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Prominence detection and chromosphere feature on the prototype RS CVn of active binary systems

Dongtao Cao,1,2 Shenghong Gu,1,2,3111IRAF is distributed by the National Optical Astronomy Observatories, which is operated by the Association of Universities for Research in Astronomy (AURA), Inc., under cooperative agreement with the National Science Foundation. U. Wolter,4 M. Mittag,4 J. H. M. M. Schmitt,4 Dongyang Gao5 and Shaoming Hu5
1Yunnan Observatories, Chinese Academy of Sciences, Kunming 650216, China
2Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, Kunming 650216, China
3School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 101408, China
4Hamburger Sternwarte, Universität Hamburg, Hamburg D-21029, Germany
5 Shandong Provincial key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, Institute of Space Sciences, Shandong
University, Weihai 264209, China
E-mail: [email protected], [email protected]
(Accepted XXX. Received YYY; in original form ZZZ)
Abstract

We present a study of high-resolution spectra of RS Canum Venaticorum (RS CVn), a prototype of active binary systems. Our data were obtained from 1998 to 2017 using different telescopes. We analyze the chromospheric activity indicators Ca ii IRT, Hα, Na i D1, D2 doublet, He i D3, and Hβ using a spectral subtraction technique. The chromospheric emission stems mainly from the K2 IV primary star, while the F5 V secondary star only shows weak emission features in a few of our spectra. We find excess absorption features in the subtracted Hα lines and other activity indicators from spectra taken near primary eclipse, which we ascribe to prominence-like material associated with the primary star. We estimate size limits of these tentative prominences based on the geometry of the binary system, and investigate the physical properties of the strongest prominence. An optical flare, characterized by He i D3 line emission, together with stronger emission in other activity lines, was detected. The flare energy is roughly comparable to strong flares observed on other RS CVn-type stars. The chromospherically active longitudes of RS CVn most frequently appear near the two quadratures of the system and display changes between observing runs, which indicates an ongoing evolution of its active regions.

keywords:
stars: activity – stars: chromospheres – stars: flare – stars: circumstellar matter – stars: binaries: spectroscopic
pubyear: 2015pagerange: Prominence detection and chromosphere feature on the prototype RS CVn of active binary systems5

1 Introduction

A definition of RS CVn-type binary systems was first performed by Hall (1976) and subsequently refined by Fekel, Moffett, & Henry (1986): a binary system which has at least one cool component showing strong magnetic activity in several forms. This activity manifests itself as strong photometric variability caused by large starspots, chromospheric emission, transition region emission, and coronal radiation. It is commonly accepted that all of these active phenomena arise from a powerful magnetic dynamo generated by the interplay between turbulent motions in the convection zone and the stellar differential rotation. At Yunnan Observatories, we are performing a long-term high-resolution spectroscopic monitoring project that covers several RS CVn-type systems to study their magnetic activity phenomena (e.g. Gu et al., 2002; Cao & Gu, 2015; Cao et al., 2019). In the present paper, we focus on the prototype system RS CVn itself.
RS CVn (= HD 114519 = BD+36°\degr2344) is a double-lined, totally eclipsing binary system consisting of a K2 IV primary and a F5 V secondary (Reglero, Gimenez, & Estela, 1990; Rodonò, Lanza, & Becciani, 2001). The system has a period of about 4.798 days in an almost circular orbit with an inclination of ii = 85°\degr (Catalano & Rodonò, 1974; Eaton et al., 1993). Table 1 summarizes RS CVn’s properties, compiled from Eaton et al. (1993) and Rodonò, Lanza, & Becciani (2001).
RS CVn shows a significant distortion wave in its photometric light curve, caused by starspots on the surface of the K2 IV primary star (e.g. Eaton et al., 1993; Heckert & Ordway, 1995; Rodonò, Lanza, & Catalano, 1995; Rodonò, Lanza, & Becciani, 2001). Based on long-term light curves obtained between 1949 and 1993, Rodonò, Lanza, & Catalano (1995) analyzed its starspot evolution, possible activity cycles and orbital period variations. Rodonò, Lanza, & Becciani (2001) further determined accurate photometric parameters using a long-term sequence of light curves of RS CVn, taking into account the light curve distortions caused by starspots. More recently, using Doppler imaging, Xiang et al. (2020) reconstructed the starspot distribution on the primary star and estimated its surface differential rotation based on images derived from two consecutive rotational cycles.
Chromospheric activity of RS CVn has been studied by several authors, e.g. Popper (1988), Reglero, Gimenez, & Estela (1990), Fernández-Figueroa et al. (1986, 1994), and Montes et al. (1996a). RS CVn shows pronounced chromospheric emission in Ca ii H & K and other activity lines, the emission features are mainly associated with the K2 IV primary star (Reglero, Gimenez, & Estela, 1990; Montes et al., 1996a).
So far, we know only little about the magnetic activity of RS CVn’s outer atmosphere, in particular in relation to its chromosphere. Here we present the detection of prominence-like structures on RS CVn and the results of our chromospheric activity study based on the Ca ii IRT, Hα, Na i D1, D2 doublet, He i D3, and Hβ lines. Our study makes use of a large set of high-resolution spectra obtained during several observing runs between 1998 and 2017. This includes data from a joint observation campaign using telescopes located in China and Mexico in 2017 April, designed to get a dense short-term phase coverage. In Section 2, we provide details of our observations and data reduction. Our analysis of chromospheric activity indicators is described in Section 3. In Section 4, we describe in detail the different activity phenomena of RS CVn during our observations, including prominence-like events, optical flares, and chromospheric activity variations. Finally, we state our conclusions in Section 5.

Table 1: RS CVn system parameters.
Parameter Primary Secondary
Spectral type K2 IV F5 V
M/M 1.44 1.39
R/R 3.85 1.89
Semi-major axis 16.9R
Orbital inclination 85°\degr
Orbital period 4.797695d{}^{d}.797695
Mid-primary eclipse (HJD)a 2, 448, 379.1993
a Primary eclipse is defined as phase zero, where the secondary
component is totally eclipsed by the primary one.

