Tuesday, February 26, 2013

Bhagya or Fortunate Yogas



The most important House in Astrology is the Ninth House, as it deals with Fortune or Bhagya. It is said that Kunti prayed to the Lord to grant her fortunate children and not scholars or soldiers.



Here we give some verses for Bhagya Yoga.

If the Ninth lord be in
Eleventh and if the lord of 11
Be in House Ninth
Bhagya Yoga indicated !

If all malefics be
In 3, 8 and Eleven
Fortunate the native becomes
Such is Astrology's decree !


The significations of the planets
That tenant the Twelfth
Those significations get fostered
Such is Astrology's decree !

If the lords of 4,7,9 and Venus
Be in Eleventh or Ninth
And receive aspect Saturnine
Fortunate the native becomes !

If the lords of the 4th and Ascendant
Be angular, fortune indicated
During their periods/subperiods
Native enjoys fame and wealth

If a planet be exalted
And is in Fifth or Ninth
Fortunate the native becomes
Such is Astrology's decree !

Swochhopago Bhagy Grihe cha Bhogo
Narasya Jatham Kuruthe cha Lakshmya

If Sun, Mercury and Venus
Tenanth the Lakshmi Sthana
The House Fifth, with Jove in Eleven
Wealth and fame grace the native !

If Sun and the lord of the Ninth
Be in House of Expenditure
The Twelfth, native enjoys
Legacy from father !

If the Sun be exalted in Aries,
Father becomes fortunate
If he be in Libra debilitated
Ill fortune grace father of native !

But if Sagittarius rises
And Sun be debilitated
Native is blessed with wealth
Got as father's legacy!

If Moon be in the Twelfth
Gain from mother indicated !
If Venus be in the Twelfth
Gain from wife indicated !

If Mars be in the Twefth
Gain from brother indicated
Kuje Vyaye Sthitho yasya
Bhrathru bhagyam udheeritham !


If the lords of the Ninth and the Seventh
Be in mutual interchange,parivartana
Native will have gains via wife
And will be self made !

If Jupiter be the lord of the Fifth
And if he be exalted in Cancer
Native's children reach high positions
Such is Astrology's decree !

Wednesday, February 20, 2013

Kerala astronomers




This is the diagram of Manda Kriya, Reduction to the Heliocentric Coordinate System, given by the equation R e Sin M, where e is eccentricity, R is the Radius of the Circle, M is the Anomaly.

The Manda Anomaly is found out by subtracting Aphelion, Mandoccha from the Mean Longitude.

Mean Longitude - Aphelion = Manda Anomaly.

R = 360/ 2 Pi or 180/Pi or 57.3*60*60 = 206265 seconds or Vikalas.

This amount thus got is added to the mean longitude if ML > 180 and deducted if ML < 180.


The Kerala astronomers predate their Western counterparts, particularly Kepler and Laplace by centuries. In his Thesis " The Model of Planetary Motion in the works of the Kerala astronomers", Prof Ramasubramaniam, Physics Professor, Madurai University observes " In conclusion, it may be noted that there is a vast literature on astronomy, including mathematics, both in Sanskrit and Malayalam produced by the Kerala School during the period 14-19th century. Only a fraction of it has been published and so far only a few studies of these texts have appeared ".

The era and the astronomer

Parameswara   - 15th century
Neelakanta      - 16th century
Kepler                17th
Laplace               18


Monday, February 4, 2013

Modern Diagram for the Indian trig functions, Jya and Kojya.



Jya = R Sin

Kojya = R Cos

... R being Vyasardha, the Radius of the Circle = 206265 seconds.

...
These are the trig functions used in Graha Ganitha and is highlighted in Bhaskara's Ganitha Adhyaya.

As one Zodiacal Sign defines 30 degrees of Arc, three consecutive Signs constitue one Vritta Pada, Quadrant of a Circle = 90 degrees and Indian mathematicians used the term Trijya for Radius of the Circle.