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Up: Linear polarization of a systems


Subsections

3 Results

We have obtained polarimetric data for 10 symbiotic systems whose main characteristics are included in Table 1. The results of our observations are presented in the Table 2 where we give for each object, in the different epochs, the average polarization in the UBVRI bands, in terms of the weighted mean values of the Stokes parameters PX and PY, the corresponding degree of linear polarization in percent $P(\%)$, the position angle in degrees PA, and the corresponding mean errors. The number of observations, N, is also indicated. Weighting according to the inverse square of the estimated error for each observation is applied. The estimated error is taken either from the least-square fit of the double cosine curves to the eight integrations in the different positions of the $\lambda$/2 plate, or from the photon statistics, whichever is greater.

The multicolour polarization data were used to determine the wavelength dependence of the degree of polarization and the position angle. In order to investigate whether the observed polarization is purely interstellar, or a significant contribution due to intrinsic polarization exists, we compared the observed spectral distributions of the polarization with that given by the Serkowski's law for the wavelength dependence of the interstellar polarization (Serkowski et al. 1975).

All the symbiotic stars were observed in different epochs and several of them show changes in the wavelength dependence of the polarization on time scales of days or months. Plots of the measured polarization vs. wavelength are presented for each star at the different epochs.


  \begin{figure}
{\includegraphics[angle=90]{ds9671f1.eps} }
\end{figure} Figure 1: V748 Cen: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

3.1 Results on individual objects

V748 Centauri

V748 Cen has been classified as a R CrB variable, with a photographic amplitude of about 2 mag and a period of 566.5 days (van Genderen et al. 1974). Optical and infrared photometry confirm that V748 Cen is an eclipsing binary and the orbital period is the same as the photographic one. During the eclipse the system becomes much redder, indicating the presence of an M4 giant as the occulting star. Outside the eclipse rapid brightness variations were observed by van Genderen. The presence of a shell absorption spectrum and of emission lines as well as several evident peculiarities in the light curve indicate a system in which shells and/or gas streams are present. Such gas stream is expected to flow from the M giant to the hot component through the inner Lagrangian point. It means that the hot component is seen through a dense region of the gas stream just before eclipse. H$\alpha$ and other lower Balmer lines are in emission with a strong central absorption component, characteristic to disk-like emission features.

V748 Cen was observed in July 1995, March 1996, August 1997 and April 1998 and there are no previous polarimetric observations of this object. Figure 1 shows the weighted mean values of the degree of polarization and the position angle as a function of wavelength and for the different observational runs. The amount of polarization changes with wavelength and a sharp increase of the degree of polarization to the short wavelengths was observed; this is typical for cool luminous stars, where polarization is produced by light scattering on dust particles in a circumstellar envelope. In July 1995 the amount of polarization increases to maximum values in the U and Bbands. In March 1996, the wavelength dependence of the polarization remained the same as it was in 1995, but the amount of polarization increased from 1.6 to 2.6 - 2.8% in the UB and from 0.3 to 1.3% in infrared. In August 1997 and April 1998, the polarization values in UB are intermediate between those corresponding to the two first epochs while in I they are similar to July 1995. In the Vand R filters there were no significant changes with time.

  \begin{figure}
{\includegraphics[angle=90]{ds9671f11.eps} }
\end{figure} Figure 2: V748 Cen: Percentage polarization (top) and position angle (bottom) as a function of orbital phases for the UBVRI filters

The position angle shows rotations over the observed spectral range between $38^\circ$ (July 1995) and $8^\circ$ (August 1997). For each wavelength the rotation along the time is $16^\circ$ in UBV bands and $7^\circ$ and $25^\circ$ in R and I bands, respectively.

