fainter and brighter photometric states of the system, allowing us to examine the origin of a photometric brightening event. Our results show that this brightening event can be explained by increased accretion. In addition, our spectroscopic data also suggest that the primary component of VW Cha is a spectroscopic binary, as was proposed in earlier works.

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1. Introduction

Classical T Tauri stars (CTTSs) are young low-mass objects (<2–3 M) that are still surrounded by a circumstellar disk. They host magnetic fields that are strong enough to truncate the circumstellar disk at a few stellar radii (Johns-Krull et al. 1999). According to the magnetospheric accretion model, the material that falls onto the star is channeled along the magnetic field lines (Hartmann et al. 2016). This accretion process is inherently variable and causes both photometric and spectroscopic variations (Herbst et al. 1994; Hartmann et al. 2016).

The accretion process is often accompanied by outflows in the form of winds or jets (Frank et al. 2014; Hartmann et al. 2016). These are considered to be driven by rotating magnetic fields anchored in the inner disk. The atomic and ionized components of the outflows can be traced in visual spectra by, e.g., blueshifted forbidden emission lines, such as [O i], [S ii], or [N ii] (Bally 2016), or blueshifted absorption components of permitted emission lines (e.g., the Balmer and Paschen series of hydrogen).

Accretion and outflows are not the only processes that are able to cause changes in T Tauri systems, and it has been proven that the optical-infrared variability of CTTSs arises from a combination of physical processes occurring at or close to the stellar surface (Cody et al. 2014). Cool magnetic spots can appear on the stellar surface, and as they modulate the observed brightness of the star during its rotation (Bouvier et al. 1993), they cause periodic variation; however, irregular fluctuation due to accretion complicates their recognition. At the same time, additional irregular variability can occur due to obscuration by the circumstellar matter (e.g., Herbst et al. 1994). The effect of all of the abovementioned phenomena combined with the unsteady accretion (Bouvier et al. 2007) appears superimposed in the observations.

The majority of stars form in a binary or multiple system. Their configuration ranges from close binaries with circumbinary disks to systems with wide companions and individual circumstellar disks. Their evolution is affected by the companion; close, eccentric binaries tend to produce pulsed accretion (Kóspál et al. 2018), but wide companions might have only a minor effect. Examining multiple systems with high-resolution multitechnique campaigns combining spectroscopy and photometry would help in understanding their evolution and the impact of the companion on the circumstellar disk, which might host planets, via studying the details of the accretion, outflows, or winds.

This study focuses on VW Cha, which is a young low-mass classical T Tauri multiple system (Brandner et al. 1996; Brandeker et al. 2001; Nguyen et al. 2012) in the Chamaeleon I star-forming region at a distance of $d={194.5}_{-9.1}^{+10.6}$ pc (Bailer-Jones et al. 2021). This source has already been studied in previous works, mainly as part of larger samples. Daemgen et al. (2013) carried out a survey of multiple systems in the Chamaeleon I region. They resolved the primary and secondary components of VW Cha, and their study resulted in ${T}_{\mathrm{eff}}^{{\rm{A}}}\,=4060$ and ${T}_{\mathrm{eff}}^{{\rm{B}}}=3850$ K, ${L}_{\star }^{{\rm{A}}}=1.6$ and ${L}_{\star }^{{\rm{B}}}=0.76\,{L}_{\odot }$, ${M}_{\star }^{{\rm{A}}}\,=0.75$ and ${M}_{\star }^{{\rm{B}}}=0.57\,{M}_{\odot }$, ${R}_{\star }^{{\rm{A}}}=2.55$ and ${R}_{\star }^{{\rm{B}}}=1.97\,{R}_{\odot }$, spectral types of K7 and M0, and ages of 1.0 and 1.5 Myr for the A and B components, respectively. The study provides a lower limit for the accretion luminosity and accretion rate of the primary with $\mathrm{log}{L}_{\mathrm{acc}}^{{\rm{A}}}=-1.51\,{L}_{\odot }$, ${M}_{\mathrm{acc}}^{{\rm{A}}}=4.20\,\cdot {10}^{-9}\,{M}_{\odot }{\mathrm{yr}}^{-1}$, whereas Manara et al. (2016) reported $\mathrm{log}{L}_{\mathrm{acc}}=-0.78\,{L}_{\odot }$, $\mathrm{log}{M}_{\mathrm{acc}}=-7.60\,{M}_{\odot }\mathrm{yr}$ −1 and AV = 1.9 mag for the system, both assuming a distance to Chamaeleon I of 160 pc. Banzatti & Pontoppidan (2015) reported a disk inclination of 44° based on the rovibrational band of CO near 4.7 μm.

In this paper, we aim to study the accretion variability of the multiple system VW Cha using ground-based and space photometry and high-resolution spectroscopy. We describe our observations in Section 2, show our results in Section 3, and discuss them in Section 4.

2. Observations

The Transiting Exoplanet Survey Telescope (TESS) covered parts of the Chamaeleon I star-forming region by Sectors 11 and 12 in 2019. We designed a contemporaneous observing program including multifilter ground-based photometric monitoring and high-resolution spectroscopic measurements in order to study the variability and accretion process in T Tauri systems.

TESS provided a 56 day light curve of VW Cha with a 30 minute cadence between 2019 April 22 and 2019 June 19. We carried out the data reduction via differential photometry using the ficonv and fiphot tools of the FITSH package (Pál 2012). As a reference flux is needed for the process, we used the median of our own SMARTS IC -band photometry, taken contemporaneously with the TESS observations. A more detailed description of the TESS data reduction and photometry process can be found in Plachy et al. (2021) and Pál et al. (2020). We also inspected the most recent TESS light curves of VW Cha because it was also covered by Sectors 38 and 39 in 2021. This resulted in an additional 58 day light curve with a more frequent, 10 minute cadence between 2021 April 28 and 2021 June 24.

We obtained ground-based photometric observations contemporaneously with the 2019 TESS light curve using the 1.3 m telescope (Cerro Tololo, Chile) operated by the SMARTS Consortium. The observations were performed with approximately nightly cadence in the I C JHK bands, covering the time interval between 2019 April 29 and June 10. In addition, in the first 3 nights, V- and RC -band measurements were also taken. We typically obtained seven images in the IC band with an exposure time of 14 s and five to seven frames in the near-infrared bands with exposure times of 12 s (4 s at the first two epochs) in the J band and 4 s in the H and K bands. The optical images were delivered to us by the SMARTS team after standard bias and flat-field corrections. For the JHK images, we performed dithering in order to enable bad-pixel removal and sky subtraction. These steps were completed by using our custom IDL scripts. In the optical bands, the photometric calibration was based on two comparison stars in the $6^{\prime} \times 6^{\prime} $ field of view (2MASS J11072405–7741258 and 2MASS J11081648–7744371) whose magnitudes were extracted from the APASS9 catalog (Henden et al. 2015) and transformed to the Johnson–Cousins system using the equations of Jordi et al. (2006). The near-infrared photometric calibration was based on the Two Micron All Sky Survey (2MASS) magnitudes (Cutri et al. 2003) of a carefully selected comparison star, 2MASS J11075699–7741558. Due to this procedure, although the JHK observations were carried out in the CIT/CTIO JHK filters, the final calibrated magnitudes quoted in Table 5 are in the 2MASS photometric system.

