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Volume 559, November 2013
Article Number A108
Number of page(s) 26
Section Catalogs and data
Published online 22 November 2013

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Appendix A: Results for individual stars

Here we present detailed results and discussions for each star. Our analysis is split into five different groups, reviewing β Cephei and SPB stars in NGC 6231 separately, followed by a discussion of additional variables including possible members, non-members, and eclipsing binaries. However, a detailed analysis was only performed for the stars which are situated in NGC 6231. For the remaining objects we carried out a coarse study, giving only pulsation frequencies, for example.

The individual spectral windows of the light curves are very similar to each other since all data were extracted from one set and NGC 6231 was observed in all three filters during each night. The only distinction worth noting is created when large parts of the light curves in U had to be deleted because of corrupted data, but even then the general shape of the spectral window was maintained. An example is displayed in Fig. A.1 where the spectral window for the SBL303 data was folded with an artificial frequency at 10d-1. Main features are the daily alias (± 1d-1) created by the observing gaps during the days and monthly aliases (± 0.03d-1) created by the observations in May, June, and July, which are separated by about a month.

Appendix A.1: β Cephei stars

SBL113 is classified as a possible β Cephei pulsator by BE85 and according to RCB97 it is a member of NGC 6231. This target is listed as a B1.5V star by LM83 who also imply the possible presence of a dust shell around SBL113. The authors PHC91 find a spectral type of B0.5IV without peculiarities. Photometric studies of this star revealed an unusually low β index in the Strömgren photometry pointing towards Hβ emission. McSwain & Gies (2005) carried out a search for Be stars in southern open clusters and do not classify SBL113 as such a star. It is also known that the Be phenomenon can occur only temporally. In light of the uncertain nature of this object it was excluded from our calibration of the Strömgren photometry. So far variability studies have been carried out only by BE85 since SBL113 lies outside the FOV of the ASK01 observations; BE85 found variability in the range of 11 − 11.5d-1 with amplitudes barely exceeding 1mmag but were not able to determine individual frequencies. Moreover, they reported a slower superimposed variation pattern but could not find corresponding periodicities. Based on these results BE85 considered this star to be a probable β Cephei-type pulsator. Unfortunately, our frequency analysis did not result in a single significant peak either. However, both light curve and periodogram, as shown in Fig. A.2, clearly reveal variability with frequencies around 3d-1 where we find the largest amplitude at 3.44d-1. Furthermore, even variability on time scales with periods longer than 1d is indicated. However, no evidence was found that this object shows faster β Cephei-type pulsation as suggested by BE85 that could be explained by the small amplitudes of the indicated pulsation compared to our noise level which is considerably higher. As a consequence this star must remain a candidate.

thumbnail Fig. A.1

Spectral window of the observations. The bottom panel shows the overall structure of the window with daily aliases indicated by the red marker where the ± 1d-1 peaks reach about 80% of the strongest signal. The top panel displays a closer view revealing the monthly aliases (blue arrows) with a maximum signal at about 93% (dashed horizontal line). The region marked in blue denotes the size of the envelope of the monthly aliases which represents the length of a run in one month (which is about 5 days).

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thumbnail Fig. A.2

Light curve and frequency spectrum of the β Cephei candidate SBL113. No frequency was significant with our detection criterion of S/N ≥ 4 (dotted line in lower panel).

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thumbnail Fig. A.3

Frequency spectra of the β Cephei star SBL226 for the unadjusted data in V. Each of the panels in the top figures displays consecutive prewhitening steps at different states of the analysis. The last panel shows the residuals after subtracting five frequencies and the S/N = 4 threshold as a dotted line. The arrows in the individual panels mark each significant frequency throughout the analysis procedure. The bottom-left panels show exemplary light curves for all bands where purple represents data in U, blue in B, and green in V. The dashed lines represent the calculated multi-periodic fits. The graph in the bottom-right corner shows the mode identification where both the predicted and observed amplitude ratios are shown. We searched the grids for stars with masses ranging from 14 to 16M. The various colours of the dotted lines represent theoretical pulsation modes ranging from l = 0 to l = 4. Dark blue corresponds to l = 0, red to l = 1, light blue to l = 2, green to l = 3, and yellow to l = 4. The black squares and their errorbars show the observed values. The determined frequencies take the values f1 = 0.7017d-1, f2 = 14.9098d-1, f3 = 2.4242d-1, f4 = 2.6579d-1, and f5 = 17.2502d-1 with errors ranging from σf1 = 0.0003d-1 to σf5 = 0.0013d-1.

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SBL226 was reported to be a β Cephei pulsator by Ba83 with a period of 0.07d and according to RCB97 and BVF99 is a cluster member; PHC91 and GM01 list this star as a binary with equal B1V components; Raboud & Mermilliod (1998, RM98) find it to be a single star. Dedicated variability studies have been carried out by BS83 and ASK01. Both find three frequencies but of these only one matches exactly and another one can be explained as an alias. In contrast to BS83, who find a remarkably simple frequency spectrum, our analysis reveals a different picture. We found a total of five significant frequencies of which two are dominating the variability at f1 = 0.7017d-1 and f2 = 14.9098d-1. After analysing many light curves of different stars we found typical frequencies in our unadjusted data representing drifts of the zero-point; however, 0.7d-1 was not one of them. Therefore, f1 is interpreted as intrinsic variability. In addition, clear amplitude differences in all three passbands rule out possible rotation and binary effects. The second determined frequency, f2, matches with the results of ASK01 and BS83 perfectly. For the remaining detected oscillations we found significant aliasing and also differences between V and B data. For f3 an alias of 2f1 was considered, but since there is no signal at the exact position and the amplitude is much larger at the given value, f3 is considered an independent oscillation. We attempted mode identification for f1 and f2 since reliable amplitudes in U only could be derived for these frequencies. To this end we calculated amplitude ratios for models with a mass between 14 − 16M, as indicated by its position in the theoretical HR diagram relative to the evolutionary tracks. For f1 no match was found since the models showed too many simultaneously excited modes. However, considering the oscillation frequency (f1 = 0.7d-1) only a non-radial pulsation is possible since l = 0 modes exhibit faster variations. For f2 we also found too many excited modes for a decisive conclusion. In Fig. A.3 we show frequency spectra, sample light curves, and the mode identification for f2 as an example for the following discussions. Given this result we can only exclude an l = 4 mode for f2. In light of the results from the frequency analysis and the calibration of effective temperature and luminosity (including errors), SBL226 can also be considered a candidate for a β Cephei/SPB hybrid. The multiperiodic variability in both the low- and high-frequency domain in combination with the bandpass-dependent amplitudes are very strong evidence for this interpretation.

thumbnail Fig. A.4

Frequency spectra and selected light curves for the β Cephei star SBL268. The analysis was performed with daily adjusted data, suppressing low frequencies. The notations and markings are the same as in Fig. A.3 where applicable. The frequencies found are f1 = 8.3847d-1, f2 = 12.9891d-1, and f3 = 7.2748d-1. The errors range from σf1 = 0.0004d-1 to σf3 = 0.001d-1 for the frequencies.

