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On a Source of Systematic Error in Absolute Measurement of Galactocentric Distance from Solving for the Stellar Orbit Around Sgr A* | | Igor' I. Nikiforov
; | | Date: |
6 Mar 2008 | | Abstract: | Eisenhauer et al. (2003, 2005) derived absolute (geometrical) estimates of
the distanceto the center of the Galaxy, $R_0$, from the star S2 orbit around
Sgr A* on the assumption that the intrinsic velocity of Sgr A* is negligible.
This assumption produces the source of systematic error in $R_0$ value owing to
a probable motion of Sgr A* relative to the accepted velocity reference system
which is arbitrary to some extent. Eisenhauer et al. justify neglecting all
three spatial velocity components of Sgr A* mainly by low limits of Sgr A*’s
proper motion of 20--60 km/s. In this brief paper, a simple analysis in the
context of the Keplerian dynamics was used to demonstrate that neglect of even
low (perhaps, formal) radial velocity of Sgr A* leads to a substantial
systematic error in $R_0$: the same limits of 20--60 km/s result in $R_0$
errors of 1.3--5.6%, i.e., (0.1--0.45)$ imes (R_0/8)$ kpc, for current S2
velocities. Similar values for Sgr A*’s tangential motion can multiply this
systematic error in the case of S2 orbit by factor ${approx}1.5$--1.9 in the
limiting cases. | | Source: | arXiv, 0803.0825 | | Services: | Forum | Review | PDF | Favorites | |
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