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James Munday, P-E Tremblay, J J Hermes, Brad Barlow, Ingrid Pelisoli, T R Marsh, Steven G Parsons, David Jones, S O Kepler, Alex Brown, S P Littlefair, R Hegedus, Andrzej Baran, Elmé Breedt, V S Dhillon, Martin J Dyer, Matthew J Green, Mark R Kennedy, Paul Kerry, Isaac D Lopez, Alejandra D Romero, Dave Sahman, Hannah L Worters, An eclipsing 47 min double white dwarf binary at 400 pc, Monthly Notices of the Royal Astronomical Society, Volume 525, Issue 2, October 2023, Pages 1814–1823, https://doi.org/10.1093/mnras/stad2347
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ABSTRACT
We present the discovery of the eclipsing double white dwarf (WD) binary WDJ 022558.21−692025.38 that has an orbital period of 47.19 min. Following identification with the Transiting Exoplanet Survey Satellite, we obtained time series ground based spectroscopy and high-speed multiband ULTRACAM photometry which indicate a primary DA WD of mass |$0.40\pm 0.04\, \text{M}_\odot$| and a |$0.28\pm 0.02\, \text{M}_\odot$| mass secondary WD, which is likely of type DA as well. The system becomes the third-closest eclipsing double WD binary discovered with a distance of approximately 400 pc and will be a detectable source for upcoming gravitational wave detectors in the mHz frequency range. Its orbital decay will be measurable photometrically within 10 yr to a precision of better than 1 per cent. The fate of the binary is to merge in approximately 41 Myr, likely forming a single, more massive WD.
1 INTRODUCTION
Compact white dwarf (WD) binaries are of strong astrophysical interest as descendants of mass transfer phases, possibly the progenitors of exotic merger stars (Webbink 1984; Zhang & Jeffery 2012; Cheng, Cummings & Ménard 2019; Gvaramadze et al. 2019; Hollands et al. 2020) and are one of the likely progenitors of Type Ia/Ia supernovae (Maoz, Mannucci & Nelemans 2014). Among double WD (DWD) binary systems, the subset which exit mass transfer with periods less than ∼10 h are destined to return into contact within a Hubble time, primarily as a consequence of gravitational wave radiation. There are hence many DWD binaries with orbital frequencies in the mHz frequency band, allowing for detection with upcoming space-based gravitational wave detectors like TianQuin (Luo et al. 2016) and the Laser Interferometer Space Antenna (LISA; Amaro-Seoane et al. 2017, 2023), with DWDs acting as dominant foreground sources (Nissanke et al. 2012; Korol et al. 2017; Lamberts et al. 2019).
Although the Galactic population of DWD binaries is expected to be in the hundreds of millions (e.g. Nelemans et al. 2001; Marsh 2011; Korol et al. 2022), only a small fraction of the observable population has been conclusively identified to date. This is largely the result of observational biases from the intrinsic dimness of WDs and from a detection preference with eclipsing DWD systems, which reveal the clear presence of a companion but require near edge-on inclinations. Ongoing and recent attempts to exploit all-sky variability surveys to find DWD and other compact binaries has resulted in an acceleration in the detection of such systems (e.g. Burdge et al. 2020a; van Roestel et al. 2021, 2022; Keller et al. 2022; Kosakowski et al. 2022; Ren et al. 2023). Furthermore, the extremely low-mass (ELM) WD survey (Brown et al. 2022) and the supernovae Type Ia progenitor survey (Napiwotzki et al. 2020) have provided population statistics on the DWD sample from the DWDs discovered in their surveys. In particular, Napiwotzki et al. (2020) reveal a DWD fraction of 6 per cent compared to their observed WD sample, which is consistent with the fraction expected in from population synthesis (Toonen et al. 2017). A couple of dozen other radial-velocity variable or eclipsing DWD systems have been discovered separately to these surveys (see e.g. Kilic et al. 2010; Hallakoun et al. 2016; Kilic, Bédard & Bergeron 2021a, and references therein) which typically have orbital periods between a few hours and a day. However, the most compact of DWD binaries with an orbital period less than 1 h are rare. Brown et al. (2022) find that |$\approx 10~{{\ \rm per\ cent}}$| of low-mass WD binaries alone have sub-hour orbital periods in the ELM WD survey. Approximately 20 out of a total of 200 DWDs have been found to be this compact, an excessive fraction compared to the |$\approx 5~{{\ \rm per\ cent}}$| predicted (Nelemans et al. 2001) that is likely consistent when considering observational biases.
Eclipsing DWD binaries offer the most precise system characterization and those with sub-hour orbital periods have the potential for their orbital decay to be measured observationally within decades. In this paper, we present the discovery of such a compact and eclipsing DWD binary with orbital period of 47.19 min. Its binarity was discovered using the Transiting Exoplanet Survey Satellite (TESS; Ricker et al. 2015), making it one of the shortest period detached binary discovered by TESS to date. Compared to the characterized eclipsing DWD binary sample, WDJ 022558.21−692025.38 (hereafter J0225−6920) is located relatively nearby in the Galaxy at a distance of approximately 400 pc; at the time of writing, J0225−6920 becomes the third-closest eclipsing DWD discovered after NLTT 11 748 (Steinfadt et al. 2010) and GALEX J1717+6757 (Vennes et al. 2011), both being of distance ≈180 pc.
Our observations are discussed in Section 2 followed by spectral modelling in Section 3. Then, we address light-curve modelling and derived system parameters in Section 4. We close by discussing the projected orbital decay of J0225−6920 in Section 5.
2 OBSERVATIONS
2.1 Photometry
J0225−6920 was identified as a DA WD by Kilkenny et al. (2015, EC02251-6933) and classified by Gentile Fusillo et al. (2019, 2021) as a high-probability WD (PWD > 0.95). J0225−6920 was part of a 2 min cadence programme with TESS in Sectors 27, 28, and 29 (programme G03124, TIC 631238061). During this programme, we saw clear eclipsing signatures in J0225−6920 that showed the system to be a DWD binary, although its orbital period was not immediately clear from boxed-least-squares periodogram aliases of 23.5 and 47 min. To distinguish the orbital period, we initially obtained (white light) data from the 0.41 m PROMPT-1 telescope (Reichart et al. 2005), data from the 1.6 m Pico dos Dias Observatory (BG40 filter), and data from the South African Astronomical Observatory (SAAO) 1 m Lesedi telescope (white light). These revealed distinct primary and secondary eclipses for a 47 min orbital period.
Following identification, we then observed J0225−6920 with the high-speed photometer ULTRACAM (Dhillon et al. 2007) mounted on the ESO 3.5 m New Technology Telescope (NTT) during five nights in July 2021. Observations were simultaneously taken using the Super SDSS us, gs, and is filters (Dhillon et al. 2021). We later observed with ULTRACAM on the NTT over three nights in September 2022 in the Super SDSS us, gs, and rs filters. In total, we observed more than 15 h on target with ULTRACAM. A full observing log is supplied in Appendix A1.
