6. [3pt]
The best parallaxes obtained with the Hipparcos satellite have an
uncertainty of about 0.001 arc-seconds. If you want to measure an
accurate and belieavable distance to a star, the parallax needs to
be about 7 times larger than this uncertainty. What is the farthest
distance a star can be to have an accurate distance from Hipparcos?
Answer in parsecs.
7. [3pt]
The disk of our Galaxy is 100,000 light-years in diameter. What
fraciton of the diameter of the Galaxy's disk is the distance for
which we can measure accurate parallaxes?
8. [3pt]
The Gaia satellite will have greatly improved precision over
Hipparcos. The average uncertainty for most Gaia parallaxes will be
about 50 micro-arc-seconds, or 0.00005 ar-seconds. How many times
farther away will Gaia be able to measure distances to relative to
Hipparcos?
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