Abstract

We present Doppler imaging and Balmer line analysis of the weak-line T Tauri star TWA 6. Using these data we have made one of the first attempts to measure differential rotation in a T Tauri star, and the first detection of a slingshot prominence in such a star. We also show the most direct evidence to date of the existence of solar-type plages in a star other than the Sun.

Observations were made over six nights: 2006 February 11–13 and 2006 February 18–20, when spectra were taken with the UCL Echelle Spectrograph on the 3.9-m Anglo-Australian Telescope. Using least-squares deconvolution to improve the effective signal-to-noise ratio we produced two Doppler maps. These show similar features to maps of other rapidly rotating T Tauri stars, i.e. a polar spot with more spots extending out of it down to equator. Comparison of the two maps was carried out to measure the differential rotation. Cross-correlation and parameter fitting indicates that TWA 6 does not have detectable differential rotation.

The Balmer emission of the star was studied. The mean Hα profile has a narrow component consistent with rotational broadening and a broad component extending out to ±250 km s−1. The variability in Hα suggests that the chromosphere has active regions that are cospatial with the spots in the photosphere, similar to the ‘plages’ observed on the Sun. In addition the star has at least one slingshot prominence 3R* above the surface – the first such detection in a T Tauri star.

1 INTRODUCTION

1.1 T Tauri stars

T Tauri stars are pre-main-sequence equivalents of Sun-like stars. They are young, have low masses (0.3–1.0 M) and spectral types F–M (Hayashi 1966). The T Tauri phase is considered to begin when the star becomes optically visible and continues until hydrogen burning begins and the star has reached the post-T Tauri phase at an age of the order of 107 yr (depending on spectral type).

Very young stars fall on Hayashi tracks on the Hertzsprung–Russell diagram, i.e. vertical tracks of constant temperature. As the star approaches the zero-age main-sequence (ZAMS) it can either continue to follow the Hayashi track all the way on to the ZAMS (and remain fully convective), or develop a radiative core and turn on to the Henyey track and evolve on to the ZAMS with constant luminosity and increasing temperature. Which of these evolutionary paths the T Tauri star follows is thought to depend on the mass of the star but observations of TTS with ages close to this turn-off will allow us to characterize this stage of stellar evolution more fully.

T Tauri stars fall into two subcategories – classical and weak line (Bertout 1989 and references therein). Observations of classical TTS (CTTS) show excess ultraviolet and infrared emission and strong emission-line activity, characteristics which are due to the presence of a circumstellar disc. The star–disc interactions lead to strong, irregular variability that is predominately due to accretion of material from the disc on to the surface. The disc has a braking effect on the star, causing CTTS to rotate more slowly than their discless equivalents (Bouvier et al. 1993; Collier Cameron & Campbell 1993).

Weak-line T Tauri stars (WTTS) have weaker emission-line activity and show less evidence of accretion. WTTS appear to be older than CTTS on average (Armitage, Clarke & Palla 2003), suggesting that when TTS form they have circumstellar discs which dissipate as the star evolves, but disc lifetimes are variable, ranging from 0.1 to 10 Myr (Bouvier, Forestini & Allain 1997). WTTS are variable, but in contrast to CTTS the variation is usually periodic as it is due to cool spots that go in and out of view as the star rotates. These cool spots form when magnetic flux tubes emerge through the photosphere.

Doppler imaging (Vogt & Penrod 1983) maps spots on stellar photospheres. Doppler imaging of rapidly rotating, magnetically active stars, such as WTTS, often finds spots at high latitudes and even at the poles, see e.g. Rice & Strassmeier (1996) and Strassmeier (2002), in contrast to the Sun where they are normally within ±30° of the equator. One of the favoured explanations is that Coriolis forces in rapidly rotating stars cause the flux tubes to emerge at higher latitudes (Schuessler & Solanki 1992; Caligari et al. 1994).

In the past Doppler imaging of cool stars has been limited by its challenging signal-to-noise ratio (S/N) requirements. The technique of least-squares deconvolution (LSD; Donati et al. 1997) has made it possible to produce Doppler images of stars for which the S/N would be too low if individual spectral lines were used. In LSD the underlying rotationally broadened line profile for each spectrum is found by deconvolving a line list from the spectrum. This makes it possible for late-K T Tauri stars to be imaged, where previously the S/N requirements would have been prohibitive.

Sunspots are accompanied by prominences, i.e. loops of material that follow the magnetic field lines emerging through the surface of the star. High-lying prominences, known as ‘slingshot prominences’, typically appear as fast-moving absorption transients and have been observed in a number of young stars such as Speedy Mic (Dunstone et al. 2006) and AB Dor (Collier Cameron & Robinson 1989; Donati et al. 1999), but not in any TTS to date. These prominences are viewed as a tracer for large-scale magnetic fields. If a T Tauri star was shown to be able to support such high-lying prominences for several rotational periods it would suggest the presence of a large-scale field that does not decay away quickly outside the stellar radius.

1.2 Differential rotation in stars with deep convection zones

Fully convective stars are believed to have a distributed magnetic dynamo (α2), arising from turbulent motions or Coriolis forces, rather than a solar-type dynamo (αΩ) that is due to both convection and differential rotation, as seen in stars with radiative cores.

Differential rotation, when rotational velocity is a function of latitude, is expected to be less apparent with increasing convection zone depth (Kitchatinov & Rüdiger 1999), so stars with larger convection zones are expected to rotate more like a solid body. Differential rotation in the Sun gives rise to the Ω effect that produces a large-scale toroidal field from the small-scale poloidal field. Most models for an α2 dynamo rule out the possibility of there being differential rotation in fully convective stars (e.g. Chabrier & Küker 2006). However, Dobler, Stix & Brandenburg (2006) suggest fully convective stars have significant differential rotation, although this would not be Sun-like, and takes the form of a meridional circulation.

Observations to date have only attempted to detect the latitudinal differential rotation seen in the Sun. A recent measurement for the fully convective M4 dwarf V374 Peg (Morin et al. 2008) found a weak differential rotation (around 0.1 of the solar value). Differential rotation has been observed to fall with decreasing photospheric temperature. For example, fig. 2 in Barnes et al. (2005a) plots differential rotation against temperature. The trend seems to imply that differential rotation approaches zero below 4000 K but it is uncertain where it becomes undetectable as there has been no measurement to date of stars with temperatures between 3800 and 4500 K. In addition there have not been any reliable measurements of differential rotation in T Tauri stars. Such measurements are needed to confirm that TTS follow these trends too.

1.3 TW Hydrae association

Nearby young comoving groups are a rich source of T Tauri stars for observation. Our chosen targets lie in the TW Hydrae association (TWA), a group of pre-main-sequence stars lying at a distance of about 51 ± 5pc and with an age of 8 Myr (Zuckerman & Song 2004). Of the 24 likely members of the TWA, 16 have had their periods measured in Lawson & Crause (2005). The age of this association is an important one as it is corresponds to the mean age of circumstellar discs and hence the time when T Tauri stars can begin to spin up, so the members of this association are interesting objects for study. The star that gives the association its name (TW Hya) is a classical T Tauri star, spectral type K7. Its disc has been directly imaged in Krist et al. (2000) and its magnetic field was detected in Yang, Johns-Krull & Valenti (2007). Although it is rotating fairly rapidly (P= 2.8d) it is almost pole-on and is therefore not a suitable candidate for Doppler imaging.