The behavior of the polarization in V748 Cen can also be related with the orbital motion of the eclipsing binary, using the van Genderen et al. ephemeris,
${\rm Min(V) = JD\; 2\,441\,917 + 566.5} \;E.$
Figure 2 shows the polarization as a function of the phase. The percentage of polarization is greater in U and B, increasing from 1.5% in phase 0.48 to 2.8% in phase 0.56, when the hot component is moving towards the second quadrature suggesting that at least part of the polarization can be due to scattering of the light of the hot source due to the M giant envelope and the stream of material between the stars, such as it was proposed for CH Cyg by Piirola (1988a). If this is the case, around quadratures the line of sight is perpendicular to the line joining the stars and the scattering angles are favourable for producing a maximum of polarization, but unfortunately we have no observations at both quadratures.

  \begin{figure}
{\includegraphics[angle=90]{ds9671f2.eps} }
\end{figure} Figure 3: Hen 1103: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

At phase 0.91, before the primary eclipse when the cool giant is in front of the observer, the scattering angle is decreasing and a drop of polarization is observed.

Hen 1103

Hen 1103 was observed in July 1995, March 1996, August 1997 and April 1998 and our observations are the first polarimetric data of this object (Fig. 3). In July 1995 the degree of polarization reaches the minimum value in blue (0.6%) and then it shows a relatively smooth increase to the larger wavelengths with a peak in R of about 2.5%. The wavelength dependence is reversed in March 1996, i.e., the polarization reaches the largest value of 3.7% and decreases slightly to the infrared.

The position angle is the same in all wavelengths, around $35-40^\circ$ and there is no rotation in the BVRI range. However in July 1995 a rotation of $\sim 120^\circ$ between U and B is observed larger than the experimental error. This fact, i.e. the rotation over a small wavelength range, is a common phenomenon observed in other symbiotic stars cf. R Aqr (Schulte-Ladbeck 1985) and EG And (SLAMS). It has been suggested that the observed rotation might be explained by scattering of the light of the two components, a red one and a blue one, by the same circumstellar region close to the two stars.

KX TrA = Hen 1242

The rich emission-line spectrum of KX TrA resembles the one of the slow nova RR Tel (Webster 1966), in particular the evolution of the spectral excitation levels observed between 1965 and 1972 (Webster 1973). A wide range of ionization states for forbidden lines was observed, for example, [Ne V] and [Fe VII]. A light curve of KX TrA for the years 1889-1975 was given by Liller (1974), with quasi-periodic variations in B between 10.1 and 13.6 magnitudes. This object seems to have a slow-rising outburst every 10-15 years and major outbursts during this interval were not recorded.

SLAMS did not see evidence of an intrinsic polarization component in KX TrA from their observations carried out in July 1985 and April 1986. Moreover in two spectropolarimetric surveys (Schmid & Schild 1994; Harries & Howarth 1996) it was found that the amount and orientation of the continuum polarization outside the Raman lines $\lambda$6825 and $\lambda$7082 is small and practically constant in KX TrA.

  \begin{figure}
{\includegraphics[angle=90]{ds9671f3.eps} }
\end{figure} Figure 4: KX TrA: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

Our observations of KX TrA obtained during five observing runs, do not show any clear wavelength dependence of the polarization percentage neither of the position angle. The values are quite similar, within the error bars (Fig. 4), although it is worth noticing that the degree of polarization in I during May 1994 and April 1998 is $\sim$1.4% while in July 1995, March 1996 and August 1997 decreases to $\sim$ 0.9%.


  \begin{figure}
{\includegraphics[angle=90]{ds9671f4.eps} }
\end{figure} Figure 5: CL Sco: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

CL Scorpii

Kenyon & Webbink (1984) suggested that the low excitation symbiotic star CL Sco is a system similar to CI Cyg, containing a disk-accreting main sequence star. They found that the well observed optical minima of this system can be represented by the ephemeris:
${\rm Min(pg) = 2\,427\,020 + 624.7}\; E.$
For CL Sco we have not found any published polarimetric data. According to our observations shown in Fig. 5, at the time of the first observing run between July 6-11, 1995, CL Sco presented a decreasing trend in the degree of polarization with a peak of approximately 1.9% in the U band and the position angle showed an overall rotation between ultraviolet and infrared amounting to about $15^{\circ}$. Twenty days later, on July 27, the polarization increased in the red from 0.8% to 1.4% but changes in opposite sense were observed in the orientation with a rotation of $\sim20^{\circ}$.

