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Southern Cross - March 1998 |
HDE 331015: A short period eclipsing binaryLen Williamson and Peter Williams In the 1996 March issue of the Southern Cross a note was published of the discovery of a new variable star. The discovery arose from examination of routine patrol photographs made by Paul Camilleri of the Nova Search organisation. One of us (P.W.) confirmed the finding and suggested that the object was an eclipsing binary. Based on photographs taken in 1990/1991 Paul Camilleri had suggested the period was 210 days. In May of that year the Southern Cross published another note advising that it had not been possible to confirm the 210 day period. However as more estimates were made by the group - a part of the Royal Astronomical Society of New Zealand variable star section - it was found that the period between eclipses was very much shorter. All attempts to predict the times of eclipses were unsuccessful. In March 1997 a further paper was published in the Southern Cross which embodied all the accumulated estimates of the group which now included Albert Jones in New Zealand. As it later turned out, since the night skies over Nelson were more often clear, Albert's estimates were to prove most valuable in elucidating the period and duration of eclipses. From the raw data given in the 1997 paper one of us (L.W.) worked on the figures and found that a period of 9.5 days appeared to fit reasonably well {see Table 1}. However there was some evidence to suggest the period was shorter. Could it be a fraction of 9.5 days such as 4.75 days? The only way this could be settled was to predict a series of eclipses and hope that clear skies would allow estimates to be made.
Table 1: Eclipses of HDE 331015
Correlation with different periods
Dates of eclipses Interval Possible Deviation from exact fit for
J.D.+ 2450000 Days number of periods of:
eclipses 9 days 9.15 days 9.5 days
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199 - 246 47 5 -2 d. -1.25 d. +0.5 d.
246 - 312 66 7 -3 d. -1.95 d. +0.5 d.
312 - 321 9 1 0 -0.02 d. +0.5 d.
321 - 340 9 2 -1 d. -0.7 d. 0
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In the early evening of the 4 June 1997 an eclipse was seen by several experienced observers to reach totality at 20.00 hrs. This gave a Julian Date of 2,450,603.9165. In Table 2 multiples of 4.7 and 4.8 days have been added to this time to give two times for 11 predicted events.
Table 2: Predicted times of eclipse of HDE 331015
Times for mid eclipse calculated from JD. 24500603 9165
4.7 day period 4.8 day period
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608.6165 608.7165
613.3165 613.5165
618.0165 618.3165
622.7165 623.1165
627.4165 627.9165
632.1165 632.7165
636.8165 637.5165
641.5165 642.3165
646.2165 647.1165
650.9165 651.9165
655.6165 656.7165
The usual nightly viewing hours in winter for backyard astronomy are in the range 19.30 hrs. to 23.30 hrs. or 0.9 day to 1.05 day - the Julian Day commences at 22.00 hrs. E.A.S.T. - and only when an event is happening do most of us stay up to follow it through. Notice that of the 22 predictions in Table 2 only four mid eclipses occur in the normal time slot, and a further three around 01.00 hrs. In earlier work it was found that the duration of an eclipse of HDE 331015 was less than 10 hours (currently thought to be approximately 8 hours) and this compounded the difficulties in elucidating the period. In actual fact the group were able to observe an eclipse at totality on .613.33 (observer Rod Stubbins, not confirmed), 632.12; and another at 650.97 . Note these times are all approximate. Consequently we know the period is a multiple of 4.7 days - probably 2 x 4.7. The evidence for this is derived from the following:- (a) No eclipse was observed on 618.0165 {see Table 2}. One of us (L.W.) estimated the magnitude to be 11.0 at 617.917. (b) Three members of the group made a concerted effort to observe the eclipse predicted at 646.2165 (03.12 hrs. in the morning) and observed the object through midnight. If the duration of the event is 8 hours the eclipse would be expected to commence at 23.12 hrs. and consequently a fall in brightness would have been detected after midnight. No change was observed. (c) In Table 3 the predictions in Table 2 have been projected still further from the eclipse on 650.9165:-
Table 3: Predicted times of eclipse of HDE 331015
Times for mid eclipse calculated from 2450650.9165
Period 4.7 days
655.6165
660.3165
665.0165
669.7165
674.4165
679.1165
683.8165
