HIndu Astrology Consultancy Research & Software – 9388556053 – eastrovedica.com- zodiacastro1 @gmail.com

Scientific Terms of Indian Astronomy – The 18 Siddhantas

M = Mean Anomaly of the planet

A = Aphelion of the Planet

L = Mean Longitude of the Planet

e = Orbital eccentricity

mjv = Orbital eccentricity in seconds

Sheegra Kendra = The Anomaly of Conjunction

Sheegroccha = Perihelion; Mandoccha = Aphelion;

Sheeghra Phala = The Angle between the Planet the

Sun and Earth; Oja = Odd; Yugma = Even;

Manda Kendra = The angle between position and Aphelion;

Sheeghra Kendra Ardha = A/2- half of Sheegra Kendra;

Kranti Vritta = Ecliptic; Vikshepa Vritta = Heliocentric Circle;

Kshithija = Celestial Horizon; Bha Chakra = Zodiac;

Vishuvat Vritta = Celestial Equator;

Khagoleeya Dhruva Rekha = Celestial Meridien;

Vishu Vat Bhoga = Right Ascension( R A );

Meshadi = The First Point of Aries;

Thuladi = The First Point of Libra;

Karkyadi = The First Point of Cancer;

Makaradi = The First Point of Capricorn;

Theta = True Longitude of the planet;

v = True Anomaly; Manda Karna = Radius Vector- heliocentric distance;

Sheeghra Karna = geocentric vector- distance of the planet from the

earth;

Ravi Manda Karna = Sun’s distance;

Nathamsa = Altitude of the Planet;

Digamsa = Azimuth. Bhaga- Kala – Vikala = Deg- Mins- Secs;

Madhyama Manda Karna = Average Vector;

Patha = Node; Thidhi – D or Day or Lunar Day- the first Lunar

Day being the Moon within 12 degrees of the Sun;

Vara – Day of the Week; Bhujajya = R Sin; Kotijya = R Cos;

Sparsajya = Tan;

Sparsachapa= Atan; Bhujachapa = Asin; Kotichapa = Acos;

Pranakalanthara= Difference between Tropical Longitudes

and R A- the difference between Right Ascension & Oblique Ascension;

Kala Hora = Planetary Hours; Hora = Hour; Chara Jya = Sin C;

Manda Jya = Sin M; Parinathi Jya = Sin h;

Guru Sani Karsha – Perturbations of Jupiter and Saturn;

=15=

Chandra Karsha – Perturbations of the Moon;

Chathurdasa Jya Samskaras – 14 trignometric corrections

to the Moon; Vikshepa – Celestial Latitude; Kranti – Declination;

Dhruva = R A ; Sphuta = Celestial Longitude;

Indra – Uranus; Varuna = Neptune; Rudra = Pluto; Kala = Phobos;

Mrityu = Deimos; Gulika = Titan; Yamakandaka = Ganymede;

Vipatendu = Mean Longitude of the Moon – Node of the Moon ;

Manda Karna – heliocentric distance;

Sheegra Karna – geocentric distance of the planet

Parama Vikshepa/ Sara – the angular distance of the orbital plane

from the Ecliptic.

Parama Manda Karna – Maximum Vector- Laghu Manda Karna – Minimum Vecto

Vipata Kendra – the angle between Position and the Node;

Sheegra Kendra – the angle between Position of the planet and the

Earth Sun Vector.

Sara – Reverse Sine- 1-cos x

Chapa – Arcsine. The Arcsine resembles a Bow -Chapa and Versine- Arrow

according to the Indian mathematicians !

Tropical Zero Point – Sayana Meshadi

Sidereal Zero Point – Nirayana Meshadi

Luni-Solar Zero Point – Chaitradi

Vipata Anomaly – Vipata Kendra

Solar Anomaly – Ravi Manda Kendra

Lunar Anomaly – Chandra Manda Kendra

Mean Lunar Longitude – Node = Rahu na Chandra Madhyamam

Daily Motion of the Mean Longitude- Graha Madhyama Dina Gathi

Daily Motion of Aphelion- Mandocha Dina Gathi

Daily Motion of Node- Patha Dina Gathi

Vedic Astronomy & Trignometry

In the Great Circle of Light which is 360 degrees ( the Bha Chakra-

the Kala Chakra- the Zodiac )- the first 90 degrees are Oja Pada

( Odd Tri Signs ) and the next 90 degrees are Yugma Pada ( Even

Tri Signs ). There are two major Indian Planetary Models –

the Eccentric Model and the Epicycle Model. In the Eccentric Model-

the Mean Circle is called Manda Pratimandala- that is the circle

traversed by the mean angular motion of the planet. In the Epicycle

Model- the Planet is on the epicycle- known as Manda Paridhi.