2 Observations and data reduction

Table 2: RS CVn observing log.
Date HJD Phase Exp.time
(2,450,000+) (s)
1998 Mar, Xinglong 2.16 m
1998 Mar 14 0887.3212 0.776 3600
1998 Mar 14 0887.3635 0.785 3600
2000 Feb, Xinglong 2.16 m
2000 Feb 20 1595.3134 0.346 1800
2000 Feb 20 1595.3352 0.350 1800
2004 Feb, Xinglong 2.16 m
2004 Feb 03 3039.3954 0.341 3600
2004 Feb 05 3041.2822 0.734 2760
2004 Feb 05 3041.3664 0.752 2400
2004 Feb 07 3043.3250 0.160 3600
2004 Feb 08 3044.3839 0.380 3600
2004 Feb 09 3045.3200 0.576 3600
2016 Jan, Xinglong 2.16 m
2016 Jan 22 7410.3077 0.385 3600
2016 Jan 23 7411.3284 0.598 3600
2016 Jan 23 7411.3775 0.608 3600
2016 Jan 24 7412.2358 0.787 1800
2016 Jan 24 7412.2889 0.798 1800
2016 Jan 24 7412.3753 0.816 1800
2016 Jan 24 7412.3985 0.821 1800
2016 Jan 25 7413.2727 0.003 1800
2016 Jan 25 7413.3265 0.014 1800
2016 Jan 26 7414.2849 0.214 1800
2016 Jan 26 7414.3373 0.225 1800
2016 Jan 26 7414.3904 0.236 1800
2016 Jan 26 7414.4136 0.241 1800
2016 Jan 28 7416.2773 0.629 1800
2016 Jan 28 7416.3006 0.634 1800
2016 Jan 29 7417.2814 0.838 1800
2016 Jan 29 7417.3048 0.843 1800
2016 Jan 30 7418.3252 0.056 1800
2016 Jan 30 7418.3484 0.061 1800
2016 Jan 30 7418.3718 0.066 1800
2016 Jan 30 7418.3950 0.071 1800
2016 Jan 31 7419.2627 0.251 1800
2016 Jan 31 7419.2859 0.256 1800
2016 Jan 31 7419.3576 0.271 1800
2016 Jan 31 7419.3809 0.276 1800
2017 Apr, Weihai 1 m
2017 Apr 17 7861.0953 0.344 3600
2017 Apr 18 7862.0654 0.546 3600
2017 Apr 18 7862.1074 0.555 3600
2017 Apr 18 7862.1500 0.564 3600
2017 Apr 18 7862.2457 0.584 3600
2017 Apr 18 7862.2876 0.593 3600
2017 Apr 18 7862.3297 0.601 3600
2017 Apr, TIGRE 1.2 m
2017 Apr 14 7857.6464 0.625 800
2017 Apr 14 7857.6914 0.635 800
2017 Apr 14 7857.7343 0.644 800
2017 Apr 14 7857.7748 0.652 800
2017 Apr 14 7857.8177 0.661 800
2017 Apr 14 7857.8589 0.670 800
2017 Apr 14 7857.9406 0.687 800
2017 Apr 15 7858.6400 0.832 800
2017 Apr 16 7859.7464 0.063 800
2017 Apr 16 7859.7905 0.072 800
Table 3: continued
Date HJD Phase Exp.time
(2,450,000+) (S)
2017 Apr 16 7859.8354 0.081 800
2017 Apr 16 7859.8808 0.091 800
2017 Apr 16 7859.9340 0.102 800
2017 Apr 17 7860.6080 0.243 800
2017 Apr 17 7860.6722 0.256 800
2017 Apr 17 7860.7390 0.270 800
2017 Apr 17 7860.8788 0.299 800
2017 Apr 18 7861.6112 0.452 800
2017 Apr 19 7862.7679 0.693 800
2017 Apr 19 7862.8081 0.701 800
2017 Apr 19 7862.8686 0.714 800
2017 Apr 19 7862.9071 0.722 800
2017 Apr 20 7863.5836 0.863 800
2017 Apr 20 7863.6263 0.872 800
2017 Apr 20 7863.6656 0.880 800
2017 Apr 20 7863.7049 0.888 800
2017 Apr 20 7863.7447 0.896 800
2017 Apr 20 7863.7830 0.904 800
2017 Apr 20 7863.8261 0.913 800
2017 Apr 20 7863.8789 0.924 800
2017 Apr 20 7863.9173 0.932 800
2017 Apr 21 7864.6062 0.076 800
2017 Apr 21 7864.6449 0.084 800
2017 Apr 21 7864.6829 0.092 800
2017 Apr 21 7864.7222 0.100 800
2017 Apr 21 7864.7610 0.108 800
2017 Apr 21 7864.7995 0.116 800
2017 Apr 21 7864.8452 0.126 800
2017 Apr 21 7864.8839 0.134 800
2017 Apr 21 7864.9236 0.142 800
2017 Nov–Dec, Xinglong 2.16 m
2017 Nov 28 8086.3636 0.298 1800
2017 Nov 28 8086.3868 0.302 1800
2017 Nov 28 8086.4100 0.307 1800
2017 Nov 30 8088.3846 0.719 1800
2017 Nov 30 8088.4078 0.724 1800
2017 Dec 01 8089.3822 0.927 1800
2017 Dec 01 8089.4054 0.932 1800
2017 Dec 07 8095.3590 0.172 1800
2017 Dec 07 8095.3822 0.177 1800
2017 Dec 07 8095.4054 0.182 1800
2017 Dec 08 8096.3461 0.378 1800
2017 Dec 08 8096.3692 0.383 1800
2017 Dec 08 8096.3924 0.388 1800
2017 Dec 08 8096.4156 0.393 1800
2017 Dec 09 8097.3639 0.590 1800
2017 Dec 09 8097.3870 0.595 1800
2017 Dec 09 8097.4104 0.600 1800
2017 Dec 10 8098.3282 0.791 1800
2017 Dec 10 8098.3514 0.796 1800
2017 Dec 10 8098.3746 0.801 1800
2017 Dec 10 8098.3978 0.806 1800
2017 Dec 10 8098.4211 0.811 1800
2017 Dec 11 8099.3624 0.007 1800
2017 Dec 11 8099.3856 0.012 1800
2017 Dec 11 8099.4088 0.017 1800

During the runs of Mar. 1998, Feb. 2000, and Feb. 2004, we used the coudé echelle spectrograph (CES, Zhao & Li 2001) mounted on the 2.16-m telescope at the Xinglong station, National Astronomical Observatories, Chinese Academy of Sciences. The spectrograph covered the wavelength range of 5600–9000 Å with an average resolving power of R = λ\lambda/Δλ\Delta\lambda \simeq 37000, and the data were recorded on a 1024×10241024\times 1024 pixel CCD. The fiber-fed high-resolution spectrograph HRS was later installed on the 2.16-m telescope, which we used in Jan. 2016 and Nov–Dec. 2017. HRS produces spectra with a resolving power of R \simeq 48000 on a wavelength range of 3900–10000 Å, using a 4096×40964096\times 4096 pixel CCD.
During 2017, Apr 14 to 21, furthermore, we made a joint observation by using the 1-m telescope at the Weihai Observatory of Shandong University, China (Gao et al., 2016) and the TIGRE 1.2-m telescope of Hamburg Observatory, Germany (Schmitt et al., 2014). The Weihai Echelle Spectrograph (WES) is fiber-fed and covers the wavelength range 3800–9000 Å with an average resolving power of R \simeq 50000. TIGRE is a robotic telescope located near Guanajuato in Central Mexico and equipped with the fiber-fed spectrograph HEROS. Its spectra have a resolving power of R \simeq 20000, covering a wavelength range of 3800–5700 Å and 5800–8800 Å in its blue and red arm, respectively.
Table 3 lists our observations of RS CVn, which including the used instrument, the observing date, HJD, orbital phase, and exposure time. The orbital phases were calculated using the ephemerides given in Table 1. Besides our target RS CVn, during each run, we observed a few rapidly rotating early-type stars, used as telluric absorption line templates. Finally, we observed several slowly rotating, inactive stars with the same spectral type and luminosity class as the components of RS CVn. They are required for the spectral subtraction technique described in Section 3.
TIGRE observations are automatically reduced by the TIGRE pipeline (Mittag et al., 2010). We normalized the extracted and wavelength calibrated spectra by using a low-order polynomial fit to the observed continuum with the IRAF1 package.
All other observations were completely reduced with the IRAF package, following the standard procedures and using Th-Ar spectra of the corresponding nights for wavelength calibration. As a final step, also these spectra were normalized using low-order polynomial fit to the observed continuum.
Some of our observations during Nov–Dec. 2017, obtained at Xinglong, and Apr. 2017 taken by TIGRE, were heavy contaminated by telluric absorption lines in the chromospheric activity regions of interest. We eliminated them using the spectra of two rapidly rotating early-type stars HR 989 (B5 V, vsinivsini = 298 km s-1) and HR 7894 (B5 IV, vsinivsini = 330 km s-1), respectively, with an interactive procedure in the IRAF package.
Examples of the Ca ii IRT, Hα, Na i D1, D2 doublet, He i D3, and Hβ line profiles of RS CVn are displayed in Figure 1.

