“How To Calculate Tithi and Nakshatra & its Pada Manually?” – an article written by Vishal Aksh

(1) Tithi and Nakshatra & its Pada find important role not only in Vedic Jyotish but also in deciding almost all the Vedic festivals except Sankranti Festivals.

(2) Tithi & Nakshatra is equally useful to perform the astrological remedies.

(3)In English the Tithi is kanown as lunar date & Nakshatra the Constellation.

(4) In this article I tell the simple way to calculate the Tithi & Nakshatra for the benefit of learners & researchers of Vedic Jyotish.

 

Part 1. Calculation Of Tithi In Simple Way

(5) To calculate Tithi all you need is the longitudes of Sun and Moon. This process of calculating the Tithi holds good for both Sidereal & tropical longitudes of Sun & Moon.

(6) For example, today on Monday, February 20, 2017 at the time of Sunrise in almost all the areas near New Delhi the national capital of India the Sidereal Longitudes of Sun and Moon are Aquarius 07⁰ 30’ 21” and Scorpio 21⁰ 04’ 08”

(7) Solar Sidereal Longitude Aquarius 07⁰ 30’ 21” when changed to degrees becomes = 307.50583333333333333333333333333⁰

(8) Lunar Sidereal Longitude Scorpio 21⁰ 04’ 08” when changed to degrees becomes= 231.06888888888888888888888888889⁰

(9) The Formula to calculate Tithi = (Lunar Longitude – Solar Longitude) ÷ 12

(10) In the formula to calculate Tithi add 360⁰ if (Lunar Longitude – Solar Longitude) is less than zero or possesses negative value.

(11) Now putting the values of Lunar & Solar longitudes in degrees in the formula given under (9)

(12) Tithi = (Lunar Longitude In Degrees – Solar Longitude In Degrees) ÷ 12

= (231.06888888888888888888888888889 – 307.50583333333333333333333333333)⁰ ÷ 12

= (-76.436944444444444444444444444443)⁰ ÷ 12, in bracket the value is with minus so add 360⁰

= (360 -76.436944444444444444444444444443)⁰ ÷ 12

=283.56305555555555555555555555556⁰ ÷ 12

= 23.63025462962962962962962962963⁰, this value comes out more than 23 so it is 24th and thus the Tithi or Lunar date at the time of Sunrise as described under (6) is 24th.

(13)If the number after calculation as described under (12) comes out to be less than 15 then the Tithi is of Bright half otherwise the Tithi is of Dark Half.

(14) In this present case the number is 24 and it is more than 15 so subtract 15 from 24. It comes out to be 9 so the Tithi at the time of Sunrise as described under (6) is 9th of Dark Half or Krishana Navmi.

(15) Take the final value 23.63025462962962962962962962963 as written under (12) again and take its right hand side decimal value by leaving the left hand side value and you get 0.63025462962962962962962962963 and now subtract this value from 1 or

(16) 1 – 0.63025462962962962962962962963 = 0.36974537037037037037037037037

(17) By multiplying the value written under (16) you get the percentage of Tithi left at the time of that Sunrise

= 0.36974537037037037037037037037 × 100 = 36.974537037037037037037037037% or about 36.97%

(18) 36.97% of 9th of Dark Half left at the time of that Sunrise.

 

Part 2. Calculation Of Nakshatra & Its Pada In Simple Way

(19) To calculate Nakshatra manually take only the Sidereal Lunar Longitude in Degrees which in this case is 231.06888888888888888888888888889⁰ and multiply it by 60 and then divide it by 800.

(20) Mathematically,

Nakshatra = {(Lunar Sidereal Longitude In Degrees) × 60} ÷ 800

(21) Putting the value in formula written under (20)

Nakshatra = {(231.06888888888888888888888888889) × 60)} ÷ 800

= {13864.133333333333333333333333333} ÷ 800 = 17.330166666666666666666666666667

Or Nakshatra = 17.330166666666666666666666666667 or 18th

If the final value is 1st the Nakshatra is Aswani, 2nd Bharnai, 3rd Kritika, 4th Rohini, 5th Mrigshira, 6th Ardra, 7th Punarvasu, 8th Pushya, 9th Aslesha, 10th Magha, 11th Poorvaphalgune, 12th Uttaraphalgune, 13th Hasta, 14th Chitra, 15th Swati, 16th Vishakaha, 17th Anuradha, 18th Jyestha, 19th Moola, 20th Poorvaashada, 21st Uttraashada, 22nd Sharavan, 23rd Dhansita, 24th Shatbhisa, 25th Poorvabhadrapada, 26th Uttarbhadrapada and 27th Revati.

In this case the Nakshatra come out to be 18th which means is Jyestha.

 

(22) To Calculate the Pada of any Nakshatra take the value of that Nakshatra which in this case is 17.330166666666666666666666666667

(23) Take the decimal side of the value written under (22) which in this case is 0.330166666666666666666666666667 and multiply this by 800

Or 0.330166666666666666666666666667 × 800 = 264.1333333333333333333333333336

If this values is within 0 to 200 it is first Pada, within 200 to 400 it is second Pada, within 400 to 600 it is 3rd pada and within 600 to 800 it is 4th pada.

(24) In this case the value 264.1333333333333333333333333336 is within 200 to 400 so Moon occupies 2nd Pada of Jyestha Nakshatra at the time of that Sunrise.

 

(25) Conclusion: Today on Monday, February 20, 2017 at the time of Sunrise in places near to New Delhi the national capital of India it was 9th of Dark Half and that Sunrise occurred in 2nd Pada of Jyestha Nakshatra.

 

Written on Monday, February 20, 2017 at 13:05 (IST) by

Vishal Aksh

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