All data were debiased and flat-fielded; the SAAO and PROMPT-1 data with custom scripts, and the ULTRACAM data using the HiPERCAM reduction pipeline (Dhillon et al. 2021). Dark-current subtraction was additionally performed for the ULTRACAM data because of its hotter operational temperature. The flux of J0225−6920 was extracted through differential aperture photometry using a non-variable comparison star with Gaia DR3 source ID 4693540643322249216. We used a variable aperture size that reflected the seeing at the time of observation set to 1.8 × the full width at half-maximum of the stellar profile. All mid-exposure time-stamps were placed on a Barycentric Modified Julian Date (BMJD) Barycentric Dynamical Time (TDB) time frame.
2.2 Spectroscopy
We obtained time series long-slit spectra from the 4.1 m SOAR telescope with the SOAR Goodman spectrograph (Clemens, Crain & Anderson 2004) in October 2020. We observed with a 930 1 mm−1 grating and a slit-width of 1 arcsec, resulting in a resolution of λ/Δλ ≈ 1800 with a wavelength coverage of 3600$–|$5275\,$| Å. 43 consecutive spectra were obtained with exposure time 180 s and a 7 s readout time between adjacent exposures. FeAr arc lamp spectra were taken immediately before the first and immediately after the final spectrum. To avoid any possible drift to the wavelength solution extracted from FeAr arc lamps, we placed a second star (Gaia DR3 4693540643322249216) on the slit and calibrated the wavelength solution of each science exposure using the Balmer series of this comparison, that is, the initial wavelength solution was obtained in the reference frame of the comparison star. The systemic velocity of the binary was measured from each set of calibrated spectra (see Section 3.2) and the systemic velocity found through the FeAr lamp wavelength solution was used to convert from the reference frame of the comparison star to that of the barycentre, retaining the absolute wavelength calibration.
The signal-to-noise ratio (SNR) in each spectrum at the centre and wings of H β is approximately 15 and 23, respectively. These reveal clear Balmer absorption features indicating that the brighter component is a DA WD (see Fig. 1). Double-lined features in the spectrum were searched for, particularly at H β, but were not obviously apparent. No metals nor helium spectral lines were detected in the spectra.

Normalized Balmer absorption line profiles from the combined SOAR/Goodman spectra, H β through H9. The observations are displayed in black, with the best fit model overplotted in red. Each profile is vertically offset for clarity. The displayed model has a primary star of |$T_\text{eff,1}=25\, 330$| K and log g1 = 6.99 dex combined with a secondary star of |$T_\text{eff,2}=13\, 750$| K and log g2 = 7.60 dex. The secondary star’s effective temperature that is included here was derived from a single iteration of light-curve fitting using the Teff,1 of a single-star fit to the co-added spectrum.
3 SPECTROSCOPIC ANALYSIS
3.1 Atmospheric parameters
The reduced spectra were co-added with a common rest wavelength. The normalized Balmer line profiles of the co-added spectrum were then fit with the DA WD models of Tremblay, Bergeron & Gianninas (2011) and Tremblay et al. (2015). Fitting the spectrum with a single DA WD model to represent the primary star,1 we constrain the atmosphere of the brighter component2 to have a surface gravity log g1 = 7.07 ± 0.04 dex and |$T_{\text{eff},1}=24\, 250\pm 310$| K.
In an attempt to retrieve the surface gravity and temperature of the secondary star, and improve the accuracy of the primary star parameters, we utilized photometric flux measurements from wide-field surveys and fit solutions for two unique WDs to the combined SED. At the time of writing, Gaia DR3 and SkyMAPPER (Wolf et al. 2018) survey data are available, which we utilize to model the photometric and spectroscopic data simultaneously. We dereddened these flux measurements with an extinction constant of AV = 0.09 (Gentile Fusillo et al. 2021) following the reddening prescription of Fitzpatrick & Massa (2007) with RV = 3.1. The WD models require a conversion from an Eddington flux to a flux observed at Earth, so we enforced a posterior distribution on the fitted distance based on the Gaia DR3 parallax stated in Table 1. A single DA WD model to the dereddened Gaia photometric fluxes yields |$T_{\text{eff}}=22\, 500\pm 910$| K (Gentile Fusillo et al. 2021), which places a minimum temperature on the primary star since the flux contributed from the cooler companion weights a single star fit to cooler temperatures.
Observed parameters of J0225−6920 taken from Gaia DR3 with reference epoch 2016 January 1. The quoted distance measurement is taken from the method described in Bailer-Jones et al. (2021).
Parameter . | Constraint . |
---|---|
RA | 36.492414189 deg ± 0.035 mas |
Dec. | |$-69.34049573\, \text{deg}\pm 0.035$| mas |
PM RA | −11.720 ± 0.046 mas yr−1 |
PM Dec. | −25.500 ± 0.049 mas yr−1 |
Parallax | 2.478 ± 0.038 mas |
BP | 16.305 ± 0.004 mag |
G | 16.398 ± 0.001 mag |
RP | 16.600 ± 0.007 mag |
Distance | |$402.6^{+5.9}_{-6.8}$| pc |
Source ID | 4693 541 467 955 966 848 |
Parameter . | Constraint . |
---|---|
RA | 36.492414189 deg ± 0.035 mas |
Dec. | |$-69.34049573\, \text{deg}\pm 0.035$| mas |
PM RA | −11.720 ± 0.046 mas yr−1 |
PM Dec. | −25.500 ± 0.049 mas yr−1 |
Parallax | 2.478 ± 0.038 mas |
BP | 16.305 ± 0.004 mag |
G | 16.398 ± 0.001 mag |
RP | 16.600 ± 0.007 mag |
Distance | |$402.6^{+5.9}_{-6.8}$| pc |
Source ID | 4693 541 467 955 966 848 |
Observed parameters of J0225−6920 taken from Gaia DR3 with reference epoch 2016 January 1. The quoted distance measurement is taken from the method described in Bailer-Jones et al. (2021).
Parameter . | Constraint . |
---|---|
RA | 36.492414189 deg ± 0.035 mas |
Dec. | |$-69.34049573\, \text{deg}\pm 0.035$| mas |
PM RA | −11.720 ± 0.046 mas yr−1 |
PM Dec. | −25.500 ± 0.049 mas yr−1 |
Parallax | 2.478 ± 0.038 mas |
BP | 16.305 ± 0.004 mag |
G | 16.398 ± 0.001 mag |
RP | 16.600 ± 0.007 mag |
Distance | |$402.6^{+5.9}_{-6.8}$| pc |
Source ID | 4693 541 467 955 966 848 |
Parameter . | Constraint . |
---|---|
RA | 36.492414189 deg ± 0.035 mas |
Dec. | |$-69.34049573\, \text{deg}\pm 0.035$| mas |
PM RA | −11.720 ± 0.046 mas yr−1 |
PM Dec. | −25.500 ± 0.049 mas yr−1 |
Parallax | 2.478 ± 0.038 mas |
BP | 16.305 ± 0.004 mag |
G | 16.398 ± 0.001 mag |
RP | 16.600 ± 0.007 mag |
Distance | |$402.6^{+5.9}_{-6.8}$| pc |
Source ID | 4693 541 467 955 966 848 |
We then simultaneously fit all dereddened photometric flux measurements and the normalized Balmer profiles with a DA + DA model and enforced |$T_{\text{eff},2}=13\, 750\,$| K. This temperature measurement was guided by the results of our light-curve fitting in Section 4 when using the measured Teff,1 from a single star model to the co-added spectrum. The goals from fitting a DA + DA model were to improve the accuracy of the primary temperature by including the flux from a WD companion and to gain a measurement of the secondary’s surface gravity. We obtain results of |$T_{\text{eff}, 1} = 25\, 330\pm 330$| K, with log g1 = 6.99 ± 0.04 dex and log g2 = 7.60 ± 0.23 dex (see Fig. 1). Interpolation of these parameters with WD atmosphere models indicate a primary mass of |$M_1=0.35\pm 0.01\, \text{M}_\odot$| for a helium core (Althaus, Miller Bertolami & Córsico 2013) and |$M_1=0.27\pm 0.01\, \text{M}_\odot$| for a carbon–oxygen core (Bédard et al. 2020) WD. A hybrid carbon–oxygen/helium core composition is also possible, and predicted masses for this composition are similar to pure-helium masses at the primary temperature (Zenati, Toonen & Perets 2019). Although both a carbon–oxygen and helium core WD would be possible core compositions for the primary depending on the evolutionary path of the system, carbon–oxygen core WDs are not expected below roughly 0.33 M⊙ (Prada Moroni & Straniero 2009), so we only consider solutions with a helium core primary going forward. The core composition of the secondary is unclear from spectral analysis alone due to its large surface gravity error.