This paper concerns another member of the TW Hydrae association – TWA 6. It has a spectral type of K7 (Webb et al. 1999), corresponding to a temperature of about 4000 K for a T Tauri star (Cohen & Kuhi 1979). Models by Siess, Dufour & Forestini (2000) indicate that it is fully convective or just beginning to develop a radiative core. Photometry has revealed a large light-curve amplitude, with a variation of 0.49 mag in the V band (Lawson & Crause 2005). Its rapid rotation, v sin i= 55 km s−1 (Webb et al. 1999) and period of 0.54 d (Lawson & Crause 2005) make it an excellent target for Doppler imaging. In this paper we present Doppler images of TWA 6, and a discussion of whether it has differential rotation. We also analyse the Balmer line emission in order to study the behaviour of the chromosphere.

2 OBSERVATIONS AND DATA REDUCTION

Observations were carried out at the Anglo-Australian Telescope (AAT) using the University College London Echelle Spectrograph (UCLES) and the EEV2 2000 × 4000 detector between 2006 February 11 and 20. In order to detect differential rotation observations were made with a gap of four nights. By doing this two maps can be made of the star allowing differential rotation to be detected, or an upper limit placed on its value (Petit, Donati & Collier Cameron 2004). With three nights of observations on either side of this gap full phase coverage was achievable on these two separate occasions.

We took spectra of the targets, telluric and spectral standard stars, and calibration frames (see Tables 1 and 2). UCLES was centred at 5500 giving a wavelength coverage of 4400–7200 Å. A slit width of 1.0 arcsec was used giving a spectral resolution of 45 000.

Table 1

The observations made on the nights of 2006 February 11–13. Spectral types in the ‘Comments’ column refer to spectral standards. The S/N is the maximum for the set of exposures.

ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371109:42:5620198Telluric
HR 30371109:46:151201164Telluric
HD 346731109:58:05200168K3
TWA 61110:25:43900653Target 1
HR 30371112:10:19201105Telluric
HD 529191112:16:17200179K5
TWA 61112:22:44900563Target 1
SAO 1166401113:45:024501110K7
TWA 61113:55:31900558Target 1
TWA 61115:17:37900562Target 1
TWA 171116:43:211200148Target 2
TWA 61118:01:59900453Target 1
GJ 2041209:40:18120258K5
GJ 3331A1210:01:49900116M2Diffuse cloud
TWA 61210:23:33900119Target 1Diffuse cloud
TWA 61210:42:4790013Target 1Aborted 148 s
HD 190071211:04:33200140K4Heavy cloud
TWA 171212:42:061200131Target 2
HR 30371213:06:2820190Telluric
TWA 171213:13:371200233Target 2
TWA 171214:06:491200342Target 2
HR 30371215:26:5620140TelluricCloud
TWA 171215:42:301200228Target 2Cloud
HR 30371216:48:5120187Telluric
TWA 171216:55:161200336Target 2Some fog
HR 30371309:32:4220149Telluric
HD 529191309:35:50200190K5
SAO 1166401309:40:57400182K7
GJ 3331A1309:50:39900118M2
TWA 61310:09:24900937Target 1Seeing > 2 arcsec
GJ 2041312:36:26120167K5
TWA 171312:44:301200223Target 2Seeing > 2 arcsec
TWA 61313:31:51900139Target 1Seeing > 2 arcsec
TWA 171313:49:341200230Target 2Seeing > 2 arcsec
TWA 61314:33:20900142Target 1Seeing > 2 arcsec
TWA 171315:01:471200227Target 2
TWA 61315:35:40900144Target 1
TWA 171315:54:081200431Target 2
TWA 61317:22:43900149Target 1
TWA 171317:40:591200434Target 2
ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371109:42:5620198Telluric
HR 30371109:46:151201164Telluric
HD 346731109:58:05200168K3
TWA 61110:25:43900653Target 1
HR 30371112:10:19201105Telluric
HD 529191112:16:17200179K5
TWA 61112:22:44900563Target 1
SAO 1166401113:45:024501110K7
TWA 61113:55:31900558Target 1
TWA 61115:17:37900562Target 1
TWA 171116:43:211200148Target 2
TWA 61118:01:59900453Target 1
GJ 2041209:40:18120258K5
GJ 3331A1210:01:49900116M2Diffuse cloud
TWA 61210:23:33900119Target 1Diffuse cloud
TWA 61210:42:4790013Target 1Aborted 148 s
HD 190071211:04:33200140K4Heavy cloud
TWA 171212:42:061200131Target 2
HR 30371213:06:2820190Telluric
TWA 171213:13:371200233Target 2
TWA 171214:06:491200342Target 2
HR 30371215:26:5620140TelluricCloud
TWA 171215:42:301200228Target 2Cloud
HR 30371216:48:5120187Telluric
TWA 171216:55:161200336Target 2Some fog
HR 30371309:32:4220149Telluric
HD 529191309:35:50200190K5
SAO 1166401309:40:57400182K7
GJ 3331A1309:50:39900118M2
TWA 61310:09:24900937Target 1Seeing > 2 arcsec
GJ 2041312:36:26120167K5
TWA 171312:44:301200223Target 2Seeing > 2 arcsec
TWA 61313:31:51900139Target 1Seeing > 2 arcsec
TWA 171313:49:341200230Target 2Seeing > 2 arcsec
TWA 61314:33:20900142Target 1Seeing > 2 arcsec
TWA 171315:01:471200227Target 2
TWA 61315:35:40900144Target 1
TWA 171315:54:081200431Target 2
TWA 61317:22:43900149Target 1
TWA 171317:40:591200434Target 2
Table 1

The observations made on the nights of 2006 February 11–13. Spectral types in the ‘Comments’ column refer to spectral standards. The S/N is the maximum for the set of exposures.

ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371109:42:5620198Telluric
HR 30371109:46:151201164Telluric
HD 346731109:58:05200168K3
TWA 61110:25:43900653Target 1
HR 30371112:10:19201105Telluric
HD 529191112:16:17200179K5
TWA 61112:22:44900563Target 1
SAO 1166401113:45:024501110K7
TWA 61113:55:31900558Target 1
TWA 61115:17:37900562Target 1
TWA 171116:43:211200148Target 2
TWA 61118:01:59900453Target 1
GJ 2041209:40:18120258K5
GJ 3331A1210:01:49900116M2Diffuse cloud
TWA 61210:23:33900119Target 1Diffuse cloud
TWA 61210:42:4790013Target 1Aborted 148 s
HD 190071211:04:33200140K4Heavy cloud
TWA 171212:42:061200131Target 2
HR 30371213:06:2820190Telluric
TWA 171213:13:371200233Target 2
TWA 171214:06:491200342Target 2
HR 30371215:26:5620140TelluricCloud
TWA 171215:42:301200228Target 2Cloud
HR 30371216:48:5120187Telluric
TWA 171216:55:161200336Target 2Some fog
HR 30371309:32:4220149Telluric
HD 529191309:35:50200190K5
SAO 1166401309:40:57400182K7
GJ 3331A1309:50:39900118M2
TWA 61310:09:24900937Target 1Seeing > 2 arcsec
GJ 2041312:36:26120167K5
TWA 171312:44:301200223Target 2Seeing > 2 arcsec
TWA 61313:31:51900139Target 1Seeing > 2 arcsec
TWA 171313:49:341200230Target 2Seeing > 2 arcsec
TWA 61314:33:20900142Target 1Seeing > 2 arcsec
TWA 171315:01:471200227Target 2
TWA 61315:35:40900144Target 1
TWA 171315:54:081200431Target 2
TWA 61317:22:43900149Target 1
TWA 171317:40:591200434Target 2
ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371109:42:5620198Telluric
HR 30371109:46:151201164Telluric
HD 346731109:58:05200168K3
TWA 61110:25:43900653Target 1
HR 30371112:10:19201105Telluric
HD 529191112:16:17200179K5
TWA 61112:22:44900563Target 1
SAO 1166401113:45:024501110K7
TWA 61113:55:31900558Target 1
TWA 61115:17:37900562Target 1
TWA 171116:43:211200148Target 2
TWA 61118:01:59900453Target 1
GJ 2041209:40:18120258K5
GJ 3331A1210:01:49900116M2Diffuse cloud
TWA 61210:23:33900119Target 1Diffuse cloud
TWA 61210:42:4790013Target 1Aborted 148 s
HD 190071211:04:33200140K4Heavy cloud
TWA 171212:42:061200131Target 2
HR 30371213:06:2820190Telluric
TWA 171213:13:371200233Target 2
TWA 171214:06:491200342Target 2
HR 30371215:26:5620140TelluricCloud
TWA 171215:42:301200228Target 2Cloud
HR 30371216:48:5120187Telluric
TWA 171216:55:161200336Target 2Some fog
HR 30371309:32:4220149Telluric
HD 529191309:35:50200190K5
SAO 1166401309:40:57400182K7
GJ 3331A1309:50:39900118M2
TWA 61310:09:24900937Target 1Seeing > 2 arcsec
GJ 2041312:36:26120167K5
TWA 171312:44:301200223Target 2Seeing > 2 arcsec
TWA 61313:31:51900139Target 1Seeing > 2 arcsec
TWA 171313:49:341200230Target 2Seeing > 2 arcsec
TWA 61314:33:20900142Target 1Seeing > 2 arcsec
TWA 171315:01:471200227Target 2
TWA 61315:35:40900144Target 1
TWA 171315:54:081200431Target 2
TWA 61317:22:43900149Target 1
TWA 171317:40:591200434Target 2
Table 2

As Table 1, but for observations made on the nights of 2006 February 17–20.

ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371717:07:4020175TelluricLate start
TWA 61717:10:02900659Target
GJ 5291816:53:38200138K4.5Storms
TWA 61817:14:09900467Target
BD -20 46451818:23:376501114K6
HR 30371909:55:30201121TelluricCloud/seeing > 2 arcsec
BD -02 8011910:02:108001115K6Cloud/seeing >2 arcsec
TWA 61910:18:29900342Target 1Third aborted 768 s
HR 30371915:05:5520174TelluricStorm
TWA 61915:08:40900858Target 1Some cloud
TWA 171917:19:031200146Target 2Some cloud
TWA 61917:41:09900454Target 1Some cloud
HR 30372009:40:29201110TelluricCirrus cloud
TWA 62009:45:469001438Target 1Cirrus cloud
HR 30372014:36:2820197TelluricCirrus cloud
TWA 62014:39:229001051Target 1Cirrus cloud
TWA 172017:22:401200231Target 2Cirrus cloud
ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371717:07:4020175TelluricLate start
TWA 61717:10:02900659Target
GJ 5291816:53:38200138K4.5Storms
TWA 61817:14:09900467Target
BD -20 46451818:23:376501114K6
HR 30371909:55:30201121TelluricCloud/seeing > 2 arcsec
BD -02 8011910:02:108001115K6Cloud/seeing >2 arcsec
TWA 61910:18:29900342Target 1Third aborted 768 s
HR 30371915:05:5520174TelluricStorm
TWA 61915:08:40900858Target 1Some cloud
TWA 171917:19:031200146Target 2Some cloud
TWA 61917:41:09900454Target 1Some cloud
HR 30372009:40:29201110TelluricCirrus cloud
TWA 62009:45:469001438Target 1Cirrus cloud
HR 30372014:36:2820197TelluricCirrus cloud
TWA 62014:39:229001051Target 1Cirrus cloud
TWA 172017:22:401200231Target 2Cirrus cloud
Table 2

As Table 1, but for observations made on the nights of 2006 February 17–20.

ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371717:07:4020175TelluricLate start
TWA 61717:10:02900659Target
GJ 5291816:53:38200138K4.5Storms
TWA 61817:14:09900467Target
BD -20 46451818:23:376501114K6
HR 30371909:55:30201121TelluricCloud/seeing > 2 arcsec
BD -02 8011910:02:108001115K6Cloud/seeing >2 arcsec
TWA 61910:18:29900342Target 1Third aborted 768 s
HR 30371915:05:5520174TelluricStorm
TWA 61915:08:40900858Target 1Some cloud
TWA 171917:19:031200146Target 2Some cloud
TWA 61917:41:09900454Target 1Some cloud
HR 30372009:40:29201110TelluricCirrus cloud
TWA 62009:45:469001438Target 1Cirrus cloud
HR 30372014:36:2820197TelluricCirrus cloud
TWA 62014:39:229001051Target 1Cirrus cloud
TWA 172017:22:401200231Target 2Cirrus cloud
ObjectDateut startExposure time (s)No. of framesS/NCommentsConditions
HR 30371717:07:4020175TelluricLate start
TWA 61717:10:02900659Target
GJ 5291816:53:38200138K4.5Storms
TWA 61817:14:09900467Target
BD -20 46451818:23:376501114K6
HR 30371909:55:30201121TelluricCloud/seeing > 2 arcsec
BD -02 8011910:02:108001115K6Cloud/seeing >2 arcsec
TWA 61910:18:29900342Target 1Third aborted 768 s
HR 30371915:05:5520174TelluricStorm
TWA 61915:08:40900858Target 1Some cloud
TWA 171917:19:031200146Target 2Some cloud
TWA 61917:41:09900454Target 1Some cloud
HR 30372009:40:29201110TelluricCirrus cloud
TWA 62009:45:469001438Target 1Cirrus cloud
HR 30372014:36:2820197TelluricCirrus cloud
TWA 62014:39:229001051Target 1Cirrus cloud
TWA 172017:22:401200231Target 2Cirrus cloud

The weather on the first three nights was reasonably good, and although conditions and seeing were variable (seeing ranged from 1.2 to 2.2 arcsec) in total only 3 h were lost. 36 good-quality spectra of TWA 6 were obtained, as well as 27 spectra of our secondary target TWA 17 (Skelly et al., in preparation). On the second set of nights the weather was of variable quality and more time was lost. Of a potential 24 h we had 13 h of observing time, with seeing between 1.3 and 2.2 arcsec. Most of this time were concentrated on TWA 6 and a further 39 spectra were obtained. An additional 1.5 h of observing time was obtained on 2006 February 17 due to the early finish of aluminizing the telescope mirror.

