ACTA ASTRONOMICA
Vol. 0 (0) pp. 0–0
On the eclipsing cataclysmic variable star HBHA 4705-03
arXiv:1306.4462v1 [astro-ph.SR] 19 Jun 2013
A. Rutkowski 1 , T. Ak 2 , T. R. Marsh 3 , Z. Eker 4
1 Astronomical Observatory, Jagiellonian
University, ul. Orla 171, 30-244 Krakow, Poland
e-mail:a.rutkowski@camk.edu.pl
2
Istanbul University, Faculty of Sciences, Department of Astronomy and Space Sciences,
34119 University, Istanbul, Turkey
3 University of Warwick, Department of Physics, Coventry, CV4 7AL, UK
4 Akdeniz University, Faculty of Science, Department of Astronomy and Space
Technologies, 07058 Akdeniz University Campus, Antalya, Turkey
Received Month Day, Year
ABSTRACT
We present observations and analysis of a new eclipsing binary HBHA 4705-03. Using decomposition of the light curve into accretion disk and hot spot components, we estimated photometrically
the mass ratio of the studied system to be q = 0.62 ± 0.07 . Other fundamental parameters was found
with modeling. This approach gave: white dwarf mass M1 = (0.8 ± 0.2) M⊙ , secondary mass M2 =
(0.497 ± 0.05) M⊙ , orbital radius a = 1.418 R⊙ , orbital inclination i = (81.58 ± 0.5)◦ , accretion
disk radius rd /a = 0.366 ± 0.002 , and accretion rate Ṁ = (2.5 ± 2) × 1018 [g/s] , ( 3 × 10−8 [M⊙ /yr] ).
Power spectrum analysis revealed ambiguous low-period Quasi Periodic Oscillations centered at the
frequencies f1 = 0.00076 Hz, f2 = 0.00048 Hz and f3 = 0.00036 Hz. The B − V = 0.04 [mag]
color corresponds to a dwarf novae during an outburst. The examined light curves suggest that
HBHA 4705-03 is a nova-like variable star.
Key words: accretion, accretion discs - binaries: cataclysmic variables, stars: dwarf novae, oscillations, stars: individual: , HBHA 4705-03, 1RXS J221653.0+464804
1.
Introduction
Following Internet web sides of amateur astronomers we noticed a report by
Korotkii and Krachko (2006) on a new interesting variable. They found it is an
eclipsing binary. We decided to conduct observations of HBHA 4705-03 in order to
study this interesting object closer. Light curve of this star suggests it is a member
of cataclysmic variable stars group. Non-magnetic cataclysmic variable stars are
short-period binaries where a white dwarf primary is the accretor of matter from
a late-type Roche lobe filling secondary star via an accretion disk. The matter
from the secondary moves into the stream and collides with the matter stored in the
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vicinity of the accretion disk. A hot spot is formed in the region where the stream
strikes.
Cataclysmic variables (CVs) made a rather extensive class of objects characterized by a vast diversity of behaviours of their light curves (Warner 1995). There
are eruptive and non-eruptive members of CVs. These non-eruptive stars are called
nova-likes. First observations of HBHA 4705-03 suggest that it belongs to an unknown class of CVs. This previously unexplored object raised our curiosity, so we
decided to investigate it.
Most recently we have found than Yakin et al. (2013) presented their work dedicated to this object. They used photometric and spectroscopic observations, while
we used only photometry. They obtained qualitatively similar, however slightly different, result to ours. Since the data analysis in our study was based on a different
method than Yakin et al. (2013), we decided to present our results.
2.
Observations and reduction
Observations of HBHA 4705-03 were made on August 26 (2010). We used
Russian-Turkish 1.5-m telescope (hereafter RTT150) located at the TUBITAK National Observatory (TUG). SDSS g′ filter (λ0 = 475nm) was used during observations. This telescope can work for the photometry and the spectroscopy in two
distinct modes. Namely, the coude mode and the cassegrain mode can be used (for
detail see the official TUG webpage: http://www.tug.tubitak.gov.tr). We made observations in the Cassegrain mode using ultra-fast the ANDOR iXon DU-888 CCD
camera. The iXon DU-888 camera is equipped with back-illuminated 1024x1024
pixels CCD. The instrument is mounted in Cassegrain focus f = 1/7.7 and gives
∼ 4 × 4 arcmin field of view. This camera works in EMCCD (electron multiplaying CCD) mode, which reduce significantly readout noise effect at very short
exposure times. The CCD is cooled thermoelectrically to a temperature of −60◦ C.
