Trigger for tables on different database

I have different database all with a table PEOPLE. In this table there are two field: USER_ID and USER_PASSWORD. I want to write a trigger so when a user changes USER_PASSWORD field in one database I update the same field in other databases. The problem is that the name of databases to update are in another table REMOTE_LIBRARIES. The trigger look like this

CREATE TRIGGER PWD_UPD ON PEOPLE
FOR UPDATE
AS

UPDATE t1
SET t1.USER_PASSWORD = i.USER_PASSWORD
FROM a..PEOPLE t1
INNER JOIN inserted i
ON t1.USER_ID = i.USER_ID

where a is the result of
SELECT DATABASE_NAME FROM REMOTE_LIBRARIES a WHERE SYSTEM_ID <> 0

How can I use the result of the SELECT in UPDATE query trigger?

Thanks to all