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SBL268 was initially suspected to be a β Cephei variable by Ba83 which was later confirmed by BE85; LM83 list this star as a double-lined spectroscopic binary consisting of two equal B2V components and RM98 classify it as a single object. Both BVF99 and RCB97 arrive at the conclusion that SBL268 is a member of NGC 6231. Variability studies have been carried out by BE85 and ASK01. The data from BE85 yielded evidence for three significant frequencies and they also report the possible presence of long-period variability. The authors ASK01 found just one match with the older investigation at 8.4d-1 and an additional frequency at 2.6d-1. Our analysis is based on daily adjusted data since the light curves were characterised by large zero-point offsets. The results are displayed in Fig. A.4. We were able to detect three frequencies above the S/N threshold, two of them (f1 = 8.3847d-1 and f2 = 12.9891d-1) are an exact match with BE85. Apart from the (yet unconfirmed) slower variability, the third frequency of BE85 is also present as an alias at f3 = 7.2748d-1, but it only reaches significance if one looks at a daily adjusted data set in V. The multi-periodicity and amplitude difference clearly point towards pulsations. To search for the long-period variability as mentioned by BE85, the more rapid β Cephei signals were subtracted from the original unadjusted data. This led to a residual light curve which was dominated by variations of the order of the length of the run making it very difficult to detect any low-frequency modulation. However, a peak in the unadjusted spectrum (and therefore not in Fig. A.4) is visible at 0.38d-1 where BE85 suspected a signal but it is not significant. Furthermore, the residual frequency spectrum suggests the presence of additional variability at about 10d-1 with an amplitude in the mmag regime. In U the data are extremely unreliable for the most part; only f1 with an amplitude >5mmag comes close to the S/N threshold, but does not exceed it. Because of these large uncertainties we did not attempt mode identification of the individual oscillations. Clearly SBL268 shows oscillations and in addition it is located in the β Cephei instability strip. Therefore we can confirm its membership in this class of variables.

thumbnail Fig. A.5

Frequency spectra of the β Cephei variable SBL303. The bottom panels show five steps in our data evaluation. The top panels show light curves for all bands. Since too many models passed through our error box, the mode identification panel is not displayed here. However, f3 shows increasing amplitude with wavelength which is only seen in l = 4 modes. All notations are the same as in Fig. A.3. The frequencies take the values f1 = 10.1225d-1, f2 = 10.991d-1, f3 = 10.5106d-1, f4 = 11.6904d-1, f5 = 12.045d-1, and f6 = 11.902d-1. Their errors range from σf1 = 0.0002d-1 to σf6 = 0.001d-1.

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SBL303 was classified as a β Cephei pulsator as early as 1983 by Ba83. Its spectral type is listed as B2IV-V by PHC91 and it is classified as a member by both BVF99 and RCB97; Ra96, RM98, and GM01 consider this star to be a binary, but no definite conclusion has been drawn so far since too few spectroscopic measurements are available. Furthermore, RM98 suggest two components with masses of 8.8 and 1.7M, respectively. In light of this large difference in mass, the combined stellar light would be strongly dominated by the more massive component. Therefore, the Strömgren photometry is fully representative of the primary star and can be used to determine its effective temperature and surface gravity. This calibration puts the star into the β Cephei instability domain. SBL303 has been subject to variability studies by BS83 and ASK01. Comparing their work, the rapid β Cephei pulsation frequencies match relatively well; however, both find evidence for superimposed slower variability, but here the results differ. Our data reveal a more complex picture. The multi-periodic oscillation spectrum at higher frequencies is recovered and also clear signs of variability on longer time scales are present. The data, however, suffer from zero-point offsets between the individual nights and months. No peak in the regime <1d-1 is deemed significant with the adopted S/N threshold criterion. Therefore no statement can be made whether this is due to zero-point variations or indeed intrinsic. To determine reliable amplitudes which do not suffer from offsets and extrinsic long-term variability, we applied an adjustment on a daily basis by subtracting the mean magnitude for each day to study the more rapid β Cephei pulsations. Our analysis resulted in six independent oscillations. Comparing our results to those of BS83, all frequencies except the long-period variation are reproduced either exactly (f1 = 10.1225d-1,f4 = 11.6904d-1,f5 = 12.045d-1) or can be explained with a monthly ± 0.03d-1 alias (f2 = 10.991d-1,f3 = 10.5106d-1). In these cases the aliases were examined and rejected because (a) each of them had a significantly lower amplitude and (b) the residuals of the fit also increased when these were chosen. The same is true for a comparison with the results of ASK01: low-frequency variations were not matched but the others match exactly (f1,f2) or can be explained with a daily alias (f3,f4). Within the errors the amplitudes also match with those from BS83 except for f5. The weakest signal we detected (f6) at 11.902d-1, which reached a S/N > 4 only in V, has not been found before. With all the evidence taken together, the analysis clearly confirms the β Cephei nature of SBL303. Despite the good data quality for SBL303 our attempts to characterise pulsation modes were not successful since too many models passed through our error box. However, one conclusion can be drawn from our tests. f3 shows a trend towards larger amplitudes with increasing wavelength. When calculating models for a mass range of 9 − 11M, the only spherical degree that is compatible with this behaviour is l = 4. This may be surprising at first sight because of geometrical cancellation for such a high degree mode. However, it has been suggested that higher l modes tend to occur more frequently in the more rapidly rotating β Cephei stars (Handler et al. 2012); SBL 303 rotates at vsini = 140 km s-1(García & Mermilliod 2001). Frequency spectra and light curves are displayed in Fig. A.5.

SBL353 was first suggested to be a β Cephei candidate by BE85, and both RCB97 and BVF99 classify it as a member of the cluster; PHC91 list spectral type B0.5V. According to LM83 it is a spectroscopic binary; however, RM98 conclude that it is a single star. Strömgren photometry places this star near the other very bright β Cephei variables on the theoretical HR diagram in NGC 6231, but one has to keep in mind its possible binary nature. No one has so far managed to detect a single significant frequency for this object: BE85 mention that there might be oscillations at 0.3d-1 or at 10.6(11.6)d-1 but do not arrive at a conclusion; ASK01 also analysed this star and found possible oscillations in the 10 − 15d-1 range. Our attempts to detect significant frequencies with the new data did not change this situation. One reason why it is so difficult to extract high quality light curves from the CCD data is that SBL353 is situated next to a very bright O star. This star produced a bright halo around itself in the images and depending on whether the instrument was in focus or not, led to serious contamination in the data. As a consequence the given statements should be considered with some caution. Our analysis resulted in individual significant frequencies, but these depend on the filter under consideration. Two frequencies were found in V at 8.24d-1 and 4.98d-1 which is not consistent with the previous studies and in B not even a small signal was visible in these regions. On the other hand, the B data showed excess power at 3d-1, which in turn was not visible in V. This kind of variability might be attributed to the contamination of the bright O star. However, an insignificant signal was present at 0.3d-1, which agrees with the suggested period of BE85, and a visual inspection of the light curve showed higher frequency variation for some nights. As a consequence, this star must remain a β Cephei candidate for now. A light curve sample and the frequency spectrum of SBL353 are displayed in Fig. A.6. Here the light curve spans only one night where one can see rapid variations which might be β Cephei oscillations.

thumbnail Fig. A.6

Light curve and frequency spectrum of the β Cephei candidate SBL353. No signal reaches our S/N = 4 threshold, but for some nights a visual inspection suggests the presence of intrinsic variability.

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SBL437 is a β Cephei candidate according to BE85 and ASK01; BVF99 and RCB97 determined it to be a cluster member and PHC91 list it with spectral type B0Vn. Neither variability study resulted in the detection of any frequency above the S/N threshold, yet indications were present that this star is indeed variable. The authors BE85 reported possible frequencies around 9.1d-1 and 14d-1 and even a long-term variation with a period of the order of 30d and ASK01 mention possible frequencies around 15d-1. Our data set supports the picture of a β Cephei candidate and we were able to detect one oscillation above the S/N threshold at f1 = 7.461d-1. Further analysis reveals some interesting features. Visually inspecting the light curves and periodograms led to the conclusion that the long-term variation is not caused by zero-point offsets as is the case with many other stars. Most stars in our data set show extrinsic variability of the order of the length of the run due to zero-point offsets at 0.016d-1. In this case the strongest but still insignificant signal that would mark a long-period variation can be found at 0.14d-1 with a strong alias at 0.86d-1. Going up in the frequency range another potential frequency can be found at 3.73d-1 that depicts f1/2. At even higher frequencies (and consistent with the results of BE85 and ASK01) possible signals can be found around 14d-1 and 15d-1 both of which do not seem to be a harmonic of f1. The data quality in U is worse than average for this star and we could not even find a sign of the strongest frequency found in the other filters which can be attributed to its small amplitude. Therefore, no attempt to identify the pulsation mode was made. Figure A.7 shows data for one night in V and our frequency spectrum of SBL437. Clearly, additional data are needed to detect intrinsic variability. It is especially important that these data be precise so that a definite conclusion can be reached whether this star belongs to the β Cephei class or not.

thumbnail Fig. A.7

Example light curve and frequency spectrum of the β Cephei candidate SBL437. Our analysis resulted in one significant frequency at f1 = 7.461 ± 0.001d-1.