At 669.878 one of us (L.W.) detected in twilight (unconfirmed) what appeared to be the tail end of an eclipse. If the duration was 8 hours then totality was calculated to have occurred near 669.75 which approximates to the projected date of 669.7165. Clouded skies prevented further observations until the 23 August which was clear. If the period of HDE 331015 was indeed 4.7 days then an eclipse should have occurred (Table 2) that evening at approximately 18.00 hrs. One of us (L.W.) estimated the magnitude at 20.00 hrs. (683.892) to be 10.85. If there had been an eclipse at 683.8165 the magnitude would have been near 11.5 (see Fig.1). In Fig.1 the light curve is given for an eclipse of HDE 331015. This curve was plotted by combining the estimates made by the group for events numbers 10 and 17 - in all the group observed 20 eclipses. So far it has not been possible to follow an event from start to finish in the hours of darkness and it is for this reason that the curve in Fig.1 embodies two events which overlapped at totality. Note that there is perhaps an indication that the curve is not symmetric. These estimates are raw data and as such are subject to the following considerations:- (i) The size of the mirrors varied from observer to observer and whilst the reproducibility for each would be similar the magnitude of their estimates would differ slightly. This factor is well known and Dr Frank Bateson, Director of the VSS, applies a correction for the bias of all VSS members. The data used in Fig.1 has not been corrected for individual bias. (ii) It is not yet known if the light curve of HDE 331015 is precisely the same from event to event - some binaries have a diffuse secondary component which is subject to convection at and near the surface. This can give rise to small differences both in the duration of an eclipse and the symmetry of the light curve. Most binaries of the Algol class exhibit a secondary eclipse formed when the bright component passes in front of the line of sight of the less bright component. So far we have not been able to detect this event - perhaps because of the difficulty in isolating a small loss of brightness against background scatter - especially since it is possible that the object has an intrinsic short term variation of +/- 0.15 magnitudes. Alternatively if the less bright component of the binary has a low relative luminosity the magnitude change of the secondary eclipse may be too small for visual estimation. The catalogued data on HDE 331015 gives it an objective prism spectrum of class A, a magnitude of 11.1, and proper motions of -0.002 and -0.005 arc sec/year. Is the primary a white dwarf? This seems possible since this class of star has an AO spectrum. However a white dwarf as bright as HDE 331015 would be close to the solar system and would be expected to show large proper motions. The coordinates for the object are given as 16hr.37min.23.3sec., -48deg.42min.10.7sec for epoch 2000 which gives galactic coordinates of 336,-1 i.e. right in the plane of the galaxy. Since a close white dwarf could be projected on any part of the sky the odds are against it being confined to the galactic plane. What kind of model can we put forward as to the structure of HDE 331015? An astronomer at MSO compared this object with two other well measured binaries of similar period (YZ Cas 4.47d., Alpha CrB 17.36d.) and similar spectra (YZ Cas A3 & F3, Alpha CrB A0 & G6) and accepting the 9.5 day period suggested that HDE 331015 might have intermediate values. He came up (crystal ball!) with A1 & G0 for the spectrum of this object and calculated a mass of 2.3 solar masses for the primary, whilst for the secondary a GO spectrum with a mass of 1.0 s.m. The distance between the pair could be near 30 solar radii. Bear in mind that the primary of HDE 331015 on this model could be 2.5 times larger than our sun whilst the secondary is the same size as the sun. Compared with other Algol stars studied by the group the light curve in Fig.1 appears unusually flat at minimum light. There could be several reasons for this. The obvious one is that the secondary is much larger than the primary. However if the suggested model above is correct the smaller diameter of the secondary will result in only a partial (annular)eclipse of the A star (even if both components are in the line of sight) and this could give rise to a flat light curve at minimum. We express our thanks to the Director of MSSSO for discussions and background input from MSO . Note (i) A formal paper is being submitted for publication in the Journal of the Variable Star Section of the Royal Astronomical Society of New Zealand. (ii) An astronomer at MSO has suggested that, since it is now possible to predict an eclipse, any amateur astronomers with CCD or other photoelectric device should observe an eclipse of HDE 331015 to obtain accurate magnitudes and colours then model the light curves and calculate (and publish?) the masses and radii of the binary pair. A project for the CAS? |
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