Lastly for atmospheric analysis, a DA + DBA WD spectral fit was performed with Teff,2 again fixed at 13 750 K and we found two inconsistencies. This model significantly under-predicted the flux of the weakest Balmer transitions and we found that absorption of He I (4471 Å) would be apparent, which it is not in the observed spectrum. We consequently predict that the companion has a hydrogen rich atmosphere, perhaps of type DA also. This DA + DA WD prediction leads us to assume the spectroscopic results from the DA + DA model fit for the remainder of the paper, as listed in Table 2.
Spectroscopically determined system parameters from the normalized Balmer line fit and the fit semi-amplitude to H β (following the method described in Section 3).
Parameter (spectroscopy) . | Value . |
---|---|
Primary temperature | |$T_{\textrm {eff}, 1}=25\, 330\pm 330$| K |
Primary surface gravity | log g1 = 6.99 ± 0.04 dex |
Secondary surface gravity | log g2 = 7.60 ± 0.23 dex |
Systemic velocity | γ = 1.6 ± 4.1 km s−1 |
Primary semi-amplitude | K1 = 224.0 ± 4.4 km s−1 |
Parameter (spectroscopy) . | Value . |
---|---|
Primary temperature | |$T_{\textrm {eff}, 1}=25\, 330\pm 330$| K |
Primary surface gravity | log g1 = 6.99 ± 0.04 dex |
Secondary surface gravity | log g2 = 7.60 ± 0.23 dex |
Systemic velocity | γ = 1.6 ± 4.1 km s−1 |
Primary semi-amplitude | K1 = 224.0 ± 4.4 km s−1 |
Spectroscopically determined system parameters from the normalized Balmer line fit and the fit semi-amplitude to H β (following the method described in Section 3).
Parameter (spectroscopy) . | Value . |
---|---|
Primary temperature | |$T_{\textrm {eff}, 1}=25\, 330\pm 330$| K |
Primary surface gravity | log g1 = 6.99 ± 0.04 dex |
Secondary surface gravity | log g2 = 7.60 ± 0.23 dex |
Systemic velocity | γ = 1.6 ± 4.1 km s−1 |
Primary semi-amplitude | K1 = 224.0 ± 4.4 km s−1 |
Parameter (spectroscopy) . | Value . |
---|---|
Primary temperature | |$T_{\textrm {eff}, 1}=25\, 330\pm 330$| K |
Primary surface gravity | log g1 = 6.99 ± 0.04 dex |
Secondary surface gravity | log g2 = 7.60 ± 0.23 dex |
Systemic velocity | γ = 1.6 ± 4.1 km s−1 |
Primary semi-amplitude | K1 = 224.0 ± 4.4 km s−1 |
3.2 Radial velocities
We then searched for any radial velocity variations in the normalized H β absorption-line profile by modelling the full set of spectra simultaneously. The velocity of each star varies as a function of phase given by
where subscripts 1 and 2 represent the primary and the secondary stars, γ is the systemic velocity, K is the radial velocity semi-amplitude, and ϕ is the orbital phase of the binary. The orbit is assumed circularized (e.g. Peters 1964) and ϕ is solved with the centre time of the exposure and our orbital ephemeris (equation 2). Furthermore, the line profiles themselves were fit with a 2-Gaussian component similar to all spectra,3 each having a standard deviation, σA,B, an amplitude, AA,B, and a common central wavelength solved through equation (1). One of these Gaussian components serves to model the broad local thermal equilibrium (LTE) component of H β, while the other models the non-LTE component which is well described by a Gaussian profile. Overall, this meant that γ, K, σA,B, and AA,B were all free parameters. To reach a solution, we iteratively trialed parameter combinations using a Markov chain Monte Carlo (MCMC) algorithm with the python package emcee (Foreman-Mackey et al. 2013), minimizing the χ2 between the model and our set of observed spectra. We chose this method to reduce the impact of the input absorption line model on the resultant measured semi-amplitude, where instead the shape of the Gaussian components are dynamically solved to when obtaining a best fit solution.
We measure K1 = 224.0 ± 4.4 km s−1 and γ = 1.6 ± 4.1 km s−1. For clarity, we extract radial velocity measurements independently of orbital phase (as listed in Appendix D) by keeping σA,B and AA,B fixed from a best fit to the stacked spectrum. Radial velocity errors are reported as the standard deviation of 1000 bootstrapping iterations. These measurements and our fit K1 and γ are plotted in Fig. 2. It is important to note, however, that the measured radial velocity amplitude may be underestimated due to the contribution of light from the companion in antiphase. Even though absorption lines from the companion are not obviously apparently (see Fig. 2), its contribution can be significant (e.g. Hallakoun et al. 2016). To check if this has a significant impact in J0225−6920, we searched for a consistent radial velocity amplitude across all Balmer lines by measuring those of H β − Hζ, finding them to be within 2σ of each other; H β being the largest. Light-curve modelling to the photometry alone agreed best with the radial velocity at H β (see Section 4.2). As such, we report the radial velocity amplitude of H β as that of the system.

Left: extracted radial velocity measurements of J0225−6920 with K1 = 224.0 km s−1 and γ = 1.6 km s−1 overplot. Right: stacked observations of J0225−6920 as a function of phase with bin widths of 0.2 cycles, magnified on H β. A trailed spectrogram is additionally provided in Appendix C.