In March 1996, the polarization degree increased in all spectral regions, particularly in B passband where it doubled with respect to July 1995 whereas the position angle remained constant at $\sim45^{\circ}$ in all wavelengths. In August 1997, the wavelength dependence is similar to the one of March 1996 but the values are smaller, specially in U and B where the polarization has decreased between 0.5 - 0.7%. Finally, in April 1998, the polarization shows a greater variation, increasing from $P(U)\sim 0.2\%$ to $P(R)\sim$ 0.9% whereas the position angle also shows a strong rotation between UB and V of about $40^{\circ}$. In general we can see that the ultraviolet and the blue light show the larger variations in the percentage of polarization and stronger rotations in the orientation.

The behavior of polarization vs. the orbital motion is shown in Fig. 6 and it seems to be very different from that of V748 Cen. The larger polarization is found at phase 0.05, when the components are in conjunction with the giant in front while near the first quadrature at phase 0.27, when the line of sight is perpendicular to the binary axis, a minimum in the polarization together with a strong rotation are observed. Between the phases 0.66 and 0.9 the ultraviolet polarization decreases but important information during the second quadrature is lacking.

  \begin{figure}
{\includegraphics[angle=90]{ds9671f12.eps} }
\end{figure} Figure 6: CL Sco: Percentage polarization (top) and position angle (bottom) as a function of orbital phases for the UBVRI bands

AR Pavonis

It is the first eclipsing binary discovered among the symbiotic stars (Mayall 1937). The characteristics of this system remain still elusive and several models have been proposed. According to Thackeray & Hutchings (1974) the system is constituted by a cool giant (M3-4 III-II) filling its Roche lobe and losing mass towards an evolved hot component. The eclipses seem to be due to the occultation of a dense part of a nebula surrounding the hot star rather than to a stellar body. Kenyon & Webbink (1984) modified this model suggesting that the hot component is a main sequence star with an accretion disk. The shape of the eclipses in the light curve was analyzed by Bruch et al. (1994) and AR Pav seems to be highly variable out of eclipse due to a modulation of the mass transfer from the red giant to the hot component. Skopal et al. (1997), re-analyzed the historical light curve (1888-1996) of AR Pav. During the quiescent stages the observations can be accounted for by a large accretion disk around the hot component but they proposed that at the outbursts an opposite mass flow from the hot component towards the cool giant occurs giving rise to a collisional emission region on the giant surface.

  \begin{figure}
{\includegraphics[angle=90]{ds9671f5.eps} }
\end{figure} Figure 7: AR Pav: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

SLAMS observed polarimetrically AR Pav on two occasions and considered this star as a borderline case. Our polarimetric observations were carried out during six epochs, July 1995, July 1996, July 1997, August 1997, April 1998 and June 1998. Important changes in the wavelength dependence are observed both in the percentage of polarization and the position angle, such as it is shown in Fig. 7. We can distinguish three kinds of the wavelength dependence. The first occurs in July 1995 and July 1996; it shows a polarization with a maximum in B and decreasing to red. On the contrary, the second one shows a minimum in B (July 97-August 97) and finally, the third one (April 98-Jun. 98) displays a high polarization in ultraviolet decreasing to V while the VRI bands show the smallest values of polarization. The position angle curves indicate slight rotations with the wavelength in each one of the four observation sets but in July 97 and April 98 strong rotations in U and B of more than $90^{\circ}$ are evident. The strongest temporal variations in the position angle correspond also to the Bband with a time scale as short as 54 days (July 97-August 97).

  \begin{figure}
{\includegraphics[angle=90]{ds9671f13.eps} }
\end{figure} Figure 8: AR Pav: Percentage polarization (top) and position angle (bottom) as a function of orbital phases for the UBVRI filters. The published values given by SLAMS are included at phases 0.19 and 0.88