We carried out high-resolution (R = 140,000) optical (380–788 nm) spectroscopic observations with the ESPRESSO instrument mounted on the Very Large Telescope as part of a DDT proposal (Pr.Id.2103.C-5025; PI: Á. Kóspál) on 2019 May 31 and June 8. We carried out the bias, dark, and flat-field corrections and the wavelength calibration using version 3.13.2 of the EsoReflex/ESPRESSO pipeline (Freudling et al. 2013). The resulting 2D spectra were merged, producing a rebinned 1D spectrum. We obtained two additional high-resolution (R = 48,000) optical (350–920 nm) spectra on June 8 and 11 with the FEROS instrument on the MPEG/ESO 2.2 m telescope in object-calib mode, where contemporaneous spectra of a ThAr lamp were recorded throughout the whole object exposure. The ferospipe pipeline in python is available for reducing data acquired with the FEROS instrument; a detailed description of the pipeline can be found in Brahm et al. (2017). However, this pipeline was designed to precisely measure the radial velocity, and it calibrates only 25 of the available 33 echelle orders. The excluded orders are essential for our analysis, as they cover the ∼673–823 nm range, including multiple accretion tracer lines; therefore, we modified the original pipeline in a way that we extended the wavelength coverage to all orders. More details of the modified pipeline are described in Nagy et al. (2021).

The flux calibration of all spectra was performed in two steps. First, we normalized the spectra by fitting the continuum. Then, we calculated the calibration coefficients using the ASAS-SN (g band, λeff = 470 nm) and TESS (IC band, λeff = 784 nm) photometry, obtained contemporaneously with the ESPRESSO and FEROS spectra. Magnitudes were converted into fluxes by using the zero fluxes 7 at 470 and 784 nm for the g and IC bands, respectively. We obtained the calibrated spectra by multiplying the normalized spectra by the calibration function, which was developed by linearly interpolating the calibration coefficients in the g and IC bands. The flux-calibrated spectra are shown in Figure 1.

Figure 1.

Figure 1. Flux-calibrated and smoothed FEROS and ESPRESSO spectra.

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2.1. Our Observations in the Context of the Multiplicity of VW Cha

A known multiple T Tauri system, VW Cha was identified as a binary by Brandner et al. (1996) with 0farcs72 separation and a ΔZ = 0.25 mag brightness difference between the companion and the primary at 1 μm. Brandeker et al. (2001) reported an additional close companion to the secondary star with a separation of 0farcs10 and suggested that VW Cha is a physical triple system. They found that the primary increasingly dominates the emission at increasingly longer wavelengths and reported a brightness difference of ΔJ = 0.73 and ΔK = 1.32 mag between the primary (A) and secondary (Ba+Bb) components. Daemgen et al. (2013) also detected this close companion of the secondary. Correia et al. (2006) found a wide companion (C) at 16farcs8. Melo (2003) suggested that the primary component (A) is a double-lined spectroscopic binary (SB2), and Nguyen et al. (2012) also reported that the primary is a suspected SB2. We will examine this possibility further in Section 4.4.

In order to investigate which component contributes to the observed flux and variability, we examined the Gaia EDR3 measurements. According to these data, the separation between the A and B components is 0farcs664, and the position angle is 185fdg778. The primary component is slightly brighter with a Gaia magnitude of G = 12.40 mag for A and G = 12.77 mag for B; i.e., 58.3% of the total flux comes from the primary component and 41.7% from the companion. In our photometric observations, we did not resolve the primary (A) and secondary (B) components.

Our spectroscopic observations were made with fiber-fed spectrographs. ESPRESSO has a 1farcs0 aperture, which means that when the fiber is centered on the primary, the secondary at 0farcs72 separation is excluded from the aperture; however, due to varying seeing conditions (see Table 1), we might observe some contamination from the companion. The FEROS instrument has a larger aperture (2farcs0), which means that the secondary contaminates our observations. Furthermore, if the primary (A) is an SB2, as suggested by Nguyen et al. (2012) and Melo (2003), both components would have been observed by the ESPRESSO and FEROS spectrographs. In addition, according to Daemgen et al. (2013), the probability of the A component hosting a disk is 1.00, whereas the same probability of the B component is only 0.01. For this reason, we attribute the accretion-related variability to the primary component.

Table 1. Log of the Spectroscopic Observations

Date (Epoch)JD−2,450,000InstrumentSeeing [arcsec]
2019 May 31 (Ep 1)8,635.49998ESPRESSO0.96
2019 Jun 8 (Ep 2)8,642.52353FEROS1.26
2019 Jun 8 (Ep 3)8,642.66358ESPRESSO0.47
2019 Jun 11 (Ep 4)8,645.57175FEROS1.70

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3. Results

3.1. Light Curves

The light curves of VW Cha carry important information on the nature of the variability and its origin. The TESS light curve, displayed with black dots in Figure 2, reveals variations on various timescales with a peak-to-peak amplitude of ∼0.8 mag. Small-amplitude fluctuations appear on timescales of hours, and a brightening event occurs toward the end of our observing period (JD ∼ 2,458,642, i.e., around 2019 June 7), which lasts for a few days. In order to look for any periodic signals in the TESS light curve, we carried out a period analysis. We computed a Lomb–Scargle periodogram (Lomb 1976; Scargle 1982) that reveals a period at P = 9.69 days (bottom panel of Figure 2). We also found a peak around 26 days (f = 0.037 day−1), which suggests a longer-term oscillation in the light curve. No further peaks were found with higher frequencies outside of the indicated frequency range of Figure 2. The 2021 TESS light curve (Figure 3) shows a similar peak-to-peak amplitude (∼0.9 mag); however, the mean brightness of the system slightly increased. We calculated a Lomb–Scargle periodogram from the 2021 TESS light curve as well (Figure 3, bottom panel), which does not confirm the presence of the 9.69 day period but shows a small peak at 9.03 days instead. As the TESS photometry is not resolving the system, the results of the period analysis might be the superposition of the signals produced by all members of the system.