4 BINARY MODELLING
4.1 Ephemeris
To determine the orbital ephemeris, we simultaneously searched for an orbital period using the photometry from all detectors and filters using the multiband Lomb–Scargle periodogram package of VanderPlas & Ivezić (2015). By fitting individual eclipses with our best fit synthetic light curves for the ULTRACAM data (see Section 4.2), we refined the ephemeris to a higher precision. The orbital ephemeris that we obtain, centred on the primary mid-eclipse, is
4.2 PHOEBE
We model the ULTRACAM light curves using the PHysics Of Eclipsing BinariEs v2.4 (phoebe; Prša et al. 2016; Horvat et al. 2018; Conroy et al. 2020; Jones et al. 2020) package to constrain the system components. We use blackbody spectra to compute the emergent flux.4 Irradiation is treated using the ‘Horvat’ method outlined in Horvat et al. (2019) and a perfect reflection (an albedo of one) for both stars is assumed. The same Galactic reddening treatment as in Section 3.1 was applied, which has a small effect on the light-curve morphology but is most impactful to the eclipse depths (e.g. Jones et al. 2020). The synthetic light curves do not include the contribution of gravitational lensing, however, its impact on the emergent flux is suspected to be negligible for this system, amplifying the received flux by far less than 1 per cent (Marsh 2001).
Limb darkening and gravity darkening coefficients were interpolated uniquely for the two stars using tabulated values that are specific for the Super SDSS passbands. For limb darkening, we used a power-law prescription with its coefficients set according to the 3D WD models of Claret et al. (2020b), or the 1D WD models of Claret et al. (2020a) when the 3D grid boundaries were exceeded. Gravity darkening coefficients were interpolated from the tables of Claret et al. (2020a). In each case, the interpolation was dependent on the effective temperature and the surface gravity of the respective star for a trial synthetic model.
We also reactivated the Doppler beaming functionality of phoebe 2.2 and pass beaming coefficients of Claret et al. (2020b).5 The synthetic K1 and K2 are solved dynamically in phoebe as a function of phase (which is to say through Keplerian geometry) and incorporate the impact of gravitational redshift. The effect of smearing from a finite exposure time was corrected for assuming exposures of 9 s in the us-band and 3 s in the gs, rs, and is bands (see Appendix Table A1).
To obtain a system solution, we implemented an MCMC algorithm using emcee (Foreman-Mackey et al. 2013), where the goodness of fit was determined by minimization of the χ2 between the synthetic and observed light curves. We fit synthetic photometry to the ULTRACAM light curves simultaneously to improve the precision of the radii, masses, and the inclination of the system. Since blackbody models are considered, the spectral energy distribution assumed for both stars in phoebe differs from that of a WD. The usage of blackbody models causes little issue to the gs, rs, and is bands as the colour between each band for WD and blackbody spectra is small, whereas the us − gs colour deviates strongly. To overcome these issues, we model to the gs, rs, and is bands only and we set a Gaussian prior for the primary star temperature based on our spectroscopic solution. With a final model, we then check for consistency in the us band by allowing the temperature of the secondary to be a free parameter. The secondary temperature is identical for each of the other passbands.
We started by modelling independently of K1 and found a good fit to the photometry where the synthetic K1 was within the error of that measured, giving us confidence that the measured K1 in Section 3.2 is reflective of the true value. Following this test, we introduced K1 into the χ2 minimization. Overall, the mass, temperature, and radius of the primary and secondary star and the inclination of the system were free parameters in the MCMC. Only Teff,1 included a Gaussian prior while all other parameters had no set prior.
4.3 Binary parameters
Our post-burnin results of the MCMC are presented in Table 3, with our best-fitting binary model displayed in Fig. 3. A corner plot diagram is included in Appendix B showing the covariance between free parameters. A good model fit to the light curve is obtained about the eclipses and for K1. Furthermore, the impact of Doppler beaming in quadrature (which causes the observed flux to be larger/smaller as a star moves towards/away from the observer) is well fit in the us-band; the band impacted most significantly (see e.g. Claret et al. 2020b).

Left: our ULTRACAM photometry phase-folded on the orbital ephemeris of equation (2) and binned for clarity. phoebe synthetic light curves are overlaid in black. The AB magnitude is displayed on the vertical axes where all but the us-band are vertically offset by |$g_s=0.23\, \text{mag}, r_s=0.14\, \text{mag}$|, and |$i_s=-0.16\, \text{mag}$| for clarity. Top right/bottom right: similar to the left-hand plot, but zoomed around the primary and secondary eclipses. Both right-hand-side plots are zoomed insets, where the light curves from each filter are manually offset in magnitude to enlarge the eclipses.
J0225−6920 system parameters. All quoted measurements originate from a fit to K1 and the ULTRACAM light curves only. Errors are quoted as the 16th and 84th percentiles of the post-burnin MCMC posteriors.
Parameter (photometry) . | Value . |
---|---|
Period | 0.03277099777(24) d |
Primary mass | |$M_1=0.40\pm 0.04\, \text{M}_\odot$| |
Primary temperature | |$T_1=25\, 550\pm 200$| K |
Primary radius | R1 = 0.0291 ± 0.0010 R⊙ |
Secondary mass | M2 = 0.28 ± 0.02 M⊙ |
Secondary temperature | |$T_2=14\, 350\pm 100$| K |
Secondary radius | R2 = 0.0244 ± 0.0007 R⊙ |
Inclination | i = 85.25 ± 0.06 deg |
Primary surface gravity | log g1 = 7.11 ± 0.06 dex |
Secondary surface gravity | log g2 = 7.11 ± 0.04 dex |
Mass ratio | q = M2/M1 = 0.70 ± 0.09 |
Relative squared radii | (R2/R1)2 = 0.70 ± 0.06 |
Primary semi-amplitude | K1 = 240.1 ± 15.6 km s−1 |
Secondary semi-amplitude | K2 = 343.0 ± 21.9 km s−1 |
Parameter (photometry) . | Value . |
---|---|
Period | 0.03277099777(24) d |
Primary mass | |$M_1=0.40\pm 0.04\, \text{M}_\odot$| |
Primary temperature | |$T_1=25\, 550\pm 200$| K |
Primary radius | R1 = 0.0291 ± 0.0010 R⊙ |
Secondary mass | M2 = 0.28 ± 0.02 M⊙ |
Secondary temperature | |$T_2=14\, 350\pm 100$| K |
Secondary radius | R2 = 0.0244 ± 0.0007 R⊙ |
Inclination | i = 85.25 ± 0.06 deg |
Primary surface gravity | log g1 = 7.11 ± 0.06 dex |
Secondary surface gravity | log g2 = 7.11 ± 0.04 dex |
Mass ratio | q = M2/M1 = 0.70 ± 0.09 |
Relative squared radii | (R2/R1)2 = 0.70 ± 0.06 |
Primary semi-amplitude | K1 = 240.1 ± 15.6 km s−1 |
Secondary semi-amplitude | K2 = 343.0 ± 21.9 km s−1 |
J0225−6920 system parameters. All quoted measurements originate from a fit to K1 and the ULTRACAM light curves only. Errors are quoted as the 16th and 84th percentiles of the post-burnin MCMC posteriors.
