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M. B. Skelly, Y. C. Unruh, A. Collier Cameron, J. R. Barnes, J.-F. Donati, W. A. Lawson, B. D. Carter, Doppler images and chromospheric variability of TWA 6, Monthly Notices of the Royal Astronomical Society, Volume 385, Issue 2, February 2008, Pages 708–718, https://doi.org/10.1111/j.1365-2966.2008.12917.x
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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.
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 11 | 09:42:56 | 20 | 1 | 98 | Telluric | |
HR 3037 | 11 | 09:46:15 | 120 | 1 | 164 | Telluric | |
HD 34673 | 11 | 09:58:05 | 200 | 1 | 68 | K3 | |
TWA 6 | 11 | 10:25:43 | 900 | 6 | 53 | Target 1 | |
HR 3037 | 11 | 12:10:19 | 20 | 1 | 105 | Telluric | |
HD 52919 | 11 | 12:16:17 | 200 | 1 | 79 | K5 | |
TWA 6 | 11 | 12:22:44 | 900 | 5 | 63 | Target 1 | |
SAO 116640 | 11 | 13:45:02 | 450 | 1 | 110 | K7 | |
TWA 6 | 11 | 13:55:31 | 900 | 5 | 58 | Target 1 | |
TWA 6 | 11 | 15:17:37 | 900 | 5 | 62 | Target 1 | |
TWA 17 | 11 | 16:43:21 | 1200 | 1 | 48 | Target 2 | |
TWA 6 | 11 | 18:01:59 | 900 | 4 | 53 | Target 1 | |
GJ 204 | 12 | 09:40:18 | 120 | 2 | 58 | K5 | |
GJ 3331A | 12 | 10:01:49 | 900 | 1 | 16 | M2 | Diffuse cloud |
TWA 6 | 12 | 10:23:33 | 900 | 1 | 19 | Target 1 | Diffuse cloud |
TWA 6 | 12 | 10:42:47 | 900 | 1 | 3 | Target 1 | Aborted 148 s |
HD 19007 | 12 | 11:04:33 | 200 | 1 | 40 | K4 | Heavy cloud |
TWA 17 | 12 | 12:42:06 | 1200 | 1 | 31 | Target 2 | |
HR 3037 | 12 | 13:06:28 | 20 | 1 | 90 | Telluric | |
TWA 17 | 12 | 13:13:37 | 1200 | 2 | 33 | Target 2 | |
TWA 17 | 12 | 14:06:49 | 1200 | 3 | 42 | Target 2 | |
HR 3037 | 12 | 15:26:56 | 20 | 1 | 40 | Telluric | Cloud |
TWA 17 | 12 | 15:42:30 | 1200 | 2 | 28 | Target 2 | Cloud |
HR 3037 | 12 | 16:48:51 | 20 | 1 | 87 | Telluric | |
TWA 17 | 12 | 16:55:16 | 1200 | 3 | 36 | Target 2 | Some fog |
HR 3037 | 13 | 09:32:42 | 20 | 1 | 49 | Telluric | |
HD 52919 | 13 | 09:35:50 | 200 | 1 | 90 | K5 | |
SAO 116640 | 13 | 09:40:57 | 400 | 1 | 82 | K7 | |
GJ 3331A | 13 | 09:50:39 | 900 | 1 | 18 | M2 | |
TWA 6 | 13 | 10:09:24 | 900 | 9 | 37 | Target 1 | Seeing > 2 arcsec |
GJ 204 | 13 | 12:36:26 | 120 | 1 | 67 | K5 | |
