Dear
Actually u implimented the badi in local object. after that u deleted that badi.
no need to delete the badi if ur not using that badi deactivate option is vailable in sap. deactivate and if u want to add some logic or if u want to save that badi in package. u can activate that badi.
Go through this Url:
http://www.sapdevelopment.co.uk/enhance/enhance_badi.htm
For Logical database
http://help.sap.com/saphelp_46c/helpdata/en/9f/db9bed35c111d1829f0000e829fbfe/frameset.htm
http://help.sap.com/saphelp_nw04/helpdata/en/6a/8b14e2340d11d5b3ba0050dae02d7c/content.htm
very useful
http://help.sap.com/saphelp_46c/helpdata/EN/35/2cd77bd7705394e10000009b387c12/frameset.htm
Useful link to websites
http://www.hernangn.com.ar/sap.htm
Regards