Rectilinear trajectories of double stars: Comparison of different methods applied to H 5094 /right ascension equals 19 H 06.2 m; declination equals 34 deg 01 min; equinox 1900/ - Effect of errors in the method of least squares

Details Rectilinear trajectories of double stars: Comparison of different methods applied to H 5094 /right ascension equals 19 H 06.2 m; declination equals 34 deg 01 min; equinox 1900/ - Effect of errors in the method of least squares Rectilinear trajectories of double stars: Comparison of different methods applied to H 5094 /right ascension equals 19 H 06.2 m; declination equals 34 deg 01 min; equinox 1900/ - Effect of errors in the method of least squares

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....61..453d&link_type=abstract

Astronomy and Astrophysics, vol. 61, no. 4, Nov. 1977, p. 453-457. In French. Research supported by the Conselho Nacional de Pe

Astronomy and Astrophysics

Astrophysics

1

Astronomical Coordinates, Binary Stars, Stellar Motions, Trajectory Analysis, Astrometry, Error Analysis, Least Squares Method

Scientific paper

The problem of determining the rectilinear trajectory of the secondary star in a double star system with respect to a supposedly fixed primary, given n observations of the polar coordinates at n different times, is formulated by projection. The direct method of least squares and the method of mean locations with differential correction are compared, and the least squares method is shown to be more effective for 17 observation of the pair h 5094. Introduction of a remote time observation and several erroneous observations leads to large variations in the residues, and classical improvement techniques lead to serious deviations on the principal series of observations.

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