The Shortest Period Detached Binary White Dwarf System
Mukremin Kilic, Warren R. Brown, S. J. Kenyon, Carlos Allende Prieto,, J. Andrews, S. J. Kleinman, K. I. Winget, D. E. Winget, J. J. Hermes

TL;DR
This paper reports the discovery of the shortest period detached binary white dwarf system, J0106-1000, with detailed observations and modeling indicating it will merge in 37 million years, potentially detectable by LISA.
Contribution
It presents the first example of a tidally distorted white dwarf in a very short period binary, with detailed characterization and implications for gravitational wave detection.
Findings
Shortest period detached binary white dwarf known
System will merge in approximately 37 million years
Potential gravitational wave source detectable by LISA
Abstract
We identify SDSS J010657.39-100003.3 (hereafter J0106-1000) as the shortest period detached binary white dwarf (WD) system currently known. We targeted J0106-1000 as part of our radial velocity program to search for companions around known extremely low-mass (ELM, ~ 0.2 Msol) WDs using the 6.5m MMT. We detect peak-to-peak radial velocity variations of 740 km/s with an orbital period of 39.1 min. The mass function and optical photometry rule out a main-sequence star companion. Follow-up high-speed photometric observations obtained at the McDonald 2.1m telescope reveal ellipsoidal variations from the distorted primary but no eclipses. This is the first example of a tidally distorted WD. Modeling the lightcurve, we constrain the inclination angle of the system to be 67 +- 13 deg. J0106-1000 contains a pair of WDs (0.17 Msol primary + 0.43 Msol invisible secondary) at a separation of 0.32…
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