You can configure your Kerberos setup so that you can use the MIT Kerberos Ticket Manager to get the Ticket Granting Ticket (TGT), or configure the setup so that you can use the driver to get the ticket directly from the Key Distribution Center (KDC). Also, if a client application obtains a Subject with a TGT, you can use that Subject to authenticate the connection.
For more information, see Configuring Kerberos Authentication for Windows.