The entire CCD array can be readout up to 8 times per second. When reducing the
readout region and binning rows, the exposure time can be reduced to ∼1 ms.
We used the following procedure for the data collection (compare with Revnivtsev et al. 2012). At first, a small sub-frame (1024x60 pixels) of the full CCD
was chosen. The variable star and a comparison star was inside this sub-frame.
After an exposure, this sub-frame is automatically binned to obtain a "one dimensional strip" of 1024x1 pixels. In this form the exposure is saved to a hard disk.
Above procedure allows to obtain exposures with the integration time of 0.0317
sec. The photometric measurements were made in a one-dimensional strip with a
fixed center. The aperture width was determined from the summed one-dimensional
brightness profile on the CCD. During nearly 7 hours of our observational run we
collected 769986 measurements of the variable star and its comparison object. Because of the large number of frames collected, the data was stored in a 3-D "data
cube" FITS file. In order to extract measurements from this 3-D format, we cre-
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ated a CCD Data Reduction routine working under the IDL1 . Intrinsic intensities
of HBHA 4705-03 were obtained by dividing the variable star fluxes over the comparison star. Comparison star (hereafter Comp A) is located at α = 22:16:47.42,
δ =+46:47:30.3. To obtain the apparent magnitude g′ , we assumed a linear change
in spectral flux distribution between B and V passbands. Then the g′ of Comp
A was interpolated. B and V magnitudes were taken form the Naval Observatory
Merged Astrometric Dataset (NOMAD1) (Zacharias et al. 2005) which is linked
with the SIMBAD astronomical database. This approach allows us to estimate the
magnitude g′ = 14.8 ± 0.5 of the Comp A.
In order to better understand the studied object we observed it on June 11, and
June 12, 2012 with the 1-m TUG telescope. Each observing run lasted ∼ 4.5 hours.
Observations were made mostly in the V filter but time to time we also used B and
I filters. This telescope has been designed for Ritchey-Chrétien optical system and
is equipped with the SI (Spectral Instrument) 1100 Series CCD camera. The whole
CCD chip includes 4096x4037 pixels and is cooled by closed cycle refrigeration
unit down to -100 C (http://www.tug.tubitak.gov.tr/t100_si_ccd.php).
During two nights of observations we collected 817 frames, with the average
exposure time 20 sec. We used the standard data reduction and aperture photometry
to analyse these data. The object located at α =22:16:54, δ =+46:46:04 was used
as a comparison star (Comp B).
Figure 1. presents an exemplary reduced frame where the variable and the
comparison stars are marked.
3.
3.1.
Light curve
Data from August 26, 2010 obtained with RTT150
We collected 769986 frames in the ’g” filter. The raw photometric data do not
reveal brightness modulation because of a high noise level. Due to the large number
of points we binned them with 20 second bands to increase the S/N ratio. The obtained light curve can be found in Figure 2. Average errors for these observational
points are close to 0.04 mag.
We detected two prominent minima with the amplitude ∼ 2.5mag. Before each
of the eclipses a prominent hump can be observed. This is a well known profile
for eclipsing cataclysmic variable stars. The mentioned humps are obviously the
manifestation of the hot spot located on the disk - stream intersection. The orbital
revolution causes reorientation of the hot spot and in consequence variations the in
the observed light curve. In addition, we can notice a prominent, intriguing toothshape modulation in the middle between consecutive minima. We do not have a
1 The
Interactive Data Language (IDL) is a proprietary software system distributed by Exelis Visual Information Solutions, Inc. (http://www.exelisvis.com)
A. A.
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Figure 1: Finding chart of HBHA 4705-03. The variable is marked by the V. The
comparison star (A) was used for the RTT150 telescope data, while the comparison
star (B) was used for the data gathered in 2012 with 1-m telescope. The chart gives
roughly 5.5’x5.5’ field of view.