2.1 Data reduction

Data reduction was carried out with the star-link routine echomop (Mills, Webb & Clayton 1997). Frames were bias subtracted and flat-fielded, cosmic rays were removed and the spectra were extracted. Sky subtraction was carried out by subtracting a polynomial fitted to the interorder gaps. The spectra were normalized using a continuum fit to a star of the same spectral type. The spectral type (K7) was verified by eye by identifying the best temperature fit to the spectra in comparison with the template spectra. Wavelength calibration was carried out using ThAr arc spectra.

3 LEAST-SQUARES DECONVOLUTION

As the 36+39 spectra did not have a high enough S/N for Doppler imaging we used LSD (described in Donati et al. 1997) to extract the underlying rotationally broadened profiles. LSD uses matrix inversion to deconvolve a line list from a spectrum to leave a high-S/N profile. The program spdecon (implemented as described in Barnes et al. 1998) was used to do this. We used a line list from the Vienna Atomic Line Database (VALD Kupka et al. 2000) for a 4000-K star. Over 4000 images of 2000 spectral lines were used in the deconvolution leading to a signal gain of ∼60. For the deconvolution, the lines were weighted by counts2/variance. The effect of this is to favour regions of the spectrum with higher S/N, and the centres of the orders rather than the wings. The resultant line profiles had a mean centroidal wavelength of 5530 Å.

There was a small consistent tilt in the profiles which was removed by fitting a straight line between the two sections of continuum on the left- and right-hand sides. This tilt changed depending on which spectral standard was used and hence is most likely due to a small mismatch between the temperatures of the star and the spectral standards. In addition there was a feature near 0 km s−1 in many of the profiles. It was identified as being due to moonlight in the spectra as it only appeared to be present when the Moon was above the horizon (Fig. 1).

The dashed line shows the mean deconvolved profile for the first data set (2006 February 11–13). There is an absorption feature due to sunlight reflected off the Moon at 0 km s−1. The solid line is the mean of the profiles after this feature was removed and a slope was removed. Mean errors are shown for the data after the feature was removed. The errors close to 0 km s−1 have been increased due to the subtraction.
Figure 1

The dashed line shows the mean deconvolved profile for the first data set (2006 February 11–13). There is an absorption feature due to sunlight reflected off the Moon at 0 km s−1. The solid line is the mean of the profiles after this feature was removed and a slope was removed. Mean errors are shown for the data after the feature was removed. The errors close to 0 km s−1 have been increased due to the subtraction.

As we did not have a solar spectrum we deconvolved the hottest template spectrum (K3) we had taken with UCLES to model the shape of this feature. We were unable to find a pattern to its depth as it is difficult to disentangle from variations due to surface features. We failed to find a relationship between its equivalent width and the zenith distance, time or seeing, although the absorption signal was stronger during bad weather. Hence for all spectra taken when the Moon was up, a constant shape was subtracted from all profiles taken within the same night (see Fig. 1). This was calculated by inspecting the mean of all profiles, and subtracting a profile such that the absorption feature was not obvious in the mean. A scalefactor was calculated separately for each night. The errors for the pixels affected were increased so that these pixels would have a lower influence on the final image produced. This was done by adding in quadrature the error produced by spdecon and the amount that was subtracted from each pixel.

Each of the deconvolved profiles has been normalized by dividing through by the mean profile. In Fig. 2 the normalized profiles have been stacked and shown in grey-scale. As spots appear in emission the lighter regions in these images show the spots being carried across the stellar disc. Spot groups are apparent at the same phases in both, particularly around phases 0.05 and 0.55, corresponding to longitudes of 340° and 160°. This suggests that the spot distribution is similar at both epochs.

Grey-scale images of the LSD profiles divided by the mean profile for February 11–13 (left-hand image) and February 17–20 (right-hand image). Spots appear as emission (white). The grey-scale is given in the bar at the bottom.
Figure 2

Grey-scale images of the LSD profiles divided by the mean profile for February 11–13 (left-hand image) and February 17–20 (right-hand image). Spots appear as emission (white). The grey-scale is given in the bar at the bottom.

4 DOPPLER IMAGING

4.1 Doppler imaging code

The unnormalized profiles and corresponding errors produced by spdecon are used as inputs for the program dots (Collier Cameron 2001). The program calculates the surface temperature distribution by using χ2 minimization to find the best fit to the data. A two-temperature model is used to describe the star (Collier Cameron & Unruh 1994) and each element of the star is assigned a spot filling factor f. dots finds an optimal solution by minimizing χ2 while maximizing the entropy of the image. It is not sufficient to simply minimize χ2 as a large number of images may fit the data, particularly when the errors are large. The maximum entropy approach allows a unique image to be returned that does not contain information that was not required by the data (Skilling & Bryan 1984). dots also requires a look-up table, containing the shape of the unbroadened spectral line at a number of limb angles and at the spot and photospheric temperatures.

4.2 Stellar parameters

Many of the parameters of TWA 6 were known from previous work and are listed in Table 3. Also listed are our new or updated parameters as determined using χ2 minimization. Testing the program with artificial data has shown that nearly all of the parameters can be derived independently by finding the value which gives the lowest χ2 (even if the other parameters have not yet been fixed). However, for some parameters the minimization must be carried out for two parameters simultaneously, e.g. period and differential rotation must be determined together (see Section 4.5 for further discussion of differential rotation). Of the previously measured values only one changed by a notable amount: the projected rotational velocity, v sin i was found to have a value of 72 km s−1, somewhat higher than the previously measured value of 55 km s−1 (Webb et al. 1999).

Table 3

Previously known and updated parameters for TWA 6.

