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PARALLAXES AND PARSECS
One useful mathematical relation to remember is the inverse relationship between
distance and parallactic angle:
1
????????(angle in arcseconds) = ---------------------
(distance in parsecs)
So, for example, if the parallax of a distant object, measured using Earth's orbit
as a baseline:
is 1 arcsecond, then the distance is 1 parsec,
is 2 arcseconds, " " 1/2 parsec,
is 3 arcseconds, " " 1/3 parsec,
is 1/2 arcsecond, " " 2 parsecs,
is 1/3 arcsecond, " " 3 parsecs,
is 1/9 arcsecond, " " 9 parsecs,
and so on. This relationship is merely a coincidence of how a parsec is defined.
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