I have been asked to point a new domain name to my already SSL secured website. The tricky part is that the new domain is also to have an SSL certificate so that the website can be accessed from both domain names without redirecting.

Is it possible to do this given that each SSL certificate must (I think) have its own IP address. To further complicate things, the server uses WHM/cPanel to manage accounts and from what I have seen, there doesn't appear to be a way of having one account use 2 IP addresses.

So my question is this: Is it possible to install an SSL certificate for a new account in cPanel, assign its own IP address etc, and then change the document root so that the new account points to the same document root of another account that is also secured via SSL? If so, would this work without generating any errors etc in the browser and would cPanel still be able to be used to manage the account without it resetting the document root change?

Server info:
Dedicated CENTOS based server running WHM 11.32.5 (build 13)