ParameterPrevious valueNew valueReference
Spectral typeK7K7(1)
Temperature (K)4000 ± 200(2)
V magnitude12(3)
VR1.19(2)
Distance (pc)51 ± 5(1)
v sin i (km s−1)55 ± 1072 ± 1(3), this paper
Period (d)0.54 ± 0.010.5409 ± 0.000 05(4), this paper
Inclination (°)47+10−8This paper
Radius (R)1.05+0.16−0.15This paper
Mass (M)0.7 ± 0.2(5), this paper
Luminosity (L)0.16+0.13−0.080.25 ± 0.04(3), this paper
ParameterPrevious valueNew valueReference
Spectral typeK7K7(1)
Temperature (K)4000 ± 200(2)
V magnitude12(3)
VR1.19(2)
Distance (pc)51 ± 5(1)
v sin i (km s−1)55 ± 1072 ± 1(3), this paper
Period (d)0.54 ± 0.010.5409 ± 0.000 05(4), this paper
Inclination (°)47+10−8This paper
Radius (R)1.05+0.16−0.15This paper
Mass (M)0.7 ± 0.2(5), this paper
Luminosity (L)0.16+0.13−0.080.25 ± 0.04(3), this paper
Table 3

Previously known and updated parameters for TWA 6.

ParameterPrevious valueNew valueReference
Spectral typeK7K7(1)
Temperature (K)4000 ± 200(2)
V magnitude12(3)
VR1.19(2)
Distance (pc)51 ± 5(1)
v sin i (km s−1)55 ± 1072 ± 1(3), this paper
Period (d)0.54 ± 0.010.5409 ± 0.000 05(4), this paper
Inclination (°)47+10−8This paper
Radius (R)1.05+0.16−0.15This paper
Mass (M)0.7 ± 0.2(5), this paper
Luminosity (L)0.16+0.13−0.080.25 ± 0.04(3), this paper
ParameterPrevious valueNew valueReference
Spectral typeK7K7(1)
Temperature (K)4000 ± 200(2)
V magnitude12(3)
VR1.19(2)
Distance (pc)51 ± 5(1)
v sin i (km s−1)55 ± 1072 ± 1(3), this paper
Period (d)0.54 ± 0.010.5409 ± 0.000 05(4), this paper
Inclination (°)47+10−8This paper
Radius (R)1.05+0.16−0.15This paper
Mass (M)0.7 ± 0.2(5), this paper
Luminosity (L)0.16+0.13−0.080.25 ± 0.04(3), this paper

Constraining the inclination is slightly more difficult. The minimum of the χ2 plot is not as clear as with some of the other parameters and the curve is very shallow around the minimum χ2, found at an inclination of 47°. This difficulty in obtaining the inclination angle has been noted in other work e.g. Kuerster, Schmitt & Cutispoto (1994) where ± 10° is given as a reasonable range. The errors given in Table 3 were determined by eye from the width of the ‘trough’ in the χ2 versus sin i plot.

Using the inclination angle, period and projected equatorial velocity the radius was calculated. The resulting value of 1.05 R is within one sigma of the value calculated using the distance and VR colour of (0.8 ± 0.4) R, using the method described in Gray (1992). It should be noted that the distance quoted in Table 3 is determined using Hipparcos distances to other members of the TWA and is therefore uncertain so the radius determination using the rotational velocity and period is the more reliable one.

Assuming an age of 8 Myr, an effective temperature of 4000 K and a luminosity of 0.25 L the best-fitting mass of the star, from both the Alexander, Augason & Johnson (1989) and the Kurucz (1991) opacities (D'Antona & Mazzitelli 1994), is 0.7 M. The luminosity was calculated using the radius and effective temperature.

4.3 Surface images

Fig. 3 shows the fits to the profiles for both data sets. For the first data set we achieve a χ2 of 1.7, in the second data set it is 2.6. A reduced χ2 of 1.0 is not achieved for either data set. The errors estimated in LSD using photon noise statistics are often underestimated in the case of unpolarized spectra (Donati & Collier Cameron 1997). No scaling of errors was carried out in this work, so χ2 values greater than 1 are expected. The normalized residuals of the fits compared to the data were studied and there are no obvious systematic effects increasing the χ2 or introducing artefacts into the maps. The distortions in the profiles are very large, suggesting the star has high spot filling factors and sizable temperature differences on the surface. This may explain the previous identification of the TWA 6 as a binary star in Jayawardhana et al. (2006), as the presence of a large distortion at the line centre may cause it to be mistaken for a double-lined binary.

Fits (lines) and deconvolved profiles (symbols) for TWA 6 during 2006 February. The fits for dates 11–13 are shown in the two boxes on the left-hand side, and those for the dates 17–20 are in the two on the right-hand side. The numbers on the right-hand side of the plots are the rotational phase at time of observation. The error bars for the data are drawn. The larger error bars in the last 11 profiles in the second box are due to the removal of a feature due to moonlight in the spectra.
Figure 3

Fits (lines) and deconvolved profiles (symbols) for TWA 6 during 2006 February. The fits for dates 11–13 are shown in the two boxes on the left-hand side, and those for the dates 17–20 are in the two on the right-hand side. The numbers on the right-hand side of the plots are the rotational phase at time of observation. The error bars for the data are drawn. The larger error bars in the last 11 profiles in the second box are due to the removal of a feature due to moonlight in the spectra.

The maps given by these fits are shown in Figs 4 and 5. In all maps white represents a zero spot filling factor and a temperature of 4000 K, black represents complete spot filling and a temperature of 3300 K. Both maps show a polar spot and features extending out of it down to lower latitudes and some isolated spots near the equator. The features are consistent between the two maps, and both are consistent with Fig. 6 which was obtained by fitting both data sets simultaneously. The structure of the polar spot can be seen more clearly in Fig. 7, which shows the star in a flattened polar projection.

Doppler image produced from the data from 2006 February 11 to 13, shown as a Mercator projection. White represents a zero spot filling factor and a temperature of 4000 K, black represents complete spot filling and a temperature of 3300 K. The grey-scale is shown on the right-hand side, and latitude on the left-hand side. Tick marks along the bottom edge of the map show the phase coverage of the data. The average filling factor f is 9.5 per cent.
Figure 4

Doppler image produced from the data from 2006 February 11 to 13, shown as a Mercator projection. White represents a zero spot filling factor and a temperature of 4000 K, black represents complete spot filling and a temperature of 3300 K. The grey-scale is shown on the right-hand side, and latitude on the left-hand side. Tick marks along the bottom edge of the map show the phase coverage of the data. The average filling factor f is 9.5 per cent.

As Fig. 4, but for the second set of data (from 2006 February 17 to 20). The average filling factor is 10.7 per cent.
Figure 5

As Fig. 4, but for the second set of data (from 2006 February 17 to 20). The average filling factor is 10.7 per cent.

As Fig. 4, but for the combination of both data sets. The average filling factor is 9.5 per cent.
Figure 6

As Fig. 4, but for the combination of both data sets. The average filling factor is 9.5 per cent.

A polar projection of the Doppler map for the full data set for 2006 February 11–20. Dotted circles are at latitude intervals of 30°, the solid circle is at the equator. Longitude intervals of 30° are also shown. The numbers around the edge show phases from 0 to 1, corresponding to those given in Fig. 3. Tick marks are placed at phases where observations were made.
Figure 7

A polar projection of the Doppler map for the full data set for 2006 February 11–20. Dotted circles are at latitude intervals of 30°, the solid circle is at the equator. Longitude intervals of 30° are also shown. The numbers around the edge show phases from 0 to 1, corresponding to those given in Fig. 3. Tick marks are placed at phases where observations were made.

