Credit Card Payments - Customer - Recurring

Can someone give me some feedback on being able to store credit card information on a customer then using that credit at the end of each billing cycle for the customer to generate a payment for the customer balance at the end of the billing cycle or at the end of the month? 

We are doing a billing integration project, where we will take order transactions from third party system, process those to a custom master charge table, then summarize and calculate tax, then feed to RA Interface table.  Then we will use AutoInvoice to interface into Oracle AR.  At that point when the invoices are in Oracle AR and the customer has authorized the client to use that credit card each billing cycle to receive payment, how would I go about doing that?  Any thoughts or direction to documentation that helps explain this would be greatly appreciated.  Also the client will be