What is the Hubble Parameter over time and how can I calculate it?

[Arman777]

How can I calculate the Hubble Parameter in time. I know that it decreases in time and approaches to some constant value but I am not sure to what value, Is there any graph for that ?

 

[Bandersnatch]

Take a look at the first equation here:
https://www.physicsforums.com/insights/lightcone7-tutorial-part-iii-things-computed/
For far future, z tends to -1, so the equation reduces to $H_\infty=H_0\sqrt{\Omega_\Lambda}$ with current dark energy density as the input.
You can use the calculator itself to graph the relationship:
http://www.einsteins-theory-of-relativity-4engineers.com/LightCone7-2017-02-08/LightCone_Ho7.html

 

[Arman777]

Thanks