High latitude and polar spots are not observed on the Sun, but the presence of a polar spot is common to other young K stars, e.g. LO Peg (Barnes et al. 2005b) and V410 Tau (Schmidt et al. 2005). In rapidly rotating stars polar spots have been explained by Coriolis forces causing magnetic flux tubes to rise almost parallel to the rotational axis (Schuessler & Solanki 1992). Magnetohydrodynamical calculations in Caligari et al. (1994) confirmed that for stars with high rotational velocities and deep convection zones high spot emergence latitudes are expected.

Granzer et al. (2000) carried out simulations of flux tube emergence in stars with a variety of rotation rates and masses. According to these models, for a TTS with a mass of 0.7 M and an angular velocity 50 times that of the Sun, the predominate flux tube emergence should be within a latitude range 60°–90°. The lower latitude spots are not predicted. In the model for rapidly rotating stars (Ω≥ 10 Ω) with very small radiative cores the Coriolis force is expected to overwhelm the buoyancy forces. The flux tubes detach from the overshoot layer altogether and the resulting flux rings rise close to the pole, giving rise to little spot emergence below 60°. TWA 6 has spot emergence at all latitudes above the equator, and the spot distribution looks more like that for a 1.0 M star. However, given the uncertainty in its mass this is not unreasonable.

4.4 Photometric light curves

The Doppler images produced in Section 4.3 were used to produce monochromatic synthetic light curves centred at B, V and I. The results were double peaked profiles with the secondary peak being about one-eighth the size of the primary. Photometry is often used as a constraint on spot sizes, e.g. Vogt et al. (1999); however, contemporaneous photometry of TWA 6 does not exist. We can qualitatively compare our light curves with the photometry in Lawson & Crause (2005), taken in 2000 March. In doing this we are not intending to directly compare the light curves, as several years elapsed between the two sets of measurements, only to check that our spot maps are plausible in light of previous results.

As the central wavelength of our LSD profiles is ∼ 5500 comparison should be made with the V-band photometry. The amplitude of the variability, 0.1 mag is around one-fifth of the value measured by Lawson & Crause (2005)(ΔV = 0.5). At first sight this suggests that the spot coverage when our measurements were made was rather different to when the photometry in Lawson & Crause (2005) was carried out. It should however be noted that it is rather difficult to reliably recover the amplitude of the variation using spectroscopy alone as spots at low latitudes will be given less weight in Doppler imaging, and the amplitude will be underestimated, see e.g. Unruh, Collier Cameron & Cutispoto (1995).

The light-curve amplitude of ΔV = 0.5 mag is large compared to other WTTS, where amplitudes of ∼0.1 are more typical. A check should therefore be made to make sure our spot/photospheric flux differences are realistic. A simple calculation suggests that a spot coverage of approximately 40 per cent on one hemisphere (i.e. 20 per cent of the total surface) can recreate the observed brightness change. By using dots to produce synthetic images effects like limb darkening can be taken into account. Using our spot temperature of 3300 K a light curve with an amplitude of 0.5 can be produced with a Gaussian spot at 30° latitude and a mean spot filling factor of 9 per cent. Such a spot has a full width at half-maximum (FWHM) of 13°. The mean filling factor in the images in Figs 4–6 is 10 per cent. This suggests that there was only one major spot group in 2000 whereas in 2006 there were relatively large mid-latitude spots apart from the main group at phase 0.0. Hence it is likely that a combination of underestimation of the variability using Doppler imaging and a change in the spot coverage over the intervening years causes the discrepancy. There is certainly a case for further photometry on this object, as subsequent sections will show.

4.5 Differential rotation

Figs 4 and 5 show close agreement between the spots in the two data sets. Fig. 8 shows the contours of the second map overlaid on the grey-scale image of the first. The two images in this case were constructed using similar phases in order to remove differences that may arise due to the different phase coverage of the two data sets. The alignment of the spots suggests that there is no strong differential rotation in TWA 6. The main differences are in the spots at lower latitudes, where the spots in the grey-scale seem slightly larger. However, given the difficulties in determining the exact latitudinal extent and weight of low-latitude features some differences are to be expected. There is no strong evidence of the meridional circulation of the type referred to in Section 1.2.

The grey-scale image from first data set overlaid with the contours of the second for the Northern hemisphere. The two images were reconstructed using similar phases.
Figure 8

The grey-scale image from first data set overlaid with the contours of the second for the Northern hemisphere. The two images were reconstructed using similar phases.

To quantify the differential rotation more rigorously the two images were cross-correlated at each latitude band with a range of longitude shifts. If differential rotation of the type observed in the Sun was occurring this would be apparent as the band of maximum correlation would curve towards negative longitude shifts at higher latitudes. A solar-type differential rotation can be described by
1

where Ω0 is the angular velocity of the star at the equator, φ is the latitude and ΔΩ is the difference in angular velocities between the equator and the poles. Fig. 9 plots the value of the cross-correlation in a latitude range 0°–70°. There is no apparent curvature in the position of the maximum correlation. An upper limit on ΔΩ can be calculated by fitting Gaussians to each latitude band in the cross-correlation. At each 10° latitude band between 0° and 70° the mean position of the Gaussian peak is always within one pixel of 0° (one pixel corresponds to 2°). At higher latitudes it becomes more difficult to cross-correlate the images due to the large polar spot and lower velocity ranges at those latitudes. At lower latitudes the width of the Gaussian can provide an upper limit to the differential rotation. The mean width of the Gaussians between 0° and 50° (where most of the isolated spots are) gives an upper limit on ΔΩ of 0.04 rad d−1.

Cross-correlation of the first map with the second. The solid white line shows the maximum correlation at each latitude. The black curves are a contour map of the velocity represented by each part of the cross-correlation image. Δv is the velocity resolution of the instrument (6.7 km s−1).
Figure 9

Cross-correlation of the first map with the second. The solid white line shows the maximum correlation at each latitude. The black curves are a contour map of the velocity represented by each part of the cross-correlation image. Δv is the velocity resolution of the instrument (6.7 km s−1).

Carrying out a similar cross-correlation, but this time comparing longitude bands between the two images, allows us to investigate whether the star exhibits differential rotation along the meridional direction. As before, a Gaussian was fitted to each band in the correlation image (not shown), the mean FWHM of these Gaussians gives an upper limit on this form of differential rotation of 0.02 rad d−1.

As a further constraint on the differential rotation dots was used to explore the parameter space to find the values which give the minimum χ2. The relevant parameters which should be varied can be found in equation (1). The differential rotation of the star can be parametrized using ΔΩ, but Ω0 must be varied simultaneously, equivalent to varying the period and differential rotation. The result of this is shown in Fig. 10, which is a two-dimensional plot of χ2 against differential rotation and the angular velocity. We find that the minimum χ2 is at period 0.540 91 d and differential rotation 0.00 rad d−1, further evidence that the star does not have differential rotation.