Figure 2.

Figure 2. Light curves and periodogram of VW Cha in 2019. The top panel shows our near-infrared SMARTS JHK-band light curves. We show our optical IC -band SMARTS photometry with red circles, the TESS light curve with black dots, and the nightly averaged ASAS-SN g-band data with green circles. The JHK- and g-band light curves are shifted along the y-axis with the values indicated in the figure. We marked the epochs of the spectroscopic observations with vertical orange (ESPRESSO) and purple (FEROS) lines. The bottom panel shows the Lomb–Scargle periodogram obtained from the TESS data.

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Figure 3.

Figure 3. Light curves and periodogram from 2021. In the top panel, the black dots show the TESS observations from 2021, and the green circles indicate the nightly averaged ASAS-SN g-band data. The bottom panel shows the Lomb–Scargle periodogram obtained from the 2021 TESS data.

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Although the ground-based SMARTS observations have a sparser cadence than the TESS measurements, they carry crucial information on the color variations during our observing period. The IC -band measurements perfectly follow the variations seen in the TESS light curve with a similar peak-to-peak amplitude. This is expected, as TESS offers broadband photometry that is centered at the IC band (see Figure 1 in Ricker et al. 2015). The shape of the near-infrared J-, H-, and K-band light curves also follow the shapes of the optical light curves with slightly increasing amplitudes toward the longer wavelengths, i.e., ∼0.6 mag peak-to-peak variations in the J band and ∼0.8 mag variations in the K band.

The ground-based SMARTS data allow us to examine the color variations during the observing period. We show the color–magnitude and near-infrared color–color diagrams in Figure 4 along with the extinction path by Cardelli et al. (1989), indicated with black arrows assuming RV = 3.1. The near-infrared color–magnitude diagrams show that the pattern does not follow the extinction path in the near-infrared wavelength range, but VW Cha becomes redder as it brightens.

Figure 4.

Figure 4. Color–magnitude and color–color diagrams obtained from the SMARTS data. We drew the extinction corresponding to AV = 1 mag with black arrows. We indicated the values from the disk model of Figure 25 from Carpenter et al. (2001) with triangles. The open triangles represent a mass accretion rate of 10−8.5 M yr−1, and the filled triangles indicate 10−7 M yr−1. The three triangles correspond to inner disk hole sizes of 1, 2, and 4 R.

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We also show the publicly available ASAS-SN g-band measurements 8 in Figures 2 and 3. The g-band light curve also resembles the TESS observations. However, two brightening events at JD ∼ 2,458,605 and JD ∼ 2,458,642 stand out from the daily variations. Among the available optical light curves, the g-band observations display the largest peak-to-peak amplitude with ∼1.4 mag variations in the 2019 observing season and ∼1.2 mag in 2021.

3.2. Absorption Lines

The spectra of CTTSs encompass numerous absorption lines; however, these absorption lines are typically weaker than those of the nonaccreting stars. This so-called veiling is normally caused by an excess continuum emission originating from gas at the stellar surface heated by the accretion shock. This effect is detected in the absorption lines of VW Cha, and it is discussed further in Section 3.7.

The absorption lines of VW Cha also show some morphological variations. In order to investigate the origin of these changes, we calculated the average absorption profile using the least-squares deconvolution (LSD) method (Donati et al. 1997). The LSD is a cross-correlation technique for computing average profiles from thousands of spectral lines simultaneously. In order to achieve a better signal-to-noise ratio (S/N), we obtained the LSD profile from the red half of the spectra (λ = 584–788 nm) using a mask with absorption lines for which the normalized flux is less than 0.985 (Figure 5).

Figure 5.

Figure 5. The LSD profiles of VW Cha. The fitted Gaussians are indicated with orange curves. We indicated the individual Gaussian components with dashed curves when two components were fitted.

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The primary component of VW Cha is a suspected SB2, and the observed variations might originate from this close binary nature. In order to examine this possibility, we determined the radial velocity of the system by fitting Gaussians to the LSD profiles. The first ESPRESSO observation (JD = 2,458,635.5) shows a single Gaussian profile, whereas the second ESPRESSO measurement (JD = 2,458,642.6) hints at a split profile with two Gaussian components. The FEROS observations are noisier, but, as the first FEROS spectrum was taken on the same night as the second of the ESPRESSO spectra, we applied two Gaussians for this measurement, whereas we used one component for the last epoch. We show the fitted Gaussians in Figure 5 as well.

The results show that the average radial velocity of the system is 16.8 km s−1. For the JD = 2,458,642 night, we found two radial velocity components with a separation of ∼19 km s−1 in both the ESPRESSO and FEROS spectra. The radial velocity results are given in Table 4.

3.3. Emission Lines and Their Variability

The spectra of VW Cha exhibit several emission lines (Figure 1). The Balmer lines, in particular the Hα and Hβ, are the most striking features of all of the spectra and show strong and variable line profiles. In addition, we identified several permitted lines, such as He i, Fe i and Fe ii, and the Na i doublet in emission; however, not all of them were clearly detected in all epochs. The wavelength region of the Ca ii infrared triplet was covered only by FEROS, and we detected two of the three lines on both FEROS epochs. The 854.2 nm line falls between two orders; therefore, it was not covered. Moreover, [O i] lines were also detected, but we did not find any other forbidden line.

The most conspicuous feature of the spectra of VW Cha is the Hα emission line, which shows significant variability over the observing period (Figure 6). The central peak exhibits amplitude variations that appear to be correlated with the photometric variations. When a brighter photometric state was observed, the Hα line presented a stronger peak, which implies that the Hα line became stronger by a larger factor than the continuum. Apart from the amplitude variations, we also found morphological changes in the Hα line. The first epoch shows a strong blueshifted absorption component around −150 km s−1 that was mostly filled by the second epoch. This effect is also shown by the blue shaded area, which indicates the variance profile. The variance profile measures the variability in each velocity bin in the line profile and was obtained as described in Johns & Basri (1995), using the following relation:

where n is the number of observations, Iv,i is the intensity at a given velocity (v) in each observation, and ${\overline{I}}_{v}$ is the mean intensity of all of the observed profiles at a given velocity v. The variance profile of the Hα line suggests that besides the feature at −150 km s−1, the red wing is also highly variable.

Figure 6.

Figure 6. Normalized line profiles of the Hα, Hβ, He i, Li i, [O i], and Na i lines. The lines with different colors indicate the different epochs (as listed in the upper right panel), the thick black line shows the average line profile, and the blue shaded area illustrates the variance profile in each panel.

