What is the trigonometric parallax of a binary system?

In summary, the conversation discusses a measured trigonometric parallax of 0.3749+/-0.0057 arcsec for a visual binary system. The angle is the parallax across the Earth's orbit and it is indicated as +/-0.0057 due to measurement uncertainty. The conversation also mentions the parallax at different distances within the system.
  • #1
shirin
47
0
Hi
It is stated that:
"for a visual binary system, the measured trigonometric parallax is 0.3749+/-0.0057 arcsec."
I don't know this angle is parallax of what? I can guess it like this:
0.3749+0.0057 arcsec is the parallax of the whole system when they are at most distance of each other, which looks at a_1 + a_1*e + a_2 + a_2*e and,
0.3749-0.0057 arcsec is the parallax of the whole system when they are at less distance of each other, which looks at a_1 - a_1*e + a_2 - a_2*e.
Is this correct?

Thanks
 
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  • #2
It's the parallax across the Earth's orbit, just like the parallaxes of isolated stars.
 
  • #3
and why is it +/-something? Is this related to error?
 
  • #4
shirin said:
and why is it +/-something? Is this related to error?

Yes. It's a measurement, after all. The uncertainty is being indicated.
 
  • #5
Thank you!
 

1. What is parallax of a binary system?

The parallax of a binary system is the apparent shift in the position of the stars in the system as observed from different points on Earth's orbit. It is caused by the changing perspective as Earth moves around the Sun.

2. How is the parallax of a binary system measured?

The parallax of a binary system is measured by comparing the positions of the stars in the system in relation to background stars as observed from two different points on Earth's orbit. This is known as the baseline method.

3. What is the importance of measuring the parallax of a binary system?

Measuring the parallax of a binary system allows scientists to calculate the distance to the system, which is an important factor in understanding the size and structure of the universe. It also helps in studying the motion and evolution of the stars in the system.

4. Can the parallax of a binary system change over time?

Yes, the parallax of a binary system can change over time. This is because the relative position of Earth and the binary system changes as Earth orbits the Sun. However, this change is very small and can only be detected over a long period of time.

5. How is the parallax of a binary system used in astronomy?

The parallax of a binary system is used by astronomers to measure the distance to stars and other celestial objects. It is also used to study the motion and orbits of stars in binary systems, which can provide valuable information about the formation and evolution of these systems.

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