Refer to caption
Figure 1: Example of the observed, synthesized, and subtracted spectra for the annotated spectral line regions, shown for one spectrum obtained at at Xinglong (2017 Nov 30). In each panel, the lower solid-line indicates the observed spectrum, the dotted red line represents the synthesized spectrum constructed from spectra of two template stars, and the upper graph shows the resulting subtraction spectrum, shifted for better visibility. "P" and "S" mark the positions of the chromospheric activity lines for the primary and secondary components of RS CVn, respectively.

3 Analysis of chromospheric activity indicators

We simultaneously analyze different chromospheric activity indicators, namely Ca ii IRT, Hα, Na i D1, D2 doublet, He i D3, and Hβ lines, formed in a wide range of atmospheric heights. To separate the contribution from the photosphere absorption profile in these lines, we apply a spectral subtraction technique, making use of the STARMOD program (Barden, 1985; Montes et al., 1997, 2000). STARMOD synthesizes a spectrum, later subtracted, by rotationally broadening, RV-shifting, and adaptively weighting spectra of two suitable template stars. These template stars are chosen as inactive, but having the same spectral-type and luminosity class as the components of the system. Thus, the synthesized spectrum approximates the non-active state of the binary, and the subtraction between the observed and synthesized spectra produces the activity contribution as excess emission and/or absorption, relative to the presumed inactive state.
For the observations of Jan. 2016 and Nov–Dec. 2017, taken at Xinglong, we use spectra of HR 8088 (K2 IV) and HR 3262 (F6 V) as templates for the primary and secondary star, respectively. The vsinivsini of each binary component is determined by STARMOD using these template spectra, resulting in an average vsinivsini of 45 km s-1 for the primary star and 14 km s-1 for the secondary one, based on a high signal-to-noise ratio (SNR) spectral window spanning many photospheric absorption lines, observed at phases where the two components of the system are well separated. The obtained vsinivsini values are in good agreement with the results of 42 ±\pm 3 km s-1 & 11 ±\pm 2 km s-1 estimated by Strassmeier & Fekel (1990), and 44.9 ±\pm 1 km s-1 & 12.4 ±\pm 0.5 km s-1 by Xiang et al. (2020). The adopted intensity ratios (primary/secondary) used by STARMOD are 0.57/0.43 for the Ca ii λ\lambda8662 spectral region, 0.56/0.44 for the Ca ii λ\lambda8542 spectral region, 0.55/0.45 for the Ca ii λ\lambda8498 spectral region, 0.5/0.5 for the Hα spectral region, 0.47/0.53 for the Na i D1 and D2 doublet, He i D3 spectral region, finally 0.43/0.57 for the Hβ spectral region.
The same template stars, HR 8088 and HR 3262, are also used for the observations of Apr. 2017, obtained at Weihai, as well as the observations of Mar. 1998, Feb. 2000, and Feb. 2004 obtained at Xinglong. We use the same vsinivsini values and intensity weight ratios as given above, with the exception of the Hβ line region for the Weihai observations, because of very low SNR, and the Xinglong observations, where the line is not covered. Also, during the 1998 observing run, the Ca ii λ\lambda8498 line was not covered by the spectra due to an echelle setup change.
Because the template stars used above were not observed by the TIGRE telescope, we use spectra of two other inactive stars HR 5227 (K2 IV) and HR 8697 (F6 V) as templates instead. The vsinivsini values of 45 & 14 km s-1 are used, and the resulting and adopted intensity weight ratios are 0.59/0.41 for the Ca ii IRT spectral region, 0.51/0.49 for the Hα spectral region, and 0.44/0.56 for the Hβ spectral region. Also for some of the TIGRE observations, Hβ could not be analyzed because of too low SNRs.
During eclipses of RS CVn’s components, the intensity weights of the two components change with orbital phase, and the line profiles are distorted – a situation that STARMOD can not model. Since some of our observations were obtained during eclipse, the resulting spectra have been excluded from our analysis, they are not listed in Table 1. This applies with the exception of spectra observed during total primary eclipse, i.e. when the secondary is completely occulted by the primary, such as observations on 2017 Dec 11. In these cases, we do use the template spectrum of the K2 IV alone to perform our analysis.
As a typical example, we show the chromospherically sensitive lines of one spectrum and illustrate the above described processing in Fig. 1. As expected, RS CVn shows pronounced chromospheric emission in all analyzed lines, mainly associated with the primary star. Moreover, for several observations of 2017 November–December and some observations of other observing runs, there are obvious excess emission features associated with the secondary star of RS CVn in the subtracted spectra (especially in the Hα line), which indicates that the secondary star is also active in the system, although much weaker.
The equivalent widths (EWs) of the subtracted Ca ii IRT, Hα, and Hβ line profiles are measured with the SPLOT task in the IRAF package, as described in our previous papers (Cao & Gu, 2015, 2017), they are summarized in Table 5 together with their estimated uncertainties, where we also provide the ratios of the EW(λ\lambda8542)/EW(λ\lambda8498) and the E/E for some of our observations. The E/E ratios are calculated from the EW(Hα)/EW(Hβ) values with the correction:

EHαEHβ=EW(Hα)EW(Hβ)0.24442.512(BR)\frac{E_{H{\alpha}}}{E_{H{\beta}}}=\frac{EW(H_{\alpha})}{EW(H_{\beta})}*0.2444*2.512^{(B-R)} (1)

given by Hall & Ramsey (1992), which takes into account the absolute flux density in Hα and Hβ lines, and the color index; we use BRB-R = 0.81 for the calculation here.
The EW8542/EW8498 ratios thus obtained lie in the range of 1.0–2.5, consistent with the ratios found in solar plages (\sim1.5–3; Chester 1991) as well as several other chromospherically activity stars (e.g. Montes et al., 2000; Gu et al., 2002; Cao & Gu, 2015; Cao et al., 2020), thereby suggesting that the Ca ii IRT line emission arises predominantly from plage-like regions.

Refer to caption
Refer to caption
Figure 2: Excess absorption features in Hα (left panel) and Hβ (right panel), observed at phases 0.927 and 0.932 on 2017 December 1. The left side of each panel shows the observed (solid) and synthesized (dotted) spectra, while the right side contains the subtracted spectra. The geometry of the system at each phase is also shown. Arrows indicate excess absorption features in the subtracted spectra.
Refer to caption
Refer to caption
Figure 3: Same as Fig. 2, for excess absorption features in the Hα line profiles observed on 2017 April 16 (top) and 21 (bottom).

