We know that RMAN takes information of backups from controlfile or recovery catalog
But if there is no catalog and control file record keep time is 1 day and we execute BACKUP ARCHIVELOG ALL command
how RMAN will come to know which sequence are already backed up and from which it needs to start archive backup after 10 days
It will back up all archivelogs it finds that have not been deleted or expired or obsolete. have you tested this? When restoring and doing recovery, it will check the SCN number of the data file you restored and apply all archivelogs it can find (until cancel or until <time>).
You can query V$ARCHIVED_LOG and discover files that are older than 1 day still listed.
RMAN will backup ArchiveLogs that are not EXPIRED
Hemant K Chitale