Journal Article

Moment Approach to Determining the Orbital Elements of an Astrometric Binary with a Low Signal-to-Noise Ratio

Hirofumi Iwama, Hideki Asada and Kei Yamada

in Publications of the Astronomical Society of Japan

Volume 65, issue 1 Published in print February 2013 | ISSN: 0004-6264
Published online February 2013 | e-ISSN: 2053-051X | DOI: http://dx.doi.org/10.1093/pasj/65.1.2
Moment Approach to Determining the Orbital Elements of an Astrometric Binary with a Low Signal-to-Noise Ratio

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  • Astrometry and Celestial Mechanics
  • Astronomical Instrumentation, Methods, and Techniques
  • Stars

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A moment approach to the orbit determination of an astrometric binary with a 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 X-1, and also at a star wobbled by planets. As an exact solution to the nonlinearly coupled equation, the orbital elements are written in terms of the second and third moments of projected positions that are measured by astrometry. This may hold the possibility of the true orbit estimate.

Keywords: astrometry; celestial mechanics; methods: analytical; binaries: close

Journal Article.  5628 words.  Illustrated.

Subjects: Astrometry and Celestial Mechanics ; Astronomical Instrumentation, Methods, and Techniques ; Stars

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