Catch table droppers

Hi,

   Problem:

  I wish to trace out the people who drop any table in the Database & store details like username,date of action,... etc in a history table accessible only to me.

           " I can't USE the database auditing feature for this purpose
            since currently our DB is not audited and if I wish to start
           auditing I need to edit AUDIT_TRAIL , shutdown and startup the
         databse, which I am strictly porhibited from doing currently."

           I tried creating Triggers on sys.obj$ as SYS but still it says
           can't create triggers on objects owned by SYS.

           Is there any other way ?

           Thanx.

    Platform: Oracle 7.3 on HP-UX 10.20

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