edd said:
The short answer is you can't unravel them. The longer answer:......
........For distant objects the overwhelming majority of the redshift comes from the cosmological effect though.
I understand cosmological redshift relates to the expansion of space.
Am I correct in this understanding?
How do you reconcile the seemingly contradictory statements that I have quoted from your post.
The trouble with short answers is that they can be quite misleading ...
Anyway, the path you and I are on, wrt your original question, will (I hope) lead you to understand what edd wrote (and if not, then I'm sure he'll jump in with his own corrections ...)
DRD:
Firstly, I have an introductory astronomy text by Ceceliia Payne Gaposchkin and Katherine Haramundanis.
The section on redshift really deals with the redshift -distance relationship and recession velocities.
The purpose of the introductory book is to lay the foundations - or framework - for the answers, not for you to read a para or chapter which directly answers your questions.
I'm not familiar with that particular book, but with Ceceliia Payne Gaposchkin as an author I doubt you could go wrong ...
Yes, the redshift spectrum X-Y plot will have all the necessary data attached such as the data you mentioned.
[...]
Good.
One result of many hundreds (thousands?) of years of work by thousands of scientists - not all of them astronomers - is a simple model of the Earth and the Sun that has exceptionally good explanatory and predictive power: the Earth is a rigid sphere which rotates on its axis and revolves around the Sun.
Of course that's an oversimplification, but for our purposes it gets us to the starting gate: whatever redshift you estimate your spectrum has (we'll get onto how to say this a little more precisely later), you can convert it to a 'barycentric' redshift by virtue of the work of thousands of diligent astronomers, engineers, physicists, etc.
IOW, you know when you took your spectrum, where you pointed your gadget, and where your observatory (telescope, instrument on a spacecraft, ...) was when you made your observation, and you can use this information to do a straight-forward transform into a frame of reference whose origin is the solar system barycentre.
And here might be an appropriate point to introduce "errors".
Whatever your spectrum is, it is not perfect, in almost any sense (and especially a Platonic one). There are (quantum) theoretic limits, but they are not directly relevant here. With some exceptions, the uncertainty, imprecision, inaccuracy, etc of knowing the *exact* time you took the spectrum and the *exact* location can also be left out, as can the estimated location of the solar system barycentre - the uncertainty in your derived 'wrt the barycentre' redshift arising from these sources of 'error' will be trivial (there are some exceptions, which I'm happy to go into if you're interested).
For the cosmological redshifts we will eventually get onto, the major sources of uncertainty in the estimated redshift in the spectrum have to do with things like the (spectral) resolution of the spectrograph, its precision and accuracy, and the faintness of the source (star, galaxy, quasar) ... oh, and the 'perfect' spectrum of the object itself!
But as you have the flu, it might be sensible to stop here and ask if you're OK with transforming what comes out of an instrument into a barycentric redshift ... leaving for later the (extremely important) details of how the squiggles in the graph get turned into something magic called a redshift in the first place.
Yes? No? Not sure??