Parameter (photometry) . | Value . |
---|---|
Period | 0.03277099777(24) d |
Primary mass | |$M_1=0.40\pm 0.04\, \text{M}_\odot$| |
Primary temperature | |$T_1=25\, 550\pm 200$| K |
Primary radius | R1 = 0.0291 ± 0.0010 R⊙ |
Secondary mass | M2 = 0.28 ± 0.02 M⊙ |
Secondary temperature | |$T_2=14\, 350\pm 100$| K |
Secondary radius | R2 = 0.0244 ± 0.0007 R⊙ |
Inclination | i = 85.25 ± 0.06 deg |
Primary surface gravity | log g1 = 7.11 ± 0.06 dex |
Secondary surface gravity | log g2 = 7.11 ± 0.04 dex |
Mass ratio | q = M2/M1 = 0.70 ± 0.09 |
Relative squared radii | (R2/R1)2 = 0.70 ± 0.06 |
Primary semi-amplitude | K1 = 240.1 ± 15.6 km s−1 |
Secondary semi-amplitude | K2 = 343.0 ± 21.9 km s−1 |
Parameter (photometry) . | Value . |
---|---|
Period | 0.03277099777(24) d |
Primary mass | |$M_1=0.40\pm 0.04\, \text{M}_\odot$| |
Primary temperature | |$T_1=25\, 550\pm 200$| K |
Primary radius | R1 = 0.0291 ± 0.0010 R⊙ |
Secondary mass | M2 = 0.28 ± 0.02 M⊙ |
Secondary temperature | |$T_2=14\, 350\pm 100$| K |
Secondary radius | R2 = 0.0244 ± 0.0007 R⊙ |
Inclination | i = 85.25 ± 0.06 deg |
Primary surface gravity | log g1 = 7.11 ± 0.06 dex |
Secondary surface gravity | log g2 = 7.11 ± 0.04 dex |
Mass ratio | q = M2/M1 = 0.70 ± 0.09 |
Relative squared radii | (R2/R1)2 = 0.70 ± 0.06 |
Primary semi-amplitude | K1 = 240.1 ± 15.6 km s−1 |
Secondary semi-amplitude | K2 = 343.0 ± 21.9 km s−1 |
From the light-curve modelling, the primary star has an effective temperature of |$25\, 550\pm 200$| K and for the secondary |$14\, 350\pm 100$| K. Component masses and radii indicate that both stars likely have helium cores, falling closely on the evolutionary tracks of helium core WD models (Althaus et al. 2013; Istrate et al. 2016), and that the system is detached. The primary star’s Roche lobe is 12 per cent filled and the secondary’s is 18 per cent filled. Interpolation of the masses and the temperatures of each WD with Istrate et al. (2016) cooling track models that feature rotational and diffusional physics indicate cooling ages for each star of |$t_1\approx 7\,$| Myr and |$t_2\approx 22\,$| Myr, such that the more massive primary star is the younger of the two. The primary mass determined from light-curve fitting is consistent with the spectroscopically predicted mass of |$M_1=0.35\pm 0.01\, \text{M}_\odot$| for a WD with a helium core (see Section 3.1). While the log g2 = 7.60 ± 0.23 dex for a two-star spectral fit shows a worse agreement to the light-curve inferred parameters, the measurements agree at approximately a 2σ level, where such a difference could have been influenced by the systematical errors such as smearing of the secondary star to the co-added spectrum. The modelled parameters indicate that the secondary is also likely a helium core WD.
4.4 Similarities with known systems
J0225−6920 bears a resemblance to the systems ZTF J1749+0924, ZTF J2029+1534, and ZTF J0722–1839 (Burdge et al. 2020a). These systems are also detached DWD binaries with similar effective temperatures and masses to J0225−6920, each having a shorter orbital period. All of these systems likely exited a common-envelope phase under similar conditions and follow a similar evolutionary history. In each binary, both stars are likely helium core WDs. The characterization of these binaries has also been used in the study of Scherbak & Fuller (2023) to investigate the common envelope efficiency parameter, α, from a second mass transfer phase. Given the similarity of J0225−6920, our measurements are consistent with α ≈ 0.2 − 0.4, as inferred by these authors.
A further two compact systems that are comparable to J0225−6920, having similar star masses and temperatures, are SDSS J1152+0248 (Hallakoun et al. 2016; Parsons et al. 2020) and CSS 41 177 (Bours et al. 2014, 2015). These eclipsing DWD binaries have an orbital period of 144 and 167 min, respectively. J0225−6920 appears to bridge the period gap between all of these DWD binaries, which can be utilized in the future to study the impact of tides on orbital decay (e.g. Piro 2019).
Lastly, J0225−6920 is much alike SDSS J232230.20+050942.06 in regards to the core composition, being the first double helium core, DWD, LISA verification binary discovered (Brown et al. 2020). Systems such as these are vital gravitational wave sources for data quality verification of LISA when launched, given that the gravitational wave frequency and amplitude are solvable from the orbital parameters of the binary alone.
5 J0225−6920 AS A GRAVITATIONAL WAVE SOURCE
The orbit of J0225−6920 will decay due to a loss of orbital angular momentum from gravitational wave radiation and tides. If one assumes that the decay is dominated by gravitational wave radiation, the inspiral will obey
where fGW is the gravitational-wave frequency, equal to twice the orbital frequency, and the chirp mass is |$\mathcal {M}=(M_1M_2)^{3/5}/(M_1+M_2)^{1/5}$|. Solving for our derived binary constraints in Section 4, this means that the predicted orbital frequency derivative is |$\dot{f}=\left(1.03\pm 0.15\right)\times 10^{-19}$| Hz s−1, or, |$\dot{P}=\left(-8.27\pm 1.21\right)\times 10^{-13}$| s s−1.
The orbital decay can be precisely measured with continued observations using the time of arrival of a given orbital phase, where a number of WD binaries have been characterized in this way through continued observations (Barros et al. 2007; Hermes et al. 2012; de Miguel et al. 2018; Burdge et al. 2019a, b, 2020b; Munday et al. 2023). The deep eclipses of J0225−6920 make mid-eclipse timing the natural way to do so, where an earlier eclipse arrival time is explainable by an orbital decay. The deviation of the eclipse timing from a constant orbital period is dominated (to first order) by |$\dot{P} t^2/2P$| for general relativistic effects, with t the length of time following the first eclipse. From the data presented in this paper, the arrival time difference from the full span of data is currently a mere second, however, the bright Gaia magnitude |$\left(G=16.4\, \text{mag}\right)$| and its |$0.2\, \text{mag}$| deep primary eclipses makes J0225−6920 an exemplar system for a measured |$\dot{P}$| that can be utilized to probe non-gravitational wave induced orbital decay in the future. This may arise in J0225−6920 due to tidal dissipation (Benacquista 2011; Piro 2011; Fuller & Lai 2012; Piro 2019), in which orbital energy transferred into rotational energy of the stars is the cause of a faster orbital decay. Additionally, measurement of the orbital decay constrains the chirp mass, thus restricting the combinations of primary and secondary star masses for system modelling (e.g. Munday et al. 2023).
