Luckily, you have the database in archivelog mode.
Examples
1. Resize datafile if possible (for backup before rename: save space and faster copy)
SQL> ALTER DATABASE DATAFILE 'F:\oradata\live\Mydb02.ora ' RESIZE 50m;
2. Take datafile offline:
SQL> ALTER DATABASE DATAFILE 'F:\oradata\live\Mydb02.ora ' OFFLINE;
Database altered.
3. at OS level, copy (preferable) or rename the file
cd F:\oradata\live\
copy 'Mydb02.ora ' 'Mydb02.ora' #cp -p 'Mydb02.ora ' 'Mydb02.ora' (for unix like platform)
or move 'Mydb02.ora ' 'Mydb02.ora'
4. Rename the datafile in database to update control file
ALTER DATABASE RENAME FILE 'F:\oradata\live\Mydb02.ora ' TO 'F:\oradata\live\Mydb02.ora ';
5. Take datafile online, when doing this, file recovery is needed to update the timestamp in the offline datafile header.:
SQL> ALTER DATABASE DATAFILE 'F:\oradata\live\Mydb02.ora' ONLINE;
ALTER DATABASE DATAFILE 'F:\oradata\live\Mydb02.ora' ONLINE
* ERROR at line 1: ORA-01113: file 16 needs media recovery
ORA-01110: data file 16: 'F:\ORADATA\LIVE\Mydb02.ORA'
SQL> RECOVER DATAFILE 'F:\oradata\live\Mydb02.ora'; Media recovery complete.
SQL> ALTER DATABASE DATAFILE 'F:\oradata\live\Mydb02.ora' ONLINE;
Database altered
Ref:
1. ALTER DATABASE
2. Renaming or Moving Oracle Files
3. Move/rename datafiles in Oracle
