The intermediate polar cataclysmic variable GK Persei 120 years after the nova explosion: a first dynamical mass study

TL;DR

This study provides the first detailed dynamical mass measurements of the white dwarf and donor star in GK Per, 120 years after its nova explosion, using multi-site spectroscopy and photometry to refine system parameters.

Contribution

It offers the first comprehensive dynamical analysis of GK Per, including precise mass and inclination measurements, and compares these with previous nova and X-ray models.

Findings

White dwarf mass is approximately 1.03 solar masses.

Donor star mass is approximately 0.39 solar masses.

Orbital inclination is about 67 degrees.

Abstract

We present a complete dynamical study of the intermediate polar and dwarf nova cataclysmic variable GK Per (Nova Persei 1901) based on a multi-site optical spectroscopy and $R$-band photometry campaign. The radial velocity curve of the evolved donor star has a semi-amplitude $K_2=126.4 \pm 0.9 \, \mathrm{km}\,\mathrm{s}^{-1}$ and an orbital period $P=1.996872 \pm 0.000009 \, \mathrm{d}$. We refine the projected rotational velocity of the donor star to $v_\mathrm{rot} \sin i = 52 \pm 2 \, \mathrm{km}\,\mathrm{s}^{-1}$ which, together with $K_2$, provides a donor star to white dwarf mass ratio $q=M_2/M_1=0.38 \pm 0.03$. We also determine the orbital inclination of the system by modelling the phase-folded ellipsoidal light curve and obtain $i=67^{\circ} \pm 5^{\circ}$. The resulting dynamical masses are $M_{1}=1.03^{+0.16}_{-0.11} \, \mathrm{M}_{\odot}$ and $M_2 = 0.39^{+0.07}_{-0.06} \, \mathrm{M}_{\odot}$ at $68$ per cent confidence level. The white dwarf dynamical mass is compared with estimates obtained by modelling the decline light curve of the $1901$ nova event and X-ray spectroscopy. The best matching mass estimates come from the nova light curve models and an X-ray data analysis that uses the ratio between the Alfv\'en radius in quiescence and during dwarf nova outburst.