dirkpitt wrote:Comoving distance is a concept that's supposed to take Hubble expansion into account for distances from an observer... am I correct? Right now, Celestia's objects do not recede from each other and Fridger wants that changed I think.
Hi DW,
at cosmological distances and times, general relativity becomes increasingly important. There are many implications of GR, but the concept of a 'distance' is about the first notion that has to be defined and used properly in concordance with GR in an expanding Universe. In parallel, one also has to implement a definite ansatz for the metric of space-time that unlike special relativity now becomes a /dynamical/ quantity. The most popular metric in a Big-Bang cosmology is the Friedmann-Robertson-Walker metric. It's the solution of Einstein's equations for a homogeneous and isotropic Big-Bang Universe.
In fact there are various differing definitions of a cosmological distance, like the luminosity distance, the angular-diameter distance ...and the comoving distance. The latter involves an integral over the expanding cosmological scale factor a(t), and thus --in turn-- depends in a calculable manner on the particular cosmology under consideration (this includes its geometry: flat| closed | open...and the fractions of luminous and dark matter as well as dark energy. We know these from WMAP and thus everything is ~ fixed).
The comoving distance is the one that is theoretically most appropriate, and actually it's the distance appearing in Hubble's law.
The respective code is in my celx script that displays the redshift of our Celestia galaxies.
People can also see the large differences in distance by using this online cosmology calculator by Ned Wright:
http://www.astro.ucla.edu/%7Ewright/CosmoCalc.html
On the same page, there is also a link to a nice and simple tutorial about cosmology by him.
Once Celestia is to be expanded to include cosmological distances and times, we first got to get the framework right that will be underlying the respective new visualization tasks.
Bye Fridger