For very distant stars, how small can the measurable parallax angle ($ u$) become for ground-based techniques?
Answer
0.01 arcseconds or less
As distance increases, the parallax angle shrinks dramatically. For stars measured accurately from the ground, the resulting parallax angle is often extremely small, around one-hundredth of an arcsecond or smaller.
Related Questions
What is the definition of proper motion?In what units is proper motion quantified?What formula relates tangential velocity ($v_t$), proper motion ($
u$), and distance ($d$)?If a star's distance is doubled, assuming its tangential velocity stays the same, how does its proper motion change?What observational technique is required to determine the distance ($d$) necessary for calculating tangential velocity from proper motion?What measurement baseline is utilized when determining distance via parallax?For very distant stars, how small can the measurable parallax angle ($
u$) become for ground-based techniques?What is the second major hurdle, independent of distance, for measuring the proper motion of a distant star?What key source of error is eliminated by conducting proper motion observations using space telescopes?Which star is famous for possessing one of the largest proper motions known?If the error margin in measuring a star's position on a single photographic plate is $\pm 0.005$ arcseconds, what challenge arises when measuring a tiny proper motion displacement over two decades?