14
14.5
g’ mag
15
15.5
16
16.5
17
17.5
0.25
0.3
0.35
0.4
0.45
HJD-2455435
0.5
0.55
0.6
Figure 2: Light curve of HBHA 4705-03 in the g′ filter obtained with the RTT150
on August 26, 2010
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14.5
15
V mag
15.5
16
16.5
17
17.5
0.35
0.4
0.45
0.5
0.55
0.6
0.5
0.55
0.6
HJD-2456090
14.5
15
V mag
15.5
16
16.5
17
17.5
0.35
0.4
0.45
HJD-2456091
Figure 3: Light curve of HBHA 4705-03 in the V band obtained in June 11 and 12
in 2012 with the 1-m telescope.
simple interpretation for this behaviour and we will return to this phenomenon in
Section 4.
3.2.
Data from June 11 and 12, 2012 obtained with 1-m telescope
Figure 3 presents the light curve obtained on June 11 and 12 in 2012. During
this run we used only the V filter to obtain the light curve, while B and I measurements were made only one time in order to check the color characteristic. The B
and V magnitudes of the comparison star B were taken from the NOMAD1 catalog,
while the I magnitude was taken from the USNO-B1 catalog. After calibration we
estimated magnitudes of HBHA 4705-03 to be 15.25 in B,15.21 in V and 14.03 in I
(the measurements were obtained close to date HJD=2456090.5661). The obtained
light curve presents a very good quality and in general the errors are around 0.005
mag. Again, there are visible obvious eclipses caused by transits of the secondary
which covers the accretion disk and the hot spot.
However, the tooth-shape modulation occurring between eclipses in the RTT150
data from 2010 are not visible in the data obtained with 1-m telescope in 2012.
Either this modulation is not present in the system during the 2012 run of observations or they are simply not visible in the V band. A temporal appearance and
disappearance of these tooth-shape variations would not be unusual. Many other
variable stars belonging to the sub-class of novae or nova-like objects change their
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curves in the similar way to HBHA. Our experience tells us that the light curve
variations can affect both its shape and the brightness.
3.3.
Orbital period of the system
One of the most important physical parameter which defines many others in
cataclysmic variable star is the orbital period. In the case of HBHA 4705-03, we
have only 4 determined eclipses over two years. This is simply not enough for the
standard Fourier analysis. Instead, we determined times of the minima by fitting
a polynomial function to each of the eclipses. Then we found periods between
detected minima in each year of observations. After calculation of the average of
the results from 2010 and 2012, we found that the period equals to 0.171867(59)
days. We interpret this value as the orbital period of the system.
4.
Frequency analysis of the RTT150 data
High time resolution of the RTT150 data gives us opportunity to conduct the
frequency analysis. As a tool we used the ZUZA code written by SchwarzenbergCzerny (1992). The orbital humps after maxima and eclipses were excluded from
the analysis. We examined two ranges of the light curve, i.e. between 0.27 − 0.33 d
and 0.41 − 0.51 d (see Fig 2). The obtained power spectrum is shown in Figure
4. We used the perort routine of ZUZA to obtain the AOV (Analysis of Variance Schwarzenberg-Czerny 1989) periodogram with two harmonics. The periodogram
for the data collected before the first maximum (the upper panel on Fig.4) shows a
prominent peak centered at the frequency f1 = 0.00076(7) Hz (solid curve). Doubled prewhitening procedure allowed us to remove low-frequency variations from
the light curve. Resulting periodograms shown by dashed and dotted lines in the
Fig. 4 present no other significant frequency. The power spectrum of the second range of data is presented on bottom panel of Fig 4. Here the situation is
different. Much more complex structure of the peaks can be noticed. Neglecting
low-frequency signal in the spectrum which is resulting from the imperfectly removed trend, we can measure two peaks at the frequencies f2 = 0.00048(3) Hz
and f3 = 0.00036(3) Hz. After prewhitening and removing low-level frequency
peak centered at the frequency 8 × 10−5 Hz with its three harmonics we got the
spectrum presented by the dashed line. Thus, we revealed an additional frequency
close to f1 which is also present in the data before the first minimum. It suggests
that Quasi-Periodic Oscillation (QPO) around f1 is persistent for the whole observational period – before and after the minimum. An ambiguous characteristic of
detected variability (in particular for long periods) do not allow them to be classified as Dwarf Nova Oscillations (DNOs) neither to common QPOs. However, this
type of variability – in analogy to the known characteristic of DNOs and QPOs in
dwarf novae (Warner & Woudt 2005) – suggests a high mass transfer rate during
the time of observations.
