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5. R40

5.1. The light and colour curves of R40, 1957-1994

R40 = HD6884 was discovered as an S Dor variable or LBV by Szeifert et al. (1993). The spectral type at minimum light around 1960 was B8Ie (Feast et al. 1960). Table 2 (click here) lists the global characteristics of the light and colour curves.

  figure362
Figure 7: The schematic light and colour curves of R40, 1985-1994. The insert shows the schematic light curve, 1957-1994

Figure 7 (click here) shows the light and colour curves of R40 covering the time interval 1985-1994. The colour curves b-y, v-b and u-b (note: not u-v) are relative to the two comparison stars A and B in the sense variable minus tex2html_wrap_inline1878. The error in brightness and colours is of the order of tex2html_wrap_inline1736.

The insert shows the schematic light curve tex2html_wrap_inline1586 for the time interval 1957-1994. The dots are the scattered observations collected from the literature by Szeifert et al. (1993) and the smooth curve represents the underlying light curve from the large diagram. The data sets separated from each other by gaps in time are numbered 1-10. Brightness and colours have the same magnitude scales.

Smooth curves have been sketched through the forest of schematically indicated micro-variations (tex2html_wrap_inline1586 amplitudes tex2html_wrap_inline1764; time scale 1-3 months). Visual observations by A. Jones (for a description, see Sterken et al. 1996b) during the same time interval have a scatter of tex2html_wrap_inline1892 and globally show the same trend as the tex2html_wrap_inline1586 curve. According to Jones' observations which continue until the end of 1995 (ours run only until the end of 1994), the brightness still rose another 01. There is excellent agreement between the tex2html_wrap_inline1586 of the LTPV project made with filter systems 6 and 7 and the tex2html_wrap_inline1586 transformed from the Walraven V. However, there is a systematic difference between the latter and the observations made with filter system 8 of the LTPV project. This follows from observations made simultaneously on 13 nights. The correction applied to the filter 8 magnitudes equals tex2html_wrap_inline1902.

The behaviour of brightness and colours from 1985 to 1994 is again typical for an SD phase: the colours become redder, especially in the u-b colour index which reddens by tex2html_wrap_inline1716, while the rise in the visual was only 06. Thus, it appears that by the time the tex2html_wrap_inline1586 curve has reached the top of the ascending branch, the u magnitude has dropped nearly to its minimum value. If this behaviour is typical for LBVs, as shown by S Dor, HR Car and R127, it suggests that at the end of our ascending branch, R40 is close to its visual maximum.

5.2. The time scales of the SD phases and of the micro variations of R40

Figure 7 (click here) and its insert show that R40 underwent a low amplitude maximum of tex2html_wrap_inline1556 between 1957 and 1982. It is not clear whether this should be classified as a VLT- or a normal SD phase, although the duration is 25y, which is the typical time scale for VLT-SD phases of several other LBVs. Then, after a shallow dip, the star brightens very steeply by 06 to tex2html_wrap_inline1916 within 7y. The only magnitude known prior to 1957 is the photographic magnitude in the HDcatalogue: 107, based on plates taken at the end of the tex2html_wrap_inline1918 century. Thus, knowing that in minimum R40 has a B type spectrum and that the interstellar extinction is relatively low (Szeifert et al. 1993), the visual magnitude should then also have been about 107 at the end of the 19th century.

Since the observations of R40 are very numerous, we performed a period search (with Sterken's (1977) algorithm) of the tex2html_wrap_inline1586 data for the data sets 1-4, 5-7 and 8-10 separately, corrected for the increasing brightness of the SD phase with the aid of the curve sketched in Fig. 7 (click here). Since the micro-variations are superimposed on a progressively increasing mean brightness, it is of interest to study a possible change of the period, i.e., whether R40 shows a similar switch between the two types of micro-variations like HR Car and R127. Further, one would expect that, if the brightness rise were solely due to the expansion of the star, the pulsation period changes smoothly as a result of the decrease of the mean density.

The search made between 35d and 150d yielded as best periods: 462, 935 and 983 for the three data sets, respectively.

Thus, the change is relatively small, only a factor two, and obviously not smooth at all. The period change is rather abrupt and appears to happen within a time gap of tex2html_wrap_inline1928. As in the case of HR Car and R127 (Sect. 4.2) it is difficult to see how this change could be due to a change in stellar radius only.

  figure376
Figure 8: The phase diagram for the light and colour curves of the micro-variations of R40 in data set 1-4 for a period of 462. The tex2html_wrap_inline1586 curve also contains the results of the Walraven system; the colours are from the Strömgren system only

Separate phase diagrams were constructed for the three data sets. Figures 8 (click here), 9 (click here) and 10 (click here) show them for sets 1-4, 5-7 and 8-10 with periods of 462, 935 and 983, respectively, for tex2html_wrap_inline1586 and the Strömgren colours b-y, v-b and u-b relative to the two comparison stars.

  figure384
Figure 9: The same as Fig. 8 (click here), but now for data set 5-7 and a period of 935

Some conclusions from Figs. 8 (click here)-10 (click here) are as follows:

  1. The colour variations are such that in the light maxima the colours are blue for set 1-4 and red for the other two sets. The first type of phase-dependent colour variation is obviously of the type exhibited by all short-time scale micro-variations of LBVs near minimum brightness. The sudden change in colour behaviour after sets 1-4 must be related to the change to another variability mechanism with a time scale of about 100d as for the other LBVs investigated near maximum brightness.
  2. The scatter around the mean curves, when larger than tex2html_wrap_inline1736, is of intrinsic nature and is largest for tex2html_wrap_inline1586. That is, there is a large variation in the light-curve shape from cycle to cycle. Evidently, a variety of time scales may be involved and more data might show complex periodicities.

    The scatter in the u-b curves is significantly larger than that in the b-y and v-b curves, pointing to additional fluctuations in the Balmer continuum and Balmer jump. We suspect that this may be caused by non-thermal photospheric velocity fields (like in the LBV HD160529, studied by Wolf et al. 1974) and/or by atmospheric turbulence (van Genderen 1991). A large intrinsic scatter in colour indices which include an ultraviolet pass band has also been noticed in the behaviour of other tex2html_wrap_inline1964 variables observed in the Walraven system (van Genderen 1991).

  figure396
Figure 10: The same as Fig. 8 (click here), but now for data set 8-10 and a period of 983


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