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The Hβ line exhibits similar amplitude variations as the Hα line; i.e., when the system becomes brighter, the emission gets stronger (see Figure 6). The line has a peculiar double-peaked shape, and the relative amplitudes and positions of the two peaks vary over time. Our first observation indicates one peak at the systemic velocity and one redshifted peak. By the second observation, the peak at the center had moved to the blueshifted side, whereas the redshifted peak remained around 130 km s−1. Our last observation reveals similar peak positions as the first one; however, the redshifted peak shows a more pronounced amplitude decrease than the other.

The He i line at 587.7 nm exhibits a peak at the rest velocity and wide wings on both sides. Besides the amplitude variations of the central peak, the wings are also changing; when a brighter photometric state was observed, the line wings were more pronounced.

We also detected three [O i] lines in all of our spectra at 557.8, 630.2, and 636.3 nm. In Figure 6, we show the 630.2 nm line from the normalized spectra, as this was the strongest among the observed forbidden lines. The region of the [O i] line is contaminated by telluric lines; nonetheless, we observed some amplitude variations in the normalized line profiles. However, we note that these variations appear only in the continuum-normalized spectra; the line flux is almost constant during our observations. We discuss this further in Section 4.3. The Na i doublet shows high variability, with two observations in emission and two measurements below the continuum (Figure 6).

We note that two measurements, the first FEROS spectrum and the second ESPRESSO spectrum, were taken on the same night only a few hours apart. The two spectra look very similar, as expected, but some strong accretion tracer lines, such as the Hα and Hβ lines, show noticeable differences (Figure 6). In order to examine whether this discrepancy is an instrumental or a physical effect, we compared several emission and absorption lines in the two spectra. We found that most lines are in agreement within 10%. Only the strongest lines differ by ∼20%, but as these are typically accretion tracers, the change might have a physical origin.

3.4. Measuring the Line Fluxes of the Accretion Tracers

The H i, He i, Ca ii, and Na i emission lines in the optical and near-infrared spectra of young stellar objects are tracing the accretion process (e.g., Alcalá et al. 2014; Hartmann et al. 2016). Therefore, we computed the accretion rates of VW Cha using the fluxes of these lines detected in our data.

While the FEROS spectra are Nyquist-binned, the ESPRESSO spectra are oversampled. To compute the line flux in a homogeneous way, we rebinned the ESPRESSO spectra in the Nyquist way. At first, we identified the emission lines automatically; we considered those emission lines that were above the 1σ level of the estimated continuum level, and the line width was defined by the difference between the two line edges, where the 1σ level intersects the line (i.e., λrightλleft). However, due to the noise and occasionally occurring blends with neighboring lines, we needed to manually adjust the edges of the lines in some cases or discard the blended lines. We determined the line flux with a python routine that integrates the flux of the pixels contained between the local continuum, which is estimated with a linear fit, and the line. We computed the noise of the line by multiplying the standard deviation of the local continuum (rms) by the width of the line (Δλline) and by the square root of the number of pixels included in the line (Npix). A line is considered to be detected when its S/N ≥ 3. For the nondetected lines, we computed the upper limit of the line flux (Fupp line) by multiplying the noise by 3:

Equation (1)

The results are presented in Table 2.

Table 2. Line Fluxes for the Emission Lines of VW Cha

Species λline ${F}_{\mathrm{obs}}^{{\rm{ep}}1}(E)$ ${F}_{\mathrm{obs}}^{{\rm{ep}}2}(F)$ ${F}_{\mathrm{obs}}^{{\rm{ep}}3}(E)$ ${F}_{\mathrm{obs}}^{{\rm{ep}}4}(F)$
 [nm][10−14 erg s−1 cm−2][10−14 erg s−1 cm−2][10−14 erg s−1 cm−2][10−14 erg s−1 cm−2]
H3656.32382.788 ± 0.196919.390 ± 0.525726.983 ± 0.236285.018 ± 0.517
H4486.1654.788 ± 0.088122.292 ± 0.290105.076 ± 0.08024.481 ± 0.449
H5434.0725.390 ± 0.28936.937 ± 0.54041.370 ± 0.2217.050 ± 0.583
H6410.218.400 ± 0.34425.994 ± 0.94625.940 ± 0.28094.672 ± 5.548
H7397.0321.356 ± 0.26341.300 ± 1.14540.656 ± 0.20529.485 ± 2.256
H8388.938.756 ± 0.348 <4.64313.416 ± 0.2867.110 ± 1.930
H9383.5610.940 ± 0.610...11.367 ± 0.465...
H10379.816.789 ± 1.057...13.272 ± 0.748...
He i/Fe i 492.222.404 ± 0.13014.947 ± 0.27610.454 ± 0.0962.681 ± 0.476
He i 402.64 <0.272 <1.687 <0.2091.057 ± 0.315
He i 447.172.377 ± 0.0593.225 ± 0.2203.370 ± 0.0503.524 ± 0.440
He i 471.340.776 ± 0.0990.953 ± 0.1950.957 ± 0.0801.581 ± 0.296
He i 501.6 <0.34219.588 ± 0.245 <0.8004.593 ± 0.396
He i 587.69.293 ± 0.09825.047 ± 0.20619.603 ± 0.0887.345 ± 0.275
He i 667.852.888 ± 0.0448.839 ± 0.1446.075 ± 0.0492.546 ± 0.126
He i 706.562.729 ± 0.05612.545 ± 0.1506.786 ± 0.0497.996 ± 0.190
He ii 468.611.101 ± 0.092 <0.9981.127 ± 0.075 <2.063
Ca ii (K)393.3919.906 ± 0.32440.339 ± 1.56346.111 ± 0.25821.368 ± 2.280
Ca ii (H)396.8720.968 ± 0.54840.279 ± 1.17240.079 ± 0.45130.425 ± 2.240
Ca ii 849.85...252.089 ± 0.380...25.077 ± 0.456
Ca ii 866.26...232.491 ± 0.824...26.310 ± 0.642
Na i 589.03 <0.2898.470 ± 0.4454.650 ± 0.1602.190 ± 0.284
Na i 589.63 <0.2914.467 ± 0.3982.105 ± 0.1821.266 ± 0.213
O I777.357.205 ± 0.14329.358 ± 0.50318.012 ± 0.1505.970 ± 0.340
O I844.68...54.033 ± 1.145...10.570 ± 0.543

Note. Fluxes shown here are not dereddened.

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3.5. Extinction and Spectral Typing

Pre-main-sequence stars are typically affected by extinction. In order to study the stellar parameters and accretion rates, we need to estimate the extinction, which can be computed in several ways. One of these is through the distance between the location of the star in the [JH] versus [HK] diagram and the CTTS locus, the location of the CTTSs if they are unextincted (AV = 0). This color–color diagram is shown in Figure 7. Applying the extinction vector of Cardelli et al. (1989) and assuming RV = 3.1, we found a mean value for the extinction of AV = 1.70 ± 0.10 mag using all of our near-infrared photometry.