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SBL456 is a β Cephei candidate as proposed by ASK01 with spectral type B1Vn as listed by PHC91 which still lacks confirmation. According to BVF99, it is probably a member of NGC 6231. The variability study of ASK01 resulted in the detection of three frequencies at 3.1d-1, 3.9d-1, and 0.1d-1, respectively, and they suggested that oscillations with even shorter periods are likely present, but their data did not allow a detection in this range. Our data and significance criterion allowed us to detect only one frequency at f1 = 12.670d-1 together with its aliases. Examining the light curves and the periodogram after prewhitening shows that variations at longer time scales are present as well (excluding the often seen signal at 0.016d-1 that is introduced by the length of the entire observing run). However, no signal in this regime exceeds the S/N threshold, but probable oscillations can be found at 3.05d-1 (which agrees with the result of ASK01), and a second peak can be found at about 0.5d-1. Since the variability at 0.5d-1 is sometimes seen in other stars as well, it is also possible that it is caused by zero-point offsets. If it is intrinsic, there is no way of telling which peak represents the true oscillation since in this range the periodogram has a complex structure and is very crowded owing to aliasing. However, none of the mentioned possible oscillations reached a S/N > 4. This holds true for both B and V light curves. The U data set is characterised by very bad quality; not even f1 could be detected unambiguously. If one takes the oscillation spectrum and the position in the HR diagram (which places the star into the β Cephei instability domain) as indicators for the class of pulsating star, the conclusion is that this indeed is a β Cephei-type variable. To resolve the suggested frequencies, clearly more data are required that do not suffer from offsets, that allow the detection of signals below 1mmag, and ideally that feature a better spectral window. An example light curve and the frequency spectrum of the V data are displayed in Fig. A.8.

thumbnail Fig. A.8

Sample data and frequency spectrum of the β Cephei candidate SBL456. Notations and markings are the same as in Fig. A.3. Only one frequency at f1 = 12.670 ± 0.001d-1 was found to be significant.

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thumbnail Fig. A.9

Prewhitening steps in our frequency analysis of the β Cephei star SBL486 are shown, as well as sample light curves with the multi-periodic fit. No mode identification could be performed because of unreliable data in U. Three frequencies were included in our analysis which take the values f1 = 11.3791d-1, f2 = 13.8258d-1, f3 = 18.058d-1. The errors range from σf1 = 0.0007d-1 to σf3 = 0.001d-1. All notations and markings are the same as in Fig. A.3.

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SBL486 is listed as a single B0.5V star by PHC91 and RM98 and is a member of NGC 6231 according to both BVF99 and RCB97. It is classified as a β Cephei pulsator and was examined by BE85 who found three significant frequencies, but they also mentioned that they could not exclude errors due to aliasing. This star was also in the FOV in the ASK01 observations. They found five significant oscillations, two of which match (considering aliasing) the BE85 data. We were able to detect three significant frequencies on the basis of a daily adjusted set. Figure A.9 shows our data analysis steps and some representative light curves; f1 = 11.3791d-1 and f3 = 18.058d-1 match the results of BE85, f2 = 13.8258d-1 can be explained by an alias. The matching alias frequency of f2 of BE85 (f = 14.798, separated by one daily and one monthly alias) was checked with the current data and resulted in a significantly lower peak in the Fourier spectrum and also produced larger residuals when fit together with the other oscillations to the entire light curve in all bands. Taking this into account the frequency found by BE85 was rejected. The data were again dominated by offsets on time scales spanning the entire run making it very difficult to determine low frequencies. Nevertheless, visual inspection of the unadjusted light curves suggested a period larger than 2d which was found in the unadjusted (and not displayed) frequency spectrum at f4 = 0.38d-1 with an amplitude of 3mmag. This matches one of the low-frequency variations detected by ASK01. However, the signal was not significant when fit to the whole run. When investigated on the basis of just a single month it exceeded the S/N threshold and the amplitude of this variation varied by a factor of three (from about two mmag up to six mmag) for the individual months. Furthermore, the second data set of the observations of BE85 in 1984 covered eleven nights and they claim that the residuals of the fit can be explained by single data point errors (σ = 2.8mmag) leaving no place for a low-frequency variation with larger amplitudes. Consequently, this frequency was not included in the final multi-periodic fit but is certainly worth mentioning. The data quality in U was particularly bad for this star, so that no frequency was found to be above the S/N threshold. The multi-periodicity, amplitude differences, and also the calibrated Strömgren photometry confirm the β Cephei nature of SBL486. In light of the poor data quality in U where no single frequency was found to exceed our criterion we did not attempt to identify pulsation modes.

According to ASK01, SBL515 is a suspected β Cephei pulsator. These authors found several frequencies but were unable to give a final frequency solution because of aliasing. Furthermore, they mentioned that this star is much fainter than other β Cephei stars in NGC 6231 (see Fig. 2), implying that it is not a cluster member even though it is classified as a member by BVF99. Even though the measurements of this star are affected by one of the most luminous stars in the cluster and its PSF is merged with SBL512, we were able to determine two frequencies in the V passband: f1 = 3.5221d-1 is a very good match with the ASK01 analysis; f2 = 5.162d-1 reaches S/N = 3.97 and therefore does not reach our detection criterion. However, since this value also agrees with the time scales of the ASK01 data we consider it to be an intrinsic oscillation. Figure A.10 shows parts of the light curve and the frequency spectrum with the two detections marked by arrows. This star is also the only one among the (confirmed and candidate) β Cephei stars for which the determination of the stellar parameters was done with photometry from BL95. Its position in the HR diagram is shown in Fig. 2. Its position, which is significantly different from the other stars, can be interpreted as an indicator that this star is not member of NGC 6231, or that it is not a β Cephei star. In addition, the time scales of the variability of SBL 515 reported by ASK01 are considerably larger than those of the other β Cephei stars in the cluster, suggesting a more evolved evolutionary state, strengthening the interpretation that it is not a cluster member.

thumbnail Fig. A.10

Light curve in V and frequency spectrum of the candidate β Cephei star SBL515. Two frequencies were included in our results, f1 = 3.5221d-1 and f2 = 5.162d-1, with the errors σf1 = 0.0006d-1 and σf2 = 0.001d-1.

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thumbnail Fig. A.11

Results for the β Cephei star SBL653 with frequency spectra, light curves, and an attempt to identify the pulsation mode of f1 = 9.2647d-1; The second frequency takes the value f2 = 13.334d-1. The determined errors are σf1 = 0.0003d-1 and σf2 = 0.0008d-1. The amplitude ratios were calculated for masses from 15 to 16M. All notations and markings are the same as in Fig. A.3.

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thumbnail Fig. A.12

Same as Fig. A.3 where applicable, but for the β Cephei star SBL712. No fit to the data is shown since zero-point offsets dominate the light curve. The frequencies are f1 = 9.8481 ± 0.0006d-1 and f2 = 9.2947 ± 0.0008d-1.