TWA 17 | 13 | 12:44:30 | 1200 | 2 | 23 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 13:31:51 | 900 | 1 | 39 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 13:49:34 | 1200 | 2 | 30 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 14:33:20 | 900 | 1 | 42 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 15:01:47 | 1200 | 2 | 27 | Target 2 | |
TWA 6 | 13 | 15:35:40 | 900 | 1 | 44 | Target 1 | |
TWA 17 | 13 | 15:54:08 | 1200 | 4 | 31 | Target 2 | |
TWA 6 | 13 | 17:22:43 | 900 | 1 | 49 | Target 1 | |
TWA 17 | 13 | 17:40:59 | 1200 | 4 | 34 | Target 2 |
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 11 | 09:42:56 | 20 | 1 | 98 | Telluric | |
HR 3037 | 11 | 09:46:15 | 120 | 1 | 164 | Telluric | |
HD 34673 | 11 | 09:58:05 | 200 | 1 | 68 | K3 | |
TWA 6 | 11 | 10:25:43 | 900 | 6 | 53 | Target 1 | |
HR 3037 | 11 | 12:10:19 | 20 | 1 | 105 | Telluric | |
HD 52919 | 11 | 12:16:17 | 200 | 1 | 79 | K5 | |
TWA 6 | 11 | 12:22:44 | 900 | 5 | 63 | Target 1 | |
SAO 116640 | 11 | 13:45:02 | 450 | 1 | 110 | K7 | |
TWA 6 | 11 | 13:55:31 | 900 | 5 | 58 | Target 1 | |
TWA 6 | 11 | 15:17:37 | 900 | 5 | 62 | Target 1 | |
TWA 17 | 11 | 16:43:21 | 1200 | 1 | 48 | Target 2 | |
TWA 6 | 11 | 18:01:59 | 900 | 4 | 53 | Target 1 | |
GJ 204 | 12 | 09:40:18 | 120 | 2 | 58 | K5 | |
GJ 3331A | 12 | 10:01:49 | 900 | 1 | 16 | M2 | Diffuse cloud |
TWA 6 | 12 | 10:23:33 | 900 | 1 | 19 | Target 1 | Diffuse cloud |
TWA 6 | 12 | 10:42:47 | 900 | 1 | 3 | Target 1 | Aborted 148 s |
HD 19007 | 12 | 11:04:33 | 200 | 1 | 40 | K4 | Heavy cloud |
TWA 17 | 12 | 12:42:06 | 1200 | 1 | 31 | Target 2 | |
HR 3037 | 12 | 13:06:28 | 20 | 1 | 90 | Telluric | |
TWA 17 | 12 | 13:13:37 | 1200 | 2 | 33 | Target 2 | |
TWA 17 | 12 | 14:06:49 | 1200 | 3 | 42 | Target 2 | |
HR 3037 | 12 | 15:26:56 | 20 | 1 | 40 | Telluric | Cloud |
TWA 17 | 12 | 15:42:30 | 1200 | 2 | 28 | Target 2 | Cloud |
HR 3037 | 12 | 16:48:51 | 20 | 1 | 87 | Telluric | |
TWA 17 | 12 | 16:55:16 | 1200 | 3 | 36 | Target 2 | Some fog |
HR 3037 | 13 | 09:32:42 | 20 | 1 | 49 | Telluric | |
HD 52919 | 13 | 09:35:50 | 200 | 1 | 90 | K5 | |
SAO 116640 | 13 | 09:40:57 | 400 | 1 | 82 | K7 | |
GJ 3331A | 13 | 09:50:39 | 900 | 1 | 18 | M2 | |
TWA 6 | 13 | 10:09:24 | 900 | 9 | 37 | Target 1 | Seeing > 2 arcsec |
GJ 204 | 13 | 12:36:26 | 120 | 1 | 67 | K5 | |
TWA 17 | 13 | 12:44:30 | 1200 | 2 | 23 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 13:31:51 | 900 | 1 | 39 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 13:49:34 | 1200 | 2 | 30 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 14:33:20 | 900 | 1 | 42 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 15:01:47 | 1200 | 2 | 27 | Target 2 | |
