Assume that on earth we see something 1 billion light years away

Click For Summary

Discussion Overview

The discussion revolves around understanding the implications of observing an object 1 billion light years away from Earth, particularly in the context of cosmic expansion. Participants explore how to determine the current distance between Earth and the source, as well as the distance at the time the light was emitted, while considering the effects of the expanding universe.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that if there is no relative motion, the object was and still is 1 billion light-years away, questioning if there is a misunderstanding in the original question.
  • Another participant emphasizes the importance of redshift in determining the distance and clarifies that the distance is increasing due to the expansion of the universe.
  • There is a repeated inquiry about how to calculate the current distance and the distance at the time of emission, factoring in the universe's expansion.
  • One participant mentions using Ned Wright's cosmic calculator to find the redshift distance, implying it is a useful tool for this type of calculation.
  • Another participant expresses uncertainty about how to measure the time light has traveled, comparing it to a race and highlighting the necessity of redshift for such measurements.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact calculations needed to determine the distances involved. There are multiple viewpoints on how to approach the problem, particularly regarding the role of redshift and cosmic expansion.

Contextual Notes

Limitations include the lack of clarity on how to incorporate the universe's expansion into the distance calculations and the assumptions made about relative motion.

mathman
Science Advisor
Homework Helper
Messages
8,130
Reaction score
575
This is probably an elementary exercise, but my head spins trying to think about it. Assume that on Earth we see something 1 billion light years away (i.e. light took 1 billion years to reach us). To simplify, assume no relative proper motion, although the distance will change due to universe expanding. How far apart are the Earth and the source now and how far apart were they when the light was emitted ( 1 billion years ago)?
 
Astronomy news on Phys.org
Assuming no relative motion, the object was and still is 1 billion light-years away. Or am I missing something in your question?
 
mathman said:
This is probably an elementary exercise, but my head spins trying to think about it. Assume that on Earth we see something 1 billion light years away (i.e. light took 1 billion years to reach us). To simplify, assume no relative proper motion, although the distance will change due to universe expanding. How far apart are the Earth and the source now and how far apart were they when the light was emitted ( 1 billion years ago)?
You wouldn't do the calculation like this, though. You'd get a redshift of the observed photon, and then relate this to the distance between the observer and the emitter when the photon was emitted.

Redbelly98 said:
Assuming no relative motion, the object was and still is 1 billion light-years away. Or am I missing something in your question?
He means that the distance is increasing due to the "universe expanding."
 
cristo said:
He means that the distance is increasing due to the "universe expanding."

Got it. I misread the original post to mean we are ignoring the expansion of the universe.

Thanks for clarifying.
 
Does anyone know the answer to my original question?
 
Last edited by a moderator:
mathman said:
Does anyone know the answer to my original question?

I answered your question, didn't I? The point is, how would you know that the light had taken a billion years to travel to you? It's not like a 100m race or something like that, where you can measure it; you need to use the redshift.
 
By the redshift distance, is the short answer. See Ned Wrights cosmic calculator for the details.
 
cristo said:
I answered your question, didn't I? The point is, how would you know that the light had taken a billion years to travel to you? It's not like a 100m race or something like that, where you can measure it; you need to use the redshift.


Using the redshift and Hubble's constant I can get the fact the light has traveled one billion years since it was emitted. What I don't know is how far away from the receiver is the source now and what was the source to receiver distance one billion years ago. Basically how does one factor in the universe expansion to calculate these distances?
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
12K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 25 ·
Replies
25
Views
8K
  • · Replies 10 ·
Replies
10
Views
6K