Rotting roots, Vanda orchid

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Hi,
I am new to this forum and desperately need help with my Vanda orchid. I got this plant in June as a present. As I have only had Phals in the past, I cared for the Vanda orchid in the same manner. The plant started looking weak, and, having done some research I realized that I may have done more damage than good. I removed the plant from the pot to discover that the roots have rotted completely--they are brown and soft. The leaves of the plant are still green, although they do look a little wilted. Is there anything that can be done to save the orchid? Please help! Thank you.