GTM and VS with public and private adresses

I am in the same situation and need assistance with GTM configuration. This is first time I am working on GTM. Please pardon my ignorance.

 

 

Local Data Center

 

Scenario - Both GTM and LTM are in DMZ (with private address).

 

I will be configuring public translation for GTM for DNS queries from Internet. What IP address of LTM should I use for iQuery, private/public? The VS on the LTM's are translated using public facing firewalls which will be configured in wide-ip pools. How the health monitor works in this case?

 

 

Local site -> Other Data Center

 

Scenario - GTM will talk to LTM and GTM at remote Data center.

 

What IP address do I need to use for GTM and LTM? I can reach the systems using private IP over the WAN. Again VS will be sitting on remote LTM.

 

 

I am in the middle of deployment and really confused with GTM configuration. I would really appreciate some help here.