Figure 7.

Figure 7. Color–color diagram of VW Cha. Red circles are data from SMARTS observations at different epochs. The blue dashed line represents the CTTS locus. The orange solid and green dotted–dashed lines correspond to the zero-age main sequence and giant branch, respectively. The black arrow shows the vectorial shift from the CTTS locus for a source with 1 mag of extinction.

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The extinction of an accreting object can also be computed from the accretion luminosity estimated by accretion tracers at different wavelengths. We estimated the extinction from a grid of values from 0 to 10 mag, choosing the AV that minimizes the difference between the accretion luminosity derived from different lines for the same epoch. We used only the detected lines (see Table 2). We obtained a mean value for the four epochs of AV = 1.54 ± 0.27 mag.

Lastly, we performed the spectral typing of VW Cha by comparing our spectra with a grid of observed templates (Manara et al. 2013, 2017a) from G4 to M9.5 that have a typical step of one spectral subclass for spectral types G and K and 0.5 spectral subclass for M-type stars, a method similar to those performed previously in the literature for single CTTSs (e.g., Fiorellino et al. 2021). In order to compare the template with the spectra of VW Cha, we reddened the template and flux-calibrated it in a window of Δλ = 5 nm around λ = 570 nm. By varying the template and extinction and matching the shape and molecular features of our data with the ones of the templates, we find that the spectral type of VW Cha is in agreement with the K5−K7 templates. We find that the mean value of the extinction for the four epochs is AV = 1.15 ± 0.53 mag. We should point out that, for this analysis, we treated VW Cha as if it was a single star.

We note that our AV results are all in agreement within the errors. In the following, we use the value provided by the [JH] versus [HK] diagram, for which have the smallest error, and it is closer to the extinction values we found in the literature, for example, AV = 1.9 mag in Manara et al. (2017b). We think that the slightly different result we get from our spectra can have two origins; one in that we have not subtracted a slab model from the spectra to eliminate the effect of the veiling while doing the spectral typing. The other is that we analyzed only the optical wavelength range, whereas Manara et al. (2017b) covered the range from the UVB to the near-infrared.

3.6. Accretion Luminosity and Rate

We used the detected accretion tracer lines from Table 2 to estimate the accretion luminosity (Lacc) of the VW Cha system. The accretion luminosity is related to the line luminosity of the accretion tracers (Lline) by empirical relations. We computed the line luminosity as Lline = 4π d2 Fline, where Fline is the extinction-corrected line flux, and d = 194.5 pc is the distance (Bailer-Jones et al. 2021). Then, we estimated the accretion luminosity for each line by using the relations from Alcalá et al. (2017),

Equation (2)

where a and b vary from line to line. The relations in Alcalá et al. (2017) are based on spectroscopic observations of a sample of young stellar objects. They have some natural uncertainty originating from the measurement of the line flux and the linear fit between the line and accretion luminosities. The overall uncertainties for the relations differ from line to line, and the standard deviation of the liner fit ranges from σ = 0.26 to 0.45 among those relations that are suggested for deriving the accretion luminosity. The error on each line is obtained by propagating the error of Fline. As the best estimate of the accretion luminosity for each epoch, we used the mean value of all of the accretion luminosity provided by the detected lines of that epoch. The error on the mean accretion luminosity for each epoch was computed by dividing the standard deviation of the errors by the square root of the number of lines used. The results are shown in Table 3.

Table 3. Accretion Parameters for VW Cha

Date $\mathrm{log}{L}_{\mathrm{acc}}$ $\mathrm{log}{\dot{M}}_{\mathrm{acc}}$
 [L][M yr−1]
2019 May 31 (E)0.022 ± 0.083−6.785 ± 0.075
2019 Jun 8 (F)0.360 ± 0.086−6.447 ± 0.082
2019 Jun 8 (E)0.225 ± 0.079−6.582 ± 0.075
2019 Jun 11 (F)−0.103 ± 0.082−6.910 ± 0.082

Note. The values presented here are without taking into account the error on stellar parameters.

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We computed the mass accretion rate with the following equation:

Equation (3)

where Rin is the inner disk radius, which we assume to be Rin ∼ 5 R (Hartmann et al. 1998), ${M}_{\star }=0.75{\pm }_{0.35}^{0.5}\,{M}_{\odot }$, and R = 2.55 ± 0.29 R from Daemgen et al. (2013). We computed the error on the mass accretion rate in the same way as for the accretion luminosity and not taking into account the uncertainty on the stellar parameters. The results are shown in Table 3. Figure 8 displays the accretion luminosity and mass accretion rate as a function of time, which shows an increased accretion luminosity and rate in the second and third epochs and a decrease by the last epoch.

Figure 8.

Figure 8. Accretion luminosity and mass accretion rate as a function of time.

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3.7. Veiling

The absorption spectra of CTTSs are often veiled by additional continuum emission due to accretion. As the veiling is also indicative of the accretion rate, we expect that when the accretion rate changes, the veiling and stellar brightness change accordingly. We calculated the veiling (V) for our four spectroscopic observations using the following relation:

where Weq and Weq 0 are the measured equivalent width of the absorption line of the target and a reference object, respectively.

Instead of using one absorption line, we used the LSD profiles previously obtained from the spectra. For reference, we obtained the LSD profile based on the same criteria for a nonaccreting K7-type weak-line T Tauri star, TWA 6, whose spectrum is available from the Polarbase database. 9 We used this reference in order to calculate the absolute veiling. The results are shown in Figure 9.

Figure 9.

Figure 9. Absolute veiling measurements.

Standard image High-resolution image

It must be noted that the veiling is expected to be wavelength-dependent in a way that typically larger veiling is measured at shorter wavelengths (e.g., Dodin & Lamzin 2013). The use of the LSD profile ignores this wavelength dependence, as it serves as an average absorption line profile. In order to test the significance of its effect, we selected a few individual absorption lines above 500 nm to avoid the noisiest part of the spectra and calculated the veiling using them. Our results show that, within the uncertainties, the general temporal trend is similar to the bulk measurement provided by the use of the LSD profiles. However, the measurements using individual lines did not reproduce the expected trend (i.e., larger veiling at shorter wavelengths) but instead resulted in a scatter around the values determined by using the LSD profile. This might be due to the fact that in many cases, the individual absorption lines were still noisy and weak; furthermore, the stronger ones were often blended with neighboring lines.

