<p><em>Too long for a comment:</em></p>
<p>There is one ambiguity you are going to have to deal with, because nobody agrees what “star” means.</p>
<p>Suppose that you see three points of light in the sky, and then with a telescope or good binoculars you see that one of those three points is a pair of stars very close together. If you like, name the three things you see as A B and CD.</p>
<p>Then <strong>both</strong> the following statements are true:</p>
<ol>
<li>One in three stars you see in the sky is a binary: A, B, CD.</li>
<li>One in two stars is <strong>in</strong> a binary. A and B aren’t, C and D are.</li>
</ol>
<p>Different writers will use either (1) or (2) depending on the impression they want to give you. Writers also copy from each other and some of them will not know or care <em>which</em> of the two approaches they are copying.</p>
<p>Thus some of the discrepancies you are in your sources may be linguistic, not real.</p>

CC BY-SA 4.0
2023-12-11T08:53:26.647Z
The linguistics could maybe explain why someone would say more than half of stars are *single*. That is because it is true that more than half of star systems consist of single stars. I don't think that confusion can attach to someone claiming that more than half of stars are in binary systems, as here.
ProfRob
CC BY-SA 4.0
2023-12-11T08:09:29.207Z
2023-12-11T08:09:29.207Z
Martin Kochanski
<p>That's a good question with a non-intuitive answer. The main point is: one has to distinguish <em>stellar systems</em> from <em>stars</em> themselves. Consider an essemble of 30 stellar systems. 33% or 10 of them are double stars. Then we have overall 40 stars where 20 of them (50%) are stars in multiple systems.</p>
<p>The reality here is complicated. There is a <a href="https://ui.adsabs.harvard.edu/abs/2013ARA%26A..51..269D/abstract" rel="nofollow noreferrer">review article by Gaspard Duchêne and Adam Kraus on stellar multiplicity</a>. They provide a table of the frequency of multiplicity:</p>
<ul>
<li><span class="math-container">$&lt; 0.1$</span> solar masses: 22%</li>
<li><span class="math-container">$0.1 - 0.5$</span> solar masses: 26%</li>
<li><span class="math-container">$0.7 - 1.3$</span> solar masses: 44%</li>
<li><span class="math-container">$1.5 - 5$</span> solar masses: &gt;50%</li>
<li><span class="math-container">$8 - 16$</span> solar masses: &gt;60%</li>
<li><span class="math-container">$&gt;16$</span> solar masses: &gt; 80%</li>
</ul>
<p>These probabilities have to be folded with the <a href="https://en.wikipedia.org/wiki/Initial_mass_function" rel="nofollow noreferrer">initial mass function</a> to see how much these probablities impact the overall number. While I didn't find a paper which does this exactly, looking at the IMF diagramme, and the fact, that multiplicity is already above the threshold of 33% for masses &gt; ~0.5 solar masses, the majority of stars will be in multiple systems while most systems are single star systems. This argument also so far did not consider multiplicity higher than two - which further helps this argument.</p>
<p>However, there is the <a href="http://www.recons.org/census.posted.htm" rel="nofollow noreferrer">RECONS census</a> from 2018 of the solar neighbourhood within the nearest 10 parsec. This sample consists of 317 systems, which of 232 are found to be single and overall 378 stars and 50 brown dwarfs are found. The numbers from this survey give us that there are 232/(378+50) = 54% single stars (or brown dwarfs). There is an update regarding this sample using the Gaia data from 2021  by <a href="https://www.aanda.org/articles/aa/full_html/2021/06/aa40985-21/aa40985-21.html" rel="nofollow noreferrer">Reyle et al</a> which conclude</p>
<blockquote>
<p>Almost half of the stars and brown dwarfs are in multiple systems. As summarised in the bottom part of Table 3, our 10 pc sample contains 246 single, 69 double, 19 triple, three quadruple, and two quintuple systems</p>
</blockquote>
<p>Thus the thorough sample, and assuming that our solar neighbourhood is representative, gives us the idea that it might possibly be so that both, most stars systems are single systems and that about half of the stars are single stars. Surveys for a <a href="https://iopscience.iop.org/article/10.3847/1538-3881/ac53fc" rel="nofollow noreferrer">slightly larger range</a> (but less rigorous) point into the same direction.
Thus it might actually be that the initial assumption of half the stars in the Galaxy being binaries does not quite hold. Instead likely both, most stars and most stellar systems, might be single.</p>

