Measuring Redshift to Support Accelerating Universe

[azerbajdzan]

Thank you for your detailed explanations. I can follow all of them.

I should have noticed that the definitions of all parameters, constants and columns are displayed when mouse pointer is held above the "blue question-marks". I tried to click on them and nothing happened. I use Opera as web browser and for example it will not display Chart when I change "Display as" to "Chart". Now I tired Internet explorer and it works fine even with "chart display".

Is it possible to calculate all this variables inside the table by explicit mathematical formulas, or numerical methods are needed?

 

[marcus]

Thank you for your detailed explanations. I can follow all of them.

I should have noticed that the definitions of all parameters, constants and columns are displayed when mouse pointer is held above the "blue question-marks". I tried to click on them and nothing happened. I use Opera as web browser and for example it will not display Chart when I change "Display as" to "Chart". Now I tired Internet explorer and it works fine even with "chart display".

Is it possible to calculate all this variables inside the table by explicit mathematical formulas, or numerical methods are needed?

I believe numerical integration is needed for some of the calculations. Some of the equations can not be solved explicitly in closed form. But PF member Jorrie designed and programmed the table-calculator and he would be the right person to ask about how it was implemented.

There are several other cosmology calculators online but they do not make TABLES showing the whole history over an interval of time. They are "one-shot" calculators. However I think all the calculators use essentially the same numerical methods and the same basic equations.

Several other PF members besides Jorrie could also tell you more about the mathematical and computational details of standard cosmic model, including for example George Jones and Brian Powell (nick = bpowell).
I suppose you could write PM (private message) to either of them or to Jorrie, if you have technical questions. Or look for their posts on the open forum.

Nobody here is REQUIRED to reply to questions, of course but if you do not become a nuisance and ask too many questions too rapidly then people are usually pretty nice. good luck finding out about the standard cosmic model! if that is what you want to do.

 

[mfb]

The calculator uses JavaScript, you can look up how it works.

var N = 10000000; // Number of fine grain steps

It is a numerical calculation.

Some simplified cosmologic models can be evaluated analytically.

 

[Jorrie]

Is it possible to calculate all this variables inside the table by explicit mathematical formulas, or numerical methods are needed?

A brief description of the equations and numerical integration used in the LightCone tabular calculator is available here: http://cosmocalc.wikidot.com/advanced-user.