4. Discussion

4.1. Near-infrared Color Variations

Our ground-based near-infrared observations of VW Cha reveal an unusual trend: the source becomes redder as it brightens (Figure 4). In order to examine the physical origin of this behavior, we compared our results with three models described by Carpenter et al. (2001) that use the models by Meyer et al. (1997).

The first model involves starspots, which often appear on the surface of T Tauri stars and can be responsible for the variability observed in these systems. Carpenter et al. (2001) inspected the impact of starspots at near-infrared wavelengths and found that cool spots with small fractional coverage result in nearly colorless fluctuations. In the case of larger spot coverages and hot spots, the color–magnitude diagram shows that the system becomes bluer as it gets brighter.

Inhomogeneities in the inner circumstellar environment can cause changing extinction, which also results in photometric variability. The extinction model introduces a positive slope in the near-infrared color–magnitude diagrams; i.e., the object gets redder as it becomes fainter. In order to compare our observations with this model, we indicated the extinction arrow in Figure 4 corresponding to AV = 1 mag, which shows that our data are not consistent with changing extinction.

The disk model discussed by Carpenter et al. (2001) and Meyer et al. (1997) attributes the near-infrared variation to changes in the accretion disk, such as variable inner disk structure or accretion rate. This model results in a negative slope in the near-infrared color–magnitude diagrams (i.e., the source gets redder as it brightens) and predicts a shallower slope in the [JH] versus [HKS ] diagram than the abovementioned spot and extinction models. In order to compare the disk model with our observations, we indicated the color changes predicted by this model compared to our bluest data point with triangles in Figure 4. The open triangles represent a mass accretion rate of 10−8.5 M yr−1, and the filled triangles show 10−7.0 M yr−1 (Carpenter et al. 2001). The three triangles correspond to disk inner hole sizes of 1, 2, and 4 R. These models of Meyer et al. (1997) include a fiducial M0-type star with fixed M = 0.5 M, R = 1.8 R, and Teff = 4000 K. These stellar parameters describe a typical T Tauri star but do not agree entirely with the parameters of VW Cha; therefore, our analysis gives a qualitative explanation for the observed trajectory. The comparison suggests that the near-infrared color variations seen in our data set are orthogonal to the trajectory of the spot and the extinction models, and they are consistent with those predicted by the disk model. This means that the observed color variations originate from the changes in the accretion disk.

We also considered another set of models by D'Alessio et al. (1998, 1999, 2001) that provides the spectral energy distributions (SEDs) for accretion disks with various disk parameters 10 (Rdisk, Rhole, ${\dot{M}}_{\mathrm{acc}}$, α, i) for systems with different central stars. First, we selected a central star with stellar parameters closest to our target (Teff = 4000 K, 1 Myr, R = 2.64 R, M = 0.7 M, L = 1.6 L), and we studied the corresponding disk models. From the available models, we chose the ones with Rdisk = 100 au, i = 30°, and α = 0.01, which parameters are expected for VW Cha. This left two parameters free: Rhole and ${\dot{M}}_{\mathrm{acc}}$. Unfortunately, the Rhole and ${\dot{M}}_{\mathrm{acc}}$ grids of these models are sparser than the ones presented by Meyer et al. (1997); therefore, these models are less representative of VW Cha. Nonetheless, we attempted to compare our data and the models by placing our observations on the SEDs of the models with the following pairs of parameters: Rhole = 9 R and ${\dot{M}}_{\mathrm{acc}}={10}^{-9}\,{M}_{\odot }\mathrm{yr}$ −1, Rhole = 9 R and ${\dot{M}}_{\mathrm{acc}}={10}^{-8}\,{M}_{\odot }{\mathrm{yr}}^{-1}$, Rhole = 11 R and ${\dot{M}}_{\mathrm{acc}}={10}^{-7}\,{M}_{\odot }\mathrm{yr}$ −1, and Rhole = 22 R and ${\dot{M}}_{\mathrm{acc}}={10}^{-6}\,{M}_{\odot }\mathrm{yr}$ −1. This comparison did not lead to any strong conclusions, which might arise from the fact that both the inner disk hole size and the accretion rate vary from model to model, and there is no option to change only one of these parameters. Additionally, we converted the fluxes close to the JHK bands from the SED models to the magnitudes, and we constructed the near-infrared color–magnitude and color–color diagrams. In general, we found that these models also reproduce the observed trend (i.e., the source becomes redder when it brightens). However, the trend appears in the opposite way compared to the Carpenter et al. (2001) models. In Carpenter et al. (2001), larger hole sizes correspond to smaller infrared excess, whereas the D'Alessio et al. (1998) models resulted in an opposite trend; i.e., larger hole sizes correspond to larger infrared excess. Again, this might arise from the fact that for the D'Alessio et al. (1998) models, both the inner disk hole size and the accretion rate change from model to model (larger inner hole size is paired with larger accretion rate). This does not contradict the Carpenter et al. (2001) models; their models with larger accretion rates (filled triangles) also predict redder colors.

Apart from changes in the inner disk hole size, other changes in the inner disk structure may contribute to the observed trend in the near-infrared color–magnitude and color–color diagrams. These involve, e.g., variations in the thickness of the inner disk edge of a warped disk (Mahdavi & Kenyon 1998; Lai 1999; Terquem & Papaloizou 2000), or the SB2 nature (see Section 4.4) might also disturb the inner disk edge and cause structural changes.

4.2. Changes between the Brighter and Fainter States

The light curves of VW Cha display significant photometric changes; we observed 0.6−0.9 mag peak-to-peak variability in the different photometric bands in 2019. This dynamical range is dominated by the brightening event at JD ∼ 2,458,642. We measured a spectrum before, during, and after this event, which allows us to study its nature and origin.

The spectra taken at the bright and faint states show noteworthy differences. The Balmer lines undergo the most striking evolution; however, other accretion tracers also vary in time. The significant amplitude variations of these lines in the normalized spectra suggest that accretion rate change might be the major contributor of the observed effect. The computed line fluxes also support this concept, since we measured higher line fluxes in the brighter state. The veiling measurements (Figure 9) are also consistent with the described picture; i.e., the veiling was higher during the brighter state, indicating a higher accretion rate. Indeed, we calculated the accretion rates for each epoch, which show an increase by a factor of 2.17 by the brighter state (Table 3).

The emission lines exhibit morphological evolution as well during the previously discussed brightening event. The He i lines show only mild changes; however, the wings become more pronounced in the brighter epoch. In addition, the variance profile highlights a slight asymmetry; the red wing varies more during our observations than the blue wing. This broad component extends to ∼250 km s−1 and is thought to form in the magnetospheric flow (Hartmann et al. 2016). The more pronounced broad component in the brighter state might arise due to the increased accretion. The Hβ line exhibits an interesting double-peaked profile where both the strength and position of the two components are changing.

