How do I find the date of next crescent moon on Wolframalpha or any other site which tells the appearance date time of next crescent on a specific location?
I am searching for it to look for 1st of Ramadan.
Well, in the short-term I can tell you it's a new moon tomorrow (July 30) and a very thin 2% crescent on July 31.
Otherwise, there are tons of websites out there that a quick Google search reveals. Looks like both StarDate and Moon Connection let you select the month and year and will show you a calendar for that month.
If you go to Wolfram Alpha and type in
You get some very helpful information - the exact date and time of the next new moon (in the local time zone), as well as the moon rise and set times. Doing that right now, I get the following:
You can decide if that is the information you need to compute the first day of Ramadan - but you can see here that if the new moon happens at 5:08 pm, and the moon sets at 6:57 pm, you could see a tiny sliver. If you wait a day, you will see another 2% or so.
I do not know the exact definition of the lunar months - but it seems WA is able to answer your query quite nicely. Which was your original question...