TWA 6 | 13 | 15:35:40 | 900 | 1 | 44 | Target 1 | |
TWA 17 | 13 | 15:54:08 | 1200 | 4 | 31 | Target 2 | |
TWA 6 | 13 | 17:22:43 | 900 | 1 | 49 | Target 1 | |
TWA 17 | 13 | 17:40:59 | 1200 | 4 | 34 | Target 2 |
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 11 | 09:42:56 | 20 | 1 | 98 | Telluric | |
HR 3037 | 11 | 09:46:15 | 120 | 1 | 164 | Telluric | |
HD 34673 | 11 | 09:58:05 | 200 | 1 | 68 | K3 | |
TWA 6 | 11 | 10:25:43 | 900 | 6 | 53 | Target 1 | |
HR 3037 | 11 | 12:10:19 | 20 | 1 | 105 | Telluric | |
HD 52919 | 11 | 12:16:17 | 200 | 1 | 79 | K5 | |
TWA 6 | 11 | 12:22:44 | 900 | 5 | 63 | Target 1 | |
SAO 116640 | 11 | 13:45:02 | 450 | 1 | 110 | K7 | |
TWA 6 | 11 | 13:55:31 | 900 | 5 | 58 | Target 1 | |
TWA 6 | 11 | 15:17:37 | 900 | 5 | 62 | Target 1 | |
TWA 17 | 11 | 16:43:21 | 1200 | 1 | 48 | Target 2 | |
TWA 6 | 11 | 18:01:59 | 900 | 4 | 53 | Target 1 | |
GJ 204 | 12 | 09:40:18 | 120 | 2 | 58 | K5 | |
GJ 3331A | 12 | 10:01:49 | 900 | 1 | 16 | M2 | Diffuse cloud |
TWA 6 | 12 | 10:23:33 | 900 | 1 | 19 | Target 1 | Diffuse cloud |
TWA 6 | 12 | 10:42:47 | 900 | 1 | 3 | Target 1 | Aborted 148 s |
HD 19007 | 12 | 11:04:33 | 200 | 1 | 40 | K4 | Heavy cloud |
TWA 17 | 12 | 12:42:06 | 1200 | 1 | 31 | Target 2 | |
HR 3037 | 12 | 13:06:28 | 20 | 1 | 90 | Telluric | |
TWA 17 | 12 | 13:13:37 | 1200 | 2 | 33 | Target 2 | |
TWA 17 | 12 | 14:06:49 | 1200 | 3 | 42 | Target 2 | |
HR 3037 | 12 | 15:26:56 | 20 | 1 | 40 | Telluric | Cloud |
TWA 17 | 12 | 15:42:30 | 1200 | 2 | 28 | Target 2 | Cloud |
HR 3037 | 12 | 16:48:51 | 20 | 1 | 87 | Telluric | |
TWA 17 | 12 | 16:55:16 | 1200 | 3 | 36 | Target 2 | Some fog |
HR 3037 | 13 | 09:32:42 | 20 | 1 | 49 | Telluric | |
HD 52919 | 13 | 09:35:50 | 200 | 1 | 90 | K5 | |
SAO 116640 | 13 | 09:40:57 | 400 | 1 | 82 | K7 | |
GJ 3331A | 13 | 09:50:39 | 900 | 1 | 18 | M2 | |
TWA 6 | 13 | 10:09:24 | 900 | 9 | 37 | Target 1 | Seeing > 2 arcsec |
GJ 204 | 13 | 12:36:26 | 120 | 1 | 67 | K5 | |
TWA 17 | 13 | 12:44:30 | 1200 | 2 | 23 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 13:31:51 | 900 | 1 | 39 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 13:49:34 | 1200 | 2 | 30 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 14:33:20 | 900 | 1 | 42 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 15:01:47 | 1200 | 2 | 27 | Target 2 | |
