Arun H:
Kay Ogetay:
Redshift value is not derived, it is the measured parameter. Distance is derived from the redshift (in particular, the luminosity distance I'm referring to). Basically the calculation I made is as follows:
Calculate the z-value of a shift for actual wavelength 656nm and observed wavelength 657nm. Which gives us approximately z=0.0015. Then the part where we convert redshift (z) to luminosity distance is a bit tricky because it involves factors such as the Hubble parameter and the geometry of the universe. For flat universe and H_0 approximately 70, I got the result of approximately 30 Mly. I believe you went the other way around, please correct me if I misunderstood you.
I should have been more clear in what I said.
Yes, redshift values are measured, for individual galaxies.
But a plot of distance versus redshift is used to derive, for example, Hubble's constant.
Knowing Hubble's constant and, neglecting for simplicity things like curvature, you could estimate the redshift of a theoretical galaxy at some specified distance. But the actual redshift of a galaxy can vary from this estimate as seen from the scatter in the graph and, for small distances, this variance could be significant.
So my point was that, especially for small distances, redshift estimates based on distance alone can have error associated with them, and that error may be significant. So, especially for close galaxies where the actual redshift is known quite accurately, it may be better to use that to determine whether the redshift of that galaxy is large enough or not to capture the H-alpha using a narrowband filter.
I'm sorry, still not clear to me how this relates to my answer. If you are saying, use observed z-values of individual galaxies rather than calculate, yes. What I calculated was to find what z-values are out of the filter's bandwidth. Then I calculated (separately) what that z-values corresponded to in terms of luminosity distance (using the Hubble parameter and the curvature).
Also, our z values are too small for such significant errors, one can use Andrea's linear equation as well. The deviation (as the plot you attached also shows) starts for a higher z that we do not observe. If we care about details, a more important one comes from the F-ratio and filter relation as it will shift the peak transmission as well. In practice there are so many factors, so I prefer to do a rough calculation to determine the threshold.
Ashraf AbuSara:
Hmmm I might stick to the 5nm filter then. Might suffer slightly more with a bright moon. I want to be able to capture the Ha data on galaxies upto 100m Ly away.
I believe Ashraf got the intuition he was looking for. Which I thought in the past as well. I'd go with the 5nm under very dark skies, if I'm not chasing extremely faint Ha emissions. For galaxies and PNs, I'd go for 5nm.
In fact, if I'm buying cheap Ha filter, then I'd go with 5nm just to be safe as well. Not sure about the recent updates, but some were deviating significantly from the peak transmission line. I remember the inconsistency between the same filters. They provide the transmission sheet now, but who actually verifies it?