We find that timing of individual J0225−6920 primary and secondary eclipses in ideal conditions with ULTRACAM is accurate to 0.5 and 2 s, respectively. Considering this and the predicted orbital decay, we expect to obtain a period derivative precise to better than ≈5 per cent after 5 yr or ≈1 per cent after 10 yr; the precision scaling with t2. The observed deviation of the centre of eclipse arrival time will be ≈4 s and ≈15 s after 5 yr and 10 yr, respectively. Furthermore, the compact binary is ideally situated in the LISA frequency band, as shown in Fig. 4. Its distance of |$402.6^{+5.9}_{-6.8}$| pc and derived orbital parameters generates a characteristic strain of (4.5 ± 0.7) × 10−20, with a projected SNR of 1.3 ± 0.2 after a 4-yr LISA mission time, or 2.1 ± 0.4 after 10 yr (Wagg, Breivik & de Mink 2022a, b). J0225−6920 is thus a detectable verification binary for LISA and will be the closest double helium core DWD verification binary known to date; which is a class that is expected to comprise 31 per cent of all LISA detectable binaries (Lamberts et al. 2019). For comparison, the second- and third-closest double helium core DWD verification binaries are SDSS J063449.92+380352.2 at 435 pc and SMSS J033816.16−813929.9 at 533 pc (Kilic et al. 2021b).

A plot of some of the currently known LISA verification binary star systems, with characteristic strains predicted from a 4-yr integration time. Systems that are listed in Kupfer et al. (2023, see references therein) are included.6 These binaries are separated into the categories AM CVn, detached DWD or binaries comprising a hot subdwarf. The addition of J0225−6920 to these verification binaries is depicted. The curved black line represents the predicted detection threshold of LISA (Robson, Cornish & Liu 2019).
In the future, J0225−6920 is expected to merge into a single WD, likely undergoing a hot subdwarf phase during which helium is burnt to form a carbon–oxygen core (Han et al. 2002). For a circularized binary star system under purely general relativistic orbital decay, two stars will merge after a time (Peters 1964)
with a0 the present-day semimajor axis, G the gravitational constant, and c the speed of light. We hence predict J0225−6920 to merge within |$T_c(0.379\, R_\odot)=41\,$| Myr.
6 CONCLUSIONS
We have discovered that J0225−6920 is an eclipsing DWD binary with an orbital period of 47.19 min. Multiband light-curve modelling indicates that the system likely consists of two helium core WDs, where the primary has a DA spectral type, having a pure hydrogen surface composition, and the secondary likely does too. Its relatively close distance and brightness makes the binary a prime candidate to measure the orbital period decay in the future, key to investigate deviations from purely general relativistic orbital decay due to tides. The binary will be a detectable source for the LISA spacecraft, and we believe it is the first such DWD verification binary discovered by the TESS mission. J0225−6920 joins a small sample of fully characterized DWD binaries which will merge within a Hubble time. It is the closest double helium core DWD verification binary known to date; a class that is expected to account for 31 per cent of all LISA detectable DWDs (Lamberts et al. 2019).
ACKNOWLEDGEMENTS
ULTRACAM operations, SPL, and VSD are funded by the Science and Technology Facilities Council (grant number ST/V000853/1). JM was supported by funding from a Science and Technology Facilities Council (STFC) studentship. BB acknowledges funding through NASA award 80NSSC21K0364. IP was supported by STFC grant ST/T000406/1. SGP acknowledges the support of a STFC Ernest Rutherford Fellowship. MJG acknowledges funding by the European Research Council (ERC) under the European Union’s FP7 Programmeme, Grant number 833031 (PI: Dan Maoz). Support for this work was in part provided by NASA TESS Cycle 2 grant 80NSSC20K0592 and Cycle 4 grant 80NSSC22K0737, as well as the National Science Foundation under grant number NSFPHY-1748958. This study is based on observations collected at the European Southern Observatory under ESO programmeme 0109.D-0749(B). This paper uses observations made at the South African Astronomical Observatory (SAAO). For the purpose of open access, the authors have applied a creative commons attribution (CC BY) licence to any author accepted manuscript version arising. This research received funding from the European Research Council under the European Union’s Horizon 2020 research and innovation programmeme number 101002408 (MOS100PC). DJ acknowledges support from the Erasmus + programmeme of the European Union under grant number 2020-1-CZ01-KA203-078200. Financial support from the National Science Centre under project number UMO-2017/26/E/ST9/00703 is acknowledged.
DATA AVAILABILITY
Raw time series spectra and photometry will be made available upon reasonable request to the authors.
Footnotes
We follow the convention in this paper that the primary star is the hotter and brighter WD.
We present errors on the atmospheric constraints of the stars by combining in quadrature the statistical error from χ2 fitting with an external error of 1.2 per cent for Teff,1 and 0.038 dex for log g1 (Liebert, Bergeron & Holberg 2005). This is primarily to account for the error induced from flux calibration of spectra.
A negligible difference was found utilizing a Gaussian, Lorentzian, or Voigt line profile, or a combination of each to the measured radial velocities.
WD model atmospheres are not currently available in phoebe. Since there is ambiguity on the secondary’s contribution to the measured Teff,1 (Section 3.1), the spectral energy distribution for WD atmospheres would not be exact neither, making a light-curve extracted Teff,2 an approximation.
In phoebe2, this feature was disabled due to concerns of the accuracy of beaming factor computation from a non-implicit and fitted trend of the SED. In the Claret et al. (2020b) models, the beaming factor is calculated implicitly and integrated over the full SED. Therefore, the passed beaming constant is an accurate representation.
The data used to create Fig. 4 were obtained through https://gitlab.in2p3.fr/LISA/lisa-verification-binaries.
References
APPENDIX A: OBSERVATION LOG
An observing log of all J0225−6920 observations acquired with ULTRACAM which were subsequently used for light-curve modelling. Nights were not noticeably impacted by clouds. The duration represents the time that the telescope was on target after acquisition. MJDmid is the MJD at the centre of the observing period. In the instrument column, UCAM is an abbreviation for ULTRACAM. Observations in the us filter were 3 × the cadence stated. ULTRACAM has a dead time of 24 ms between adjacent exposures.