TWA 6 | 13 | 15:35:40 | 900 | 1 | 44 | Target 1 | |
TWA 17 | 13 | 15:54:08 | 1200 | 4 | 31 | Target 2 | |
TWA 6 | 13 | 17:22:43 | 900 | 1 | 49 | Target 1 | |
TWA 17 | 13 | 17:40:59 | 1200 | 4 | 34 | Target 2 |
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 11 | 09:42:56 | 20 | 1 | 98 | Telluric | |
HR 3037 | 11 | 09:46:15 | 120 | 1 | 164 | Telluric | |
HD 34673 | 11 | 09:58:05 | 200 | 1 | 68 | K3 | |
TWA 6 | 11 | 10:25:43 | 900 | 6 | 53 | Target 1 | |
HR 3037 | 11 | 12:10:19 | 20 | 1 | 105 | Telluric | |
HD 52919 | 11 | 12:16:17 | 200 | 1 | 79 | K5 | |
TWA 6 | 11 | 12:22:44 | 900 | 5 | 63 | Target 1 | |
SAO 116640 | 11 | 13:45:02 | 450 | 1 | 110 | K7 | |
TWA 6 | 11 | 13:55:31 | 900 | 5 | 58 | Target 1 | |
TWA 6 | 11 | 15:17:37 | 900 | 5 | 62 | Target 1 | |
TWA 17 | 11 | 16:43:21 | 1200 | 1 | 48 | Target 2 | |
TWA 6 | 11 | 18:01:59 | 900 | 4 | 53 | Target 1 | |
GJ 204 | 12 | 09:40:18 | 120 | 2 | 58 | K5 | |
GJ 3331A | 12 | 10:01:49 | 900 | 1 | 16 | M2 | Diffuse cloud |
TWA 6 | 12 | 10:23:33 | 900 | 1 | 19 | Target 1 | Diffuse cloud |
TWA 6 | 12 | 10:42:47 | 900 | 1 | 3 | Target 1 | Aborted 148 s |
HD 19007 | 12 | 11:04:33 | 200 | 1 | 40 | K4 | Heavy cloud |
TWA 17 | 12 | 12:42:06 | 1200 | 1 | 31 | Target 2 | |
HR 3037 | 12 | 13:06:28 | 20 | 1 | 90 | Telluric | |
TWA 17 | 12 | 13:13:37 | 1200 | 2 | 33 | Target 2 | |
TWA 17 | 12 | 14:06:49 | 1200 | 3 | 42 | Target 2 | |
HR 3037 | 12 | 15:26:56 | 20 | 1 | 40 | Telluric | Cloud |
TWA 17 | 12 | 15:42:30 | 1200 | 2 | 28 | Target 2 | Cloud |
HR 3037 | 12 | 16:48:51 | 20 | 1 | 87 | Telluric | |
TWA 17 | 12 | 16:55:16 | 1200 | 3 | 36 | Target 2 | Some fog |
HR 3037 | 13 | 09:32:42 | 20 | 1 | 49 | Telluric | |
HD 52919 | 13 | 09:35:50 | 200 | 1 | 90 | K5 | |
SAO 116640 | 13 | 09:40:57 | 400 | 1 | 82 | K7 | |
GJ 3331A | 13 | 09:50:39 | 900 | 1 | 18 | M2 | |
TWA 6 | 13 | 10:09:24 | 900 | 9 | 37 | Target 1 | Seeing > 2 arcsec |
GJ 204 | 13 | 12:36:26 | 120 | 1 | 67 | K5 | |
TWA 17 | 13 | 12:44:30 | 1200 | 2 | 23 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 13:31:51 | 900 | 1 | 39 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 13:49:34 | 1200 | 2 | 30 | Target 2 | Seeing > 2 arcsec |
TWA 6 | 13 | 14:33:20 | 900 | 1 | 42 | Target 1 | Seeing > 2 arcsec |
TWA 17 | 13 | 15:01:47 | 1200 | 2 | 27 | Target 2 | |
TWA 6 | 13 | 15:35:40 | 900 | 1 | 44 | Target 1 | |