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SBL653 was discovered to be a β Cephei star by Ba83 and later its variability was also investigated by BS83 and ASK01. Both RCB97 and BVF99 considered it to be a member of NGC 6231 within their adopted photometric criteria; PHC91 list it as a single star with spectral type B1V. The variability study of BS83 resulted in a simple frequency spectrum with only two dominant oscillations (f1,BS83 = 9.27d-1, f2,BS83 = 16.405d-1); ASK01 found a daily alias of the strongest signal, f1,BS83, and also evidence for superimposed slower variability with a time scale of the order of 1d. They claimed that this slower variation might not be intrinsic since fitting aliases for the strongest frequency results in the disappearance of this slow variability. With our data set we were able to detect two frequencies: f1 = 9.2647d-1, which matches the signals in the other data sets and f2 = 13.334d-1. The latter is above the S/N threshold in B, and close to it in V. Consequently, it is considered to be an intrinsic variability. No sign of slower variability is found and the second frequency listed by BS83 is not visible either. However, the residuals after prewhitening are not clean and suggest additional frequencies in the range 11 − 14d-1 where the strongest signal is found at 12.8d-1. No peak in this range has a S/N greater than 4. To determine more reliable amplitudes, the light curves have been adjusted on a daily basis to eliminate zero-point offsets. Only for f1 could a reliable amplitude be determined in U, for which it was then possible to investigate the nature of the oscillation. Amplitude ratios were computed for masses ranging from 15 to 16M as suggested by the evolutionary tracks in the HR diagram. The results favour a radial mode but the relative errors are too large to arrive at a final conclusion. In addition, stellar models with lower masses were also checked since RM98 find 13.13M. All models passing through our error box with masses ranging from 13 to 16M show the same behaviour regarding the amplitude ratios also suggesting an l = 0 pulsation. Figure A.11 displays a light curve sample, frequency spectra, and the mode identification.

SBL712 was the first pulsating star discovered in NGC 6231 by Shobbrook (1979) who analysed observations taken in 1972 and 1973. It is also an already classified β Cephei-type pulsator for which these early results indicate that the periods are not stable since the frequency spectra exhibited significant change during this time. It is listed as a single star with spectral type B1V by PHC91, who also determined it to be a member of NGC 6231. The authors BS83 found similarities with the older data and detected six independent oscillations. Apart from aliasing problems the frequencies determined by ASK01 match well with the results of BS83. Our analysis reveals a very complex frequency spectrum, but only two frequencies are detected above the adopted S/N threshold (f1 = 9.8481d-1 and f2 = 9.2947d-1). The two frequencies we could detect match the older results very well. In the residual frequency spectrum evidence for additional frequencies is present, but only one additional signal detected by BS83 (f = 10.98d-1) comes close to S/N = 4. For other frequencies mentioned by BS83, such as f = 9.62d-1 and f = 8.23d-1, a daily adjusted data set helps to improve the quality but these frequencies still do not exceed the S/N threshold. Moreover, the low-frequency variation found by BS83 at 1.44d-1 does not appear at all in our analysis. Adjusting the data has been considered to improve the reliability of the analysis and possibly detect more frequencies, but no further signal was detected. In U the situation is worse; no frequency is deemed significant and for the two present signals in the other two bands, daily aliases have a larger amplitude. This is attributed to large amounts of corrupted data in U that had to be deleted before the analysis to guarantee a reliable result. Figure A.12 shows the frequency spectra for an unadjusted data set along with sample light curves of SBL712. Since the data are dominated by zero-point offsets the fit to the original data does not match the light curves well and is not displayed here. No attempt to constrain the spherical degrees of the pulsation modes has been made.

thumbnail Fig. A.13

Same as Fig. A.3, but for the newly discovered SPB variable SBL164. The frequency is f1 = 1.4183 ± 0.0001d-1. The theoretical amplitude ratios in the bottom-right panel were computed for stellar masses between 3.5 and 4M.

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thumbnail Fig. A.14

Frequency spectra, light curves, and amplitude ratios for the newly discovered SPB variable SBL210. Notations and markings are the same as in Fig. A.3. The amplitude ratios were calculated for masses between 4.5 and 5.5M. The detected frequencies are f1 = 0.9615d-1, f2 = 0.8332d-1, f3 = 0.5004d-1, and 2f1. The errors in the frequencies range from σf1 = 0.00005d-1 to σf3 = 0.0006d-1.

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Appendix A.2: Slowly pulsating B stars

SBL164 is a newly discovered variable star. It is classified as a member of NGC 6231 by RCB97 who also photometrically derived spectral type B6-8V. The authors RM98 found SBL164 to be a single star. Our frequency analysis showed that the light curve is dominated by a single frequency at f1 = 1.4183d-1, but we also suspect additional oscillations in the low-frequency range with amplitudes up to 4mmag because of the shape of the residual frequency spectrum and the imperfect (but very good) fit of the single frequency solution to the light curves. Since multi-periodicity is an important indicator for pulsations as the origin of the light output variations, here one has to rely on the photometric amplitude ratios, the time scales of the variability, and the position in the HR diagram. These facts point towards the conclusion that SBL164 is a new SPB star in NGC 6231. The mode identification turned out to be difficult for various reasons. The calibration of the Strömgren photometry puts SBL164 below the ZAMS in the Teff − log    g diagram, which is due to an unphysically large log g value. For this reason, and only for this star, the error in surface gravity has been increased to σlog   g = 0.5dex. This also suggests that the position in the HR diagram might be not correct, pointing towards a different stellar mass. The authors RM98 find a mass of 4.07M, whereas our comparison of Strömgren photometry to the evolutionary tracks in the HR diagram suggests a mass of about 3.5M. In Fig. A.13 we show frequency spectra, light curves, and amplitude ratios for oscillations of stars with masses in the range from 3.5 to 4M (no excited modes were found for 3M). The two distinct branches observed for the l > 1 modes is explained by the incremental uncertainty in mass. Here the observations are only compatible with an l = 3 mode of a 4M star.

thumbnail Fig. A.15

Same as Fig. A.3 where applicable, but for the SPB star SBL275. The frequencies found are f1 = 1.6686d-1, f2 = 1.7662d-1, f3 = 0.9093d-1, and f4 = 2.0437d-1, with errors ranging from σf1 = 0.0001d-1 to σf4 = 0.0006d-1.

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SBL210 has not yet been subject to a variability study. It is classified as a member of NGC 6231 by RCB97 who also list it as a candidate Ap star on the basis of photometric boxes. However, this classification is clearly inconsistent with its Strömgren colours that are typical for a B star. In addition, McSwain & Gies (2005) also attribute spectral type B to SBL210. Therefore we treated it as a chemically normal B-type star for the determination of effective temperature and luminosity. Our analysis of the data revealed three independent frequencies and one harmonic (f1 = 0.9615d-1, f2 = 0.8332d-1, f3 = 0.5004d-1, and 2f1). Only the strongest signal and its first harmonic are significant in all data sets. In the V data two more frequencies are found to be above the S/N threshold; f3 has to be considered with caution since we found this frequency in some other data sets as well and it might be explained by zero-point offsets. However, this star does not show significant offsets during the entire two-month period of the observing run; therefore, we think that f3 is an intrinsic variation. We found the data in U to be much more reliable compared to other stars, because the data for this star showed less systematic deviation than for others and because its amplitudes are comparably high. Therefore the whole light curve could be analysed. In Fig. A.14 examples of the light curves, the corresponding fits, as well as original and residual frequency spectra are shown. The author Ra98 derives a mass of 5.06M for SBL210 that matches very well with the calculated luminosity, effective temperature, and overlaid evolutionary tracks shown in Fig. 2. On the basis of multi-periodicity, amplitude differences in all bands, the time scales of the variability, and its position in HR diagram, we classify SBL210 as an SPB variable. Only f1 with its large amplitude could be examined closer because of unreliable data in U (which affects the smaller amplitudes). The results of an attempt to identify the spherical degree l of the associated mode are also visible in Fig. A.14. The grids for stars with masses between 4.5 and 5.5M have been checked with the already mentioned parameters for NGC 6231 within the error boxes of the Strömgren photometry for the degrees l = 1 to 4. Again the uncertainty in mass makes it very difficult to determine the spherical degree. From a visual inspection we suggest that f1 is an l = 2 mode.