The Hα line has the most striking morphological differences between the different measurements. The first epoch shows an emission peak with a strong blueshifted absorption component. This suggests that the accretion is accompanied by an outflow, which is discussed in Section 4.3. As the accretion rate increases by the second observation, this blueshifted absorption component becomes filled.

Stauffer et al. (2014) examined the light curves and spectra for a sample of young stellar objects in NGC 2264, including several CTTSs. They studied light curves dominated by accretion bursts, similar to that of VW Cha, and found that these brief—several hours to a day long—brightenings have amplitudes in the range of 5%–50% of the quiescent level. The longer duration (several days) of the brightening event at JD ∼ 2,458,642 in the light curve of VW Cha and the fine structure, revealed by the high-cadence TESS data, suggest that this event might be a superposition of multiple smaller accretion bursts. The spectral features that we found are also consistent with the results of Stauffer et al. (2014); i.e., accretion burst stars have a modestly structured and centrally peaked Hα line during the accretion burst and the 667.8 nm He i line in emission.

In Figure 10, we compare VW Cha with other sources from the Chamaeleon I star-forming region using the results of the accretion rates and stellar parameters of Manara et al. (2019), and we use the fit from Fiorellino et al. (2021). We depict the accretion luminosity against the stellar luminosity in the top panel and the accretion rate against the stellar mass in the bottom panel. Our results show that, as we expected based on previous studies, VW Cha has a high accretion luminosity and accretion rate compared to the other members of this sample and places VW Cha at the high end of the distribution. While our new results match perfectly with the fitted relation for Cha I in the Lacc versus L diagram, we note that the ${\dot{M}}_{\mathrm{acc}}$ is larger than the trend fitted for the overall region.

Figure 10.

Figure 10. Top: accretion luminosity as a function of stellar luminosity. Bottom: mass accretion rate as a function of stellar mass. Black stars are the results of the Chamaeleon I survey of CTTSs from Manara et al. (2019). For this work, we plot with black dashed lines the error bars only for VW Cha. The black filled circle corresponds to the mass accretion rate computed by using the accretion luminosity from Manara et al. (2019) and stellar parameters from Daemgen et al. (2013), and error bars are shown with black dashed lines. The linear fit is taken from Fiorellino et al. (2021). Colored filled circles show the results of this work, and different colors correspond to different epochs as in Figure 8.

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4.3. Outflow

Mass ejection is often observed in CTTSs. Strong winds and outflows are thought to be accretion-powered, and they lead to forbidden line emission and often blueshifted absorption components superimposed on background emission (Calvet 1997; Bally 2016).

Object VW Cha shows signs of outflow in the form of forbidden [O I] emission lines and a blueshifted absorption component of the Hα line. This absorption component, however, is not always present. The reason for this is the fact that it is superimposed on background emission arising due to the magnetospheric accretion. When the accretion rate increases, the accretion-powered emission component strengthens and fills the absorption component.

The [O i] emission lines are also detected in the spectra at 557.8, 630.2, and 636.3 nm. They appear to be variable based on the normalized line profile (Figure 6, bottom middle panel); however, this line is expected to be intrinsically stable on a timescale of days (Petrov et al. 2011), and the observed effect might be due to the fact that during the brighter state, the continuum level rose. Indeed, we calculated the line fluxes of the detected forbidden oxygen lines, which differ by only a few percent, suggesting that the normalized line profiles change due to continuum variations.

The observed line profile carries information on the kinematics of the emitting gas. In the case of VW Cha, the [O i] exhibits one low-velocity component (FWHM ∼ 30–60 km s−1) that is slightly blueshifted compared to the systemic velocity. The low-velocity component with peak velocity vp ≲ 30 km s−1 is thought to be associated with extended disk winds (Kwan & Tademaru 1995; Pascucci et al. 2020). For a sample of T Tauri stars, Gangi et al. (2020) examined the component at the lowest peak velocity of the [O i] line, and our results for VW Cha are consistent with the typical line kinematic parameters that Gangi et al. (2020) found, suggesting that it originates from the innermost few au of the system.

4.4. Spectroscopic Binary

The primary component of the VW Cha system is a suspected SB2. Melo (2003) observed line doubling based on their cross-correlation function and reported 15.31 km s−1 as a mean radial velocity for the system. Nguyen et al. (2012) found evidence for two components of the primary separated by 20 km s−1.

We determined the radial velocities by fitting the LSD profiles and report the results in Table 4 along with the radial velocities from Nguyen et al. (2012). In the cases where we were able to resolve the two components, our results are in agreement with Nguyen et al. (2012), where they found that their spectra of the primary show evidence for two components (Aa, Ab) separated by 20 km s−1 (see their Figure 10.10). As in our observations, we found one component in the first epoch, two components in the second and third epochs, and one component in the fourth epoch 10 days later; we speculate an orbital period for the SB2 of ∼10 days. In case the primary is indeed an SB2, we need to account for the possibility that both components contribute to the observed spectroscopic variations in our new measurements. Frasca et al. (2021) examined a similar multiple system, CVSO 104, where they confirmed that the target is a double-lined SB2. They determined the mass accretion rates of the two components from the fluxes of the lines where the profiles of the two components could be deblended. In our case, the individual components of the accretion tracers, such as the Hα or He i lines, appear to be blended (see Figure 6), similar to the Hα line presented in Frasca et al. (2021); therefore, we were not able to determine the accretion rates for the individual components. The Hβ is the only line that shows a double-peaked line profile; however, the peak velocities do not correspond to the radial velocities that we determined for each epoch.

Table 4. Radial Velocity Measurements for VW Cha

JD − 2,450,000RV1 RV2 Ref.
3,789.2699923.72 ± 0.295.79 ± 0.41N12
3,836.1684727.16 ± 0.216.02 ± 0.37N12
4,072.3715626.31 ± 0.262.51 ± 0.35N12
8,635.4999816.00 ± 0.10This work
8,642.5235328.66 ± 0.438.26 ± 0.20This work
8,642.6635826.82 ± 0.426.83 ± 3.26This work
8,645.5717514.49 ± 0.14This work

Note. Here N12 indicates the results from Nguyen et al. (2012). For the epochs for which we report only one value, we were not able to resolve the two components.

