Moment Approach for Determining the Orbital Elements of an Astrometric Binary with Low Signal-to-noise Ratio
arXiv:1208.2099 · doi:10.1093/pasj/65.1.2
Abstract
A moment approach for orbit determinations of an astrometric binary with low signal-to-noise ratio from astrometric observations alone is proposed, especially aiming at a close binary system with a short orbital period such as Cyg-X1 and also at a star wobbled by planets. As an exact solution to the nonlinearly coupled equation system, the orbital elements are written in terms of the second and third moments of projected positions that are measured by astrometry. This may give a possible estimation of the true orbit.
18 pages, 5 figures, 1 table; accepted by PASJ
References in corpus (2)
Cited by in corpus (3)
- Observations of Galactic star-forming regions with the Cosmic Background Imager at 31 GHz
- Uncovering the identities of compact objects in high-mass X-ray binaries and gamma-ray binaries by astrometric measurements
- Improving the Moment Approach for Astrometric Binaries: Possible Application to Cygnus X-1