4 Results and discussion

4.1 Prominence-like absorption features

4.1.1 Excess absorption features

At phases near primary eclipse, some of our RS CVn spectra show excess absorption features, visible in the STARMOD-subtracted spectral profiles, most strongly in the Balmer lines.
As shown in Fig. 2, for the observations on 2017 December 01 at phases 0.927 and 0.932, shortly before the primary star began to eclipse the secondary one, an excess absorption feature appeared in the red wing of the subtracted Hα and Hβ line profiles. Simultaneously, an absorption feature appeared in the He i D3 line region, in both the observed and subtracted spectra. We had previously observed similar absorption features in the same lines of the RS CVn-type star SZ Psc (Cao et al., 2019, 2020).
From Fig. 3, moreover, it can be seen that there were excess absorption features presented in the blue wing of the subtracted Hα line profile at several phases on 2017 April 16, and again on 2017 April 21. These absorption features again occurred at orbital phases just after primary eclipse, when the projected separation between two components gradually becomes larger, repeating after one orbital cycle. In the subtracted spectra, furthermore, we note that the intensity of excess absorption gradually decayed until the features disappeared (indicated by the arrows in Fig. 3). Different from what we found on 2017 December 01, however, there were no significant excess absorption features in the blue wings of Hβ line, probably because of much lower SNRs.
We attribute these excess absorption features to prominence-like material associated with the primary star, thereby absorbing radiation from the secondary star near the primary eclipse. This occurs during these phases because the materials lie near the secondary star in velocity space, which, in turn, is located behind the primary star along the line of our sight. Stellar prominences have been detected as transient absorption features passing through the rotationally broadened Hα line profiles on a number of rapidly rotating single stars such as AB Dor (Collier Cameron & Robinson, 1989), Speedy Mic (Jeffries, 1993; Dunstone et al., 2006a; Wolter et al., 2008), HK Aqr (Byrne, Eibe, & Rolleston, 1996), RE 1816+514 (Eibe, 1998), PZ Tel (Barnes et al., 2000), and RX J1508.6–4423 (Donati et al., 2000). Transient absorption features are thought to originate from cool clouds of mostly neutral material, magnetically supported above the stellar photosphere and forced to corotate with the star in a manner reminiscent of solar prominences, which then scatter the underlying chromospheric emission out of the line of sight as they transit the stellar disk (Collier Cameron & Robinson, 1989). Actually, Balmer excess absorptions, interpreted in terms of prominence-like features, have even been detected in several RS CVn-type stars, mainly double-lined eclipsing binary systems (Hall et al., 1990; Hall & Ramsey, 1992; Frasca et al., 2000; Cao et al., 2019, 2020). Furthermore, we detected such features several times in the RS CVn-type binary star SZ Psc (Cao et al., 2019, 2020), including cases apparently caused by flare-related prominence activation and post-flare loops (Cao et al., 2019).
The EHα/EHβE_{H{\alpha}}/E_{H{\beta}} values have repeatedly been used as diagnostics for discriminating between prominence-like and plage-like structures. Huenemoerder & Ramsey (1987) found that low ratios in RS CVn-type stars are caused by plage-like regions, while prominence-like structures have high values. Buzasi (1989) also developed a NLTE radiative transfer model and concluded that the low ratios (\sim 1–2) could be achieved both in plages and prominences viewed against the disk, but high values (\sim 3–15) could only be achieved in prominence-like structures viewed off the stellar limb. For RS CVn, the ratios we have obtained are in the range of 1–3 for most of our observations (see Table 5), which suggests that there are plage-like regions in the chromosphere, in agreement with the results of the EW8542/EW8498. There are much higher EHα/EHβE_{H{\alpha}}/E_{H{\beta}} values for the observations at phase 0.927 and 0.932 during 2017 Nov–Dec, which exhibit excess absorption features in the subtractions, this should be because of prominence-like structure.
On the other hand, for the excess absorptions present in the subtracted Hα lines near primary eclipse in 2017 April, the EHα/EHβE_{H{\alpha}}/E_{H{\beta}} ratios are not high. Furthermore, the excess Hα absorptions are not strong here and no obvious excess absorptions appear in Hβ, though potentially hidden by low SNRs. This implies that the prominence activity was much weaker during those observations.

4.1.2 Prominence heights

Since the geometry of RS CVn is well established, we can try to infer approximate limits on the physical extent of prominences, using the parameters listed in Table 1. For the excess absorption features observed on 2017 April 16 and 21, both of them appeared and disappeared around a similar phase (see Fig. 3). Large stellar prominences may have lifetimes spanning several stellar rotations (Donati et al., 1999), therefore, both can be expected to be caused by the same prominence. At phase 0.102 on 2017 April 16, the projected separation between the limbs of the two stellar components is about 4.32 RR_{\sun}, which suggests that the prominence extends at least up to this value from the surface of the primary star. Furthermore, the separation between the limbs of the two components is about 0.74 RR_{\sun} at phase 0.063, and therefore the separation between the leading limb of the primary star and the far limb of the secondary star is 0.74 RR_{\sun} + 2 * RsecR_{sec} = 4.52 RR_{\sun}, which can also be regarded as the upper limit on the prominence’s height from the surface of the primary, which would still allow it to be projected on the stellar disk of the secondary. Hence, we conclude that this prominence probably extends from the surface of the primary star in the range between 4.32 RR_{\sun} (\simeq 1.12 RpriR_{pri}) and 4.52 RR_{\sun} (\simeq 1.17 RpriR_{pri}).
Following the same line of reasoning, for the excess absorption detected on 2017 December 1, the separation between the limbs of the two system components at phase 0.927 is about 1.74 RR_{\sun} in the plane of the sky, which again means that the prominence extends at least up to this height above the surface of the primary. At phase 0.932, the separation between the limbs of the two components is about 1.28 RR_{\sun} and the separation between the leading limb of the primary and the far limb of the secondary is 1.28 RR_{\sun} + 2 * RsecR_{sec} = 5.06 RR_{\sun}. To summarize, this prominence structure probably extends from the surface of the primary star somewhere between 1.74 RR_{\sun} (\simeq 0.45 RpriR_{pri}) and 5.06 RR_{\sun} (\simeq 1.31 RpriR_{pri}).
In single stars, stellar prominences reach heights of several stellar radii, they usually lie near or beyond the corotation radius. For example, the distances of many prominences from the stellar rotation axis are mainly between 3 and 5 stellar radii for the star AB Dor with the corotation radius at 2.7 stellar radii (Collier Cameron & Robinson, 1989). For the primary star of RS CVn, however, its Keplerian corotation radius (Rk=GM/Ω23R_{k}~{}=~{}\sqrt[3]{GM/{\Omega}^{2}}) is calculated to be about 3.3 RpriR_{pri} (2.3 RpriR_{pri} from the surface). Therefore, according to our estimate, prominence-like structures of RS CVn appear to be formed within the corotation radius of the primary star, indicating a different behavior, compared to stellar prominences in single stars.

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Figure 4: Hα (top) and He i D3 (bottom) line profiles at the annotated phases, observed on 2016 January 26. In the top panel the subtracted spectra are shifted for better visibility. Corresponding EW variations of the subtracted Hα profiles are shown in the inset. In the bottom panel, the observed He i D3 line profiles are arranged and shifted in order of increasing phase. Arrows indicate notable He i D3 line emission features.

