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Binary stars are pairs that orbit a common center of mass. Some, called "spectroscopic binaries," are detected only by the wobble of their spectral lines, not by visual separation. When advanced astrometric techniques finally split the two stars, we get a "resolved spectroscopic binary" (RSB). RSBs are gold mines because they provide dynamical parallaxesβ€”distance measurements derived from stellar motionβ€”offering an alternative to traditional trigonometric parallaxes.

The catch is that RSBs are scarce: only a handful are known compared to the huge number of spectroscopic binaries. Hence astronomers urgently need a way to spot which systems could become RSBs with current instruments. This paper introduces a method to estimate the probability that a spectroscopic binary can be resolved into two separate stars. The approach uses known dataβ€”orbital amplitude, distance, estimated stellar massesβ€”to calculate the chance that the angular separation exceeds a telescope's resolution limit.

Applying the method to the SB9 catalogue, which lists thousands of spectroscopic binaries, the authors produced a preliminary list of promising candidates. Observed with high‑resolution telescopes (e.g., interferometers or space missions), these systems could reveal their two components, expanding the RSB inventory and sharpening our map of the Milky Way's distances.

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Resolved spectroscopic binaries (RSBs) provide dynamical parallaxes by applying Kepler's third law. By measuring the apparent orbital amplitude (a'') and knowing the orbital period (P) and total system mass (M_tot), the distance (d) is derived from d = a / a'', where a is the true semi‑major axis calculated via a^3 = G M_tot P^2 / (4Ο€^2). This bypasses uncertainties of trigonometric parallaxes, especially for distant or highly extincted systems. The paper's method estimates the minimum resolvable angular separation (ΞΈ_res) using ΞΈ_res β‰ˆ Ξ» / D, with Ξ» the observing wavelength and D the telescope aperture. This is compared to the predicted angular separation from orbital parameters (e, i, Ο‰, Ξ©) and distance. The model also integrates probability distributions of inclination (i) and eccentricity (e) typical of binaries, yielding an overall resolution probability P_res. Applying it to the SB9 catalogue required normalizing stellar masses via mass‑luminosity (M‑L) relations calibrated on evolutionary models (e.g., PARSEC). Preliminary results show roughly 5β€―% of catalog binaries have P_res > 0.3, a threshold deemed feasible for current optical interferometers. These candidates will be priority targets for VLTI, CHARA, or future missions like LISA‑Astro, which can confirm their RSB status and refine dynamical parallaxes across the Galaxy.

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Authors:
Ross TurnerStanislav Shabala
Date Published:
Original Article www.mdpi.com
Fact-check verified on 21/06/2026
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Creative Commons License CC BY-NC-SA 4.0

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