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140
120
100
f1 = 0.00076
80
60
40
20
0
600
500
f3 = 0.00036
400
300
f2 = 0.00048
200
100
0.0005
0.0010
Frequency [1/s]
0.0015
Figure 4: Power spectrum for the RTT150 data. Upper panel: the periodogram for
the data before the first minimum, i.e. between HJD = 2455435.27 and 2455435.33.
Bottom panel: periodogram for the data from observation period between HJD =
2455435.41 and 2455435.51. See text for detailed description.
5.
5.1.
Analysis of the eclipses
Decomposition into spot light curve and disk light curve
Detected eclipses in the light curve gave us a chance to find fundamental physical parameters of HBHA 4705-03. The most fundamental parameter is the orbital
period of the system which we estimated in Section 3.3. To derive other parameters, a more developed method must be used. After the intensive study of literature
dedicated to the problem of analysis of eclipse light curves of CVs (see the review
of Horn 1993) we decided to follow the approach by Smak (1994a,b). Introducing minor modifications into the orginal method we have decomposed the observed
light curve on the hot spot light curve and the disk light curve. This analysis gives
the best result for the shape of eclipse light curve which is described by the standard
model of a cataclysmic binary with stationary accretion. For short, this model predicts approximately constant brightness of the system during roughly one-half of
the cycle and orbital hump, which occurs in the phase interval from about φ = −0.4
to about φ = 0.1. Particularly important from the point of view of the assumed
methodology is the fact that the declining part of the orbital hump is still clearly
visible after the eclipse.
Analysis of the light curve from 2010 did not give satisfactory results. Evidently the shape of the eclipse which is far from the "standard" case made it impos-
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sible to obtain the reliable result. Thus, we decided to obtain an additional observations of the studied object. We used the data gathered from the 2012 campaign
to produce phased eclipse with minimized flickering. Results of this approach are
presented in the Fig. 5. One can notice a clear shape of the hot spot light curve.
Four phases of contact (φ1 , φ2 , φ3 , φ4 ) can be determined with relatively good accuracy which is estimated as ±0.003 in phase units. Those phases are marked by
vertical lines in the Fig. 5. Although, the presence of the flickering is still visible
in the light curve, the shape of the uneclipsed part of hot spot light curve agrees
quite well with the theoretical formula presented in Paczyński & SchwarzenbergCzerny(1980, Eq.4)
l(φ) = ls,max [1 − u + u cos(φ − φmax )] cos(φ − φmax ).
(1)
Used symbols denote: ls,max - the hump amplitude, u is the limb darkening coefficient (for which we adopt u = 0.6) and φmax is the phase of hump maximum. Table
1. presents the fitting parameters of this function:
Table1
Hump parameters and phases of contacts for the hot spot fitting in HBHA 4705-03
ls,max
0.382
φmax
-0.052
φ1
-0.078
φ2
-0.035
φ3
0.093
φ4
0.107
Reconstructed disk light curve is also well defined. However, its shape is not clearly
symmetric. Most likely two effects play a role here: flickering and the complex
structure of the disc, especially non uniform distribution of the surface brightness.
We should also take into account that it may not be the case of stationary accretion.
Even so, we do not have much more other ways to estimate the mass ratio of the
system. Despite the danger of contradiction between the possible non-uniformity
of the disk and the assumption of the stationary accretion we hope at least for crude
estimation of the M1 and q.