A plot of the χ2 value for a variety of angular speeds and differential rotation values, where Ω0 and ΔΩ are as in equation (1). The χ2 values are given in the bar at the bottom. The minimum χ2, at the ‘+’ in the plot, is at Ω= 11.616 rad d−1 (corresponding to a period of 0.540 91 d) and ΔΩ= 0.0 rad d−1. The smallest contour is at a χ2 of 2.376, and approximately corresponds to the 3σ confidence level.
Figure 10

A plot of the χ2 value for a variety of angular speeds and differential rotation values, where Ω0 and ΔΩ are as in equation (1). The χ2 values are given in the bar at the bottom. The minimum χ2, at the ‘+’ in the plot, is at Ω= 11.616 rad d−1 (corresponding to a period of 0.540 91 d) and ΔΩ= 0.0 rad d−1. The smallest contour is at a χ2 of 2.376, and approximately corresponds to the 3σ confidence level.

By drawing contours of Δχ2 confidence levels can be placed on the values of Ω0 and ΔΩ obtained. When using χ2 minimization to find a parameter value there is a 67 per cent probability of the true value lying in the range where Δχ2≤ 1 (Press 2002). The 1σ confidence level therefore lies at Δχ2= 1. As our minimum χ2 is more than 1.0 all the χ2 values must be divided by the minimum χ2. The surface is then multiplied by the number of degrees of freedom in the fit, i.e. the number of spectral data points used to create the Doppler image. The 1σ confidence level indicates that differential rotation lies within the range ±0.003 rad d−1.

5 BALMER LINE ANALYSIS

Balmer lines are a useful probe of the circumstellar environment of TTS. Hα emission is formed in the stellar chromosphere, disc and wind when hydrogen atoms are ionized by photons from the stellar surface. When a prominence lies in front of the stellar disc from our point of view most of the Balmer line photons will scattered out of our line of sight, so prominences in front of the stellar disc appear in absorption. When the prominence is off the stellar disc the photons will be scattered into our line of sight and the prominence appears in emission.

Fig. 11 shows the mean Hα and Hβ profile shapes for the spectra in the first and second data sets. The raw profiles shown on top and underneath a broadened absorption spectrum have been subtracted off. The absorption spectrum was created by broadening the normalized template K7 spectrum to a v sin i of 72 km s−1. The telluric lines have been removed.

Mean Hα profiles (top) and Hβ (bottom). In each plot the upper set of lines shows the normalized mean profile for the first data set (solid line) and second data set (dashed line). The lower set of lines is the mean profile with a rotationally broadened absorption profile subtracted off. The template spectrum was rotationally broadened to the v sin i of TWA 6 (72 km s−1), shifted to an appropriate radial velocity, scaled and subtracted. The telluric lines have been divided out. For Hα the unsubtracted and subtracted lines have an equivalent width of 5 and 4.2 Å, respectively, while for Hβ it is 1.2 and 1.0 Å.
Figure 11

Mean Hα profiles (top) and Hβ (bottom). In each plot the upper set of lines shows the normalized mean profile for the first data set (solid line) and second data set (dashed line). The lower set of lines is the mean profile with a rotationally broadened absorption profile subtracted off. The template spectrum was rotationally broadened to the v sin i of TWA 6 (72 km s−1), shifted to an appropriate radial velocity, scaled and subtracted. The telluric lines have been divided out. For Hα the unsubtracted and subtracted lines have an equivalent width of 5 and 4.2 Å, respectively, while for Hβ it is 1.2 and 1.0 Å.

Both Hα and Hβ profiles have a narrow component with an FWHM of 110 km s−1 and 113 km s−1, respectively. This in good agreement with the expected FWHM of a rotationally broadened spectral line for a star with a v sin i of 72 km s−1, which is 112 km s−1 (Gray 1992) if a limb darkening of 0.88 is assumed (Al-Naimiy 1978). The subtracted Hα profiles have additional broad wings. These are more prominent on the blue side. The subtracted Hβ profiles by contrast appear to only have a narrow component.

The presence of a broad component on the Hα emission is supported by the calculation of the variance profile, shown in Fig. 12. As described in Johns & Basri (1995) this is calculated using
2
The normalized variance profiles for Hα. The solid line is the variance profiles for the first data set and the dashed line is for the second data set. This shows variance out to ±250 km s−1. The small peak at ∼− 350 km s−1 is due to the presence of an absorption line.
Figure 12

The normalized variance profiles for Hα. The solid line is the variance profiles for the first data set and the dashed line is for the second data set. This shows variance out to ±250 km s−1. The small peak at ∼− 350 km s−1 is due to the presence of an absorption line.

Fig. 12 shows that the Hα emission varies out to ±250 km s−1, well beyond the v sin i of 72 km s−1. A similar calculation was carried out for Hβ but this showed negligible variability off the stellar disc and has not been shown here.

Figs 13 and 14 are grey-scale images of Hα divided by a mean profile, at narrow and wide velocity scales, shown with the LSD profiles for comparison. In the left-hand and central images of Fig. 13 there is a strong similarity between the LSD and Hα profiles. The bright regions coincide in these images, suggesting that the spots on the photosphere correspond with active Hα regions. The equivalent Hβ image has similar features, although it is noisier and has not been shown. The S/N in Hα is lower than for the LSD as the LSD profiles have been produced using about 2000 lines; we are thus not able to resolve fine detail in the Hα images that we can see in the LSD image.

Grey-scale images for the first set of data (covering 2006 February 11–13). From left- to right-hand side, the normalized deconvolved profiles from Fig. 2; the normalized Hα at velocity range ± 90 km s−1 (bin width 4.2 km s−1) and the normalized Hα at velocity range ± 500 km s−1 (bin widths 17 km s−1). The scale of the centre and right-hand images is given by the bar at the bottom, while the scale of the left-hand image is as in Fig. 2. The similarity between the left-hand and central images should be noted, the bright regions correspond, particularly from phase 0.4 to 1.0. In the right-hand image there is a sinusoidal feature with an amplitude of 285 km s−1, see also Fig. 16.
Figure 13

Grey-scale images for the first set of data (covering 2006 February 11–13). From left- to right-hand side, the normalized deconvolved profiles from Fig. 2; the normalized Hα at velocity range ± 90 km s−1 (bin width 4.2 km s−1) and the normalized Hα at velocity range ± 500 km s−1 (bin widths 17 km s−1). The scale of the centre and right-hand images is given by the bar at the bottom, while the scale of the left-hand image is as in Fig. 2. The similarity between the left-hand and central images should be noted, the bright regions correspond, particularly from phase 0.4 to 1.0. In the right-hand image there is a sinusoidal feature with an amplitude of 285 km s−1, see also Fig. 16.

As Fig. 13 for the second set of data, covering 2006 February 17–20. The scale bar refers to the centre and right-hand images; the left-hand image is as in Fig. 2.
Figure 14

As Fig. 13 for the second set of data, covering 2006 February 17–20. The scale bar refers to the centre and right-hand images; the left-hand image is as in Fig. 2.