4.1.3 Prominence column density and mass

The prominence detected on 2017 December 01 can be seen both in the Hα and Hβ lines, it is much stronger than its 2017 April counterpart. Here we characterize the physical properties of this stronger prominence.
Assuming a prominence temperature of roughly 10,000 K, hence a thermal Doppler velocity of hydrogen of 12.0 km/s, furthermore assuming a random turbulent velocity of about 5 km/s, Dunstone et al. (2006b) used the curve of growth method to obtain the column densities of Hα in the n = 2 level and of singly ionized Ca ii atoms in the ground state. They then used the hydrogen-to-calcium ratio in solar prominences to obtain the column density of hydrogen atoms in the ground state. In this way they derived column densities of prominences on Speedy Mic in the n = 2 level of hydrogen with a mean value of logN2logN_{2} = 18.61 ±\pm 0.05 m-2 and in the ground state with a mean value of logN1logN_{1} = 23.38 ±\pm 0.11 m-2.
Since no Ca ii H&K measurements available, we adopt a different strategy, following Leitzinger et al. (2016). These authors used the determined ratio of EW(Hβ)/EW(Hα) (\sim 0.37) in prominence absorptions to estimate the logarithmic hydrogen column density for the state N2N_{2} from the curve of growth given in Dunstone et al. (2006b) and tentatively applied the N1N_{1}-to-N2N_{2} ratio of Speedy Mic to their target to derive the column density of hydrogen atoms in the ground state. They derived logN2logN_{2} and logN1logN_{1} values of about 18.0 m-2 and 23.7 m-2 on the fast rotating dMe star HK Aqr, respectively.
To measure EWs of prominence absorptions in our Hα and Hβ profiles, we fit the subtracted spectra with multi-Gaussian profiles and then identify the Gaussian absorption component as the prominence and the Gaussian emission component as the chromospheric activity. In this way we obtained a ratio EW(Hβ)/EW(Hα) of about 0.33 and derive a logN2logN_{2} of about 17.6 m-2 from the curve of growth of Dunstone et al. (2006b). We then derived a logN1logN_{1} of about 22.4 m-2 through adopting the N1N_{1} to N2N_{2} ratio of Speedy Mic. These values are slightly smaller than those found by Dunstone et al. (2006b) and Leitzinger et al. (2016) for their target stars.
Now, having obtained the column density in the ground state of hydrogen, we can calculate the mass of prominence by using M=mHN1AM~{}=~{}m_{H}N_{1}A, where mHm_{H} is the mass of a hydrogen atom and AA is the projected area of the prominence. Again, we follow the method in Dunstone et al. (2006b) and Leitzinger et al. (2016) to estimate the projected prominence area. If the prominence is optically thick, when transiting the center of the stellar disk, the flux fraction of the prominence absorption can be used to calculate the fraction of the star obscured by the prominence (see the equation (3) given in Leitzinger et al. 2016). For our situation, by comparing the EW(Hβ)/EW(Hα) ratio to the theoretical curve of growth of Dunstone et al. (2006b), it can be seen that the ratio is close to the saturated part of the theoretical curve and therefore the assumption of the optically thick case seems justified. Different from Speed Mic and HK Aqr, RS CVn is a binary and therefore the visible background area is the sum of two components of the system. We have calculated a mass of 2.7×10152.7~{}\times~{}10^{15} kg for hydrogen of this prominence, which is slightly larger than the values of prominences in single active stars, which are in the range of 2–6×1014~{}\times~{}10^{14} kg for AB Dor (Collier Cameron et al., 1990), 0.5–2.3×1014~{}\times~{}10^{14} kg for Speedy Mic (Dunstone et al., 2006b), and 5.7×10135.7~{}\times~{}10^{13} kg for HK Aqr (Leitzinger et al., 2016). Our result may be reasonable, because close binary stars are usually more active than single stars and the stronger prominence absorption found in RS CVn implies prominence material with more mass.

4.2 Flare event

Similar to the solar case, stellar flares are powerful and explosive phenomena in the outer atmosphere, commonly believed to be caused by the energy released in magnetic reconnections (Schrijver & Zwaan, 2000). Flares can be observed across the entire electromagnetic spectrum from shorter X-ray to longer radio wavelengths. Due to its very high excitation potential, the He i D3 line is an important indicator to trace flare activity in solar and stellar chromospheres. He i D3 shows obvious emission features above the continuum level during an optical flare, as widely observed on the Sun (Zirin, 1988) and in several RS CVn-type stars like II Peg (Huenemoerder & Ramsey, 1987; Montes et al., 1997; Berdyugina, Ilyin, & Tuominen, 1999; Frasca et al., 2008), V711 Tau (García-Alvarez et al., 2003; Cao & Gu, 2015), UX Ari (Montes et al., 1996b; Gu et al., 2002; Cao & Gu, 2017), DM UMa (Zhang et al., 2016) and SZ Psc (Cao et al., 2019, 2020).
Some consecutive Hα and He i D3 line profiles observed on 2016 January 26 are shown in Fig. 4. It can be seen that the Hα line profile shows a significant increase by a factor of about 1.3 from phase 0.225 to 0.236, and simultaneously the He i D3 line changes to emission during this phase interval. Simultaneously, other chromospheric lines also show a strengthened emission. Taking into consideration these combined facts, a flare event was detected during this night.
According to the measured EWs of the excess Hα emission, the observation at phase 0.236 may well correspond to the flare maximum (as also seen in Fig. 4). We compute the stellar continuum flux FHαF_{H_{\alpha}} (in erg cm-2 s-1 Å-1) near Hα as a function of the color index BVB-V (\sim 0.621 for RS CVn; Messina 2008) based on the empirical relationship

logFHα=[7.5381.081(BV)]±0.33\displaystyle\log{F_{H_{\alpha}}}=[7.538-1.081(B-V)]\pm{0.33}
0.0BV1.4\displaystyle 0.0~{}\leq~{}B-V~{}\leq~{}1.4 (2)

of Hall (1996), and then convert the EW into an absolute surface flux FSF_{S} (in erg cm-2 s-1). Therefore, the flare emits 1.66×10311.66\times 10^{31} erg s-1 at flare maximum in Hα, which is derived by converting the absolute surface flux into luminosity. During above calculation, we have corrected the EW to the total continuum before conversion to absolute flux at the stellar surface, and we assume that the flare occurred on the primary, since the intensity enhancement was associated with this star (see Fig. 4). The energy released in the Hα line is of similar order of magnitude as strong flares on other highly active RS CVn-type stars, such as V711 Tau (Cao & Gu, 2015), UX Ari (Montes et al., 1996b; Gu et al., 2002; Cao & Gu, 2017), HK Lac (Catalano & Frasca, 1994), and SZ Psc (Cao et al., 2019, 2020).
We note that, as visible in Fig. 4, during the increasing phase of the flare, the excess Hα emission profile shows a red asymmetry, i.e. the increase on the red side of the profile is stronger than on the blue, most pronounced from phase 0.225 to 0.236. This feature had also been observed during flares in the active stars PW And (López-santiago et al., 2003) and LQ Hya (Montes et al., 1999). To our knowledge, the red asymmetry is frequently seen in chromospheric activity lines during solar flares, and usually believed to result from chromospheric downward condensations (Canfield et al., 1990).

Refer to caption
Refer to caption
Refer to caption
Figure 5: EWs of the subtracted Ca ii IRT, Hα, and Hβ line profiles versus orbital phase, the corresponding observing runs are marked in each panel.

