Few Observation Binary Orbit Solver (FOBOS) from two (or more) astrometric observations

Abstract

We have developed a new, fast method of estimating the orbital properties of a binary or triple system using as few as two epochs of astrometric data. FOBOS (Few Observation Binary Orbit Solver) uses a flat prior brute force Monte Carlo method to produce probability density functions of the likely orbital parameters. We test the code on fake observations and show that it can (fairly often) constrain the semi-major axis to within a factor of 2-3, and the inclination to within $\sim$20${}^{\circ }$ from only two astrometric observations. We also show that the 68 and 95 per cent confidence intervals are statistically reliable. Applying this method to triple systems allows the relative inclination of the secondary and tertiary star orbits to be constrained. FOBOS can usually find a statistically significant number of possible matches in CPU minutes for binary systems, and CPU hours for triple systems.

Accepted for publication in MNRAS, 15 pages (plus 3 page appendix), 18 figures

References in corpus (5)

• orbitize!: A Comprehensive Orbit-fitting Software Package for the High-contrast Imaging Community
• Discovery of a low-mass companion inside the debris ring surrounding the F5V star HD206893
• In-depth study of moderately young but extremely red, very dusty substellar companion HD206893B
• Multiplicity in Early Stellar Evolution
• The Exoplanet Simple Orbit Fitting Toolbox (ExoSOFT): An Open-Source Tool for Efficient Fitting of Astrometric and Radial Velocity Data

Cited by in corpus (1)

• The Great Planetary Heist: Theft and capture in star-forming regions