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Find my Nakshatram
Your Nakshatram is decided by where the Moon actually was when you were born — not by your birth month. It is calculated here from the Moon's real longitude, with the Lahiri ayanamsa, using the UTC offset that applied at your birthplace on that date.
The Moon moves about thirteen degrees a day and a Nakshatra is thirteen degrees and twenty minutes wide, so the time matters. If you do not know it, say so — where the answer is genuinely open, this will tell you rather than choose for you.