4.3 EW variations and active longitudes

The observing runs of Jan. 2016 at Xinglong, Apr. 2017 by the TIGRE and Weihai telescopes, as well as Nov–Dec. 2017 again at Xinglong had a denser orbital phase coverage than our earlier observations. We group those observations together to analyze a possible rotational modulation of activity, and therefore jointly analyze the EWs of Hα, Hβ, and Ca ii IRT line subtractions as a function of orbital phase.
As shown in Fig. 5, the EW variations of the different chromospheric activity indicators are closely correlated. In 2016 January, the most striking feature is the pronounced enhancement in chromospheric emission around the first quadrature of the system, because there is a strong optical flare as discussed in Section 4.2, which possibly indicates that an active longitude exists here. For the 2017 April observing run, there are two active longitudes appearing near the two quadratures of the system where the first active longitude is stronger than the second one. For the 2017 November–December observations, the overall feature of the chromospheric variation is flat during the first half of the orbital phase, but a relatively strong active longitude appears near the second quadrature.
Therefore, the chromospherically active longitudes of RS CVn most frequently appear near the two quadratures of the system and show changes between observing runs. Similar findings were also made in other chromospheric activity stars (e.g. Zhang & Gu, 2008; Cao et al., 2020). Based on the same datasets, moreover, Xiang et al. (2020) reconstructed surface spot maps of the primary star using Doppler imaging. The surface maps of 2016 January and 2017 April show that there are strong spot groups around phase 0.25, which are spatially associated with the chromospheric activity longitudes identified here.

5 Summary and conclusions

Based on the above analysis, our main results are:

  1. 1.

    RS CVn shows excess emission features in the Ca ii IRT, Hα, and Hβ lines, and the chromospheric emission stems mainly from the K2 IV primary of the system, which agrees to previous results reported by other authors. In addition, the F5 V secdonary shows weak chromospheric emission in some of our observations, implying an active, albeit much less active, chromosphere on this star, too.

  2. 2.

    There are some unusual excess absorption features in the subtracted spectra taken near primary eclipse, which appear to be caused by two prominences located on the primary star. These tentative prominences absorb radiation from the secondary star at phases near primary eclipse. We have investigated the physical properties of the prominence structure based on the absorption features and the geometry of RS CVn. Two prominences are estimated to have heights of 1.12 RpriR_{pri} – 1.17 RpriR_{pri} and 0.45 RpriR_{pri} – 1.31 RpriR_{pri} above the surface of the primary star, respectively. Moreover, we characterize the stronger to get a mass of 2.7×10152.7~{}\times~{}10^{15} kg for hydrogen.

  3. 3.

    An optical flare was detected on 2016 January 26, most strongly indicated by the He i D3 line emission feature. The energy released in the Hα line during flare maximum, 1.66×10311.66\times 10^{31} erg s-1, has a similar order of magnitude as strong flares of other very active RS CVn-type stars.

  4. 4.

    RS CVn shows rotational modulation of chromospheric activity, which means the presence of the chromospheric activity longitudes over the surface of the primary star. The active longitudes most frequently appear around the two quadratures of the binary system.

Acknowledgements

We would like to thank the staff of the telescopes for their help and support during our all observations. We are grateful to the referee Prof. Jeffery Linsky for his valuable suggestions which result in a large improvement to our manuscript. This study make use of the data obtained with the TIGRE telescope, which located at La Luz observatory, Mexico. TIGRE is a collaboration of the Hamburger Sternwarte, the Universities of Hamburg, Guanajuato and Liège. This work is partially supported by the Open Project Program of the Key Laboratory of Optical Astronomy, National Astronomical Observatories, Chinese Academy of Sciences. The joint research project between Yunnan Observatories and Hamburg Observatory is funded by Sino-German Center for Research Promotion (GZ1419). The present study is also financially supported by the National Natural Science Foundation of China (NSFC) under grants Nos. 10373023, 10773027, 11333006, U1531121, and 11903074, and supported by the Natural Science Foundation of Yunnan Province of China (Grants Nos. 202201AT070186 and 202305AS350009). We acknowledge the science research grant from the China Manned Space Project with NO. CMS-CSST-2021-B07.

Data Availability

The data underlying this article are available from the authors upon request.

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Appendix A EW measurements for the subtraction of chromospheric activity indicators

