Roche tomography of cataclysmic variables - V. A high-latitude star-spot on RU Pegasi

We present Roche tomograms of the secondary star in the dwarf nova system RU Pegasi derived from blue and red arm ISIS data taken on the 4.2-m William Herschel Telescope. We have applied the entropy landscape technique to determine the system parameters and obtained component masses of M1 = 1.06 Msun, M2 = 0.96 Msun, an orbital inclination angle of i = 43 degrees, and an optimal systemic velocity of gamma = 7 km/s. These are in good agreement with previously published values. Our Roche tomograms of the secondary star show prominent irradiation of the inner Lagrangian point due to illumination by the disc and/or bright spot, which may have been enhanced as RU Peg was in outburst at the time of our observations.We find that this irradiation pattern is axi-symmetric and confined to regions of the star which have a direct view of the accretion regions. This is in contrast to previous attempts to map RU Peg which suggested that the irradiation pattern was non-symmetric and extended beyond the terminator. We also detect additional inhomogeneities in the surface distribution of stellar atomic absorption that we ascribe to the presence of a large star-spot. This spot is centred at a latitude of about 82 degrees and covers approximately 4 per cent of the total surface area of the secondary. In keeping with the high latitude spots mapped on the cataclysmic variables AE Aqr and BV Cen, the spot on RU Peg also appears slightly shifted towards the trailing hemisphere of the star. Finally, we speculate that early mapping attempts which indicated non-symmetric irradiation patterns which extended beyond the terminator of CV donors could possibly be explained by a superposition of symmetric heating and a large spot.Comment: 14 pages, 10 figures, 3 tables Accepted for publication in Monthly Notices of the Royal Astronomical Societ

Cataclysmic Variables

Cataclysmic variables are binary stars in which a relatively normal star is transferring mass to its compact companion. This interaction gives rise to a rich range of behaviour, of which the most noticeable are the outbursts that give the class its name. Novae belong to the class, as do the less well known dwarf novae and magnetic systems. Novae draw their energy from nuclear reactions, while dwarf novae rely on gravity to power their smaller eruptions. All the different classes of cataclysmic variable can be accommodated within a single framework and this article will describe the framework, review the properties of the main types of system and discuss models of the outbursts and of the long-term evolution.Comment: 41 pages, 11 figures, invited review for Contemporary Physics, in pres

Mapping the secondary star in QQ Vulpeculae

We present high- and medium-resolution phase-resolved far-red spectra of the magnetic cataclysmic variable QQ Vul. The spectra show the Na i doublet absorption features near λ 8190 Å from the cool secondary star, and the lines of He ii, O i, Mg ii, C i, N i, Ca ii and Paschen in emission. Using a Doppler imaging technique, we find that the H i, He ii, C i and O i lines have a narrow component originating near the L1 point and a strong component from the stream, while the Mg ii and Ca ii emission arises solely from the illuminated hemisphere of the red dwarf. We carry out an exhaustive analysis of the emission- and absorption-line velocities and fluxes seen in the QQ Vul spectrum. By simultaneously fitting the radial velocity and flux information we are able to produce surface maps of each line on the secondary star using a technique analogous to the one employed by Davey. The Na i and Mg ii maps show an asymmetric distribution akin to that seen in AM Her. Although the observed velocity semi-amplitudes (K2) of the lines can potentially be corrected for the effects of irradiation, we find that time-dependent changes in the degree of heating on the secondary can lead to large discrepancies in the results, significant enough to give inconsistent values from data taken at different epochs. We discuss the limitations of the surface mapping method as a means of correcting the observed K2. Our results also suggest that the emission features from the red dwarf are likely to be formed at quite high levels of the stellar chromosphere, in some cases probably even beyond the L1 point and inside the Roche lobe of the white dwarf, with the different lines possibly forming at different depths. Using the Na i absorption doublet, we find a velocity semi-amplitude for the secondary star of K2=219±6 km s−1 and a projected rotational velocity of vrot sin i=110±15 km s−1. Thus we estimate the mass ratio to be q=0.54±0.14. Based on the results of the best-fitting surface maps on all the lines, and the nature of the phase-dependent variations of the continuum and lines, we infer a binary inclination of i=65°±7°, and obtain a complete set of binary parameters for QQ Vul. We classify the secondary star as M4V from the TiO band ratios

