Date and time arithmetic

How to advance a date and time by 29 days, 12 hours and 44 minutes? That
period of time is a lunar month; see:
http://encarta.msn.com/encyclopedia_761573665/Moon.html

The last new moon was April 8 at 20:34 UTC and the next new moon will be May
8 at 8:48 UTC; see:
http://sunearth.gsfc.nasa.gov/eclipse/phase/phases.1999-2010.html

I have tried a variety of ways to do the calculation. I have searched this
newsgroup and I have looked at J R Stockton's pages; see:
http://www.merlyn.demon.co.uk/js-dates.htm

The code below is my last attempt. This works, except the time is about a
half hour too far. I assume the result should be 08:48:00 UTC but I get
09:18:00 UTC.

var Start
Start = new Date(Date.UTC(2005, 3, 8, 20, 34));
WScript.echo(Start.toUTCString());
with (Start) {
setDate(getDate()+29);
setHours(getHours()+12);
setMinutes(getMinutes()+44);
}
WScript.echo(Start.toUTCString());



My results are:

Fri, 8 Apr 2005 20:34:00 UTC
Sun, 8 May 2005 09:18:00 UTC


.

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