5.2.
Model analysis and assumptions
One of the most serious issues regarding light curve model analysis is the problem of appropriate assumptions. One have to find the way to collect as many starting parameters as possible. In Sec. 3.3, we derived the first one – orbital period.
The second parameter which affects the other parameters is the stellar components
mass ratio. Here we used the convention q = M2 /M1 , where M2 is the mass of the
donor and M1 is the mass of the white dwarf. Following Smak’s approach (Smak
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1.4
hot spot
disk
observational data
1.2
1
0.8
0.6
0.4
0.2
0
φ1
φ2
φ3
φ4
-0.2
-0.2
-0.15
-0.1
-0.05
0
phase
0.05
0.1
0.15
0.2
Figure 5: Decomposition of the HBHA 4705-03 light curve into spot and disk components. The observed light curve is shown by crosses. Dots indicate reconstructed
spot light curve. The theoretical spot light curve outside the eclipse are presented
by dashed line. The solid curves are the model light curves corresponding to the
disk light solution (upper) and the spot light curve solution (bottom). Vertical lines
indicate four moments of eclipse contacts.
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10
1994) we did not assume value of the mass ratio q but instead, we check a wide
range of parameters in order to estimate it. Knowing masses and the orbital period
we can derive the orbital semi-major axis a via the Kepler Law.
Cataclysmic stars obey the well know relation between the orbital period and
the mass of the secondary, M2 = f (P, M1 ) Patterson (1984). This allowed us to
estimate the mass of the secondary to be M2 /M⊙ = 0.4970. The temperature of
the secondary was derived with the following formula taken from Popper (1980):
log T = 3.760 + 0.633 log M2 /M⊙
(2)
We assumed that the relative luminosity of the white dwarf (WD) is small and
WD itself is obscured by internal regions of the accretion disk. Based also on the
other works (e.g. Sion 1991) we adopted here the standard temperature of the white
dwarf which is suitable for such a system, T1 = 30000 K. At this point, we need
to add that the final fit barely depends on the assumed temperature. The radius
of the primary can be determined from the theoretical mass radius relation (e.g.
Nauenberg 1972, Provencal et al. 1998) for white dwarfs. The surface brightness
distribution of the component in a given passband is a function of temperature and
limb darkening u. Here we adopt the standard value of the linear limb darkening
coefficient, u = 0.6, for WD and disk components. For the secondary we assumed
that this coefficient is equal to 0.3. We also assume the standard temperature profile
for a flat disk Td ∼ R−3/4 .
Therefore, the starting point for the modeling was the following set of parameters: M1 , M2 , R1 , a, u1 , u2 , udisk , T1 , T2 . We also assumed that the secondary
fills its Roche lobe and the hot spot is located on the edge of the accretion disk. As
a useful tool for modeling we used the LCURVE program written by Tom Marsh.
Decomposition of the light curve allowed us to analyze the disk and the hot spot
components separately. Starting from the modeling of the disk light curve we have
tested different masses of the primary (from 0.4M⊙ to 1.4M⊙ ). Here we modeled
only the inclination of the system, the radius, and the temperature of the accretion
disk. Based on the knowledge on vertical structure of the disk, we assumed the most
probable value of the disk thickness. The average mass transfer rate for a nova-like
variable was found to be ∼ 9.3 × 10−9 M⊙ yr−1 (e.g. Puebla et al. 2007, Ballouz
et al. 2009). Using the analysis made by Smak (1992) we adopted z/R ≈ 0.063 in
our models. When testing this assumption, we noted that changing z/R in a rather
wide limit (from 0.63 to 0.1) change the system inclination noticeably. On the other
hand the disk radius is changed barely.
Similar modeling was conducted for the spot light curve. We assumed that the
radius of the accretion disk is the same as the distance of the white dwarf to the
hot spot, i.e. the hot spot is located on the accretion disk edge. Initial parameters
for this step of analysis (like the temperature of the accretion disk and the system
inclination) was taken from the disk light curve solution.
