Once you are separated the money you each earn is no longer a marital asset. It is the separate property of the party who earned it.
If your Wife has moved out of the marital residence and is living somewhere else then you can legally exclude her from returning. If she attempts to come back you can have her prosecuted for Domestic Criminal Trespass.
As far as alimony, if she was involved with a sexual relationship with another man while you were married, you are not legally obligated to pay any alimony. The only thing you would be obligated to pay would be child support. If the children are staying with you in the marital residence for the majority of the time, then the child support will change according to the time spent with each parent. You can find the guidelines on our website.
Your verbal agreement to support her is not binding, the only thing that is legally binding is a contract or a court order.
I will caution you though that since you are in the military, you should check with your JAG office or your commanding officer and make sure that you are in compliance with the military laws regarding support.
Helena M. Nevicosi
Attorney with Rosen Law Firm
4101 Lake Boone Trail, Suite 500
Raleigh, North Carolina 27607
919.787.6668 main phone
919.256.1665 direct fax
10925 David Taylor Drive, Suite 100
Charlotte, North Carolina 28262
704.644.2831 main voice
704.307.4595 main fax
1829 East Franklin Street, Bldg 600
Chapel Hill, NC 27514
919.321.0780 main phone
919.787.6668 main fax
The response posted above is based upon the limited factual information made available and is not intended as a full and complete response to the question. The only reliable manner to obtain complete and adequate legal advice is to consult with an attorney, fully explain your situation, and allow the attorney sufficient opportunity to research the applicable law and facts required to render an accurate opinion. The basic information provided above is intended as a public service but a full discussion with an attorney should be undertaken before taking any action.