Sampling errors in the determination of the total amount of mass at the solar position

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrometry, Galactic Structure, Mass, Milky Way Galaxy, Solar Position, Star Distribution, Astronomical Catalogs, Density Distribution, Error Analysis, Oort Cloud, Sampling, Space Density, Stellar Orbits

Scientific paper

The sampling errors that occur in the determination of the total volume and column density of mass at the solar position have been evaluated by analyzing simulated star catalogs as if they were observed sets of stars. The simulations were achieved by generating ensembles of stellar orbits that pass through the solar position in a realistic mass model of the Galaxy. These orbits are sampled in a way that mimics observing procedures in order to form pseudo-star catalogs. The catalogs are used to determine the sampling errors in a derivation of the total volume density of matter near the Sun (the Oort limit). The simulations show that the overall analysis is unbiased. It is demonstrated that sampling errors alone cannot account for the missing matter in the disk, as analyzed most recently by Bahcall.

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