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Everyone's eyes differ, but a figure of around 6000 visible stars is
often quoted (with around half visible from any point on earth). At
sea level in a rural area you might see around 2000, and in an urban
area you might be lucky to see 20.
You can't count the stars directly. Due to the rotation of the earth,
more keep appearing on one side and disappearing from the other. As
atmospheric conditions change, some stars become visible and some
become invisible. Instead, people look through a tube, count the stars
in that field of view, and scale that figure up to obtain an estimate
for the total.
If you want a specific number, The Yale Bright Star Catalog catalogs
the "naked eye visible stars", which they consider to be those with a
magnitude of 6.5 or brighter. Those have been catalogued and listed,
and there are 9110 entries in that list:
The Bright Star Catalog
http://www.alcyone.de/SIT/bsc/
Visible, with telescopes, but NOT to the naked eye:
The universe contains about 70 sextillion - or 70 thousand million million million - observable stars, according to the most accurate estimate yet made of the number - a figure that far exceeds all previous estimates.
The calculation was made by a team led by astronomer Dr Simon Driver of the Australian National University in Canberra and announced this week at the 25th General Assembly of the International Astronomical Union in Sydney.
"Even for a professional astronomer used to dealing in monster numbers, this is mind-boggling," said Driver. "This is not the total number of stars in the universe, but it's the number within range of our telescopes. The real number could be much, much larger still - some people think it is infinite."
Even so, 70 sextillion is greater than the estimated number of sand grains on all the world's beaches and deserts - about 10 times more.
(70,000,000,000,000,000,000,000,000)



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