Adopting the ephemeris given by Bruch et al. (1994):
${\rm Min = JD 2\,420\,331.3 + 604.5 }\;E,$
we analyse the polarization of AR Pav vs. phase in order to know if the complicate polarimetric behavior of this system is correlated with the orbital motion. First of all, the three quoted wavelength dependences concerning the percentage of polarization correspond to three different positions of the component stars with respect to the observer, namely the two conjunctions, before the first quadrature and before the second quadrature, respectively. We can see in Fig. 8 that the polarization reaches the highest values in UB(1.4 - 1.9%) in phase 0.92 (July 95) close to the eclipse, when the cool component is in front of the observer. At phase 0.53 (July 96), immediately after the second conjunction when the hot component is in front, another increase of polarization $\sim\, 1.5\%$ in UB is observed. Simultaneously, the orientation of the position angle at both conjunctions shows a rotation of $\sim40^{\circ}$. Moreover, at phase 0.60 (April 98) the polarization in VRI presents the minimum observed values, $\sim0.2\%$ when the hot star is going away from the observer. At phases 0.19 and 0.88 (SLAMS's data) the position angles in U are offset by $\sim40^{\circ}$ and $\sim90^{\circ}$ from the VRI bands respectively.

Khudyakova (1988) found that variations of polarization in CI Cyg and R Aqr reflect the orbital motion and the maxima lie near the conjunction when the hot component is between the cool star and the observer.

FN Sagitarii

This typical S-type symbiotic star has undergone two outbursts ( $\delta m \sim 4$ mag) in 1924-26 and 1936-41. Semiregular variations with smaller continuous fluctuations are superimposed (Kenyon 1986 and references therein). High-excitation emission lines of He II, [O III] and [Ne III] are present in FN Sgr; in addition, [Fe VI], [Fe VII] and the Raman scattering band at $\lambda6825$ have been reported by Barbá et al. (1992).


  \begin{figure}
{\includegraphics[angle=90]{ds9671f6.eps} }
\end{figure} Figure 9: FN Sgr: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

Our data were obtained in May 1994, July 9, 1995, July 27, 1995 and April 1998 and there are no previous polarimetric observations of FN Sgr. Conspicuous changes in the amount of polarization for all the wavelengths were observed, specially during the two sets of observations of July 1995 (Fig. 9). The maximum values correspond to 2.9% - 2.5% in UB bands on July 8 but after eighteen days the polarization suddenly decreases in all bands reaching 0.6% - 0.3% whereas rotations in opposite sense between UBV and RI bands were detected. These changes in the position angles were $\sim140^{\circ}$ on July 9 and $\sim40^{\circ}$ on July 27. In May 94 and April 98 the polarization presents a maximun in B ( $\sim 1.2\%$) and then decreases slightly to the infrared. The position angles are very similar during those epochs and a small rotation is detected along the wavelengths.

Visual magnitudes and V photometry collected in the period 1977-1998 (Belczynski & Mikolajewska, private communication) shows that the FN Sgr light curve presents systematic brightness decline with moderate periodic-like light changes, and one major amplitude started in 1995. In July 1995 we obtained the most remarkable variations in the polarimetric parameters in a short time scale of eighteen days. All our observations correspond to the large amplitude in the active state of the light curve.

Hen 1761

Hen 1761 is an infrequently studied symbiotic star. During the period 1990-1992 eruptive characteristics were detected in its spectra and the quiescence phase started in 1993 (Brandi et al. 1998).

SLAMS measured the polarization of Hen 1761 in the bands BVI and H$\alpha$. The results indicated that probably there is polarization, intrinsic to the object.


  \begin{figure}
{\includegraphics[angle=90]{ds9671f7.eps} }
\end{figure} Figure 10: Hen 1761: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

We carried out the observations in six different runs (see Table 2). The dependence of the polarization degree with the wavelength is not very conspicuous and the variations are inside the error bars. The most important variations take place on July 24, 1995 when the U-filter polarization decreases from $\sim$1.3% to 0.2% and the position angle rotates less than $30^{\circ}$(Fig. 10) in UB.

RR Telescopii

RR Tel underwent a nova-like outburst that started in 1944. It was classified as D-type symbiotic system; infrared observations show the presence of a Mira variable as cool component with long-period pulsations. As RR Tel has declined from light maximum, the optical spectrum has slowly developed high ionization lines. A rich emission line spectrum is superimposed on a weak continuum.