Table 4: EW measurements for the subtraction profiles of the Ca ii λ8662\lambda 8662, Ca ii λ8542\lambda 8542, λ8498\lambda 8498, Hα, and Hβ lines, and the ratios of EW(λ\lambda8542)/EW(λ\lambda8498) and E/E.
Phase EW(Å) EW(λ8542)EW(λ8498)\frac{EW(\lambda 8542)}{EW(\lambda 8498)} EHαEHβ\frac{E_{H{\alpha}}}{E_{H{\beta}}}
Ca ii λ8662\lambda 8662 Ca ii λ8542\lambda 8542 Ca ii λ8498\lambda 8498 Hα Hβ
1998 Mar, Xinglong 2.16 m
0.776 0.697±\pm0.045 0.810±\pm0.015 0.692±\pm0.019
0.785 0.664±\pm0.017 0.787±\pm0.013 0.709±\pm0.011
2000 Feb, Xinglong 2.16 m
0.346 0.539±\pm0.015 0.736±\pm0.015 0.476±\pm0.012 0.842±\pm0.015 1.55
0.350 0.560±\pm0.012 0.788±\pm0.019 0.509±\pm0.005 0.867±\pm0.013 1.55
2004 Feb, Xinglong 2.16 m
0.341 0.567±\pm0.018 0.782±\pm0.016 0.428±\pm0.009 0.648±\pm0.012 1.83
0.734 0.518±\pm0.006 0.833±\pm0.017 0.559±\pm0.018 0.478±\pm0.015 1.49
0.752 0.492±\pm0.016 0.758±\pm0.011 0.500±\pm0.009 0.563±\pm0.013 1.52
0.160 0.516±\pm0.011 0.767±\pm0.021 0.510±\pm0.008 0.932±\pm0.019 1.50
0.380 0.608±\pm0.012 0.856±\pm0.015 0.483±\pm0.008 0.685±\pm0.011 1.77
0.576 0.557±\pm0.012 0.689±\pm0.020 0.516±\pm0.011 0.452±\pm0.021 1.34
2016 Jan, Xinglong 2.16 m
0.385 0.597±\pm0.018 0.847±\pm0.014 0.541±\pm0.009 0.710±\pm0.018 1.57
0.598 0.669±\pm0.013 0.751±\pm0.012 0.475±\pm0.008 0.915±\pm0.010 1.58
0.608 0.682±\pm0.008 0.739±\pm0.024 0.483±\pm0.013 0.822±\pm0.011 1.53
0.787 0.631±\pm0.017 0.720±\pm0.017 0.440±\pm0.013 0.810±\pm0.011 1.64
0.798 0.609±\pm0.013 0.750±\pm0.016 0.455±\pm0.012 0.864±\pm0.014 1.65
0.816 0.610±\pm0.011 0.794±\pm0.018 0.438±\pm0.011 0.896±\pm0.006 1.81
0.821 0.644±\pm0.020 0.768±\pm0.013 0.446±\pm0.006 0.896±\pm0.010 1.72
0.214 0.602±\pm0.014 0.757±\pm0.010 0.449±\pm0.014 0.923±\pm0.014 0.208±\pm0.032 1.69 2.29
0.225 0.610±\pm0.009 0.759±\pm0.014 0.466±\pm0.015 0.983±\pm0.009 0.211±\pm0.033 1.63 2.40
0.236 0.644±\pm0.012 0.849±\pm0.019 0.493±\pm0.009 1.249±\pm0.012 0.313±\pm0.004 1.72 2.06
0.241 0.665±\pm0.010 0.890±\pm0.011 0.517±\pm0.008 1.226±\pm0.010 0.290±\pm0.008 1.72 2.18
0.629 0.564±\pm0.013 0.749±\pm0.021 0.465±\pm0.009 0.726±\pm0.009 0.142±\pm0.010 1.61 2.63
0.634 0.566±\pm0.009 0.744±\pm0.011 0.448±\pm0.010 0.718±\pm0.008 0.169±\pm0.012 1.66 2.19
0.838 0.599±\pm0.019 0.778±\pm0.016 0.502±\pm0.012 0.955±\pm0.009 0.237±\pm0.005 1.55 2.08
0.843 0.618±\pm0.017 0.741±\pm0.015 0.456±\pm0.009 0.897±\pm0.015 0.249±\pm0.015 1.63 1.58
0.056 0.540±\pm0.012 0.661±\pm0.012 0.486±\pm0.014 0.600±\pm0.014 0.162±\pm0.044 1.36 1.91
0.061 0.521±\pm0.006 0.684±\pm0.011 0.509±\pm0.010 0.645±\pm0.006 0.192±\pm0.006 1.34 1.73
0.066 0.574±\pm0.013 0.730±\pm0.013 0.522±\pm0.006 0.743±\pm0.011 0.228±\pm0.012 1.40 1.68
0.071 0.562±\pm0.012 0.715±\pm0.019 0.520±\pm0.014 0.854±\pm0.012 0.200±\pm0.010 1.38 2.20
0.251 0.766±\pm0.012 0.944±\pm0.014 0.628±\pm0.011 1.464±\pm0.013 0.396±\pm0.006 1.50 1.91
0.256 0.761±\pm0.007 0.966±\pm0.013 0.621±\pm0.011 1.452±\pm0.013 0.407±\pm0.012 1.56 1.84
0.271 0.730±\pm0.010 0.914±\pm0.015 0.614±\pm0.010 1.350±\pm0.008 0.405±\pm0.007 1.49 1.72
0.276 0.723±\pm0.012 0.916±\pm0.011 0.590±\pm0.018 1.338±\pm0.009 0.405±\pm0.013 1.55 1.70
2017 Apr, Weihai 1 m
0.344 0.670±\pm0.023 0.693±\pm0.021 0.427±\pm0.016 0.819±\pm0.011 1.62
0.546 0.686±\pm0.026 0.738±\pm0.015 0.504±\pm0.012 0.629±\pm0.015 1.46
0.555 0.692±\pm0.024 0.740±\pm0.024 0.518±\pm0.014 0.654±\pm0.007 1.43
0.564 0.720±\pm0.023 0.751±\pm0.025 0.523±\pm0.015 0.697±\pm0.015 1.44
0.584 0.713±\pm0.025 0.736±\pm0.015 0.525±\pm0.021 0.685±\pm0.015 1.40
0.593 0.721±\pm0.021 0.747±\pm0.020 0.558±\pm0.019 0.709±\pm0.026 1.34
0.601 0.658±\pm0.022 0.674±\pm0.021 0.520±\pm0.026 0.692±\pm0.012 1.30
2017 Apr, TIGRE 1.2 m
0.625 0.780±\pm0.021 0.864±\pm0.019 0.575±\pm0.024 0.614±\pm0.024 0.128±\pm0.015 1.50 2.47
0.635 0.766±\pm0.020 0.885±\pm0.020 0.535±\pm0.030 0.620±\pm0.030 0.120±\pm0.017 1.65 2.66
0.644 0.694±\pm0.019 0.791±\pm0.023 0.579±\pm0.029 0.634±\pm0.029 1.37
0.652 0.699±\pm0.021 0.818±\pm0.021 0.560±\pm0.026 0.651±\pm0.026 0.111±\pm0.013 1.46 3.02
0.661 0.689±\pm0.020 0.879±\pm0.025 0.572±\pm0.036 0.734±\pm0.036 0.130±\pm0.011 1.54 2.91
0.670 0.760±\pm0.016 0.830±\pm0.022 0.529±\pm0.030 0.656±\pm0.030 0.122±\pm0.017 1.57 2.77
0.687 0.749±\pm0.017 0.831±\pm0.023 0.560±\pm0.021 0.681±\pm0.021 1.48
0.832 0.784±\pm0.021 0.837±\pm0.020 0.587±\pm0.014 0.730±\pm0.014 0.136±\pm0.015 1.43 2.77
0.063 0.784±\pm0.023 0.865±\pm0.018 0.620±\pm0.020 0.600±\pm0.012 0.172±\pm0.013 1.40 1.80
0.072 0.727±\pm0.019 0.840±\pm0.019 0.638±\pm0.020 0.680±\pm0.008 0.172±\pm0.010 1.32 2.04
0.081 0.755±\pm0.023 0.941±\pm0.017 0.663±\pm0.019 0.816±\pm0.020 0.203±\pm0.009 1.42 2.07
Table 5: continued
Phase EW(Å) EW(λ8542)EW(λ8498)\frac{EW(\lambda 8542)}{EW(\lambda 8498)} EHαEHβ\frac{E_{H{\alpha}}}{E_{H{\beta}}}
Ca ii λ8662\lambda 8662 Ca ii λ8542\lambda 8542 Ca ii λ8498\lambda 8498 Hα Hβ
