Saturday, June 13, 2020

Unique Feature of Indian Culture – Scientific & Artistic Knowledge in Poetic Form

Scientific Knowledge in Poetic Form

All the Eighteen intuitive sciences & the Eighteen eternal arts are in magnificent poetic form. There are 400 K verses in Mythology, 400 K verses of Siddhanta, Samhita & Hora and millions on other subjects also. The Law of Epistemic Correlation, that all branches of Knowledge are interrelated, find its fulfillment here, as All knowledge is One Knowledge.

In Indan Astronomy, while calculating the Sheeghra Anomaly based on the Geometrical Model of Parameswara, the following verse is given by Puliyoor

Arka Sphutoniham Kheda Mandasphuta mihoditham

Sparsajya Sheegrakendrardha Labhda karnathara hatha

Karna Yoga hritha bhooya sparsa chapatmaka kritha

Shoditha sheegrakendrardhal syath phalam sheegrasamjnakam
To get Sheeghra Anomaly,
Angle between planet and Sun
Deduct Sun’s Longitude
From Ecliptic Degree.

Sheeghra Anomaly = Ecliptic longitude of planet – Longitude of the Mean Sun.

x, Sheeghra Phalam is the angle formed between the Sun, the planet and the Earth. It is computed as per the formula.

Tan A/2 – x = ( b – a) /( b + a) Tan A/2

”where A is the Sheeghra Kendra, a is the Ravi Manda Karna ( Sun’s distance ), b the Graha Manda Karna ( distance of the planet from the Sun ) and x the Sheeghra Phalam “

Source : The Ganitha Nirnaya

Artistic Knowledge in Poetic Form

“Yatho Hasta thatho Drishti,
Yatho Drishti thatho Manah
Yatho Manah thatho Bhaava,
Yatho Bhaava thatho Rasa.”

Eyes go where the hands are
Mind goeth after eyes biune
Whither Mind goeth, Bhava manifests
With Bhava, Rasa, mood is evoked.

Source : Natya Sastra

…….And the Poet of all Poets , Kavee Kaveenam, is He !

Kavim Puranam anusasitaram
Anor Aniyamsam anusmared yah
Sarvasya Dhataram acintya-rupam
Aditya-varnam tamasah parastat

The Ancient, the Poet of all Poets,
Subtler than the subtlest,
Of Form Unthinkable,
Resides in all as Love

Being the Substratum of all,
Beyond worldly desire,
And Transcendental,
Should be meditated upon.

Source : The Divine Geetha.

Thursday, June 11, 2020

Chaandra Siddhanta II

Chandra Siddhanta II, Theory of Luna

In the Orient, Lalla contributed heavily to the Lunar Theory, as did Newton, Ptolemy & Brahe in the Occident !

Both are  great Civilizations and none plagiarized from the other !

John Playfair, mathematician,
Extolled the Eternians,
For their possession of a Calculus
Equivalent to Trignometry.

(  Did not Einstein say
Indians taught us Maths ?
Or the great Laplace, that System Decimal
Is Indian in origin ? )

The multi step algorithms
Of mighty Hindu Astronomy
Is known as Graha Sphuta Ganita,
Base of all Panchang computations.

We have not defined Vipata Kendra,
The  Vipata Anomaly,
Vi means without
Patha means Node.

Vipata Anomaly means Angle
Between Position and Node.
This is the Second Correction,
Position reduced to Ecliptic.

Manda Anomaly means Angle
Between Position and  Aphelion
Sheeghra Anomaly means Angle
Between Position and  Sun

By Position we mean
The Position of the Planet.
Aphelion is a Point,
180 degrees away from Perihelion.

Of the Fourteen Kendras plotted
The First One deals with the Annual Equation
Moon accelerates during July
And decelerates during Jan !
First Kendra Sin ( Mr + 180 ) * 658

The Second dealt with Equation Parallactic
Sun’s perturbing action on Luna
Creates inequalities in her motion
Second Kendra Sin ( Lc – Lr ) * 121

The Third dealt with Evection,
Moon seems to be carried away
By the Sun’s celestial pull !
Third Kendra   Sin ( 2*T – Mc ) * 4467

The Fourth deals with The Variation
Moon accelerates at 0 and 180
And decelerates at 90 and 270
Fourth Kendra Sin ( 2*T + 6 Signs ) * 2145

All these Four
Are major perturbations.
Ten more are there
Needing corrections trignometric!

Anomaly is defined as the Angle
Between Position & Perihelion
There is no Eccentric Anomaly,
In Indian computations !

Tuesday, June 9, 2020

Chandra Siddhanta, Lunar Theory

Chandra  Sphuta Siddhanta

The Moon, in his journey of the Zodiac, through the 27 constellations, creates the 27 Nakshatras,  which have been defined as the Lunar Mansions of Hindu Astronomy, each one of them occupying 13 degrees 20 minutes of the Zodiac.

Chandra Siddhanta, Lunar Theory

This is the Equation given for the Moon’s largest perturbation. The Moon seems to be carried away by the immense gravitational pull of the Sun, causing its Ecliptic longitude to vary as much as  1.3 degrees. This has been referred to as the third major angle, Kendra,  between Sthithi & Mandoccha in Ganitha Nirnaya and as the second Anomaly in Greek Astronomy, anomaly being the angle between position and perihelion.

Third Kendra

Sin ( 2*T – Mc ) * 4467

Where Mc = Chandra Madhyamam, Mean longitude of Chandra, T = Thidhi = Longitude of Chandra – Longitude of Soorya

Working on Chandra  Siddhanta,
Major Theory of the Moon,
Fourteen Kendras, angles were plotted
By ace astronomers.

Small, small Manda anomalies,
Angles between position & aphelion
As fourteen major perturbations
Of the Moon were identified !

The Essence of Sidddhantas Eighteen
Is the Sanskrit Ganita Nirnaya
Puliyoor studied  all eighteen
Plus Aryaabhaateeya and Maha Bhaskareeya.

Siddhantas  Arya, Brahma Sphuta,
Pancha Siddantika and Siddhanta Siromani,
And came out with a gem
Based on Parameswara’s  Model Geometric !

The Longitude Corrected Thrice,
Manda means Reduction to  Heliocentric
Parinathi means Reduction to  Ecliptic
And Sheeghra means Reduction to  Geocentric

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