The period bouncer system SDSS J105754.25+275947.5: first radial velocity study

We report the first radial velocity spectroscopic study of the eclipsing period bouncer SDSS J105754.25+275947.5. Together with eclipse light curve modeling, we redetermined the system parameters and studied the accretion disk structure. We confirm that the system contains a white dwarf with $M_{\mathrm{WD}}=0.83(3) M_\odot$ and an effective temperature of 11,500(400)K. The mass of the secondary is $M_2 = 0.056 M_\odot$ with an effective temperature of T$_2$=2,100K or below. The system inclination is $i=84.3(6)$. The data is in good agreement with our determination of $K_1$ = 33(4) km s$^{-1}$. We estimate the mass transfer rate as $\dot{M}=$1.9(2)$\times 10^{-11} M_\odot yr^{-1}$. Based on an analysis of the SDSS and OSIRIS spectra, we conclude that the optical continuum is formed predominantly by the radiation from the white dwarf. The contribution of the accretion disk is low and originates from the outer part of the disk. The Balmer emission lines are formed in a plasma with $\log$ $N_0$ = 12.7 [cm$^{-1}$] and a kinetic temperature of T$\sim$10,000K. The size of the disk, where the emission lines are formed, expands up to $R_\mathrm{d,out}=0.29 R_\odot$. The inner part of the emission line forming region goes down to $R_\mathrm{d,in}\approx 2 R_\mathrm{WD}$ . The Doppler tomography and trailed spectra show the presence of a hot spot and a clumpy structure in the disk, with variable intensity along the disk position angle. There is an extended region at the side opposite the hot spot with two bright clumps caused more probably by non-Keplerian motion there.