next previous
Up: Photoelectric photometry and

4. Analysis and interpretation

An attempt to describe the nature of the stars will now be made. An exhaustive period analysis of the available data has been made and the most likely frequencies have been established by different methods. Also, tex2html_wrap_inline1741 photometry has been secured and, from it, physical parameters such as tex2html_wrap_inline2017 and log g for the stars can be extracted.

 

physical param KW 045 KW 154 KW 204 KW 207 KW 323 KW 445
Mv 1.96 2.19 0.50 1.24 1.62 1.76
tex2html_wrap_inline2023 1.84 2.09 0.38 1.10 1.74 1.90
tex2html_wrap_inline2017 3.89 3.88 3.89 3.90 3.89 3.90
tex2html_wrap_inline2027 3.80 4.00 2.90 3.75 3.75 3.75
Q 0.013 0.025 0.009 0.014 0.012 0.016
pulsat mode 3H 1H 3H/? 3H 3H/? 3H
Table 13: Physical parameters of the Delta Scuti star considered

 

Cluster membership was established with the advantages of the Strömgren photometry of the cluster by Crawford & Barnes (1969) and the UBV photometry by Johnson (1952), a calibration by Nissen (1988) which follows previous calibrations by Crawford (1975, 1979) for the A and F stars and by Shobbrook (1984) for early type stars which have been already employed in previous analysis of open clusters (Peña & Peniche 1994). From the distance to the stars evaluated, a mean distance and standard deviation was calculated; the criteria for membership was established as the distance within one sigma of the mean. (tex2html_wrap_inline2033 pc); this criteria is fullfilled by 48 stars. Once this was done, average parameters such as reddening (tex2html_wrap_inline2035 mag), and chemical composition, ([Fe/H] = 0.068 tex2html_wrap_inline2037 0.1191) were determined. The assigned membership for five of the observed stars is in agreement with the above mentioned criteria and with the membership probability assigned by Jones & Cutworth (1983) from proper motion studies.

Once the reddening has been determined it was possible to calculate the unreddened colors (b-y)0, m0 and c0. Then, the location of each star was fixed at the (b-y)0 vs. c0 diagram of Relyea & Kurucz (1978); from it, the surface temperatures and gravities, log tex2html_wrap_inline2049 and log g, were determined for each star. Another way in which this latter quantity can be determined is through the calibrations of Petersen & Jorgensen (1972) or by the calibrations of Pérez et al. (1989). A comparison of the values determined from the three calibrations yields the following results: A fair agreement is found between the values determined by Petersen & Jorgensen (1972) prescription with that of the Relyea & Kurucz (1978) diagrams. The linear regression for these sets is of 0.94. The mean of the differences is 3 K with a standard deviation of 52 K A larger systematic difference is found from the aforementioned temperatures from those derived from Pérez et al. (1989). The mean of the differences is 1788 K with a standard deviation of 458 K. However, since the temperatures of Perez do not correspond to those deduced for their spectral types the final consideration for the temperatures were those of the diagrams of Relyea & Kurucz (1978) deduced from the original Strömgren photometry. The values considered for each star are listed in Table 13 (click here). The bolometric correction for each star was taken from the compilation of Lang (1991) through the log tex2html_wrap_inline2049 values already mentioned. With this, tex2html_wrap_inline2023 for each star was calculated.

The pulsation mode is determined from the well-known relation (Petersen & Jorgensen 1972; Breger 1990) in which the main period for each star determined in the past sections was taken.


displaymath2057
The results derived in the present paper are still in agreement with the basic conclusion of Breger (1980) that "it is interesting to speculate that the preference for the second and third overtone may be connected with the position of the star in the hot part of the instability strip, where theoretical models have predicted pulsation in overtones (Stellingwerf 1979)". The numerical values obtained are also in agreement with those previously determined. For example, negligible reddening has been found (Crawford & Barnes 1969), and a distance modulus of 6.166 was determined (Nicolet 1981; Anthony-Twarog 1982)

The age of the cluster has been fixed after establishing physical characteristics such as log tex2html_wrap_inline2049 and log g for each star in the theoretical grids of Relyea & Kurucz (1978). The location of the hottest stars in the evolutionary tracks of VandenBerg (1985) agrees with his own conclusion that the isochrone that best describes the position of the stars is that of tex2html_wrap_inline2063 yr for a metallicity of Z = 0.169. It should be remarked, however, that KW 204 and more pronounced KW 154 do not lie in this track. From models of Iben (1967), Tsvetkov (1989) determined ages for each of the variables but the spread of the ages is large, of 12.64 108 yr, with KW 204 much younger than the rest. On the other hand, from the models of Paczynski (1970), also reported by Tsvetkov (1989), the ages of all the stars are practically the same, around tex2html_wrap_inline2069yr. The same result is also found for all the stars if more recent models, those of Meynet et al. (1993), which consider overshooting, are utilized but with a higher value of tex2html_wrap_inline2071 yr. The compilation of Lang (1991) lists tex2html_wrap_inline2073yr for Praesepe.


next previous
Up: Photoelectric photometry and

Copyright by the European Southern Observatory (ESO)