TWA 17 | 13 | 15:54:08 | 1200 | 4 | 31 | Target 2 | |
TWA 6 | 13 | 17:22:43 | 900 | 1 | 49 | Target 1 | |
TWA 17 | 13 | 17:40:59 | 1200 | 4 | 34 | Target 2 |
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 17 | 17:07:40 | 20 | 1 | 75 | Telluric | Late start |
TWA 6 | 17 | 17:10:02 | 900 | 6 | 59 | Target | |
GJ 529 | 18 | 16:53:38 | 200 | 1 | 38 | K4.5 | Storms |
TWA 6 | 18 | 17:14:09 | 900 | 4 | 67 | Target | |
BD -20 4645 | 18 | 18:23:37 | 650 | 1 | 114 | K6 | |
HR 3037 | 19 | 09:55:30 | 20 | 1 | 121 | Telluric | Cloud/seeing > 2 arcsec |
BD -02 801 | 19 | 10:02:10 | 800 | 1 | 115 | K6 | Cloud/seeing >2 arcsec |
TWA 6 | 19 | 10:18:29 | 900 | 3 | 42 | Target 1 | Third aborted 768 s |
HR 3037 | 19 | 15:05:55 | 20 | 1 | 74 | Telluric | Storm |
TWA 6 | 19 | 15:08:40 | 900 | 8 | 58 | Target 1 | Some cloud |
TWA 17 | 19 | 17:19:03 | 1200 | 1 | 46 | Target 2 | Some cloud |
TWA 6 | 19 | 17:41:09 | 900 | 4 | 54 | Target 1 | Some cloud |
HR 3037 | 20 | 09:40:29 | 20 | 1 | 110 | Telluric | Cirrus cloud |
TWA 6 | 20 | 09:45:46 | 900 | 14 | 38 | Target 1 | Cirrus cloud |
HR 3037 | 20 | 14:36:28 | 20 | 1 | 97 | Telluric | Cirrus cloud |
TWA 6 | 20 | 14:39:22 | 900 | 10 | 51 | Target 1 | Cirrus cloud |
TWA 17 | 20 | 17:22:40 | 1200 | 2 | 31 | Target 2 | Cirrus cloud |
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 17 | 17:07:40 | 20 | 1 | 75 | Telluric | Late start |
TWA 6 | 17 | 17:10:02 | 900 | 6 | 59 | Target | |
GJ 529 | 18 | 16:53:38 | 200 | 1 | 38 | K4.5 | Storms |
TWA 6 | 18 | 17:14:09 | 900 | 4 | 67 | Target | |
BD -20 4645 | 18 | 18:23:37 | 650 | 1 | 114 | K6 | |
HR 3037 | 19 | 09:55:30 | 20 | 1 | 121 | Telluric | Cloud/seeing > 2 arcsec |
BD -02 801 | 19 | 10:02:10 | 800 | 1 | 115 | K6 | Cloud/seeing >2 arcsec |
TWA 6 | 19 | 10:18:29 | 900 | 3 | 42 | Target 1 | Third aborted 768 s |
HR 3037 | 19 | 15:05:55 | 20 | 1 | 74 | Telluric | Storm |
TWA 6 | 19 | 15:08:40 | 900 | 8 | 58 | Target 1 | Some cloud |
TWA 17 | 19 | 17:19:03 | 1200 | 1 | 46 | Target 2 | Some cloud |
TWA 6 | 19 | 17:41:09 | 900 | 4 | 54 | Target 1 | Some cloud |
HR 3037 | 20 | 09:40:29 | 20 | 1 | 110 | Telluric | Cirrus cloud |
TWA 6 | 20 | 09:45:46 | 900 | 14 | 38 | Target 1 | Cirrus cloud |
HR 3037 | 20 | 14:36:28 | 20 | 1 | 97 | Telluric | Cirrus cloud |
TWA 6 | 20 | 14:39:22 | 900 | 10 | 51 | Target 1 | Cirrus cloud |