SBL275 was discovered to be a variable star by ASK01 who also suggested a possible SPB nature. According to RCB97 this star is a cluster member and has a spectral type B4-5V that was derived photometrically. The variability study by ASK01 resulted in two significant frequencies at 1.65d-1 and 0.74d-1. Our analysis revealed a more complex oscillation spectrum. The periodogram for the original data set in V showed maximum power at 1.7d-1. Prewhitening this oscillation and subsequent fitting of further significant frequencies did not result in a satisfactory fit to the light curve. Therefore a careful examination of the light curve was conducted that showed the possibility of beating of two close frequencies. For the determination of these frequencies which are responsible for the beating phenomenon, several different pairs and their aliases were checked. Those chosen in the end mark the pair which minimised the residuals. The best match was found at f1 = 1.6686d-1 and f2 = 1.7662d-1. Because of aliasing these two oscillations produced the largest peak in the frequency spectrum at 1.7d-1. This also matches well with the results of ASK01 when aliasing is taken into account. The search for additional oscillations was very difficult because the V and B light curves suggested different frequencies after prewhitening f1 and f2. In V two more frequencies (f3 = 0.9093d-1 and f4 = 2.0437d-1) turned out to be significant, but which could not be found in B. The third strongest signal in B is found at 1.33d-1 which in turn is not visible in V. Since no distinction is possible to determine which of these frequencies is intrinsic, only the frequencies in V for the remaining signals are included in our final solution since the light curve in this filter exhibits the least scatter and seems to be most reliable throughout our entire data analysis. In addition, no indication of more rapid oscillations is present above the noise level of the data. A light curve sample and the individual steps in the frequency analysis are displayed in Fig. A.15. Together with the results from ASK01 it is clear that this star shows variability in the range typical for SPB stars. An important indicator to exclude rotational and binary effects is multi-periodicity which is clearly present here. Amplitude differences are also taken as an indicator for pulsations as an origin of the variability. Furthermore, calculating the stellar luminosity and effective temperature puts SBL275 into the instability domain of SPB-type pulsators. The indicated mass of about 5M compares well with the results from RM98 who find 5.17M. From all this evidence taken together, we declare SBL275 to be an SPB-type pulsator. Setting constraints on the underlying modes turned out to be very difficult for this star, since the given effective temperature and surface gravity combined with the uncertainty in mass (4.5 to 5.5M) meant that far too many model frequencies were excited to draw any conclusion.

thumbnail Fig. A.16

Same as Fig. A.3, but for the newly discovered SPB star SBL283. The detected frequencies are f1 = 1.6694d-1, f2 = 0.249d-1, f3 = 1.4688d-1, and f4 = 2.9952d-1, with errors from σf1 = 0.0002d-1 to σf4 = 0.0006d-1. The theoretical amplitude ratios shown here were calculated for a 5M star. If one also allows for an uncertainty in mass, only the l = 1 modes match the observations well.

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SBL283 has not yet been classified as a variable star and it is listed as member of NGC 6231 by both BVF99 and RCB97; PHC91 give only spectral type B without further subclass or luminosity class. Our frequency analysis revealed the richest and most complex spectrum compared to the other SPB stars in the field giving rise to many individual oscillations in the low-frequency regime. For this star prewhitening and subsequent fitting of frequencies with the largest amplitude in the periodogram led to an imperfect fit. For this reason the frequencies were selected manually. The searching, fitting, and prewhitening after some steps led to eleven significant frequencies in the end with residuals far below 1mmag in the amplitude spectrum. Since the data quality is not unusually different from any other star with comparable apparent brightness, we fear that many of these formally significant frequencies are not intrinsic. Moreover, the residuals after prewhitening the eleven frequencies were below the single data point error, also suggesting an implausible result. Therefore only four frequencies were included in the final fit (f1 = 1.6694d-1, f2 = 0.249d-1, f3 = 1.4688d-1, and f4 = 2.9952d-1). The residual frequency spectrum and the still imperfect fit to the light curve can be interpreted as indications for additional variability. Figure A.16 shows the frequency spectra for the original data set after prewhitening 1−3 frequencies and the residuals for the V data. We note here, that the 11 frequencies mentioned above do not reach the S/N = 4 limit in the plot of the residuals because they only become significant after prewhitening. Also displayed are light curves in U, B, and V with the corresponding calculated fit. The star SBL283 is clearly multiperiodic, shows different amplitudes in the three bands, is positioned in the SPB instability strip, and shows variability at typical time scales for these stars. Thus, we classify it as an SPB-type variable. Reliable amplitude values could only be determined for f1 in all three bands. For the mode identification we considered models with masses ranging from 4 to 5M. For this star too a very large number of excited model frequencies was found in the observed range. All l = 1 modes showed consistent behaviour to which the observations are very well matched. For l > 1 we observed the opposite behaviour suggesting a broad range of amplitude ratios. However, no mode with l > 1 was able to reproduce the observed values. For demonstration purposes we only show the mode identification for a 5M model in Fig. A.16.

thumbnail Fig. A.17

Same as Fig. A.3, but for the newly discovered SPB star SBL317. The frequencies found are f1 = 0.6133d-1, f2 = 1.3381d-1, f3 = 3.4903d-1, and f4 = 4.9252d-1, with errors ranging from σf1 = 0.0002d-1 to σf4 = 0.0007d-1.

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SBL317 was suspected to be a variable star by BVF99 on the basis of the difference between their measurements and PHC91’s photometry; RCB97 find it to be a member of NGC 6231, yet BVF99 list the star as a non-member. This last result is probably an error in the catalogue since (a) this star is used in the discussion of their work as a member and (b) the calibration of the Strömgren photometry indicates a very similar colour excess Eb − y compared to other members. For these reasons it can safely be assumed that SBL317 is a member of NGC 6231. The spectral type is listed as B3 without luminosity class in PHC91, and RCB97 photometrically find B2-3V. Our variability analysis resulted in three significant frequencies. A fourth one has also been included in the final list since it is apparent in both V and B data, comes close to the S/N threshold, and significantly improves the fit to the data. These are f1 = 0.6133d-1, f2 = 1.3381d-1, f3 = 3.4903d-1, and f4 = 4.9252d-1. There was no need to adjust the data for this target because the monthly offsets were lower than the amplitudes of the oscillations and the offsets were found to be only slightly above the single data point error. Unfortunately, the data in U resulted in one of the worst light curves with many unreliable parts so that not even a single frequency could be found in this passband. For this reason no attempt to identify pulsation modes was made. Figure A.17 shows example light curves and our frequency analysis steps in the periodograms. Since most U data had to be deleted no light curve is shown representing this passband. This star is certainly a very interesting object. Not only does it show variability on different time scales, it is also located near the region where SPB and β Cephei instability strips overlap in the HR diagram. On the basis of multi-periodicity and since the low-frequency variations dominate the light curve and no definite conclusion can be made on the more rapid variability, we classify SBL317 as an SPB star.

SBL394 has been reported as a possible SPB star by ASK01, but they were not able to arrive at a definite conclusion regarding the frequencies because of aliasing. Garrison & Schild (1979) established its spectral type to be B2IV-V; BVF99 and RCB97 both classified it as a member of NGC 6231. Furthermore, it is a possible binary according to RM98. Since the amplitudes of the potential multiple periods are very small for this star, and significant offsets are present, the data have been adjusted by subtracting the mean magnitude for each month. In this way possible SPB variability is not corrupted and the effects of the offsets are minimised. Only one frequency could be determined to be significant at f1 = 1.1298d-1 with an amplitude of about 3mmag. Possible additional variability might be at 1.33d-1 which comes close to a value determined by ASK01. All things considered, only the data in V revealed a significant frequency and it cannot be safely ruled out that this arises because of binarity. Visually inspecting the light curves also suggests the presence of more rapid variability, but we were not able to determine these pulsations with our frequency analysis. If this variability were present, it certainly would have an amplitude below 1mmag. However, even though only one frequency in one filter was detected, this star is considered an SPB variable since (a) it shows signs of multi-periodicity even though no additional oscillations could be detected (which can be blamed on the data offsets), (b) ASK01 detected multi-periodicity, and (c) it is found near other SPB stars in the theoretical HR and colour-colour diagrams.

thumbnail Fig. A.18

Light curve in V and frequency spectrum of the SPB star SBL394. Only one signal was significant at f1 = 1.1298 ± 0.0005d-1.