CC BY-SA 4.0
2023-12-11T08:49:53.200Z
But the peak of the IMF is at around 0.25 solar masses.
ProfRob
CC BY-SA 4.0
2023-12-11T09:23:00.220Z
That's lower than my memory without extensive search provided me with and might possibly change the result, depending on how the IMF actually looks like.
planetmaker
CC BY-SA 4.0
2023-12-11T16:14:23.320Z
"*the majority of stars will be in multiple systems while most systems are single star systems*": I'm having trouble parsing this (due to my own ignorance, I'm sure). Could you please clarify a little? How can most systems be single if most stars are in multiple systems (which I read as meaning that most stars belong to systems that are not single since the star belongs to >1 of them).
terdon
CC BY-SA 4.0
2023-12-11T16:23:41.830Z
@terdon Say the multiplicies of the systems are {1, 1, 98}. Most stars (98 out of 100) are in a multiple star system but most systems (2 out of 3) are single. The real world isn't as extreme as that of course but the same thing applies.
Philip Kendall
CC BY-SA 4.0
2023-12-11T16:41:15.093Z
@terdon read my first paragraph, I try to illustrate that problem there with an example. Or similar: Take 30 stellar systems. Make 15 systems double star systems. Then you have 15 single stars systems for 15 stars and 15  double star systems for 2*15 stars = 30 stars, for a total of 45 stars. Thus 50% of the star systems are single star systems, but 2/3 (30 of 45) of the stars are in multiple systems
planetmaker
CC BY-SA 4.0
2023-12-11T20:54:50.197Z
According to the RECONS census of 2015, reported at meeting #227 of the American Astronomical Society, of 270 'primary' stars within 10 parsecs, 28% have companions that are stars and 2% have those that are brown dwarfs. This may have changed a little with more recent data. 366 stars were found, so that tells me that just about half of the stars within 10 parsecs are single stars. This, of course, is weighted toward lower mass stars, so to determine the numbers for F,G and K stars you have to go to farther distances to get a better sample.
Jack R. Woods
CC BY-SA 4.0
2023-12-13T08:38:51.023Z
@JackR.Woods that is the answer (within the assumption that there isn't anything special about the solar neighbourhood).
ProfRob
CC BY-SA 4.0
2023-12-13T09:21:39.710Z
@JackR.Woods good point. I added that piece of information.
planetmaker
CC BY-SA 4.0
2023-12-11T08:37:59.670Z
2023-12-13T09:38:09.133Z
2023-12-13T09:38:09.133Z
planetmaker
<p>You might also like to consider the probability that a number of the singleton stars that are visible might have once been part of a binary system and have devoured their companion. There may also be a number of singleton stars that are going to be part of a binary system in the future.</p>

CC BY-SA 4.0
2023-12-16T13:16:33.063Z
This doesn't really answer the question but speculates on how multiple star systems form. That said, capture of stars to form multiple systems is nearly impossible considering conservation of momentum.
planetmaker
CC BY-SA 4.0
2023-12-16T10:58:24.390Z
2023-12-16T10:58:24.390Z
Michael Mcgarry
<p>In the book by Neil Tyson &amp; Michael A. Strauss &amp; J. Richard Gott titled &quot;Welcome to the Universe: An Astrophysical Tour&quot; there is a sentence that starts: &quot;Since more than half the stars in the galaxy are in binaries, ... &quot;. But is it really true?</p>
<p>The reason I cast some doubts is as follows. Light-weight stars happen to be in pairs (or otherwise multiple) with a lower chance than heavy stars: for a light-weight star the chance to be in a pair is estimated roughly about 20%, whereas for a heavy star the chance is about 80%. However it is also a well-known fact that light-weight stars represent the majority of all known stars in our universe. For instance, stars with masses up to 0.9 of solar mass (incl. M-G classes) represent 95% of all known stars. Even if we consider only the 30 nearest stars to our Sun, the binaries and trinals amongst them are only 13. In fact, the chance for a neutron star (they all are relatively heavy) to be a binary is estimated as 5% only.</p>
<p>So the question I have to ask is how valid was the statement from the book by Tyson &amp; Strauss &amp; Gott?</p>
<p>Thanks in advance.</p>

CC BY-SA 4.0
2023-12-12T23:09:46.510Z
Are you counting per star, or per star _system_? If half the stars are in a binary system, then only 1/3rd of systems are binary, with the other 2/3rds being unary.
Flater
<binary-star><multiple-star-systems><stellar-population>
Are multiple stars actually more common than singles?
Jimmy Bionic
# Are multiple stars actually more common than singles?

(Asked by: username_0 on 2023-12-11)

In the book by Neil Tyson & Michael A. Strauss & J. Richard Gott titled "Welcome to the Universe: An Astrophysical Tour" there is a sentence that starts: "Since more than half the stars in the galaxy are in binaries, ... ". But is it really true?

The reason I cast some doubts is as follows. Light-weight stars happen to be in pairs (or otherwise multiple) with a lower chance than heavy stars: for a light-weight star the chance to be in a pair is estimated roughly about 20%, whereas for a heavy star the chance is about 80%. However it is also a well-known fact that light-weight stars represent the majority of all known stars in our universe. For instance, stars with masses up to 0.9 of solar mass (incl. M-G classes) represent 95% of all known stars. Even if we consider only the 30 nearest stars to our Sun, the binaries and trinals amongst them are only 13. In fact, the chance for a neutron star (they all are relatively heavy) to be a binary is estimated as 5% only.

So the question I have to ask is how valid was the statement from the book by Tyson & Strauss & Gott?

Thanks in advance.

**Tags:** binary-star, multiple-star-systems, stellar-population
> **Comments:**
> **username_1**: Are you counting per star, or per star _system_? If half the stars are in a binary system, then only 1/3rd of systems are binary, with the other 2/3rds being unary.  

---

## 3 answers

### Answer by username_2 on 2023-12-11. Score: 11

*Too long for a comment:*

There is one ambiguity you are going to have to deal with, because nobody agrees what “star” means.

Suppose that you see three points of light in the sky, and then with a telescope or good binoculars you see that one of those three points is a pair of stars very close together. If you like, name the three things you see as A B and CD.

Then **both** the following statements are true:

1. One in three stars you see in the sky is a binary: A, B, CD.
2. One in two stars is **in** a binary. A and B aren’t, C and D are.

Different writers will use either (1) or (2) depending on the impression they want to give you. Writers also copy from each other and some of them will not know or care *which* of the two approaches they are copying.

Thus some of the discrepancies you are in your sources may be linguistic, not real.

> **Comments:**
> **username_3**: The linguistics could maybe explain why someone would say more than half of stars are *single*. That is because it is true that more than half of star systems consist of single stars. I don't think that confusion can attach to someone claiming that more than half of stars are in binary systems, as here.  

---

### Answer by username_4 on 2023-12-11. Score: 8

That's a good question with a non-intuitive answer. The main point is: one has to distinguish *stellar systems* from *stars* themselves. Consider an essemble of 30 stellar systems. 33% or 10 of them are double stars. Then we have overall 40 stars where 20 of them (50%) are stars in multiple systems.

