Time Conversion

I am trying to test a snippet of javascript that I want to use to make it easier to arrange on-line meetings with people living in different time zones.

The page should display the time of a meeting in GMT and should then also show it in the local time of the person visiting the page. I am testing this page to see if it works correctly. There will be problems when people have their computer set to a time zone that is different from the place where they actually are – though I am not sure why someone would wannt to do this. But there may also be problems because different versions of windows and different browsers may handle the code slightly different. I would very much like to know whether or not this page works correctly.

Does it show the correct time?

The page can be found at http://mackichan.e-lang.co.uk/javascript/timer.html