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thumbnail Fig. A.19

Same as Fig. A.3 where applicable, but for the SPB star SBL461. Only one frequency was found to be significant at f1 = 0.3597 ± 0.0005d-1. The theoretical amplitude ratios were calculated for models with masses ranging from 6.5 to 7.5M.

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SBL461 is another SPB candidate according to ASK01. This star is found to be a member of NGC 6231 by RCB97 and BVF99 and has spectral type B1.5V according to PHC91. The question about its binary nature has yet to be settled since GM01 find it to be a single star; RM98, however, list it as a binary. It is interesting to mention here that PHC91 found a significantly different value for the V magnitude when compared to work by BVF99, SBL98, and BL95 that might be due a blended PSF of SBL461 and SBL459. We also checked SBL459 for photometric variability and found signals near 2.4d-1 and 14.8d-1. However, because of the blending of these objects and changing ambient conditions/camera positions, we cannot conclude that SBL459 is indeed a variable star on its own. For SBL461, ASK01 find evidence for two frequencies at 0.4d-1 and 0.5d-1, but they explicitly mention that their results need to be checked. The Fourier analysis with our data set resulted in only one significant frequency. Even though the light curves are well described by this single oscillation, the residuals are not clean which suggests additional variability at the mmag level. Because of the small amplitudes involved, the identification has been done by analysing a monthly adjusted light curve to suppress very low-frequency variation. In all three bands the oscillation with the largest amplitude is found at f1 = 0.3597d-1 which is reasonably close to the solution of ASK01 when aliasing is taken into account. An additional significant frequency is present in the V data which can be found at 0.17d-1, but it does not fit f1/2 well. However, this might have been introduced by the length of a run in one month. Since variability at 0.17d-1 is not often seen in the light curves of other stars, the possibility remains, that it is an intrinsic effect. Because no significant improvement of the fit to the light curve is seen when this frequency is included, we do not consider it to be an independent oscillation. We note here that this frequency becomes significant only after prewhitening and is therefore not above the S/N = 4 threshold in the residual amplitude spectrum shown in Fig. A.19. Possible additional frequencies can be found at 0.5d-1 (which is the second frequency of ASK01) and, interestingly, in the range 7 − 8d-1 with the most prominent peak at 7.64d-1 when looking at daily adjusted data or at about 7.24d-1 for the the monthly adjustment. Figure A.19 shows this monthly adjusted set of SBL461 and also our calculated frequency spectra. Clearly visible is the low-frequency variability. We note that the noise in the light curve is unusually high for this relatively bright star. This can be explained by its close position to another cluster star introducing additional errors. Furthermore, for some nights the noise level is higher than for others which is attributed to the defocused state of the camera, where the distinction of the PSFs becomes more difficult. Together with its position in the HR diagram, our results suggest that SBL461 is indeed an SPB-type pulsator. Even though only one frequency can be found above our significance level, the different amplitudes in the three bands and the potential presence of additional variability point to the conclusion that the variability is due to pulsation. The binary nature, however, still needs to be clarified. If the amplitude in U is artificially increased owing to unreliable data, and if this star is in fact a binary, it is possible that the variability does not originate from pulsations. Also visible in Fig. A.19 are the measured amplitude ratios plotted on top of predicted values for models with masses between 6.5 and 7.5M within the error box of Teff and log   g. A visual inspection suggests an l = 1 mode for f1.

thumbnail Fig. A.20

Same as Fig. A.3, but for the newly detected SPB candidate SBL480. f1 = 2.2981 ± 0.0004d-1, f2 = 4.5224 ± 0.0008d-1.

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SBL480 has not yet been subject to a variability study. It was reported to be a member of the cluster by BVF99 and RCB97; it has spectral type B2IVn according to PHC91 and does not seem to be a binary following RM98. The frequency analysis with our data set turned out to be very difficult since the amplitudes of potential oscillations are very small. To minimise the effects of different zero-points during the entire observations, an adjustment was performed on a monthly basis. The strongest signal is found at f1 = 2.2981d-1 and after prewhitening the periodogram is dominated by signals peaking at about 0.5d-1. Because of the characteristics of the Fourier method this region is very crowded in frequency space and no signal is found to be above the detection threshold. An additional significant frequency could be found at f2 = 4.5224d-1 in the V data. We investigated the possibility of f2 being a harmonic of f1 when taking aliasing into account. Either pair (f2/2 ≈ f1 − 0.03d-1, f2), or (f1, 2f1 ≈ f2 + 2·0.03d-1) resulted in a worse fit than the chosen one. Still, this does not rule out the possibility that f2 is a harmonic of f1. The variation around 0.5d-1 is difficult to interpret since some other stars also show variability in this region with about the same amplitude suggesting that this is due to instrumental or atmospheric effects. The data quality in U is above average, but even so no significant oscillation was visible in the frequency spectra. Figure A.20 displays sample light curves where the variability is clearly visible in both the frequency spectrum for the adjusted data set and the light curves. No Strömgren photometry is available for this target and efforts to calibrate effective temperature and luminosity on the basis of UBV photometry using the same calibrations as SBL98 from Boehm-Vitense (1981) were not successful since they did not yield realistic results. However, the time scales of the variability and the multi-periodicity point towards pulsation as the origin of the light curve modulation. Since f2 might be a harmonic of f1, and because the amplitude differences between the passbands are very small, the possibility remains that the variability is not caused by pulsations. Therefore SBL480 is considered to be an SPB candidate.

thumbnail Fig. A.21

Same as Fig. A.3, but for the newly discovered SPB star SBL482. The detected frequencies are f1 = 1.9461d-1 and f2 = 1.3466d-1 with errors σf1 = 0.0004d-1 and σf2 = 0.0006d-1. The amplitude ratios were compared to models with masses ranging from 3.5 to 4M.

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SBL482 was mentioned as a possible variable star by BVF99 for the first time. They arrived at this conclusion on the basis of the differences in their photometry to the values of PHC91. Since then, no variability studies included this star. Following BVF99, SBL482 is considered to be a cluster member even though RCB97 list it as a non-member. This decision was supported by the de-reddend b − y colour resulting from the Strömgren calibration that gave a similar colour excess when compared to other cluster members. The first step in our frequency analysis was to adjust the light curves so that the average values in magnitude for each month matched. We detected two significant frequencies in the V data that also show up in the other bands (f1 = 1.9461d-1 and f2 = 1.3466d-1). However, aliasing and some minor differences between B and V data do not allow an unambiguous determination of the oscillation frequencies. Nevertheless, the data are sufficient to detect clear amplitude differences in both f1 and f2 that we interpret as a clear sign of pulsation. Sample light curves and the steps in the frequency analysis are shown in Fig. A.21. The calculation of stellar parameters places this star in the SPB instability strip and together with the multiperiodicity, the time scales of the variability, and the amplitude differences in the three bands, SBL482 can be declared an SPB star. We also attempted mode identification. To this end we considered models with masses ranging from 3.5 to 4M as suggested by the star’s position in the theoretical HR diagram. For f1 no reliable statement can be given since too many modes were excited. The results for f2 are somewhat better and are displayed in Fig. A.21 among the frequency spectra and sample light curves. We found a large range of oscillations for l = 3, but for spherical degrees l ≠ 3 we found very similar behaviour across the mass range. Considering all models that pass through our error box we find compatibility with l = 1 and l = 3. If one considers only models with a mass of 3.5M then a dipole mode is clearly favoured.

thumbnail Fig. A.22

Same as Fig. A.3, but for the newly detected SPB variable SBL528. We found the frequencies f1 = 1.1959d-1, f2 = 0.8962d-1, and f3 = 1.3335d-1 with errors ranging from σf1 = 0.0002d-1 to σf3 = 0.0004d-1.

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thumbnail Fig. A.23

Same as Fig. A.3, but for the δ Scuti star SBL306. The determined frequencies are f1 = 23.7713d-1, f2 = 9.7797d-1, f3 = 9.4853d-1, f4 = 20.3195d-1, and f5 = 10.542d-1 with errors ranging from σf1 = 0.0005d-1 to σf5 = 0.001d-1.