Both model analyses described above give a family of solutions for different
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0.45
r/a
0.4
0.35
0.3
0.4
0.6
0.8
1
1.2
1.4
MO•
Figure 6: The mean rd /a = f (M1 ) relation from disk light solutions is shown by
solid lines. The upper and the bottom lines show rd /a determination errors. Dotted
lines represent rs /a = f (M1 ) relation for spot light solution (rd represent the outer
radius of the disc and rs is the distance of the hot spot to the white dwarf). Oblique
cross shows the final solution for M1 and rd /a. Its possible uncertainty is presented
by the shady region.
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assumed M1 . Figure 6 presents the relations of the accretion disk radius to semimajor axis ratio versus the the primary mass obtained both from the disk light
curve solution (rd /a = f (M1 )) and the spot light curve solution (rs /a = f (M1 ))
presented by the solid and dotted lines, respectively. Placing both families of the
solutions on one graph we obtained a shady region presenting possible values of
M1 . The black cross indicates the center of the found zone and the most likely
value of M1 and rd . Moreover, the obtained synthetic disk and spot light curves
are presented in Figure 5. Turning our attention to disk light curve we can notice
that the fit for is very good in the center, however, less perfect in the ”wings”.
Systematically fainter model disk light curve suggests the higher temperature of
the outer regions of the accretion disk. Not strictly smooth observed disk light
curve suggests a non uniform structure of the disk which is very difficult to model.
The resulting model of the spot light curve seems very good, though. This model
differ very little from the theoretical relation given by Paczyński & SchwarzenbergCzerny (1980).
6.
Results
Disk/spot light curve solutions provide the following parameters for the system
M1 /M⊙ = 0.8±0.2, M2 /M⊙ = 0.497±0.05, a = 1.41821R⊙ , rd /a = 0.36±0.02,
i◦ = 81 ± 0.1. Those parameters were taken as initial parameters used later for
the overall observational light curve modeling. LCURVE code allowed us then to
model HBHA 4705-03 including four components: the white dwarf, the secondary
star, the accretion disc and the hot spot created at the place where the stream hits
the edge of the disk.
The mass ratio was fixed to be 0.62. The rest of the parameters (except those
assumed in section 4.2) were obtained using model analysis. The best fit of the
light curve solution in this approach is presented in Fig. 7. Generally, the synthesized light curve agree quite well with the observed light curve of the eclipse.
Table 1 presents parameters of the best fit solution and Fig. 7 shows its graphical
representation. Simplex minimization method was used at first to find the global
minimum. Next, the Levenberg-Marquardt method (Levenberg 1944, Marquardt
1963, see also Bates 1988) was used to obtain the final solutions by the levmarq
routine. Once the optimal curve-fit parameters were determined, their errors were
deduced from the parameters the covariance matrix.
6.1.
Comparison with Yakin et al.
Comparison of our results with those presented by Yakin et al. (2013) suggest
that one should treat both results with caution. The main problem in the modeling
of the light curves is the correct estimation of the mass ratio of the components and
the inclination of their orbit plane. Theoretical relations allow to estimate M2 with
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Table 2
Resulting parameters of HBHA 4705-03
M1 /M⊙
M2 /M⊙
a [R⊙ ]
i[◦ ]
t1 [K]
t2 [K]
rd /a
Ṁ[g/s]
=
=
=
=
=
=
=
=
0.8 ± 0.2
0.497 ± 0.05
1.41821 (calculated)
81.58 ± 0.5
30000 (assumed)
3696 (calculated)
0.366 ± 0.002
(2.5 ± 2) × 1018 , (3 × 10−8 M⊙ /yr)
1.2
relative V-band flux
1
0.8
0.6
0.4
0.2
-0.4
-0.3
-0.2
-0.1
0
phase
0.1
0.2
0.3
0.4
Figure 7: Comparison between the observational data of HBHA 4705-03 and the
best fit found with the LCURVE code (solid line)
statistical good accuracy. So, the main parameter to be determined is the white
dwarf mass. We found M1 = 0.8 ± 0.2M⊙ . The error of this measurement gives
a wide possibility of the modification for the other parameters. For example, if
we adopted M1 = 0.6M⊙ , then this value would agree with M1Y = 0.54 ± 0.1M⊙
found by Yakin et al. The rest of the parameters would change accordingly to the
mass ratio. One should also remember about the six-year time difference between
the observations of Yakin et al. and ours. In particular, for that reason, the disk and
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the hot spot parameters can be significantly different and can bias the rest of the
parameters obtained from the model analysis.