0.091 0.857±\pm0.024 0.960±\pm0.019 0.684±\pm0.018 0.800±\pm0.012 0.194±\pm0.011 1.40 2.13
0.102 0.895±\pm0.019 1.019±\pm0.023 0.704±\pm0.023 0.857±\pm0.013 0.243±\pm0.013 1.45 1.82
0.243 0.868±\pm0.016 0.978±\pm0.018 0.624±\pm0.012 1.042±\pm0.012 0.254±\pm0.012 1.57 2.11
0.256 0.886±\pm0.018 0.962±\pm0.021 0.617±\pm0.017 1.008±\pm0.017 0.235±\pm0.011 1.56 2.21
0.270 0.842±\pm0.021 0.930±\pm0.017 0.674±\pm0.022 0.951±\pm0.022 0.223±\pm0.012 1.38 2.20
0.299 0.819±\pm0.015 0.917±\pm0.023 0.628±\pm0.018 0.818±\pm0.018 0.170±\pm0.015 1.46 2.48
0.452 0.689±\pm0.020 0.840±\pm0.022 0.590±\pm0.020 0.556±\pm0.011 0.122±\pm0.011 1.42 2.35
0.693 0.751±\pm0.018 0.840±\pm0.021 0.569±\pm0.021 0.755±\pm0.021 0.157±\pm0.013 1.48 2.48
0.701 0.775±\pm0.013 0.851±\pm0.016 0.591±\pm0.021 0.766±\pm0.041 1.44
0.714 0.732±\pm0.022 0.860±\pm0.019 0.582±\pm0.025 0.751±\pm0.035 0.142±\pm0.012 1.48 2.73
0.722 0.763±\pm0.019 0.858±\pm0.014 0.581±\pm0.016 0.765±\pm0.036 0.138±\pm0.017 1.48 2.86
0.863 0.726±\pm0.017 0.891±\pm0.015 0.552±\pm0.013 0.645±\pm0.013 0.131±\pm0.013 1.61 2.54
0.872 0.747±\pm0.021 0.920±\pm0.017 0.574±\pm0.027 0.616±\pm0.027 0.114±\pm0.015 1.60 2.78
0.880 0.694±\pm0.018 0.834±\pm0.023 0.578±\pm0.016 0.591±\pm0.016 0.112±\pm0.011 1.44 2.72
0.888 0.695±\pm0.013 0.866±\pm0.021 0.577±\pm0.021 0.589±\pm0.021 0.123±\pm0.013 1.50 2.47
0.896 0.685±\pm0.019 0.858±\pm0.025 0.548±\pm0.013 0.596±\pm0.013 0.105±\pm0.010 1.57 2.93
0.904 0.680±\pm0.020 0.849±\pm0.016 0.563±\pm0.015 0.565±\pm0.015 0.128±\pm0.011 1.51 2.27
0.913 0.704±\pm0.024 0.839±\pm0.021 0.564±\pm0.021 0.570±\pm0.021 0.114±\pm0.013 1.49 2.58
0.924 0.711±\pm0.021 0.854±\pm0.022 0.586±\pm0.011 0.518±\pm0.011 0.115±\pm0.017 1.46 2.32
0.932 0.693±\pm0.021 0.800±\pm0.019 0.584±\pm0.020 0.515±\pm0.013 0.117±\pm0.013 1.37 2.27
0.076 0.710±\pm0.019 0.805±\pm0.018 0.580±\pm0.021 0.512±\pm0.010 0.152±\pm0.012 1.39 1.74
0.084 0.677±\pm0.018 0.819±\pm0.021 0.591±\pm0.018 0.529±\pm0.011 0.148±\pm0.011 1.39 1.84
0.092 0.708±\pm0.017 0.839±\pm0.020 0.578±\pm0.020 0.552±\pm0.009 0.162±\pm0.015 1.45 1.76
0.100 0.717±\pm0.022 0.847±\pm0.019 0.580±\pm0.019 0.570±\pm0.010 0.140±\pm0.010 1.46 2.10
0.108 0.668±\pm0.018 0.852±\pm0.017 0.579±\pm0.022 0.551±\pm0.021 0.172±\pm0.012 1.47 1.65
0.116 0.663±\pm0.020 0.873±\pm0.021 0.600±\pm0.021 0.542±\pm0.016 0.169±\pm0.011 1.46 1.65
0.126 0.697±\pm0.021 0.866±\pm0.020 0.613±\pm0.020 0.549±\pm0.016 0.168±\pm0.013 1.41 1.68
0.134 0.669±\pm0.019 0.949±\pm0.018 0.670±\pm0.019 0.549±\pm0.011 0.187±\pm0.016 1.42 1.51
0.142 0.745±\pm0.020 0.890±\pm0.019 0.581±\pm0.022 0.537±\pm0.010 0.159±\pm0.012 1.53 1.74
2017 Nov–Dec, Xinglong 2.16 m
0.298 0.659±\pm0.032 0.810±\pm0.032 0.422±\pm0.014 0.866±\pm0.007 0.168±\pm0.012 1.92 2.65
0.302 0.617±\pm0.016 0.845±\pm0.016 0.414±\pm0.018 0.888±\pm0.019 0.156±\pm0.015 2.04 2.93
0.307 0.678±\pm0.014 0.855±\pm0.014 0.429±\pm0.016 0.860±\pm0.017 0.156±\pm0.015 1.99 2.84
0.719 0.754±\pm0.061 0.931±\pm0.061 0.440±\pm0.015 1.299±\pm0.012 0.208±\pm0.011 2.12 3.22
0.724 0.712±\pm0.044 0.915±\pm0.044 0.456±\pm0.014 1.295±\pm0.012 0.261±\pm0.032 2.01 2.56
0.927 0.728±\pm0.020 1.040±\pm0.020 0.528±\pm0.015 0.434±\pm0.015 0.024±\pm0.008 1.97 9.32
0.932 0.708±\pm0.008 1.010±\pm0.008 0.498±\pm0.016 0.404±\pm0.010 0.015±\pm0.004 2.03 13.88
0.172 0.647±\pm0.021 0.864±\pm0.021 0.424±\pm0.013 0.937±\pm0.009 0.204±\pm0.011 2.04 2.37
0.177 0.625±\pm0.006 0.873±\pm0.006 0.423±\pm0.014 0.927±\pm0.012 0.156±\pm0.022 2.06 3.06
0.182 0.660±\pm0.012 0.869±\pm0.012 0.433±\pm0.014 0.873±\pm0.008 0.153±\pm0.018 2.01 2.94
0.378 0.683±\pm0.013 0.823±\pm0.013 0.428±\pm0.014 0.740±\pm0.020 0.124±\pm0.011 1.92 3.08
0.383 0.640±\pm0.002 0.829±\pm0.002 0.432±\pm0.012 0.777±\pm0.012 0.188±\pm0.010 1.92 2.13
0.388 0.640±\pm0.024 0.838±\pm0.024 0.445±\pm0.018 0.783±\pm0.013 0.190±\pm0.013 1.88 2.12
0.393 0.649±\pm0.007 0.873±\pm0.007 0.446±\pm0.013 0.836±\pm0.005 0.200±\pm0.025 1.96 2.15
0.590 0.704±\pm0.008 1.048±\pm0.008 0.490±\pm0.018 0.956±\pm0.008 0.211±\pm0.010 2.14 2.33
0.595 0.721±\pm0.008 1.073±\pm0.008 0.473±\pm0.014 0.970±\pm0.012 0.193±\pm0.008 2.27 2.59
0.600 0.732±\pm0.008 1.071±\pm0.008 0.505±\pm0.016 0.991±\pm0.009 0.196±\pm0.007 2.12 2.61
0.791 0.716±\pm0.030 0.896±\pm0.030 0.437±\pm0.012 1.073±\pm0.009 0.250±\pm0.023 2.05 2.21
0.796 0.806±\pm0.056 0.945±\pm0.056 0.459±\pm0.014 1.062±\pm0.011 0.261±\pm0.020 2.06 2.10
0.801 0.712±\pm0.021 0.915±\pm0.021 0.478±\pm0.013 1.107±\pm0.016 0.271±\pm0.047 1.91 2.10
0.806 0.754±\pm0.041 0.891±\pm0.041 0.430±\pm0.015 1.173±\pm0.012 0.260±\pm0.011 2.07 2.32
0.81 0.781±\pm0.048 0.899±\pm0.048 0.391±\pm0.017 1.231±\pm0.007 0.280±\pm0.013 2.30 2.27
0.007 1.085±\pm0.017 0.950±\pm0.008 0.482±\pm0.013 0.956±\pm0.018 0.287±\pm0.021 1.97 1.72
0.012 1.045±\pm0.011 0.908±\pm0.009 0.496±\pm0.012 0.940±\pm0.008 0.274±\pm0.013 1.83 1.77
0.017 1.003±\pm0.023 0.884±\pm0.011 0.498±\pm0.012 0.956±\pm0.021 0.302±\pm0.017 1.78 1.63