The correspondence is less clear between phases 0 and 0.4 in Fig. 13 than in phases 0.4–1.0. There is a dark feature at around 50 km s−1 in the Hα which is making the contrast more difficult to see. In Fig. 14 there is also similarity, between phases 0 and 0.4 some of the bright regions coincide. At phases 0.4–0.6 in the Hα there are dark features masking any possible correspondence but there is some correspondence between phases 0.6 and 1.0.

Fig. 15 shows the LSD image with the contours of the Hα on top. Both images have been smoothed. The tick marks show the direction of decreasing intensity. The straight horizontal edges in the contour plot are where the phase coverage was incomplete. The alignment between the bright regions is apparent in the left-hand image for phase 0.4–1.0. In the right-hand image alignment appears to be present between phases 0.6 and 1.0 only. Note that we have assumed Sun-like rotation, so a phase of 0.4 corresponds to a longitude of 216°. Hence the increased Hα emission appears to associated with the group of spots between 60° and 220°.

LSD profiles shown in grey-scale, overlaid with the contours of the Hα profiles, for 2006 February 11–13 (left-hand image) and 2006 February 17–20 (right-hand image). The LSD and Hα profiles are as in Figs 13 and 14 but they have been smoothed.
Figure 15

LSD profiles shown in grey-scale, overlaid with the contours of the Hα profiles, for 2006 February 11–13 (left-hand image) and 2006 February 17–20 (right-hand image). The LSD and Hα profiles are as in Figs 13 and 14 but they have been smoothed.

The behaviour implied by Fig. 13 is similar to the Sun but has not often been observed in other stars. While low-lying plages have been inferred previously, e.g. Donati & Collier Cameron (1997) and Fernández et al. (2004), we believe that this is the first observation of such a clear alignment of phases and velocities, indicating that the plages are overlying the spots. This is in contrast to observations of earlier type stars such as AB Dor and Speedy Mic where the dominant signal is from higher lying prominences (known as ‘slingshot prominences’).

Also shown on the right-hand sides Figs 13 and 14 is Hα variability within a velocity range of ±500 km s−1. There are features well outside the v sin i of the star, suggesting that slingshot prominences can be seen in emission off the stellar disc. In particular there is a bright emission feature in Fig. 13 that is can be fitted with a sinusoid, shown in Fig. 16. In this figure the image has been smoothed and the contrast has been enhanced, and a sinusoid has been overplotted. The maximum velocity of this sinusoid is 285 km s−1. If we assume the prominence is corotating with the star then it is lying at a height of about 4R*. The star has a corotation radius of 2.4R*. Jardine & van Ballegooijen (2005) show that a star of this corotation radius can support prominences out to 4.8R*. The model assumes that the prominences are embedded in the wind rather than an extended corona. Slingshot prominences have not been detected before in T Tauri stars – their presence suggests that the star can support stable structures beyond corotation.

Hα variability overplotted with a sinusoid indicating the position of a slingshot prominence. The maximum velocity is 285 km s−1. The vertical lines are at ±v sin i, i.e. ±72 km s−1.
Figure 16

Hα variability overplotted with a sinusoid indicating the position of a slingshot prominence. The maximum velocity is 285 km s−1. The vertical lines are at ±v sin i, i.e. ±72 km s−1.

Other explanations for this large velocity range should also be considered. For example, there may be infalling gas, close to the surface but with a maximum velocity component along our line of sight of around 285 km s−1. The observed velocity will vary sinusoidally as the star rotates. Unless the gas is falling directly on to the equator the magnitude of the velocity would not be the same at phases separated by 0.5, as they appear to be here. However, if it was on the equator we would not see it for part of the rotation as the inclination of the star would cause it to go out of sight.

The spectra plotted in Fig. 13 were taken over three nights, corresponding to about 5.5 rotational periods. All the spectra used in Fig. 13 were taken on either the first or third day of observations. Most taken on the third day lie in the phase range 0.5–0.7 where the brightening is less obvious, which implies that the prominence was only present on the first night. However, there are two spectra from the third night in the phase range 0.7–1.0 which do support the presence of a prominence, in particular the line at phase ∼0.75 shows a brightening at velocities ∼ 300 km s−1. The prominence may be less apparent at phase 0.5–0.7 because it is on the far side of the star at that time and is obscured by circumstellar material.

In Fig. 14 there are features outside v sin i that may be evidence of more slingshot prominences, particularly between phases 0.6 and 1.0. However, they do not seem to be present at other phases and there is not enough information to justify identifying them as prominences. Also, as they are not at the same phases as the prominence in Fig. 13 it is clear that this prominence has not survived the 5 d between the two sets of observations, suggesting lifetimes of the order of a few days.

6 CONCLUSIONS

Spectra of TWA 6 were taken at AAT/UCLES during two epochs separated by approximately nine rotational periods. Using these spectra and Doppler imaging two maps of its spot distribution were produced. The spot distribution of TWA 6 is qualitatively similar to other T Tauri stars, e.g. LO Peg (Barnes et al. 2005b) and V410 Tau (Schmidt et al. 2005), with the predominant spot emergence at high latitudes and spots all the way to the equator.

In the Sun photospheric spots are often coincident with ‘plages’, active regions in the chromosphere, usually observed using an Hα filter. The Hα emission of TWA 6 indicates that the active chromospheric regions are cospatial with the photospheric spots – similar to the behaviour of the Sun. This supports previous findings that Hα emission in young stars increases when spot coverage is larger (Donati & Collier Cameron 1997; Fernández et al. 2004) but here we have, for the first time, a strong indication that the plages are overlying the spots.

TWA 6 appears to support slingshot prominences, the first such observation in a T Tauri star. At least one prominence is observed, lying at a velocity of 285 km s−1 which corresponds to a radial distance of 4R* from the axis. There is evidence that the prominence survives for three days after the initial detection – suggesting that the structure is stable over at least 5.5 rotational periods. The presence of a stable slingshot prominence at a height of 3R* from the surface suggests that the star has a large-scale field. Further observations of TWA 6 are justified in order to fully characterize its prominence system, as well as of other stars of similar age and spectral type to determine whether the behaviour set out in this paper is typical.

The star has no differential rotation (upper limit 0.003 rad d−1), in line with the previously observed trend that differential rotation decreases with decreasing effective temperature and increasing rotational velocity. Earlier differential rotation measurements have been for older objects; here we have extended the observations to younger stars. The null measurement is consistent with expectations for the spectral type and angular speed of TWA 6 and indicates that T Tauri stars exhibit solid-body rotation.

Thanks to D. Mortlock and N. Dunstone for useful discussions; the staff at the AAT for their help during the observing run and the anonymous referee for helpful comments. The VALD provided the spectral line lists used, and the data reduction was carried out using Starlink software. MBS would like to acknowledge the financial support of STFC. WAL acknowledges financial support from UNSW@ADFA Faculty Research Grants.

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