Convert km/s to kpc/Gyr: 0.964275 Factor?

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Discussion Overview

The discussion revolves around the conversion of velocity units from kilometers per second (km/s) to kiloparsecs per giga year (kpc/Gyr). Participants explore the appropriate conversion factors and the definitions of a Gyr, while also addressing the precision of astronomical measurements related to distance.

Discussion Character

  • Technical explanation, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant questions the conversion factor of 0.964275 and seeks a precise definition of a Gyr, noting that different definitions may exist.
  • Another participant provides a conversion factor of 1.02268944 for converting km/s to kpc/Gyr, assuming Gyr refers to a giga year (10^9 years).
  • A further reply suggests that astronomers use the Julian year for such conversions, leading to a slightly different conversion factor of 1.02271128.
  • Concerns are raised about the precision of the conversion between parsecs and kilometers, with one participant noting that the astronomical unit (AU) varies by about 2%, which could affect the accuracy of the parsec definition.
  • Another participant clarifies that the AU does not vary and explains its scientific definition, asserting that the parsec's accuracy is tied to the AU's definition.
  • One participant acknowledges a misunderstanding regarding the definition of the parsec, indicating a need for clarification on the topic.

Areas of Agreement / Disagreement

Participants express differing views on the conversion factors and the definitions of Gyr and AU. There is no consensus on the precise conversion factor or the implications of the AU's definition on the parsec's accuracy.

Contextual Notes

Unresolved issues include the exact definitions of a Gyr and the implications of the AU's variability on the conversion between kilometers and parsecs. The discussion reflects ongoing uncertainty regarding these definitions and their impact on calculations.

florian101
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Hay
Can anybody tell me how to change from km/s to kpc/Gyr? I found a facto of 0.96 but I need it very precise and I am not sure about the exact definition of a Gyr because people use different definitions...

kpc/Gyr = 3.08568e16km/3.2e16s = 0.964275?

thanks a lot for help
regards
florian
 
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A quick type into google: 1 km/s in kiloparsecs per 10^9 year yields 1.02268944.

I assume Gyr is giga year = 10^9 years?
 
florian101 said:
I am not sure about the exact definition of a Gyr because people use different definitions...

Nabeshin said:
A quick type into google: 1 km/s in kiloparsecs per 10^9 year yields 1.02268944.

I assume Gyr is giga year = 10^9 years?

Astronomers use the Julian year for such things. One Julian year is defined to be 365.25 days or 31,557600 seconds, exactly. This yields a conversion factor of 1.02271128 rather than 1.02268944.
 
Is the conversion between the parsec and the kilometer known to this level of precision? The AU varies by about 2%, which, unless the AU is defined to be a certain number of kilometers, puts a constraint on how well we can ever hope to know the length of the parsec.
 
Vanadium 50 said:
The AU varies by about 2%, which, unless the AU is defined to be a certain number of kilometers ...
The AU does not vary. You are conflating the instantaneous distance between the Earth and the Sun with the AU. In lay terms, one AU is the mean distance between the Earth and the Sun. That was the scientific definition up to 1976. Now the AU is "the radius of an unperturbed circular Newtonian orbit about the Sun of a particle having infinitesimal mass, moving with a mean motion of 0.017 202 098 95 radians per day (known as the Gaussian constant)." (http://www.bipm.org/en/si/si_brochure). The published value, 149 597 870 691 meters, has an uncertainty of 6 meters.

The parsec, being derived solely from the AU, will have the same relative accuracy as the AU.
 
D H said:
You are conflating the instantaneous distance between the Earth and the Sun with the AU.

Close - I am conflating half the distance between two points on the Earth's orbit six months apart with the AU. That feeds into the parallax measurements.
 
That is not how the parsec is defined, however.
 

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