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SBL528 is a new variable star in NGC 6231. It is classified as a member of NGC 6231 by BVF99 and RCB97; it has spectral type B6Vn according to PHC91 and it is also a possible binary following RM98. Other sources, however, do not find indications for binarity. Since minor zero-point offsets were present our first step was to adjust the data on a monthly basis to suppress very low-frequency variability. In U several measurements had to be deleted, but in general the quality of the light curve in this filter is above average. Our analysis resulted in three distinct oscillations (f1 = 1.1959d-1, f2 = 0.8962d-1, and f3 = 1.3335d-1), where V and B data agree well in general, but f3 disappears into the noise in B. Only f1 exceeded the S/N threshold in U. This can be attributed to the significant daily offsets visible in this light curve. Since we study variability of the order of 1d-1, we did not adjust the data to remove these offsets. The calculated multi-periodic fit matches well with the observed values, but a look at the residuals of the data suggests that the solution is not complete. Furthermore, since aliasing is a problem for this object the chosen frequencies are those which minimise the residuals. The determination of effective temperature and luminosity is based on photometry from BL95 and puts SBL528 in the SPB instability domain. Over-plotted evolutionary tracks suggest a mass of about 5M; RM98 find two components each with a mass of about 5M. The multi-periodicity, the different amplitudes in U, B, and V, its position in the HR diagram, and the time scales of the variability clearly point towards the nature of an SPB star. Therefore, it can safely be declared as such. We were not able to set constraints on the mode of f1 since in the given error box of Teff and log   g with masses ranging from 4.5 to 5.5M far too many models showed pulsations. Restricting the mass range to include only 5M models also does not solve this problem. Figure A.22 therefore only shows the results of our frequency analysis and sample light curves for SBL528.

Appendix A.3: Other variable stars

Appendix A.3.1: Possible cluster members

SBL306 was identified as a δ Scuti variable by ASK01. Since it is a rather faint object it was only possible to study it with the V data. No membership information is available, but Strömgren photometry suggests a slightly smaller colour excess (Eb − y ≈ 0.26mag) and distance modulus than the average cluster members. The star SBL306 is located in the southern part of NGC6231 where SBL98 find larger differential reddening in general. Therefore, it might be a foreground star. Broadband photometry puts it near SBL455, another δ Scuti variable which might be a member of NGC 6231; SBL306 is found inside the cool border of the δ Scuti instability strip and is also located on the ZAMS in the theoretical HRD. The authors ASK01 find three oscillations, two of which are readily visible in our data. Interestingly, the strongest signal they found at 15.6d-1 is barely seen in our analysis and cannot be distinguished from noise. Three additional frequencies are found for this star that had not been detected before. The frequencies are f1 = 23.7713d-1, f2 = 9.7797d-1, f3 = 9.4853d-1, f4 = 20.3195d-1, and f5 = 10.5421d-1. Because of strong aliasing, our frequency solution must be seen as preliminary; the frequencies determined are the values that minimise the residuals. Furthermore, f3 could be a combination of f4 and f5. A sample light curve in V, and the determined fit, as well as frequency spectra are displayed in Fig. A.23.

SBL417 has been identified as a PMS star by SBL98. The authors ASK01 find this star to be variable with only one detected frequency at 1.1d-1 and even speculate that it might be a PMS γ Dor pulsator. They also note that the variability might be irregular due to its PMS nature. With a visual magnitude of 14.62mag, SBL417 is one of the faintest stars in our sample. A visual inspection of the light curve did not show any distinguishable regular variability, but a calculated frequency spectrum using monthly adjusted data showed an insignificant peak at the position where ASK01 found a significant signal. The frequency spectrum is shown in Fig. A.24.

thumbnail Fig. A.24

Frequency spectrum for the potential PMS γ Dor pulsator SBL417. No signal is significant, but the largest amplitude is found at the position where ASK01 detected an oscillation (1.1d-1).

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SBL455 has been suggested as a δ Scuti variable by BL95 who performed a variability analysis and found two oscillations. The authors ASK01 confirmed the variability time scales and also its nature as a δ Scuti star. They also mention that this star is positioned off the main-sequence and therefore, if it is a cluster member, it is a PMS star. However, no membership information is available from the main sources used in this work and SBL98 do not classify it as a PMS star with their criteria. Our variability analysis resulted in four significant frequencies and is displayed in Fig. A.25: f1 = 23.7651d-1, f2 = 19.8906d-1, f3 = 20.869d-1, and f4 = 18.4495d-1. All of them except f4 match with the frequencies determined by either BL95 or ASK01 when aliasing is taken into account. The second oscillation detected by BL95 at 25.13d-1 is also visible in the residual frequency spectrum but does not exceed the S/N threshold. All frequencies and amplitudes were determined using an unadjusted data set since zero-point offsets were negligible and did not affect the rapid δ Scuti variability. Strömgren photometry of BL95 can be used to determine the colour excess, effective temperature, and luminosity. The colour excess is very similar to that of cluster members (Eb − y ≈ 0.3mag) which supports the idea of it being located in NGC 6231. The stellar parameters also position it in the δ Scuti instability strip away from the ZAMS, but within the errors SBL455 could also be very close to the ZAMS. In the colour-colour diagram SBL455 can be found on the ZAMS and also near another potential cluster member δ Scuti star (SBL306). The authors GS79 classify it as spectral type A5III which in turn would mean that it already has evolved off the ZAMS and is therefore not likely to be a member in such a young stellar aggregate as NGC 6231. However, since PMS stars also exhibit larger luminosities compared to their main-sequence counterparts, it is possible that the spectral type given by GS79 is a misinterpretation. The δ Scuti nature of SBL455 could clearly be confirmed in our analysis. Whether this star is indeed a PMS object and/or a cluster member still has to be verified, but according to our analysis it is likely a member.

thumbnail Fig. A.25

Same as Fig. A.3, but for the δ Scuti variable SBL455. The significant frequencies are f1 = 23.7651d-1, f2 = 19.8906d-1, f3 = 20.869d-1, and f4 = 18.449d-1. The errors range from σf1 = 0.0003d-1 to σf4 = 0.002d-1.

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thumbnail Fig. A.26

Same as Fig. A.3, but for the newly discovered SPB variable SBL464. The determined frequencies are f1 = 1.1001 ± 0.0003d-1 and f2 = 1.3059 ± 0.0006d-1.

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The membership status of SBL464 with respect to NGC 6231 is unclear since RCB97 list it as a member, whereas BVF99 reported it to be a non-member of the stellar aggregate; RCB97 also estimated its spectral type to be B8-9V and RM98 find evidence for possible binarity. Since no Strömgren photometry is available, a discussion of its possible membership must rely on broadband and Geneva photometry. In both the colour-magnitude and the colour-colour diagram shown in Fig. 2, SBL464 is located among cluster member SPB variables which can be taken as an argument in favour of its membership. Our differential photometry clearly indicates variability of the order of 1d-1. Since the amplitudes of the variations are very small, an adjustment on a monthly basis took place to enhance possible SPB-type variability. We found two significant frequencies for this star, f1 = 1.1001d-1 and f2 = 1.3059d-1, but f2 is only barely significant in the V data. Also an unambiguous determination of the frequencies was not possible because of strong aliasing, the small amplitudes, and the complex structure of the periodogram in the region around 1d-1. The values we chose here are those which minimise the residuals after fitting the two oscillations. Variability on shorter time scales is also indicated in the amplitude spectra in the range 12 − 13d-1 with some peaks coming close to the S/N threshold. The amplitude of this variation would clearly be below 1mmag. Figure A.26 shows the frequency spectra for the adjusted data set and for the residuals after prewhitening the two detected frequencies. The light curve with the multi-periodic fit is also displayed. Since our determined amplitude values in U, B, and V are not significantly different from each other and since the data in U is unreliable, our classification as an SPB-type variable is based upon multi-periodicity and the colour information from SBL98. Furthermore, we consider SBL464 to be a likely member of NGC 6231.

