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All stars in Milky Way equal one square light year? 
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#1
Dec2113, 11:21 PM

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Hello,
Can anyone confirm or, refute and correct the following statements? The volume of our galaxy, is roughly 8 trillion cubic light years. The combined volume of all the stars in our galaxy only equals one cubic light year. Thanks for any help you can provide! Rusty 


#2
Dec2213, 01:24 AM

P: 2,990

Here's some general scale stats that may help:
http://en.wikipedia.org/wiki/Orders_...nitude_(volume) and the Milky Way volume is computed to be 39 × 10E12 cubic light years or 39 trillion cubit light years (US) and Milky Way stats: http://en.wikipedia.org/wiki/Milky_way with ~400 billion stars in total You can use these to work out whether the 1 cubic light year is correct or not. There is a lot of guesstimation here in order to come up with an answer like whats the average size of a Milky Way star for example as computed from the number of stars and the population percentages of stars dwarfs vs red giants vs ... 


#3
Dec2213, 02:11 AM

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Rusty I think the combined volume of all the stars in Milkyway is much less than a cubic lightyear.
You can use the google calculator to quickly discover this. For starters put "solar mass" in the box and press = then put "100 billion solar mass" and press = It will give you kilograms. There are estimated 400 billion stars and the average star mass is about HALF the solar mass. So the mass of the stars is roughly on the order of …. put in "200 billion solar mass" and press = If you crowded all those stars into a cubic LY box the density would still be very low compared with the average density of the sun, or any ordinary star. they would not be taking up anywhere near the whole cubic LY. You can check this by simply making google calculate what the density would be. Put this into the box: "200 billion solar mass/cubic light year" and press = It is much less than the density of water. Of course red giants are bloated up big and have low density, but they are not a large part of the population. Most stars have density more like the sunroughly on order of density of water. If I put in "400 billion solar mass/cubic light year" I get something like a millionth of a kg per cubic meter. That is a billionth of the density of water. It is much less than normal density of a star. What I'm saying is that the combined volume of all the stars in our galaxy does not amount to even a millionth of a cubic lightyear. That is still way too big an estimate of their combined volume. But I could be wrong. I just made a quick estimate using google calculator. Perhaps someone else will find a mistake and correct what I said. 


#4
Dec2213, 06:14 AM

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All stars in Milky Way equal one square light year?
There are 86400 seconds in a day, so a lightday is about 3x10^12 meters. With 3x10^2 days in a year, cube that back out, and Marcus's "does not amount to even a millionth of a cubic light year" is looking pretty good. (I used google for the solar volume, long ago memorized 3x10^8, 86400, 365) 


#5
Dec2213, 03:09 PM

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In five billion years or so our own Sun will swell up to about 215 times it's current size in terms of radius, or ten million times its current size in terms of volume. Becoming a red giant is the fate of all stars between about 0.5 solar masses and 8 solar masses. That's about 1/4 of all stars that will eventually become red giants. Since these stars will spend about 10 to 20% of their life spans as a red giant, that means between 1/40^{th} to 1/20^{th} of the stars are red giants. Because they are many orders of magnitude more voluminous than their yellow dwarf counterparts, that small fraction of stars represents a huge fraction of the total stellar volume. The red supergiants and hypergiants make the red giants look tiny. They can be over three billion times the size of the Sun in terms of volume. I couldn't find a nice breakdown of stellar population of these extremely large stars, but that factor of a billion means that only a few are needed to make this tiny population of stars dominate over all others in terms of volume. Just one of them is more voluminous than are all of the red dwarfs. 


#6
Dec2213, 03:48 PM

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#7
Dec2213, 05:20 PM

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But you're not wrong in rejecting the notion that "the combined volume of all the stars in our galaxy only equals one cubic light year." A decent sized red hypergiant is about one cubic light hour in volume. It would take on the order of 10^{12} hypergiants to equal a cubic light year, or about 10^{15} red giants.
The combined volume of all the stars in a galactic supercluster is *maybe* one cubic light year. 


#8
Dec2213, 05:33 PM

P: 29

Thank you for your replies! I find what you say incredible but I'm sure you're right. Still, let me explain the context...or, where this issue is coming from. I'm a science fiction writer and in one of my stories an object traveling close to the speed of light (.999999) enters the rim of our spiral galaxy and travels in a relative straight line to the galaxies center. One person is making the point that the odds of this object hitting a star is very low and he explains this by saying that of the 8 trillion cubic light years of our galaxy only ???? cubic light years of it is stars.
I don't think the context changes anything but I like to be as accurate as I can so, what should replace the '????' above? Thanks so much for your help!! r 


#9
Dec2213, 08:00 PM

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#10
Dec2313, 09:25 AM

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r 


#11
Dec2813, 05:47 PM

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Damo 


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