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3. HR Car

3.1. The light curve of HR Car, 1889-1993

  figure273
Figure 1: The light curve of HR Car, 1889-1994 as a function of JD (minus 2440000). See the text and Table 1 (click here) for further explanation. Dates mark the beginning of the year

In Fig. 1 (click here) a century of photometry of HR Car = HD90177, 1889-1993, is put on one scale so that a clear overview of the long-term trend is possible. The same was done in Paper I for AG Car and S Dor. Since the colour index tex2html_wrap_inline1692 (of the UBV system) of HR Car amounts to 0.85 in the minimum and to 0.95 close to the maximum, the photographic observations are corrected by 09 assuming that blue-sensitive plates were used. See Table 2 (click here) for the global characteristics of the light and colour curves. The smooth continuous curve in Fig. 1 (click here) is a copy of Hoffleit's (1940) light curve, corrected (brightened) by 09. Dotted sections in the modern part of the light curve are not covered by observations. The abbreviations used in Fig. 1 (click here) are explained in Table 1 (click here). It appears that, on average, the visual light curves (Ba mv) and (A mv) are fainter than the tex2html_wrap_inline1586 light curve by tex2html_wrap_inline1698, but their general trends are the same as for the tex2html_wrap_inline1586 curve. The (Ba mv) light curve shows a dip not seen in the simultaneously observed parts of the tex2html_wrap_inline1586 curve. It seems that the dip is caused by some estimates of poor quality but, since the individual observations were not published, this cannot be checked. The continuous curve in the upper panel of Fig. 1 (click here) and the small portions in the lower panel represent the well-covered parts of the light curve. Small-amplitude features, tex2html_wrap_inline1704 with a time scale tex2html_wrap_inline1706, in the last part of the photoelectric light curve were smoothed away. They will be discussed in Sect. 3.3. The small piece of dot-dashed curve at the right of the upper panel is the extrapolation of the observed rising branch, probably the onset of a third high maximum around JD2430000. The brightness rise after JD2445000 is the start of another high maximum. From Fig. 1 (click here) it can be deduced that the apparent visual brightness varied over a range of 14 (between mv = 7.35 and 8.7) during the last 107y.

3.2. The time scales of the SD phases and the micro variations of HR Car until 1987

Following the results of the analysis of AG Car and S Dor in Paper I, we assume that LBVs exhibit two types of SD phases with different cycle lengths, the VLT- and the normal SD phases, presumably caused by two different pulsational modes.

According to this interpretation, the VLT-SD light curve of HR Car is the lower enveloping line touching the minima and roughly represented by the broken curve in Fig. 1 (click here). All features superimposed thereon are the normal SD phases. For AG Car and S Dor an unambiguous cycle length could be established for these normal SD phases (Paper I).

In HR Car the maximum amplitude of the VLT variation is of the order of 05, which is much smaller than for AG Car and S Dor (tex2html_wrap_inline1712). The peak-to-peak cycle lenghts (the observed high maxima in Hoffleit's photographic light curve) lie between 20 and 50 years, which compares very well with the VLT-SD cycles of AG Car (25y) and S Dor (35y). Normal SD phases cannot be studied in the Hoffleit (1940) data since only 200-d means were published.

The light curve after JD2444000 is not suitable for such an analysis, either due to its short time span (tex2html_wrap_inline1714) or its many time gaps. At the beginning, two normal SD phases with amplitudes tex2html_wrap_inline1716 were only partly observed; their total durations are between 2 and 2.7y.

  figure290
Figure 2: Detailed light and colour curves of the tex2html_wrap_inline1718 micro variations in the hump of the descending branch of HR Car's normal SD phase (with a maximum at JD2446250). Note that the magnitude scales for the colour curves are twice that for the light curve

The observed part of the descending branch of the last- mentioned SD phase, shown as a line segment running downward in Fig. 1 (click here), in reality has a small hump on which a few cycles of micro-variations are present with an average time scale of tex2html_wrap_inline1718 and amplitudes of at most 015. They are shown in detail in Fig. 2 (click here) and are based on the LTPV observations. Colour variations, with the exception of u-v, are absent. The u-v colour index is blue in the maxima and red in the minima (see also Sect. 3.3). Note that the magnitude scales for the colour curves are twice those for the light curves. A shoulder appears between JD2447000 and JD2447600 which is the precursor of a high broad maximum discussed in Sect. 3.3.