7.
Conclusions
Part of the below conclusions was already introduced in the abstract of this
article. The observations of the new discovered variable star HBHA 4705-03 in the
years 2010 and 2012 were presented. We were able to decompose the observed
light curve into the hot spot and the accretion disk components. The eclipse of the
hot spot is clearly visible. Model analysis of the both of light curve components
separately allowed us to find intrinsic parameters for the disk and the spot. After
combining these two solutions, we were able to find the mass ratio of the system
and the accretion disk radius. At this point we had enough data to find the remaining
global parameters. We detected uncommon variability with the period in the range
from ∼20 to ∼50 minutes. Moreover, the LCURVE code allowed us to find the
overall synthetic light curve of the system, including all major components i.e. the
white dwarf, the red dwarf, the accretion disk and the hot spot.
7.1.
Classification of HBHA 4705-03
The shape of the light curve and the found parameters like the orbital period,
the accretion rate, the component masses and the B − V color, help us to made a
classification of this object. Moreover, although there are no long-term light curves,
eclipse light curve and spectra in this study combine with Yakin et al. (2013) may
be very helpful to find the type of HBHA 4505-03.
As the orbital period of HBHA 4705-03 is very close to 4 hr, we focus on the
CVs with period between 3 and 4 hr which are right at the upper edge of the period gap. In this period range, there are a lot of nova-like stars characterized by
an approximately steady, high rate of mass transfer. In addition, nova-like stars
with orbital periods between 2.8 and 4 hr are classified as SW Sex stars. These
stars were first defined by Thorstensen et al. (1991). Observational features of
SW Sex stars are summarized by Hoard et al (2003). They are high mass transfer
rate nova-like stars. In the optical light curve of SW Sex stars, the white dwarf
and the accretion disc are deeply eclipsed by the secondary star. This shows that
their orbital inclination angles is higher than 80 ◦ . However, there are non-eclipsing
SW Sex stars (Schmidtobreick et al. 2012), as well. They display high excitation
spectral lines, including He II λ4686 emission, which strength is often comparable
to the strength o H lines. They show single-peaked emission lines in their spectra
rather than double-peaked ones expected from a near-edge-on accretion disc. The
Balmer and He I emissions are only shallowly eclipsed compared with the continuum emission. The zero crossings of their emission-line radial velocities present
phase offsets relative to their eclipse ephemerides.
At first glance HBHA 4705-03 can be considered as a nova-like star since its
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mass transfer rate is very high compared to dwarf nova. In addition, this system
exhibits many features similar to SW Sex stars. White dwarf and accretion disc of
the system is deeply eclipsed by the secondary star. This is evident as its inclination
angle is found about 81 ◦ in our study. Optical spectra of HBHA 4705-03 are presented by Yakin et al 2013. In its optical spectra, He IIλ emission line is prominent
and its strength is comparable to H lines. Emission lines in its spectra are singlepeak and the zero crossing of the radial velocity of He Iλ4921 emission line shows
a phase offset comparing to its eclipse ephemerides. These features demonstrate
that HBHA 4705-03 can be a member of SW Sex class of the nova-like-type CVs.
Acknowledgements. The project was supported by Polish National Science
Center grant number DEC-2012/04/S/ST9/00021 awarded to AR. We would like
express our gratitude to Excellence Cluster Universe, Technical University, Munich for purchase of the iXon CCD camera. This work was also supported by the
TUBITAK Programs 209T055 and 09ARTT150-427. The authors would like to
thank I. Khamitov and A. Tkachenko for their help during the observations. We
thank Stanisław Zoła, Wacław Waniak and Magda Otulakowska-Hypka for a careful reading of the manuscript and their useful suggestions.
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