Although the catalog lists 773 unique systems, each of the 103
ambiguous EBs appear in both possible configurations, raising
the total number of catalog entries to 876. Below, we briefly
describe the catalog's 38 columns. The column units, if any,
are listed in square brackets:
(1) Category - the EB's classification.
(2) Binary name - the EB's designation, which is composed of its TrES field and index.
(3) \alpha - the EB's right ascension (J2000).
(4) \delta - the EB's declination (J2000).
(5) Period [days] - the EB's orbital period.
(6) Period uncertainty [days] - the uncertainty in the EB's orbital period.
(7) Mass_1 [M_\sun] - the mass of the EB's primary (more massive) component.
(8) Mass_1 uncertainty [M_\sun] - the uncertainty in the primary component's mass.
(9) Mass_2 [M_\sun] - the mass of the EB's secondary (less massive) component.
(10) Mass_2 uncertainty [M_\sun] - the uncertainty in the secondary component's mass.
(11) Age [Gyr] - the age of the EB (assumed to be coeval).
(12) Age uncertainty [Gyr] - the uncertainty in the EB's age.
(13) Score - a weighted reduced \chi^2 of the MECI model fit.
(14) Isochrone source - isochrone tables used [Y2 or Baraffe].
(15) Color weighting - the relative weight (w) of the LC fit, compared to the color fit.
(16) PM source - the database that provided the proper motion measurement.
(17) PM_\alpha [mas/yr] - the right ascension component of the EB's proper motion.
(18) PM_\delta [mas/yr] - the declination component of the EB's proper motion.
(19) Location\ error [arcsec] - the distance between our listed location (columns 3 and 4) and the location listed by the proper motion database.
(20) mag_B - the USNO-B B-band observational magnitude of the EB (average of both magnitude measurements, if available).
(21) mag_R - the USNO-B R-band observational magnitude of the EB (average of both magnitude measurements, if available).
(22) Third-light fraction - the fraction of third-light flux (R-band) blended into the LC (i.e. the flux within 30", excluding the target, divided by the total flux within 30").
(23) mag_J - the 2MASS observational J-band magnitude of the EB, converted to ESO J-band.
(24) mag_H - the 2MASS observational H-band magnitude of the EB, converted to ESO H-band.
(25) mag_K - the 2MASS observational K_s-band magnitude of the EB, converted to ESO K-band.
(26) Mag_J - the absolute ESO J-band magnitude of the EB listed in the isochrone tables.
(27) Mag_H - the absolute ESO H-band magnitude of the EB listed in the isochrone tables.
(28) Mag_K - the absolute ESO K-band magnitude of the EB listed in the isochrone tables.
(29) Distance [pc] - the distance to the EB, as calculated from the extinction-corrected distance modulus.
(30) A(V) - the EB's V-mag absorption due to Galactic interstellar extinction (assuming R_V = 3.1).
(31) sin(i) - the sine of the EB's orbital inclination.
(32) |e cos(\omega)| - a robust lower limit for the EB's eccentricity.
(33) Eccentricity - the orbital eccentricity of the EB.
(34) Eccentricity uncertainty - the uncertainty in the orbital eccentricity of the EB.
(35) \Delta mag_1 - the r-band primary (deeper) eclipse depth in magnitudes.
(36) Epoch_1 - the Heliocentric Julian date (HJD) at the center of a primary eclipse, minus 2400000.
(37) \Delta mag_2 - the r-band secondary (shallower) eclipse depth in magnitudes.
(38) Epoch_2 - the Heliocentric Julian date (HJD) at the center of a secondary eclipse, minus 2400000.
Note that the value of the uncertainties (columns 6, 8 10, 12, and
34), were calculated by measuring the curvature of the
parameter-space \chi^2 contour, near its minimum. This method
implicitly assumes a Gaussian distribution of the parameter
likelihood. If the likelihood distribution not Gaussian, but
rather has a flattened (boxy) distribution, then the computed
uncertainty becomes large. In extreme cases the estimated formal
uncertainty can be larger than the measurement itself.