SBL705 has only been studied by SBL98 so far. Therefore, we could not calculate stellar parameters or rely on spectral type information. The photometric measurements of SBL98 place this star near the other possible member δ Scuti stars at the ZAMS and it does not show unusual colours with respect to other cluster stars. The light curve of SBL705 clearly shows long-term variability with peak-to-peak amplitudes of at least 0.6mag. However, we could not determine the period of this variability because of the large gaps between the observing runs. Referring to the complete data set displayed in Fig. A.27, it is also possible that the long-term variability has a period exceeding our data set which covers about two months. Superimposed on the long-term variation is variability in the range between 0.5 and 2d-1.

Appendix A.3.2: Non-members

SBL444 has not yet been determined to be a variable. No information can be found on its spectral type and BVF99 do not find it to be a member of NGC 6231. In addition, SBL444 is located near other non-member δ Scuti stars in the colour-magnitude and colour-colour diagrams. Furthermore, no Strömgren photometry is available. Since this star is not a member of NGC 6231 and reaches only a reasonable S/N in V, our analysis was limited to frequency determination only. Our frequency analysis, which is based on a daily adjusted data set, resulted in four significant oscillations, all in the range of typical δ Scuti pulsation: f1 = 15.0539d-1, f2 = 20.8483d-1, f3 = 17.9737d-1, and f4 = 23.056d-1. Additional oscillations are likely to be present at the mmag level, for instance around 13d-1, but are not detected with our adopted S/N threshold criterion. Figure A.28 shows selected data including the light curves and the calculated multiperiodic fit for two nights and the frequency spectra of our analysis. We classify SBL444 as a newly detected δ Scuti variable on the basis of a comparison with photometric data of other pulsators and the time scales of the variability.

thumbnail Fig. A.27

Same as Fig. A.3 where applicable, but for the newly discovered variable star SBL705. We note here that in both panels the y-axis scale has changed from mmag to mag.

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SBL612 has been classified as a δ Scuti variable by BL95 who also suspected this star to be a non-member of NGC 6231 and list it as a foreground star since the observed colour excess is much lower when compared to cluster members. The authors BVF99 confirm the non-membership photometrically as well. Our calibration of effective temperature and luminosity with measurements from PHC91 also yields a significantly lower colour excess (Eb − y = 0.19mag) and also positions this star in the δ Scuti instability strip. The authors BL95 found only one dominant oscillation with a period of about 2.15h. The analysis with our new data was done with daily adjusted data and resulted in four significant frequencies (f1 = 11.1654d-1, f2 = 10.7018d-1, f3 = 10.4427d-1, and f4 = 9.2525d-1), where the strongest signal, f1, is a perfect match with the value of BL95. The shape of the residual frequency spectrum, which is shown in Fig. A.29 together with sample light curves, suggests that there are very likely other oscillations present with amplitudes in the mmag range. None of these peaks, however, is significant.

thumbnail Fig. A.28

Same as Fig. A.3 where applicable, but for the newly detected non-member δ Scuti variable SBL444. We determined four oscillation frequencies at f1 = 15.0539d-1, f2 = 20.8483d-1, f3 = 17.9737d-1, and f4 = 23.056d-1, with errors ranging from σf1 = 0.0007d-1 to σf4 = 0.001d-1.

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thumbnail Fig. A.29

Same as Fig. A.3 where applicable, but for the non-member δ Scuti variable SBL612. The frequencies found are f1 = 11.1654d-1, f2 = 10.7018d-1, f3 = 10.4427d-1, and f4 = 9.2525d-1 and the errors range from σf1 = 0.0001d-1 to σf4 = 0.0008d-1.

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thumbnail Fig. A.30

Same as Fig. A.3, but for the newly discovered δ Scuti star SBL752. The determined frequencies are: f1 = 15.2413d-1, f2 = 15.3989d-1, f3 = 17.1006d-1, f4 = 15.0161d-1, and f5 = 18.7892d-1 with errors ranging from σf1 = 0.0006d-1 to σf5 = 0.005d-1.

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SBL752 has not yet been identified as a variable star and is listed as a member of NGC 6231 by RCB97 who also find spectral type Amp based on a photometric estimation. On the other hand, McSwain & Gies (2005) assigned spectral type B to this star. Our frequency analysis resulted in five detected oscillations (f1 = 15.2413d-1, f2 = 15.3989d-1, f3 = 17.1006d-1, f4 = 15.0161d-1, and f5 = 18.7892d-1), but since the amplitudes are all very small, the light curve is dominated by zero-point offsets. The detected oscillations, however, are little affected by this trend. Furthermore, aliasing posed a problem during the analysis so that the frequencies were selected to minimise the residuals. The U and B data showed larger average single data point errors compared to V making it harder to determine accurate amplitudes. Figure A.30 shows frequency spectra and two nights of data with the calculated fit. For other nights the fit does not match the data as well since offsets are present that were not accounted for. The residual frequency spectrum after prewhitening all five frequencies still showed some excess power around 20d-1, but no peak was significant. No Strömgren photometry is available for this star, but looking at the broadband colours in Fig. 2, SBL752 is not found in a common region with other variable stars. It shares the same apparent magnitude with some cluster SPB stars, but in the colour-colour diagram it is closer to other δ Scuti variables suggesting that it was misclassified as a member. However, looking at the reddening vector, SBL752 might be a foreground star but a comparison to SBL612 does not clarify this situation; SBL612, is a confirmed foreground δ Scuti pulsator and is more than two magnitudes brighter in V, suggesting that it is closer. On the other hand, the U − B colour excess suggests that SBL752 lies closer to us than does SBL612 if it is also a δ Scuti-type variable. The available Geneva photometry for SBL752 can also be interpreted in both ways. The authors RM98 assumed it to be a B-type cluster member and consequently determined a mass of 4.08M. On the other hand, assuming a reddening value consistent with that of a foreground δ Scuti star, the Geneva colours are also compatible with this interpretation. In conclusion, given the detected stellar pulsation periods, we tend to believe that SBL752 is not a cluster member, but a foreground δ Scuti star.

Appendix A.3.3: Eclipsing binaries

SBL521 is a known eclipsing binary (BE85) for which we could observe a part of a minimum with a depth of about mV = 0.15mag (see Fig. A.31).

SBL574 has already been classified as a binary by Sterken & Bouzid (2004), but BVF99 do not find this star to be a member of NGC 6231. We can confirm its nature as an eclipsing binary, but we only observed one minimum, visible in Fig. A.32, which does not allow us to set further constraints on its orbital parameters.

thumbnail Fig. A.31

The observed part of the minimum of SBL521 in the V passband.

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thumbnail Fig. A.32

Single observed minimum of the binary SBL574. The light curves were shifted to match in apparent brightness outside the minimum. B was then displaced by additional 0.1mag, U by 0.2mag.

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thumbnail Fig. A.33

Newly discovered eclipsing binary 097-240594. The secondary minimum is visible in the top panel, the primary minimum in the bottom panel, and the inlay shows a zoom to visualise the rising light curve towards the secondary eclipse.

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097-240594 has not been included in any of the above-mentioned previous observations of NGC 6231 since it is situated far away from the core of the cluster with a distance of about 13′. The designation we use here is taken from the UCAC3 catalogue. The light curves in B and V of this star are shown in Fig. A.33 and clearly reveal its nature as an eclipsing binary.

Two primary eclipses and one secondary eclipse have been observed, which are unfortunately about a month apart so that the orbital period cannot be determined unambiguously. The shape of the light curves point towards an Algol-type binary with a flat light maximum. A possible hot spot feature is visible just before the secondary minimum where the light curves show a slight but still well visible rise towards the eclipse. Also clearly visible is the different colour (i.e. surface temperature) of both components since the primary minimum is deeper in B compared to V and vice versa in the secondary minimum.

© ESO, 2013

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