The basic solar motion and the median solar motion

Statistics

Scientific paper

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Kinematics, Median (Statistics), Solar Neighborhood, Solar Velocity, Statistical Analysis, Stellar Motions, Astronomical Catalogs, Mode (Statistics), Radial Velocity, Velocity Distribution

Scientific paper

The paper provides a derivation of the basic solar motion (BSM) based upon the sample of stars from the Bright Star Catalog (5700 stars) which has been used in previous papers for the study of the standard solar motion. The basic motion derived from this very large sample is definded by V0 = 12 km/s directed toward l0 = 40 deg and b0 = 19 deg. An analysis of the precision of the results and of artificial samples shows that the BSM is ill defined if small samples (n less than 1000 stars) are used, as was done previously. We introduce the solar motion corresponding to the median values of the velocity distributions and show that the median values are more stable than the modal values. We recommend the abandonment of the terminology of 'standard' and 'basic' solar motion in favor of the use of 'mean' and 'modal' solar motion.

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