3.3. The fine structure and the photometric characteristics of the 1987-1994 maximum of HR Car

  figure298
Figure 3: The fine structure of the 1987-1994 light maximum of HR Car in tex2html_wrap_inline1586, the colour indices tex2html_wrap_inline1692 (scale at the right; derived from the Walraven V-B) and of the Strömgren system, and the blue and ultraviolet light curves of the Strömgren and Walraven systems sorted in order of effective wavelength (all in magnitude scale). Dates mark the beginning of the year

Figure 3 (click here) shows the detailed light and colour curves of the high maximum of HR Car between 1987 and 1994. There is excellent agreement between the various tex2html_wrap_inline1586 scales. The uncertainty in each data point is of the order of tex2html_wrap_inline1736. The tex2html_wrap_inline1692 curve (scale at the right) is based on the transformed V-B of the Walraven system. The b-y, v-b and u-v colour curves are in the instrumental system and were obtained by adding the average value of the comparison star A (= HD93010) to the individual values of variable minus star A.

Note that the magnitude scales for the colours b-y, tex2html_wrap_inline1692, v-b and u-v are twice those for the light curves. Individual data points were omitted in those parts of the curves where their number was too large and the scatter very low. These parts are piecewise represented by thin continuous lines. All these line pieces and scattered differential magnitudes were connected by dotted curves. The two framed sections in the tex2html_wrap_inline1586 curve consist partly of VBLUW observations. Those of the frame at the left (which is part of the "shoulder'' mentioned in Sect. 3.2) were discussed in detail by van Genderen et al. (1990). Those of the second frame higher up in the light curve are shown in detail in Fig. 4 (click here).

  figure306
Figure 4: The detailed light and colour variations of HR Car in the Walraven system (upper framed part of the light curve in Fig. 3 (click here)) relative to the comparison star and in log intensity scale (bright and blue are up)

The reddening trend during the 5 years of brightness rise after 1988, is typical for an SD phase. The range of the increase in brightness decreases towards shorter wavelengths, but is less extreme than for S Dor (Paper I) and R127 (Sect. 4) because the variation in temperature is smaller. In the light minima of 1981 and 1987 HR Car has a temperature tex2html_wrap_inline1760 (van Genderen et al. 1990), in agreement with the spectral type B4-5 determined by Shore et al. (1990). Temperatures in the minima of S Dor and R127 are at least 20000K. In the light maxima the temperatures cannot be much less than, say, 8000K (e.g. Wolf 1989), perhaps with the exception of R110 (Sect. 7).

Part of the shoulder shows two simultaneous types of micro-variations: a series of 20d micro-variations (blue in the maxima and red in the minima) with a light amplitude of 006 superimposed on tex2html_wrap_inline1558 micro-variations with amplitudes of tex2html_wrap_inline1764 (detailed light and colour curves in van Genderen et al. 1990). Note that these 20d micro-variations are half as short as the variations detected about two years earlier (Sect. 3.2). After about 500d the 20d variations disappear (with too few observations to check when and how this happened). The colour behaviour of the 100d variations is red when bright and blue when faint. (It should be noted that in the last-mentioned reference they were interpreted as short-lasting SD phases and were still called "SD eruptions'' but, as we proposed in Paper I, they should have been called "SD phases'').

At JD2447880, higher up in the ascending branch (see the detailed photometry in the VBLUW system in Fig. 4 (click here)), there is still a 20d hump (time scale uncertain due to the lack of observations prior to this hump) after which these short-time scale micro-variations are definitely absent; see the smooth tex2html_wrap_inline1558 curve in the right-hand panel of Fig. 4 (click here). Besides, there is now a clear tendency for the maxima in the light curve to become red. We shall see that the phase lag between light and colour curves is also, and very convincingly, present in nearly all of the 100d micro-variations of R127, R40 and R71 (see further in this paper). During its maximum S Dor also showed micro-variations with a time scale of tex2html_wrap_inline1558 (of which half showed a mixed colour behaviour, Paper I). Sterken (1977, 1981) and Sterken et al. (1991) also found this kind of micro-variation (quasi-period tex2html_wrap_inline1558) in the maximum of the LBV HD160529.


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