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5. Summary

We designed a complex observing campaign for the multiple T Tauri system VW Cha with multifilter photometry and high-resolution optical spectroscopy contemporaneously with the TESS space telescope observations. The high-cadence TESS photometry reveals variations on hourly–daily timescales with a peak-to-peak amplitude of ∼0.8 mag. The near-infrared data show that the amplitude of the variability is slightly increasing toward the longer wavelengths. The near-infrared color–magnitude diagrams show the unusual trend of the source becoming redder as it brightens. This trend cannot be explained with stellar spots or variations in the extinction; however, it can be associated with changes in the accretion disk.

The light curves show a distinct brightening event in the second half of our observing period at all wavelengths. We took spectra before, during, and after this event, allowing us to examine its nature. Our results suggest that it originates from increased accretion. The accretion tracers, measured mass accretion rate, and veiling are also consistent with this scenario.

Apart from the accretion, the spectra indicate the presence of an outflow as well. We found [O i] lines with one low-velocity component, which is considered to be associated with disk winds.

Moreover, VW Cha is known to be a multiple system; however, some studies suggest that the primary itself is an SB2. Our observations also hint at the SB2 nature with a speculated orbital period of around 10 days.

This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program under grant agreement No. 716155 (SACCRED). G.Zs. is supported by the ÚNKP20-3 New National Excellence Program of the Ministry for Innovation and Technology from the source of the National Research, Development and Innovation Fund. The research leading to these results has received funding from the LP2018-7 Lendület grants of the Hungarian Academy of Sciences. Based on observations collected at the European Southern Observatory under ESO programs 2103.C-5025, 0103.A-9008, and 0100.C-0708(A). This work has received financial support from the Hungarian National Research, Development and Innovation Office, NKFIH grant K-138962. This project has received funding from the European Union's Horizon 2020 research and innovation program under Marie Sklodowska-Curie grant agreement No. 823823 (DUSTBUSTERS). This work was partly funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), 325594231. This research received financial support from the project PRIN-INAF 2019 "Spectroscopically Tracing the Disk Dispersal Evolution."

Facilities: TESS - , SMARTS - , ESPRESSO - , FEROS. -

Software: astropy (Astropy Collaboration et al. 2013).

Appendix

In the Appendix, we present the results from our ground-based photometric monitoring campaign.

: Ground-based Photometry

We present in Table 5 our optical and near-infrared SMARTS photometry.

Table 5. Optical and Near-infrared Photometry of VW Cha

JD − 2,450,000 V ± ΔV RC ± ΔRC IC ± ΔIC J ± ΔJ H ± ΔH K ± ΔK
8,603.5612.688 ± 0.03811.928 ± 0.02010.884 ± 0.0058.754 ± 0.0427.617 ± 0.0186.818 ± 0.012
8,604.5612.567 ± 0.01011.836 ± 0.00910.829 ± 0.0018.664 ± 0.0097.545 ± 0.0046.761 ± 0.009
8,605.5712.447 ± 0.01511.827 ± 0.00610.865 ± 0.0018.718 ± 0.0037.629 ± 0.0056.848 ± 0.007
8,606.53  11.021 ± 0.0038.845 ± 0.0087.727 ± 0.0056.953 ± 0.004
8,607.52  10.994 ± 0.0018.805 ± 0.0097.700 ± 0.0096.965 ± 0.009
8,608.54  10.991 ± 0.0018.744 ± 0.0107.635 ± 0.0066.882 ± 0.008
8,609.52  10.783 ± 0.0018.636 ± 0.0027.528 ± 0.0076.755 ± 0.007
8,611.52  10.768 ± 0.0038.665 ± 0.0107.564 ± 0.0126.794 ± 0.007
8,612.54  10.763 ± 0.0028.692 ± 0.0117.598 ± 0.0046.847 ± 0.006
8,613.51  10.720 ± 0.0028.661 ± 0.0067.558 ± 0.0106.782 ± 0.003
8,614.54  10.790 ± 0.0038.611 ± 0.0097.512 ± 0.0086.723 ± 0.010
8,615.52  10.719 ± 0.0028.578 ± 0.0087.444 ± 0.0016.657 ± 0.010
8,616.52  10.841 ± 0.0038.696 ± 0.0107.577 ± 0.0116.758 ± 0.012
8,617.54  10.809 ± 0.0028.657 ± 0.0057.547 ± 0.0056.762 ± 0.003
8,618.54  10.896 ± 0.0038.729 ± 0.0097.626 ± 0.0096.859 ± 0.001
8,619.51  10.754 ± 0.0648.786 ± 0.0047.685 ± 0.0096.886 ± 0.008
8,620.51  10.899 ± 0.0028.779 ± 0.0137.683 ± 0.0136.914 ± 0.006
8,621.54  10.779 ± 0.0028.673 ± 0.0057.547 ± 0.0126.757 ± 0.021
8,622.51  10.834 ± 0.0028.682 ± 0.0127.542 ± 0.0146.783 ± 0.014
8,623.53  10.928 ± 0.0228.535 ± 0.0297.673 ± 0.0746.678 ± 0.043
8,624.51  10.934 ± 0.0048.736 ± 0.0107.646 ± 0.0146.874 ± 0.001
8,625.52  11.133 ± 0.0058.914 ± 0.0047.838 ± 0.0087.119 ± 0.011
8,626.52  11.158 ± 0.0038.919 ± 0.0067.845 ± 0.0157.153 ± 0.013
8,627.52  11.095 ± 0.0028.846 ± 0.0027.765 ± 0.0067.077 ± 0.003
8,630.50  ...8.746 ± 0.001......
8,635.66  10.915 ± 0.0038.665 ± 0.0107.559 ± 0.0056.801 ± 0.010
8,636.53  10.822 ± 0.0028.577 ± 0.0057.475 ± 0.0056.696 ± 0.001
8,637.51  10.732 ± 0.0018.544 ± 0.0057.415 ± 0.0106.638 ± 0.010
8,638.49  10.921 ± 0.0018.712 ± 0.0037.583 ± 0.0076.818 ± 0.023
8,639.54  10.913 ± 0.0048.632 ± 0.0117.473 ± 0.0036.653 ± 0.012
8,640.52  10.762 ± 0.0018.561 ± 0.0037.412 ± 0.0096.553 ± 0.006
8,641.50  10.511 ± 0.0038.334 ± 0.0037.177 ± 0.0036.319 ± 0.007
8,642.52  10.465 ± 0.0038.359 ± 0.0077.211 ± 0.0036.404 ± 0.007
8,643.49  10.463 ± 0.0028.414 ± 0.0057.308 ± 0.0046.470 ± 0.005
8,644.51  10.798 ± 0.0018.723 ± 0.0057.646 ± 0.0136.901 ± 0.005
8,645.49  10.968 ± 0.0028.817 ± 0.0057.743 ± 0.0067.021 ± 0.015

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Footnotes

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10.3847/1538-4357/ac7229