Many authors have observed RR Tel polarimetrically but contradictory results have been obtained. Schulte-Ladbeck & Magalhães (1987) found that RR Tel did not show intrinsic polarization. Spectropolarimetric observations of the emission lines at $\lambda$6825 and $\lambda$7082 as due to Raman-scattered O VI $\lambda\lambda$ 1032 and 1038 resonance lines were carried out by Schmid & Schild (1994); Espey et al. (1995) and Harries & Howarth (1996). The measurements of Schmid & Schild in the range 6700 - 7500 Å together with the polarization map of surrounding stars, allowed to infer that an intrinsic component of polarization was present in RR Tel. Moreover, the mean continuum polarization and position angle over the range 6400 - 7200 Å obtained by Espey et al., indicated that the continuum polarization is predominantly due to interstellar dust grains. The continuum polarization data given by Harries & Howarth showed a significant difference with the red region photopolarimetric measures given by Schulte-Ladbeck & Magalhães (1987) and Schmid & Schild (1994). This temporal variability was an evidence of intrinsic polarization in RR Tel.


  \begin{figure}
{\includegraphics[angle=90]{ds9671f8.eps} }
\end{figure} Figure 11: RR Tel: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs


  \begin{figure}
{\includegraphics[angle=90]{ds9671f14.eps} }
\end{figure} Figure 12: RR Tel: The polarimetric variations of RR Tel with the Mira phase. From top to botton the figures show the UBVR band polarization variations, The I-band polarization variations, the UBVR band position angle and the I-band position angle. We have included the polarimetric observations of RR Tel given by Schulte-Ladbeck & Magalhães (1987) in the UBVI-bands at phase 0.46; by Schmid & Schild (1994) and Espey et al. (1995) in the R-band at phases 0.03 and 0.57 respectively and by Harries & Howarth (1996) in the I-band at phase 0.79

As it is seen in Fig. 11, our multifrequency observations in October 1994 and July 1995 show the percentage of polarization with a slow decrease with increasing wavelengths. However, in August 97 the polarization presents an approximately flat wavelength dependence around 0.3 - 0.4% and it rises with the wavelength in April 98 from 0.5% in U to 0.8% in I.

The position angle in UBVR shows none or small temporal variations; the rotations in these filters are less than $\sim20^{\circ}$. However a conpiscuous behavior is seen in the I band where a change in the orientation of about $60^{\circ}$ between the first two and last two observation sets is evident. There is also a small rotation of $\sim15^{\circ}$ between October 94 and July 95. Consequently, we can confirm the existence of intrinsic polarization in RR Tel.

RR Tel is the only D-type symbiotic included in our sample with a Mira variable as cool component. An interesting point is to make a more detailed study of the temporal variation of polarization in this object, in order to find a correlation with the Mira phase such as it was found for R Aqr (Aspin & Schwarz 1988 and references therein); UV Aurigae (Khudyakova 1985, 1988) and $\rm o$ Ceti (Shawl 1975).

As it is quite normal for Mira variables, the light curve of RR Tel is not strictly repetitive over long timescales. Therefore, for the determination of phases, we used an epoch of maximum light obtained from JHKL photometric data collected by Feast et al. (1983) during 1975-81 and the period of 387 days. Figure 12 shows the variation of the degree and angle of polarization as a function of the phases. We have included the polarimetric observations of RR Tel given by Schulte-Ladbeck & Magalhães (1987) in the UBVI-bands at phase 0.46; by Schmid & Schild (1994) and Espey et al. (1995) in the R-band at phases 0.03 and 0.57 respectively and by Harries & Howarth (1996) in the I-band at phase 0.79. Inspection of the UBVR polarization variations are not consistent with the phase of brightness variation of the Mira, but the I-band however, presents the percentage of polarization with an increasing trend from the maximum light (phase 0.0) reaching the maximum of polarization (0.8%) around phase 0.5.

