The Parameters of Galactic Kinematics Determined from Total Least Squares

Astronomy and Astrophysics – Astronomy

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

5

Scientific paper

Problems of Galactic kinematics have usually been solved by the method of least squares, but this may lead to biased results because least squares assume that error resides only in the observations, not in the equations of condition. The latter, however, generally incorporate error, at least in some of the columns of the data matrix. Total least squares represents the ideal mathematical tool for just this sort of problem. In this paper, the method, or better stated a mixed total-ordinary least squares method, is applied to over 100,000 stars taken from the Hipparcos catalog to calculate twelve parameters of Galactic kinematics: the nine components of the deformation tensor, related to such quantities as the Oort A and B parameters, the K term, Galactic vorticity, and the Solar motion. Reasonable values for all of these is obtained, showing that high quality astrometric data and an adequate reduction method can produce good results for global solutions when in the past this proved difficult or impossible.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The Parameters of Galactic Kinematics Determined from Total Least Squares does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Parameters of Galactic Kinematics Determined from Total Least Squares, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Parameters of Galactic Kinematics Determined from Total Least Squares will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1107166

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.