TWA 17 | 20 | 17:22:40 | 1200 | 2 | 31 | Target 2 | Cirrus cloud |
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 17 | 17:07:40 | 20 | 1 | 75 | Telluric | Late start |
TWA 6 | 17 | 17:10:02 | 900 | 6 | 59 | Target | |
GJ 529 | 18 | 16:53:38 | 200 | 1 | 38 | K4.5 | Storms |
TWA 6 | 18 | 17:14:09 | 900 | 4 | 67 | Target | |
BD -20 4645 | 18 | 18:23:37 | 650 | 1 | 114 | K6 | |
HR 3037 | 19 | 09:55:30 | 20 | 1 | 121 | Telluric | Cloud/seeing > 2 arcsec |
BD -02 801 | 19 | 10:02:10 | 800 | 1 | 115 | K6 | Cloud/seeing >2 arcsec |
TWA 6 | 19 | 10:18:29 | 900 | 3 | 42 | Target 1 | Third aborted 768 s |
HR 3037 | 19 | 15:05:55 | 20 | 1 | 74 | Telluric | Storm |
TWA 6 | 19 | 15:08:40 | 900 | 8 | 58 | Target 1 | Some cloud |
TWA 17 | 19 | 17:19:03 | 1200 | 1 | 46 | Target 2 | Some cloud |
TWA 6 | 19 | 17:41:09 | 900 | 4 | 54 | Target 1 | Some cloud |
HR 3037 | 20 | 09:40:29 | 20 | 1 | 110 | Telluric | Cirrus cloud |
TWA 6 | 20 | 09:45:46 | 900 | 14 | 38 | Target 1 | Cirrus cloud |
HR 3037 | 20 | 14:36:28 | 20 | 1 | 97 | Telluric | Cirrus cloud |
TWA 6 | 20 | 14:39:22 | 900 | 10 | 51 | Target 1 | Cirrus cloud |
TWA 17 | 20 | 17:22:40 | 1200 | 2 | 31 | Target 2 | Cirrus cloud |
Object | Date | ut start | Exposure time (s) | No. of frames | S/N | Comments | Conditions |
HR 3037 | 17 | 17:07:40 | 20 | 1 | 75 | Telluric | Late start |
TWA 6 | 17 | 17:10:02 | 900 | 6 | 59 | Target | |
GJ 529 | 18 | 16:53:38 | 200 | 1 | 38 | K4.5 | Storms |
TWA 6 | 18 | 17:14:09 | 900 | 4 | 67 | Target | |
BD -20 4645 | 18 | 18:23:37 | 650 | 1 | 114 | K6 | |
HR 3037 | 19 | 09:55:30 | 20 | 1 | 121 | Telluric | Cloud/seeing > 2 arcsec |
BD -02 801 | 19 | 10:02:10 | 800 | 1 | 115 | K6 | Cloud/seeing >2 arcsec |
TWA 6 | 19 | 10:18:29 | 900 | 3 | 42 | Target 1 | Third aborted 768 s |
HR 3037 | 19 | 15:05:55 | 20 | 1 | 74 | Telluric | Storm |
TWA 6 | 19 | 15:08:40 | 900 | 8 | 58 | Target 1 | Some cloud |
TWA 17 | 19 | 17:19:03 | 1200 | 1 | 46 | Target 2 | Some cloud |
TWA 6 | 19 | 17:41:09 | 900 | 4 | 54 | Target 1 | Some cloud |
HR 3037 | 20 | 09:40:29 | 20 | 1 | 110 | Telluric | Cirrus cloud |
TWA 6 | 20 | 09:45:46 | 900 | 14 | 38 | Target 1 | Cirrus cloud |
HR 3037 | 20 | 14:36:28 | 20 | 1 | 97 | Telluric | Cirrus cloud |
TWA 6 | 20 | 14:39:22 | 900 | 10 | 51 | Target 1 | Cirrus cloud |
TWA 17 | 20 | 17:22:40 | 1200 | 2 | 31 | Target 2 | Cirrus 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).
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.
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).
Parameter | Previous value | New value | Reference |
Spectral type | K7 | K7 | (1) |
Temperature (K) | – | 4000 ± 200 | (2) |
V magnitude | 12 | – | (3) |
V−R | 1.19 | – | (2) |
Distance (pc) | 51 ± 5 | – | (1) |
v sin i (km s−1) | 55 ± 10 | 72 ± 1 | (3), this paper |
Period (d) | 0.54 ± 0.01 | 0.5409 ± 0.000 05 | (4), this paper |
Inclination (°) | – | 47+10−8 | This paper |
Radius (R⊙) | – | 1.05+0.16−0.15 | This paper |
Mass (M⊙) | – | 0.7 ± 0.2 | (5), this paper |
Luminosity (L⊙) | 0.16+0.13−0.08 | 0.25 ± 0.04 | (3), this paper |
Parameter | Previous value | New value | Reference |
Spectral type | K7 | K7 | (1) |
Temperature (K) | – | 4000 ± 200 | (2) |
V magnitude | 12 | – | (3) |
V−R | 1.19 | – | (2) |
Distance (pc) | 51 ± 5 | – | (1) |
v sin i (km s−1) | 55 ± 10 | 72 ± 1 | (3), this paper |
Period (d) | 0.54 ± 0.01 | 0.5409 ± 0.000 05 | (4), this paper |
Inclination (°) | – | 47+10−8 | This paper |
Radius (R⊙) | – | 1.05+0.16−0.15 | This paper |
Mass (M⊙) | – | 0.7 ± 0.2 | (5), this paper |
Luminosity (L⊙) | 0.16+0.13−0.08 | 0.25 ± 0.04 | (3), this paper |
References: (1) Zuckerman & Song (2004), (2) Cohen & Kuhi (1979), (3) Webb et al. (1999), (4) Lawson & Crause (2005), (5) D'Antona & Mazzitelli (1994).
Parameter | Previous value | New value | Reference |
Spectral type | K7 | K7 | (1) |
Temperature (K) | – | 4000 ± 200 | (2) |
V magnitude | 12 | – | (3) |
V−R | 1.19 | – | (2) |
Distance (pc) | 51 ± 5 | – | (1) |
v sin i (km s−1) | 55 ± 10 | 72 ± 1 | (3), this paper |
Period (d) | 0.54 ± 0.01 | 0.5409 ± 0.000 05 | (4), this paper |
Inclination (°) | – | 47+10−8 | This paper |
Radius (R⊙) | – | 1.05+0.16−0.15 | This paper |
Mass (M⊙) | – | 0.7 ± 0.2 | (5), this paper |
Luminosity (L⊙) | 0.16+0.13−0.08 | 0.25 ± 0.04 | (3), this paper |
Parameter | Previous value | New value | Reference |
Spectral type | K7 | K7 | (1) |
Temperature (K) | – | 4000 ± 200 | (2) |
V magnitude | 12 | – | (3) |
V−R | 1.19 | – | (2) |
Distance (pc) | 51 ± 5 | – | (1) |
v sin i (km s−1) | 55 ± 10 | 72 ± 1 | (3), this paper |
Period (d) | 0.54 ± 0.01 | 0.5409 ± 0.000 05 | (4), this paper |
Inclination (°) | – | 47+10−8 | This paper |
Radius (R⊙) | – | 1.05+0.16−0.15 | This paper |
Mass (M⊙) | – | 0.7 ± 0.2 | (5), this paper |
Luminosity (L⊙) | 0.16+0.13−0.08 | 0.25 ± 0.04 | (3), this paper |
References: (1) Zuckerman & Song (2004), (2) Cohen & Kuhi (1979), (3) Webb et al. (1999), (4) Lawson & Crause (2005), (5) D'Antona & Mazzitelli (1994).
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 V−R 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.
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.
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.
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.
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.
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.
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.
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.
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°.
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.
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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