Calculating relative velocity of Crab Nebula

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SUMMARY

The discussion focuses on calculating the relative velocity of the Crab Nebula using the Doppler formula. The initial calculation using the formula Δλ/λnaught = v/c yielded a velocity of 3085.81 km/s, which was significantly lower than expected. A cosmologist advised modifying the formula to v = c(Δλ/λnaught) / 2, resulting in a more accurate velocity of 1542.90 km/s, aligning closely with the actual expansion rate. The division by two accounts for the difference between approaching and receding filaments, effectively halving the total observed shift.

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LavaLynne
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I'm using the the Doppler formula to calculate the relative velocity between the approaching and receding filaments of the crab nebula: Δλ/λnaught = v/c Change in wavelength/ wavelength = velocity/ speed of light

I have reworked the formula as v= c(Δλ/λnaught)

When I plug in the values I get: 300,000 km/s (38.336 angstrom/ 3727 angstrom) = 3085.81

As this is nowhere near the velocity of the Crab's expansion I asked a cosmologist friend for help. He said that I should do the formula as: v= c(Δλ/λnaught) / 2

This gives me: 300,000 km/s (38.336 angstrom/ 3727 angstrom) /2 = 1542.90 km/s

Now this result is very close to the actual velocity of the expansion. What I'm wondering is...why am I dividing by two?

Keep in mind that I'm a mature student and this my first year of school in a very long time! Please go easy on me! :)
 
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You're looking at the difference between approaching and receding filaments. Half that difference is assigned to the shift resulting from approach, and half to the shift due to recession.
 
Thank you very much for that! That make quite a lot of sense! :)
 

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