Internal and External IP Addresses with an SSL Certificate

I'm setting up a web server that has an internal IP address and an external IP address.

e.g. Browsers on the network request mysite.example.com and get 192.168.200
Browsers outside the network request mysite.example.com and get 74.125.127.103

I want to buy and install a certificate for SSL. How can I set this up so that both internal and external traffic is secured with a certificate? Do I need more than one certificate? Is it possible for the certificate to be valid for both IP addresses?


The certificate is checked against the domain name, not the ip. So if you set your webserver to listen for ssl connections on both IPs for the same domain name then you are fine.