A non-main-sequence secondary in SY Cancri

Simultaneous spectroscopic and photometric observations of the Z Cam type dwarf nova SY Cancri were used to obtain absolute flux calibrations. A comparison of the photometric calibration with a wide slit spectrophotometric calibration showed that either method is equally satisfactory. A radial velocity study of the secondary star, made using the far red NaI doublet, yielded a mass ratio q = 0.68; this is very different from the value of 1.13 quoted in the literature. Using the new lower mass ratio, and constraining the mass of the white dwarf to be within reasonable limits, then leads to a mass for the secondary star that is substantially less than would be expected for its orbital period if it satisfied a main-sequence mass-radius relationship. We find a spectral type of M0 that is consistent with that expected for a main-sequence star of the low mass we have found. However, in order to fill its Roche lobe, the secondary must be significantly larger than a main sequence star of that mass and spectral type. The secondary is definitely not a normal main-sequence star.Comment: 13 pages, 9 figures, 6 tables, accepted for publication in MNRA

Meridional circulation in the atmospheres of uniformly rotating stars of early spectral type

It has been recognised since 1925 (Eddington:''The Internal Constitution of the Stars" (C.U.P. 1930, 285) that von Zeipel's paradox for uniformly rotating stars could be resolved if a large- scale circulation were set up in meridian planes. Investigations since then have shown, amongst other things, that the velocity of the circulation currents is inversely proportional to the density. Thus, even though the currents are very slow deep inside a star, they become very fast near the surface. If simple, zero density boundary conditions are applied at the surface, there is a formal singularity there,Although the surface layers of non-rotating stars are now understood in considerable detail, the same cannot be said for rotating stars. It appears that a detailed theory of the surface layers must take circulation into account. The main purpose of this thesis is to develop such a theory, with particular emphasis on the removal of the surface singularity.This singularity must arise from the neglect of some important physical factor. It has normally been assumed that viscous and inertial forces are negligible, and this assumption must clearly be questioned when the theory predicts very large velocities, However, a preliminary investigation by the author suggested that this assumption is valid arbitrarily near the surface if the rotation speed is slow enough. An assumption which is certainly invalid whatever the rotation speed is that the photon mean free path is short near the surface. That assumption is implicit in the use of an equation for the radiative flux of a form normally used only in the theory of stellar interiors. Accordingly, a theory of the surface layers has been developed in thesis which uses the non-local radiative transfer equation appropriate to the theory of stellar atmospheres. It is found that, although the use of a non-local transfer equation does remove the formal singularity at the surface, the circulation speeds near the surface are still unrealistically large, when the assumption that viscous and inertial forces can be neglected is re-examined, it is found that, although inertial forces do become important near the surface, these forces are not sufficient to damp the speed of the flow. However, the circulation violates a stability criterion based on the Richardson number (see, for example, L, Prandtl, Essentials of Fluid Dynamics, Blackie 1952), and the flow becomes turbulent in a thin surface layer. Turbulence sets in when the flow speeds are of the order of the speed of sound, and turbulent viscosity then acts to prevent the speeds from further increasing, A qualitative model of the turbulent surface layer has been developed, on the basis of order-of-magnitude estimates. Although no detailed prediction is given for the emergent flux, it is concluded that the commonly used von Zeipel gravity-darkening cannot be correct when a turbulent layer is present

A spectroscopic search for faint secondaries in cataclysmic variables

The secondary in cataclysmic variables (CV's) is usually detected by cross-correlation of the CV spectrum with that of a K or M dwarf template, to produce a radial velocity curve. Although this method has demonstrated its power, it has its limits in the case of noisy spectra, such as are found when the secondary is faint. A method of co-adding spectra, called skew mapping, has been proposed in the past. Gradually, examples of its application are being published. Nonetheless, so far no journal article has described the technique in detail. To answer this need, this paper explores in detail the capabilities of skew mapping when determining the amplitude of the radial velocity for faint secondaries. It demonstrates the method's power over techniques that are more conventional, when the signal-to-noise (s/n) ratio is poor. The paper suggests an approach to assessing the quality of results. This leads in the case of the investigated objects to a first tier of results, where we find K2=127+-23 km/s for SY Cnc, K2=144+-18 km/s for RW Sex, and K2=262+-14 km/s for UX UMa. These we believe to be the first direct determinations of K2 for these objects. Furthermore, we also obtain K2=263+-30 km/s for RW Tri, close to a skew mapping result obtained elsewhere. In the first three cases, we use these results to derive the mass of the white dwarf companion. A second tier of results includes UU Aqr, EX Hya, and LX Ser, for which we propose more tentative values of K2. Clear failures of the method are also discussed (EF Eri, VV Pup, SW Sex).Comment: 23 pages, 22 figures, 10 tables; translated to pdf from a Word file - no TeX version available. Accepted for publication in MNRA

Spectroscopic imaging of the secondary star in AM Her

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