Aryabhata Hypothess - Mean Longitude Correction Method.
India is not a Colony, but a Nation,
A Civilization, like the mighty West.
India has her Poets, Scientists and Philosophers,
Just like the powerful West.
As scholars, Indian and Western, believe differently
Let us be least controversial
Both are great civilizations
And none plagiarised from the other.
Kepler first postulated Planetary Laws.
According to Indian Learning,
Aryabhata first calculated celestial longitudes !
( Aryabhato Graha Ganitham }
Correct Mean Longitude thrice
ComputIng Anomalies, Manda, Vipata & Sheeghra,
Considering majot perturbations
And you get the true longitude
The Great Guru Shani Karsha,
m = 1187 secs*( Sin ( xyear - 4660) * 360/918)
And four more perturbations are computed
Before the major calculations !
About Computation of Celestial Longitudes
http://www.eastrovedica.com/html/computingvedicplanetarypositions.htm
Soorya is the Central Eye
Of the Solar System
Because of his celestial gravity,
All planets revolve.
{ Soorya Jagata Chakshu, Gurutvakarshan }
Correcting the Mean Longitude Method
Is based on the Aryabhatan Model.
Kerala School follows this Model,
Of a Helio Geo Universe.
Lord of the Logos is Soorya,
And cause of the Solar system.
Will reveal the Eye of the Vedas,
For it cometh from Universal Mind!
Sooryam na tva Graha patim
Jagaat Utpathi Karanam
Vakshyami Veda Nayanam
Yadha Brahma Mukhasrutham.
Refutation of charges againstt Sun Worship
Eternians have been chastised
For worshipping the Sun
They worship not the external Sun,
But the Inner Sun, the Atma Tattva, Divya Tattva !
The Sun is the source of all Energy
Without him, life on Earth not possible
Its thermonuclear fusion reaction
Gives heat to the Logos entire1
Without Him, can humanity exist ?
So He is the only visible Deity !
His longitude creates the Seasons,
And He is the basis for Time Calculations !
If the pagans are superstitious,
For worshipping a God they have seen
Anti pagans are more superstitious
For worshipping a God they have never seen !
Astronomy is said to be the Science of the Heavens and Astrology, the Wisdom of the Heavens. The subtle difference between physical Science and intuitive science is the only difference between the two, even though some astronomers in their ego will say Astrology is not a science. Without the basic knowledge of Astronomy, the knowledge of an astrologer is not complete. Ganita means Astronomy and the mathematical aspect of Astion
rologia Vedica. Gnosis means Knowledge or Wisdom and the true Astro Gnosis is the knowledge of all the three branches, Astronomy, Mathematics and Astrology, Siddhanta, Samhitha and Hora. Jyothishastra praveeno graha ganitha padu, so thra daivajna uktha . The Kerala Mathemlanetary longitudes by the triune method of correction of the mean longitude of the planet. The planet on the Mean Circle was brought to the Heliocentric Circle, then to the Ecliptic Circle and finally to the Geocentric Coordinate System !
The planet on the Mean Circle is known as Griha Madhyama and the reduced planet to the Heliocentric Circle is known as Vikshepa Vriteeya Sphuta Griha. Then it is brought ot the Ecliptic Circle and he is known as Kranti Vritteeya Sphuta Griha. Then it is brought to the Geocentric Circle and he is known as Sheegra Vritteeya Sphuta Griha. This is totally different from the Western calculations, propagated by Kepler, Laplace, Schlyter or Keith Burnett, where the True Anomaly of the planet is found and then the Argument of Perihelion added ! So let no one claim that Indian Astronomy is derived from Greek sources !
We have the Pingree and Van
der Werden Hypothesis, the Naugbauer Hypothesis that the multi step algorithms
of Indian Astronomy approximated a Greek Planetary Model, an eccentre and
epicyclical Model. We have to respect them, as at least they admitted that
India had an Astronomy. Not like Thibeau or Whitney who said that the ancient
Indians had no knowledge of Astronomy or Maths, when they saw gigantic
calculations like 311.04 trillion year cycles ( Maha Manvantara ) and the
Cosmological Cycle (4.32 billion years ). They said these calculations
were plagiarised from the Romans and the Greeks!
Dr Carl Sagan opined that
while Christians were calculating in thousands, Hindus were calculating in
trillions !
The Radius Vector, said
Kepler, sweeps out equal areas in equal time. Parameswara in the 15th century
and Nilakantha in the 16th talked about Vyasardha Manda Karna. Vyasa is
Diameter. Vysardha is Radius and Vyasardha Mandakarna is nothing but Radius
Vector.
Kepler's Second Law states that
All planets move faster at
Perihelion and move slower at Aphelion. That was known to the Indian
astronomers. Otherwise they wouldnt have called Aphelion, Mandoccha ( Manda -
slow ) and Perihelion, Sheegrocha ( Sheeghra - fast ) !
Let us get the dates of the
astronomers
Parameswara - 15th century C
E
Nilakanta - 16th
Kepler - 17th
Laplace - 18th
These are the Nine Orbital Elements of
the Kerala School of Astronomy and Maths, from which planetary longitudes are
computed.
Mean longitude of Planet, Graha Madhyama , M
Daily Motion of the Mean Longitude, Madhyama Dina Gathi, Md
Aphelion, Mandoccha, Ap
Daily Motion of Aphelion, Mandoccha Dina Gathi, Apd
Ascending Node, Patha, N
Daily Motion of Ascending Node, Patha Dina Gathi, Nd
Heliocentric Distance, Manda Karna, radius vector, mndk
Maximum Latitude, L, Parama Vikshepa
Eccentricity, Chyuthi,e
In Western Astronomy, we have six orbital elements
Mean Anomaly, m
Argument of Perihelion, w
Eccentricity, e
Ascending Node, N
Inclination, i, inclinent of orbit
Semi Major Axis, a
This is the Longitude
corrected thrice Method of Kerala Astronomy
While the Western method
is brilliant, finding out the True Anomaly of the Planet ( Theta = v + w )
and then converting it into Cartesian coordinates, x,y and z and then
converting them into Spherical Coordinates, r, Theta and Phi ( vide
Paul Schlyter, Computing Planetary Positions.htm ), the Kerala Method is no
less effective.
In the Kerala Method, after computing the Mean Longitude of the planet, Graha Madhyamam, the Manda Anomaly, the angle between Position ( of the planet ) and Aphelion is computed. The formula used is Manda Anomaly = Mean Longitude of the Planet - Aphelion. Then Manda jya phalam, x, the angle between the planet on the Mean Circle and the planet on the Heliocentric circle, is computed by the formula x = R e Sin M and x is then added ( if long > 180 ) or subtracted ( if long <180 ) to the Mean Longitude of the planetg.
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