Improving the moment approach for astrometric binaries : possible application to Cygnus X-1

• Kei YAMADA

• Masaki S. YAMAGUCHI

• Hideki ASADA

Abstract

A moment approach for orbital determinations of astrometric binaries from astrometric observations alone has been recently studied for a low signal-to-noise ratio (Iwama et al. 2013, PASJ, 65, 2). Through avoiding a direct use of the time-consuming Kepler equation, temporal information is taken into account to increase the accuracy of statistical moments. As numerical tests, 100 realizations are done and the mean value and the standard deviation are also evaluated. For a semimajor axis, the difference between the mean of the recovered values and the true value decreases to less than a tenth in the case of 10000 observed points. Therefore, the present approach works better than the previous one for orbital determinations when one has a large number of observed points. The present approach is thus applicable to Cyg X-1.

Journal

• Publications of the Astronomical Society of Japan

  Publications of the Astronomical Society of Japan 66 (5), 2014

  Tokyo : Astronomical Society of Japan

Keywords

• astrometry
• binaries
• close
• celestial mechanics
• methods
• analytical

Details

• CRID: 1520010380745148544
• NII Article ID: 40020264881
• NII Book ID: AA1082896X
• ISSN: 00046264
• ISSN: 2053051X
• DOI: 10.1093/pasj/psu071
• NDL BIB ID: 025913833
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I025913833
• Web Site: https://academic.oup.com/pasj/article-pdf/66/5/97/54684956/pasj_66_5_97.pdf
• Text Lang: en
• NDL Source Classification:
  • ZM33(科学技術--宇宙科学)
• Data Source:
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN