<p>This is a very naive question but I never fully understood this. For a system of two binary stars moving under the influence of their mutual gravitational forces revolve around their common center of mass. This is the &quot;two-body problem&quot; of undergraduate classical mechanics. However, from the perspective of observer A fixed in star A, star B revolves around it, and from the perspective of observer B fixed in star B, star A revolves around it. None of the observers is preferred. Then in what sense &quot;earth moves around the Sun&quot; is more accurate than the &quot;Sun moves around the earth&quot;?</p>

CC BY-SA 4.0
2021-10-22T05:32:48.583Z
We would tend to say both orbit in the gravitational field of the solar system, but this is dominated by the sun.  Think of the motion of the centre of mass.
James K
CC BY-SA 4.0
2021-10-22T05:35:10.717Z
@JamesK In what sense "the earth revolving around the sun" is more correct than saying the "sun revolving around the earth".
Solidification
CC BY-SA 4.0
2021-10-22T05:36:48.560Z
Yes, I see.  I think that is completely answered at the suggested other question.
James K
CC BY-SA 4.0
2021-10-22T05:49:49.247Z
If we ignore the other planets, the Sun & Earth travel in elliptical orbits around the Sun-Earth barycentre. But the centre of the Sun is only ~450 km from that barycentre.
PM 2Ring
CC BY-SA 4.0
2021-10-22T11:44:34.807Z
@PM2Ring you should make your comment a proper answer, because imho it is correct and exactly what OP was asking. However, I have seen this question asked a lot here on Astronomy SE.
Hartmut Braun
<the-sun><solar-system><earth><binary-star>
Is it completely false that the Sun does not revolve round the earth? In what sense?
Solidification
# Is it completely false that the Sun does not revolve round the earth? In what sense?

(Asked by: username_0 on 2021-10-22)

This is a very naive question but I never fully understood this. For a system of two binary stars moving under the influence of their mutual gravitational forces revolve around their common center of mass. This is the "two-body problem" of undergraduate classical mechanics. However, from the perspective of observer A fixed in star A, star B revolves around it, and from the perspective of observer B fixed in star B, star A revolves around it. None of the observers is preferred. Then in what sense "earth moves around the Sun" is more accurate than the "Sun moves around the earth"?

**Tags:** the-sun, solar-system, earth, binary-star

> **Comments:**
> **username_1**: We would tend to say both orbit in the gravitational field of the solar system, but this is dominated by the sun.  Think of the motion of the centre of mass.  
> **username_0**: @username_1 In what sense "the earth revolving around the sun" is more correct than saying the "sun revolving around the earth".  
> **username_1**: Yes, I see.  I think that is completely answered at the suggested other question.  
> **username_2**: If we ignore the other planets, the Sun & Earth travel in elliptical orbits around the Sun-Earth barycentre. But the centre of the Sun is only ~450 km from that barycentre.  
> **username_3**: @username_2 you should make your comment a proper answer, because imho it is correct and exactly what OP was asking. However, I have seen this question asked a lot here on Astronomy SE.  

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