  \begin{figure}
{\includegraphics[angle=90]{ds9671f9.eps} }
\end{figure} Figure 13: CD $-43^{\circ }$14304: Wavelength dependence of linear polarization $P(\%)$(top) and position angle (bottom) for different epochs

This behavior with the light variations is in the same sense of R Aqr (Schwarz & Aspin 1988) but opposite to those of UV Aur (Khudyakova 1985) and $\rm o$ Ceti (Shawl 1974). The variable infra-red polarization modulated with the Mira phase indicates that at least one polarigenic mechanism in operation in RR Tel is intrinsic to the cool component and like the majority of late-type variable stars, the polarization can be explained by scattering by grains in asymmetric circumstellar nebula around the Mira. On the other hand, position angle for the I-band shows a total rotation of $\sim70-90^{\circ}$ with cyclic fluctuations with the phases which would correspond to changes in the effective scattering angle along the orbital motion. If this argument is correct and taking into account the distribution of the position angles with the Julian days, one can approximate an orbital period of $\simeq$ 10 yr for RR Tel.

CD -43$^{\circ}$14304

The published polarimetric observations of CD  $-43^{\circ }$14304 are spectropolarimetric studies of the Raman scattered emission lines at $\lambda\lambda$6825 and 7082 carried out by Schmid & Schild (1994) and Harries & Howarth (1996). The continuum polarization values in the red region presented by those authors are in agreement within the errors; no temporal variations were detected. Moreover, by means of the polarization map of surrounding field stars, they concluded that the continuum polarization at $\sim 7000$ Å for CD  $-43^{\circ }$14304 is probably dominated by the interstellar polarization. Our observations confirm the temporal invariance observed in the polarization in the V, R and I bands (see Fig. 13) but it is not the same for the ultraviolet and blue; there is a maximum of about 1% in July 95 and April 98 and the polarization falls to 0.5% or less during the other sets of observations. The wavelength dependence of the position angle seems to be variable along the time. Moreover, there are small rotations in the position angle among the different filters. A change between $20^{\circ}-30^{\circ}$occurs in all the wavelengths for different epochs and strong rotations of $\sim60^{\circ}$ in UB and $\sim30^{\circ}$ in BV are observed in April 98.


  \begin{figure}
{\includegraphics[angle=90]{ds9671f15.eps} }
\end{figure} Figure 14: CD  $-43^{\circ }$14304: Percentage polarization (top) and position angle (bottom) as a function of orbital phases for the UBVRI filters

Schmid et al. (1998) have obtained the radial velocity curve for the cool component in CD  $-43^{\circ }$14304 and an orbital period of 1448 days for circular orbit of the binary was determined. Using their ephemeris corresponding to the moment of maximum velocity,
${\rm JD(Max) = 2\,445\,929 + 1448}\; E,$
the orbital phases of CD  $-43^{\circ }$14304 observations were calculated and correlated with the polarization degree and position angle such as it is shown in Fig. 14. The larger polarization in U (1.1%) is seen at phase 0.45 before the quadrature when the giant is approaching to the observer and the line joining the stars is perpendicular to the line of sight. Simultaneously, remarkable rotations in U and B bands are observed. When the giant is in front of the observer (phase 0.75) the polarization in UB increases again to $0.91\ -\ 0.92\%$ but smaller rotations occur.

AG Pegasi

AG Peg is a well studied symbiotic binary which contains a normal M2 giant and a compact object. A nova-like outburst began in 1850 and a very slow decline has taken place since 1871. At the moment AG Peg may be close to the end of its outburst. The spectroscopic orbital period of the binary (800 days) was discovered by Merrill (1929a, 1929b) and spectroscopic orbits were also determined by Cowley & Stencel (1973); Hutchings et al. (1975); Slovak & Lambert (1988) and Garcia & Kenyon (1988). Belyakina (1970) showed that irregular 0.3 mag fluctuations in Vfollowed the spectroscopic period and that those variations of brightness could be caused by the reflection effect. According to this model, ultraviolet radiation from the hot component heats up the facing hemisphere of the giant, causing the cool star to radiate more energy when its heated hemisphere faces the observer. The photometric period was improved by Meinunger (1981); Belyakina (1985); Fernie (1985) and Luthardt (1990).