Night . | MJDmid . | Filters . | Telescope . | Instrument . | Cadence (s) . | Duration (min) . | Comments . |
---|---|---|---|---|---|---|---|
2021-07-07 | 59403.3 | us gs is | NTT | UCAM | 3.0 | 89.8 | Seeing 1.2 arcsec |
2021-07-08 | 59404.3 | us gs is | NTT | UCAM | 3.0 | 21.9 | Seeing 1.3 arcsec |
2021-07-09 | 59405.4 | us gs is | NTT | UCAM | 3.0 | 76.1 | Seeing 1.1–1.5 arcsec |
2021-07-15 | 59411.4 | us gs is | NTT | UCAM | 3.0 | 44.5 | Half with 1.5 arcsec seeing, half > 2.0 arcsec |
2021-07-16 | 59412.4 | us gs is | NTT | UCAM | 3.2 | 35.6 | Seeing 1.2 arcsec |
2022-09-17 | 59840.2 | us gs rs | NTT | UCAM | 3.3 | 316.2 | Seeing 1.8–2.2 arcsec |
2022-09-18 | 59841.3 | us gs rs | NTT | UCAM | 3.7 | 201.6 | Seeing 1.8–2.0 arcsec |
2022-09-19 | 59842.3 | us gs rs | NTT | UCAM | 3.2 | 142.1 | Seeing 2.2 arcsec with short spikes |
Night . | MJDmid . | Filters . | Telescope . | Instrument . | Cadence (s) . | Duration (min) . | Comments . |
---|---|---|---|---|---|---|---|
2021-07-07 | 59403.3 | us gs is | NTT | UCAM | 3.0 | 89.8 | Seeing 1.2 arcsec |
2021-07-08 | 59404.3 | us gs is | NTT | UCAM | 3.0 | 21.9 | Seeing 1.3 arcsec |
2021-07-09 | 59405.4 | us gs is | NTT | UCAM | 3.0 | 76.1 | Seeing 1.1–1.5 arcsec |
2021-07-15 | 59411.4 | us gs is | NTT | UCAM | 3.0 | 44.5 | Half with 1.5 arcsec seeing, half > 2.0 arcsec |
2021-07-16 | 59412.4 | us gs is | NTT | UCAM | 3.2 | 35.6 | Seeing 1.2 arcsec |
2022-09-17 | 59840.2 | us gs rs | NTT | UCAM | 3.3 | 316.2 | Seeing 1.8–2.2 arcsec |
2022-09-18 | 59841.3 | us gs rs | NTT | UCAM | 3.7 | 201.6 | Seeing 1.8–2.0 arcsec |
2022-09-19 | 59842.3 | us gs rs | NTT | UCAM | 3.2 | 142.1 | Seeing 2.2 arcsec with short spikes |
An observing log of all J0225−6920 observations acquired with ULTRACAM which were subsequently used for light-curve modelling. Nights were not noticeably impacted by clouds. The duration represents the time that the telescope was on target after acquisition. MJDmid is the MJD at the centre of the observing period. In the instrument column, UCAM is an abbreviation for ULTRACAM. Observations in the us filter were 3 × the cadence stated. ULTRACAM has a dead time of 24 ms between adjacent exposures.
Night . | MJDmid . | Filters . | Telescope . | Instrument . | Cadence (s) . | Duration (min) . | Comments . |
---|---|---|---|---|---|---|---|
2021-07-07 | 59403.3 | us gs is | NTT | UCAM | 3.0 | 89.8 | Seeing 1.2 arcsec |
2021-07-08 | 59404.3 | us gs is | NTT | UCAM | 3.0 | 21.9 | Seeing 1.3 arcsec |
2021-07-09 | 59405.4 | us gs is | NTT | UCAM | 3.0 | 76.1 | Seeing 1.1–1.5 arcsec |
2021-07-15 | 59411.4 | us gs is | NTT | UCAM | 3.0 | 44.5 | Half with 1.5 arcsec seeing, half > 2.0 arcsec |
2021-07-16 | 59412.4 | us gs is | NTT | UCAM | 3.2 | 35.6 | Seeing 1.2 arcsec |
2022-09-17 | 59840.2 | us gs rs | NTT | UCAM | 3.3 | 316.2 | Seeing 1.8–2.2 arcsec |
2022-09-18 | 59841.3 | us gs rs | NTT | UCAM | 3.7 | 201.6 | Seeing 1.8–2.0 arcsec |
2022-09-19 | 59842.3 | us gs rs | NTT | UCAM | 3.2 | 142.1 | Seeing 2.2 arcsec with short spikes |
Night . | MJDmid . | Filters . | Telescope . | Instrument . | Cadence (s) . | Duration (min) . | Comments . |
---|---|---|---|---|---|---|---|
2021-07-07 | 59403.3 | us gs is | NTT | UCAM | 3.0 | 89.8 | Seeing 1.2 arcsec |
2021-07-08 | 59404.3 | us gs is | NTT | UCAM | 3.0 | 21.9 | Seeing 1.3 arcsec |
2021-07-09 | 59405.4 | us gs is | NTT | UCAM | 3.0 | 76.1 | Seeing 1.1–1.5 arcsec |
2021-07-15 | 59411.4 | us gs is | NTT | UCAM | 3.0 | 44.5 | Half with 1.5 arcsec seeing, half > 2.0 arcsec |
2021-07-16 | 59412.4 | us gs is | NTT | UCAM | 3.2 | 35.6 | Seeing 1.2 arcsec |
2022-09-17 | 59840.2 | us gs rs | NTT | UCAM | 3.3 | 316.2 | Seeing 1.8–2.2 arcsec |
2022-09-18 | 59841.3 | us gs rs | NTT | UCAM | 3.7 | 201.6 | Seeing 1.8–2.0 arcsec |
2022-09-19 | 59842.3 | us gs rs | NTT | UCAM | 3.2 | 142.1 | Seeing 2.2 arcsec with short spikes |
APPENDIX B: CORNER PLOT FROM LIGHT-CURVE FITTING

A corner plot diagram of our phoebe light-curve modelling using an MCMC algorithm, showing the covariance of all free parameters.
APPENDIX C: TRAILED SPECTROGRAM

A trailed spectrogram of the H β line of J0225−6920 from our SOAR Goodman spectra. The reference 0 km s−1 is set for a zero-velocity at wavelength 4861 Å.
APPENDIX D: RADIAL VELOCITIES
The extracted radial velocity measurements of J0225−6920 presented in Fig. 2. The time-stamps presented have been corrected to a barycentric reference frame (MBJD, TDB) and the velocities (Vbary) have been corrected for a barycentric velocity also.