The reality here is complicated. There is a [review article by Gaspard Duchêne and Adam Kraus on stellar multiplicity](https://ui.adsabs.harvard.edu/abs/2013ARA%26A..51..269D/abstract). They provide a table of the frequency of multiplicity:

* $< 0.1$ solar masses: 22%
* $0.1 - 0.5$ solar masses: 26%
* $0.7 - 1.3$ solar masses: 44%
* $1.5 - 5$ solar masses: >50%
* $8 - 16$ solar masses: >60%
* $>16$ solar masses: > 80%

These probabilities have to be folded with the [initial mass function](https://en.wikipedia.org/wiki/Initial_mass_function) to see how much these probablities impact the overall number. While I didn't find a paper which does this exactly, looking at the IMF diagramme, and the fact, that multiplicity is already above the threshold of 33% for masses > ~0.5 solar masses, the majority of stars will be in multiple systems while most systems are single star systems. This argument also so far did not consider multiplicity higher than two - which further helps this argument.

However, there is the [RECONS census](http://www.recons.org/census.posted.htm) from 2018 of the solar neighbourhood within the nearest 10 parsec. This sample consists of 317 systems, which of 232 are found to be single and overall 378 stars and 50 brown dwarfs are found. The numbers from this survey give us that there are 232/(378+50) = 54% single stars (or brown dwarfs). There is an update regarding this sample using the Gaia data from 2021 by [Reyle et al](https://www.aanda.org/articles/aa/full_html/2021/06/aa40985-21/aa40985-21.html) which conclude

> Almost half of the stars and brown dwarfs are in multiple systems. As summarised in the bottom part of Table 3, our 10 pc sample contains 246 single, 69 double, 19 triple, three quadruple, and two quintuple systems

Thus the thorough sample, and assuming that our solar neighbourhood is representative, gives us the idea that it might possibly be so that both, most stars systems are single systems and that about half of the stars are single stars. Surveys for a [slightly larger range](https://iopscience.iop.org/article/10.3847/1538-3881/ac53fc) (but less rigorous) point into the same direction.
Thus it might actually be that the initial assumption of half the stars in the Galaxy being binaries does not quite hold. Instead likely both, most stars and most stellar systems, might be single.

> **Comments:**
> **username_3**: But the peak of the IMF is at around 0.25 solar masses.  
> **username_4**: That's lower than my memory without extensive search provided me with and might possibly change the result, depending on how the IMF actually looks like.  
> **username_5**: "*the majority of stars will be in multiple systems while most systems are single star systems*": I'm having trouble parsing this (due to my own ignorance, I'm sure). Could you please clarify a little? How can most systems be single if most stars are in multiple systems (which I read as meaning that most stars belong to systems that are not single since the star belongs to >1 of them).  
> **username_6**: @terdon Say the multiplicies of the systems are {1, 1, 98}. Most stars (98 out of 100) are in a multiple star system but most systems (2 out of 3) are single. The real world isn't as extreme as that of course but the same thing applies.  
> **username_4**: @terdon read my first paragraph, I try to illustrate that problem there with an example. Or similar: Take 30 stellar systems. Make 15 systems double star systems. Then you have 15 single stars systems for 15 stars and 15  double star systems for 2*15 stars = 30 stars, for a total of 45 stars. Thus 50% of the star systems are single star systems, but 2/3 (30 of 45) of the stars are in multiple systems  
> **username_7**: According to the RECONS census of 2015, reported at meeting #227 of the American Astronomical Society, of 270 'primary' stars within 10 parsecs, 28% have companions that are stars and 2% have those that are brown dwarfs. This may have changed a little with more recent data. 366 stars were found, so that tells me that just about half of the stars within 10 parsecs are single stars. This, of course, is weighted toward lower mass stars, so to determine the numbers for F,G and K stars you have to go to farther distances to get a better sample.  
> **username_3**: @JackR.Woods that is the answer (within the assumption that there isn't anything special about the solar neighbourhood).  
> **username_4**: @JackR.Woods good point. I added that piece of information.  

---

### Answer by username_8 on 2023-12-16. Score: 2

You might also like to consider the probability that a number of the singleton stars that are visible might have once been part of a binary system and have devoured their companion. There may also be a number of singleton stars that are going to be part of a binary system in the future.

> **Comments:**
> **username_4**: This doesn't really answer the question but speculates on how multiple star systems form. That said, capture of stars to form multiple systems is nearly impossible considering conservation of momentum.  

---