AG Peg was studied polarimetrically by other authors, Serkowski (1970); Piirola (1983); Schulte-Ladbeck (1985) and SLAMS. Variations in the intrinsic polarization were detected as far as the wavelength dependence and the time are concerned. In all the cases the polarization values were rather small, peaking $\sim$1% in B (Serkowski 1970) and large rotations of the position angle with wavelength were also observed, the most remarkable being 90$^{\circ}$ between 3699 Å and 6500 Å and 170$^{\circ}$ at 8000 Å (Aspin & Schwarz 1988).

  \begin{figure}
{\includegraphics[angle=90]{ds9671f10.eps} }
\end{figure} Figure 15: AG Peg: Wavelength dependence of linear polarization $P(\%)$ (top) and position angle (bottom) for different epochs

Our observations of October 1994 show polarization decreasing slightly with wavelength from a maximum of 0.4% in U to a minimum of 0.06% in R and I (Fig. 15). Similar behavior is observed in September 95 but in July 1995, although the data have relatively large uncertainties in this epoch; the wavelength dependence changes, increasing the polarization to 0.6% in R and 0.4% in I. In August 97 the polarization decreases until 0.06% in U but in the other filters the values are similar to those of October and September. In the different epochs a constant value of $\sim0.1\%$ in B band is observed. The position angle shows remarkable rotations. In October 94 a dip in R indicates a rotation of $\sim60^{\circ}$ between UBV and R and between R and I. In July 95 the rotation of $\sim90^{\circ}$ between UB and VRI is associated with an abrupt decreasing to 0.06% in the polarization. In September 95 is $\sim80^{\circ}$ between U and B whereas in the last data set of August 97 a small rotation of approximately 20$^{\circ}$ from U to I is observed. Such a large rotation in the position angle along the wavelengths has been already detected in AG Peg by other authors, as it was indicated above.

In particular and according to Daniel (1982), a change in the orientation by $90^{\circ}$ in the wavelength dependence was found indicative of the polarization reversal in bipolar nebula. AG Peg has an optical nebula (Fuensalida et al. 1988) and an extended and complex nebula detected at radio (Hjellming 1986; Kenny et al. 1991). The structure surrounding AG Peg detected in H$\alpha$ shows two lobes resolved at 5'' and 4'' from the central part in virtually opposite directions approximately NW-SE.


  \begin{figure}
{\includegraphics[angle=90]{ds9671f16.eps} }
\end{figure} Figure 16: AG Peg: Percentage polarization (top) and position angle (bottom) as a function of orbital phases for the UBVRI filters

The Fig. 16 shows our results of polarization as a function of orbital phase. We calculate the phases adopting Fernie's (1985) ephemeris,
${\rm Min(B) = JD 2\,442\,710.1 + 816.5}\; E.$
Unfortunately our observations are concentrated in the second half of the orbital cycle.

Taking into account the proposed model (Belyakina 1970), in October 94, phase 0.49 corresponds to the moment when the cool star is in front of the observer close to the conjunction with the other star. Here the ultraviolet polarization is more important and then decreases until phase 0.77 near the quadrature, where in all the wavelengths, the polarization reaches similar values (about 0.1%). An abrupt increase in the polarization, specially at U, R and I, is observed at phase 0.82 when the giant is going away from the observer. This fact is accompanied by bigger changes in the position angle. Finally, on September 95, at phase 0.92 the system is near the first conjunction, when the hot hemisphere of the giant is in front of the observer and the polarization decreases in UVRI bands. We can mention that although the blue polarization is nearly constant along the phases, it shows the strongest rotation of the position angle at phase 0.82.

It is very difficult to bring out conclusion about the behavior of polarization in AG Peg, as far as the wavelength dependence and the orbital motion are concerned. It seems that several polarigenic mechanisms are working producing different polarization in the ultraviolet, blue and longer wavelengths. Perhaps a superposition of mechanisms would give rise to such complicated results.


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