What is the trigonometric parallax of a binary system?

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Discussion Overview

The discussion revolves around the concept of trigonometric parallax in the context of a visual binary star system. Participants explore the meaning of a specific parallax measurement and its implications for understanding the system's distance and measurement uncertainties.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions the specific meaning of the parallax measurement of 0.3749+/-0.0057 arcsec, suggesting it might represent the parallax of the binary system at varying distances.
  • Another participant clarifies that the parallax measurement refers to the parallax across the Earth's orbit, similar to that of isolated stars.
  • There is a query about the significance of the +/- in the measurement, with a later reply confirming that it indicates measurement uncertainty.

Areas of Agreement / Disagreement

Participants appear to agree on the interpretation of the parallax measurement as related to the Earth's orbit, but there is no consensus on the implications of the measurement for the binary system's distance or the interpretation of the range provided.

Contextual Notes

The discussion does not resolve the assumptions regarding the distance variations in the binary system or the implications of the parallax measurement for its overall understanding.

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

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

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