Abstract

We estimate the fundamental system parameters (e.g. mass ratio, inclination, stellar masses) of the unusual cataclysmic variable AE Aquarii by characterizing the behaviour of the mass-donor star. Our analysis focuses on the absorption lines from the donor star, avoiding biases induced by use of the poorly understood emission lines. Using simultaneous high-speed photometry and high-resolution H α spectroscopy, we observed weak absorption lines in AE Aquarii’s spectrum. By modelling these lines we estimate the spectral type of the mass-donor star (K3–K5), its orbital and rotation velocities (K1 ~ 138 ± 6 km s–1, K2 = 157.9 ± 0.8 km s–1; Vrot sin i = 85–108 km s–1), and its contribution to the total flux of the system (69–94 per cent). From K2 and Vrot sin i we derive the mass ratio 0.58 < q ≡ M2/M1 < 0.89, the range depending upon the spectral type and limb darkening. By using K2 and the amplitude of the pulse arrival-time delay curve of Eracleous et al., we estimate the mass ratio of the binary system (q = 0.646 ± 0.013). We also observe variations in the absorption-line flux deficit, and, if interpreted as ellipsoidal variations, their amplitudes suggest an inclination i = 49° ± 15°. However, the deviations from the expected ellipsoidal variations are significant, suggesting a non-uniform distribution of absorption-line strength across the donor star (perhaps indicative of star-spot regions). Realistic probability distributions for the inclination and the stellar masses are derived using a Monte Carlo simulator assuming M1 < 1.4 Mʘ, but with no assumptions about the mass of the donor star. We find M1 = 0.89 ± 0.23 Mʘ, M2 = 0.57 ± 0.15 Mʘ, and further constrain i to 55° ± 7°. We also report the serendipitous discovery of a (previously unknown) eclipsing variable star near AE Aquarii

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