Convert working Flash AS3 to HTML5 or JavaScript

I have a flash application integrated into a website working perfectly but I wish to make it also work within the browser on iPhones and iPads. I believe it will need to be converted or recreated in JavaScript or HTML5 with some added code for the touch screen devices. Perhaps the release of iOS6 will make this easier too. It is important that it works within the browser and not as a separate app. You can see a working version of the application by visiting [login to view URL] and clicking on the button from the home page that says "Launch Demo".