MBJD–59140 . | Vbary (km s−1) . | MBJD–59140 . | Vbary (km s−1) . |
---|---|---|---|
4.006026 | 185.6 ± 22.9 | 4.056087 | −230.8 ± 24.6 |
4.008408 | 150.5 ± 25.3 | 4.05825 | −232.7 ± 14.0 |
4.010571 | 108.1 ± 24.8 | 4.060413 | −126.8 ± 24.0 |
4.012734 | 123.1 ± 20.8 | 4.062576 | −113.3 ± 19.7 |
4.014897 | 6.9 ± 27.1 | 4.064739 | 44.2 ± 21.7 |
4.01706 | −78.1 ± 22.0 | 4.069236 | 133.1 ± 21.3 |
4.019222 | −89.7 ± 17.3 | 4.071399 | 192.0 ± 18.9 |
4.021386 | −221.9 ± 18.9 | 4.073562 | 241.3 ± 25.5 |
4.023549 | −207.1 ± 31.1 | 4.075725 | 190.5 ± 21.6 |
4.025712 | −181.3 ± 23.0 | 4.077888 | 131.0 ± 15.1 |
4.027875 | −112.0 ± 16.2 | 4.080051 | 7.7 ± 23.5 |
4.032223 | 37.6 ± 18.8 | 4.082214 | −40.3 ± 22.4 |
4.034386 | 141.0 ± 15.5 | 4.084377 | −103.7 ± 19.4 |
4.036549 | 174.3 ± 21.0 | 4.08654 | −170.0 ± 30.9 |
4.038712 | 254.6 ± 27.1 | 4.088703 | −197.4 ± 29.2 |
4.040875 | 223.1 ± 31.9 | 4.090866 | −221.7 ± 37.4 |
4.043039 | 194.2 ± 24.4 | 4.093029 | −154.9 ± 21.2 |
4.045201 | 109.7 ± 20.7 | 4.095192 | −94.8 ± 17.0 |
4.047364 | 27.7 ± 18.8 | 4.097355 | −7.1 ± 18.8 |
4.049527 | −34.5 ± 19.9 | 4.099518 | 125.5 ± 25.9 |
4.05169 | −73.6 ± 29.0 | 4.101681 | 198.0 ± 24.0 |
4.053924 | −212.7 ± 25.0 |
MBJD–59140 . | Vbary (km s−1) . | MBJD–59140 . | Vbary (km s−1) . |
---|---|---|---|
4.006026 | 185.6 ± 22.9 | 4.056087 | −230.8 ± 24.6 |
4.008408 | 150.5 ± 25.3 | 4.05825 | −232.7 ± 14.0 |
4.010571 | 108.1 ± 24.8 | 4.060413 | −126.8 ± 24.0 |
4.012734 | 123.1 ± 20.8 | 4.062576 | −113.3 ± 19.7 |
4.014897 | 6.9 ± 27.1 | 4.064739 | 44.2 ± 21.7 |
4.01706 | −78.1 ± 22.0 | 4.069236 | 133.1 ± 21.3 |
4.019222 | −89.7 ± 17.3 | 4.071399 | 192.0 ± 18.9 |
4.021386 | −221.9 ± 18.9 | 4.073562 | 241.3 ± 25.5 |
4.023549 | −207.1 ± 31.1 | 4.075725 | 190.5 ± 21.6 |
4.025712 | −181.3 ± 23.0 | 4.077888 | 131.0 ± 15.1 |
4.027875 | −112.0 ± 16.2 | 4.080051 | 7.7 ± 23.5 |
4.032223 | 37.6 ± 18.8 | 4.082214 | −40.3 ± 22.4 |
4.034386 | 141.0 ± 15.5 | 4.084377 | −103.7 ± 19.4 |
4.036549 | 174.3 ± 21.0 | 4.08654 | −170.0 ± 30.9 |
4.038712 | 254.6 ± 27.1 | 4.088703 | −197.4 ± 29.2 |
4.040875 | 223.1 ± 31.9 | 4.090866 | −221.7 ± 37.4 |
4.043039 | 194.2 ± 24.4 | 4.093029 | −154.9 ± 21.2 |
4.045201 | 109.7 ± 20.7 | 4.095192 | −94.8 ± 17.0 |
4.047364 | 27.7 ± 18.8 | 4.097355 | −7.1 ± 18.8 |
4.049527 | −34.5 ± 19.9 | 4.099518 | 125.5 ± 25.9 |
4.05169 | −73.6 ± 29.0 | 4.101681 | 198.0 ± 24.0 |
4.053924 | −212.7 ± 25.0 |
The extracted radial velocity measurements of J0225−6920 presented in Fig. 2. The time-stamps presented have been corrected to a barycentric reference frame (MBJD, TDB) and the velocities (Vbary) have been corrected for a barycentric velocity also.
MBJD–59140 . | Vbary (km s−1) . | MBJD–59140 . | Vbary (km s−1) . |
---|---|---|---|
4.006026 | 185.6 ± 22.9 | 4.056087 | −230.8 ± 24.6 |
4.008408 | 150.5 ± 25.3 | 4.05825 | −232.7 ± 14.0 |
4.010571 | 108.1 ± 24.8 | 4.060413 | −126.8 ± 24.0 |
4.012734 | 123.1 ± 20.8 | 4.062576 | −113.3 ± 19.7 |
4.014897 | 6.9 ± 27.1 | 4.064739 | 44.2 ± 21.7 |
4.01706 | −78.1 ± 22.0 | 4.069236 | 133.1 ± 21.3 |
4.019222 | −89.7 ± 17.3 | 4.071399 | 192.0 ± 18.9 |
4.021386 | −221.9 ± 18.9 | 4.073562 | 241.3 ± 25.5 |
4.023549 | −207.1 ± 31.1 | 4.075725 | 190.5 ± 21.6 |
4.025712 | −181.3 ± 23.0 | 4.077888 | 131.0 ± 15.1 |
4.027875 | −112.0 ± 16.2 | 4.080051 | 7.7 ± 23.5 |
4.032223 | 37.6 ± 18.8 | 4.082214 | −40.3 ± 22.4 |
4.034386 | 141.0 ± 15.5 | 4.084377 | −103.7 ± 19.4 |
4.036549 | 174.3 ± 21.0 | 4.08654 | −170.0 ± 30.9 |
4.038712 | 254.6 ± 27.1 | 4.088703 | −197.4 ± 29.2 |
4.040875 | 223.1 ± 31.9 | 4.090866 | −221.7 ± 37.4 |
4.043039 | 194.2 ± 24.4 | 4.093029 | −154.9 ± 21.2 |
4.045201 | 109.7 ± 20.7 | 4.095192 | −94.8 ± 17.0 |
4.047364 | 27.7 ± 18.8 | 4.097355 | −7.1 ± 18.8 |
4.049527 | −34.5 ± 19.9 | 4.099518 | 125.5 ± 25.9 |
4.05169 | −73.6 ± 29.0 | 4.101681 | 198.0 ± 24.0 |
4.053924 | −212.7 ± 25.0 |
MBJD–59140 . | Vbary (km s−1) . | MBJD–59140 . | Vbary (km s−1) . |
---|---|---|---|
4.006026 | 185.6 ± 22.9 | 4.056087 | −230.8 ± 24.6 |
4.008408 | 150.5 ± 25.3 | 4.05825 | −232.7 ± 14.0 |
4.010571 | 108.1 ± 24.8 | 4.060413 | −126.8 ± 24.0 |
4.012734 | 123.1 ± 20.8 | 4.062576 | −113.3 ± 19.7 |
4.014897 | 6.9 ± 27.1 | 4.064739 | 44.2 ± 21.7 |
4.01706 | −78.1 ± 22.0 | 4.069236 | 133.1 ± 21.3 |
4.019222 | −89.7 ± 17.3 | 4.071399 | 192.0 ± 18.9 |
4.021386 | −221.9 ± 18.9 | 4.073562 | 241.3 ± 25.5 |
4.023549 | −207.1 ± 31.1 | 4.075725 | 190.5 ± 21.6 |
4.025712 | −181.3 ± 23.0 | 4.077888 | 131.0 ± 15.1 |
4.027875 | −112.0 ± 16.2 | 4.080051 | 7.7 ± 23.5 |
4.032223 | 37.6 ± 18.8 | 4.082214 | −40.3 ± 22.4 |
4.034386 | 141.0 ± 15.5 | 4.084377 | −103.7 ± 19.4 |
4.036549 | 174.3 ± 21.0 | 4.08654 | −170.0 ± 30.9 |
4.038712 | 254.6 ± 27.1 | 4.088703 | −197.4 ± 29.2 |
4.040875 | 223.1 ± 31.9 | 4.090866 | −221.7 ± 37.4 |
4.043039 | 194.2 ± 24.4 | 4.093029 | −154.9 ± 21.2 |
4.045201 | 109.7 ± 20.7 | 4.095192 | −94.8 ± 17.0 |
4.047364 | 27.7 ± 18.8 | 4.097355 | −7.1 ± 18.8 |
4.049527 | −34.5 ± 19.9 | 4.099518 | 125.5 ± 25.9 |
4.05169 | −73.6 ± 29.0 | 4.101681 | 198.0 ± 24.0 |
4.053924 | −212.7 ± 25.0 |