Authenticate to Active Directory child domain

[barrycuda72@gmail.com]

We have a couple of apps that use KRB auth back to Active Directory.
one is a Java app and the other is using the standard auth setup in
Linux\Unix
Currently the setup is to look at the root ad domain for auth.
"foo.com"
I just configured a child ad domain "bar.foo.com".
So my question is:  Will kerberos auth follow the child domain layout
and authenticate users in both domains?