The Equation of Bhuja

The degrees traversed by a planet is called Bhuja and the degrees

yet to be traversed by a planet is called Koti in an Odd Sign. In

an Even Sign-the degrees traversed by the planet is called Koti

and the degrees yet to be traversed by a planet is called Bhuja.

In other words- the degrees traversed by a planet is the same

=16=

in the first 0 – 90 degrees and in the second Pada- it is 180

– degrees traversed. In the 180-270 degrees arc-

it is distance traversed – 180 degrees and in the 270-360 degrees arc

it is 360 – distance traversed. This is known in Vedic Astronomy as

the equation of Bhuja or Sine. Bhujajya is radius multiplied by modern

Sine.

This mighty Circle of Light- Zodiac

Is divided by four into Four Quadrant

Distance traversed is Bhuja in Odd Sign

In Even Sign- it is Koti called !

Bhuja is Radius * Modern Sine

More at http://www.eastrovedica.com

References

Surya Siddhanta

Pitamaha Siddhanta

Vyasa Siddhanta

Vasishta Siddhanta

Atri Siddanta

Parasara Siddhanta

Kashyapa Siddhanta

Narada Siddhanta

Garga Siddhanta

Marichi Siddhanta

Manu Siddhanta

Angira Siddhanta

Lomasa Siddhanta

Paulasa Siddhanta

Yavana Siddhanta

Chyavana Siddhanta

Bhrigu Siddhanta

And Others

Maha Bhaskareeya by Bhaskara I

Arya Siddhanta by Aryabhata I

Maha Siddhanta by Aryabhata II

Siddhanta Siromani by Bhaskara II

Aryabhateeya by Aryabhata

Aryabhateeya Bhasya by Neelakanta Somayaji

Sphuta Nirnaya by Achyuta Pisharodi

Siddhanta Darpana by Neelakanta

Ganitha Adhyaya by Bhaskara

Ganitha Nirnaya by Puliyoor

Brahma Sphuta Siddhanta by Brahmagupta

Siddhanta Shekhara by Sripathi

Siddhanta Tatva Viveka by Kamaleswara

Siddanta Deepika by Parameswara

Tantrasangraha by Neelakanta

Venvaroha by Madhava

Yukthi Bhasha by Jyeshta Deva

Jyothir Meemamsa by Neelakanta

Gola Deepika by Parameswara

Drig Ganitha – By Parameswara

Grahana Nyaya Deepika by Parameswara

=17=

Kerala School of Hindu Astronomy by Prof K V Sarma

Geometry in Ancient and Medieval India by T A Saraswathy

Indian Journal of History Sciences by A K Baig

The Science of Ancient Hindu Geometry by B Dutta

Parameswara’s Rule by R C Dutta

Indian Journal of History Sciences by R C Dutta

Madhava of Sangramagrama by Journal of Kerala Studies

On the Quadrature of the Circle by C T Rajagopal

Medieval Kerala Mathematics – Archive of History of Science by C T Raj

Laghu Bhaskareeya by Sankara Narayanan

Geometry of Sree Yantra by N C Bolton

Mayoora Shikha ( The Crest of the Peacock ) by Dr Joseph

The Cultural Foundations of Mathematics by Dr C K Raju

Bharateeya Ganitha

Bharateeya Pari Sthithi

On the Hindu Quadrature of the circle and the infinite series

of the proportion of the circumference to the diameter exhibited

in the four Sastras – the Tantra Sahgraham Yucti Bhasha

Carana Padhati and Sadratnamala by Charles Mathew Whish

Facebook

Scientific Terms of Indian Astronomy – The 18 Siddhantas

M = Mean Anomaly of the planet

A = Aphelion of the Planet

L = Mean Longitude of the Planet

e = Orbital eccentricity

mjv = Orbital eccentricity in seconds

Sheegra Kendra = The Anomaly of Conjunction

Sheegroccha = Perihelion; Mandoccha = Aphelion;

Sheeghra Phala = The Angle between the Planet the

Sun and Earth; Oja = Odd; Yugma = Even;

Manda Kendra = The angle between position and Aphelion;

Sheeghra Kendra Ardha = A/2- half of Sheegra Kendra;

Kranti Vritta = Ecliptic; Vikshepa Vritta = Heliocentric Circle;

Kshithija = Celestial Horizon; Bha Chakra = Zodiac;

Vishuvat Vritta = Celestial Equator;

Khagoleeya Dhruva Rekha = Celestial Meridien;

Vishu Vat Bhoga = Right Ascension( R A );

Meshadi = The First Point of Aries;

Thuladi = The First Point of Libra;

Karkyadi = The First Point of Cancer;

Makaradi = The First Point of Capricorn;

Theta = True Longitude of the planet;

v = True Anomaly; Manda Karna = Radius Vector- heliocentric distance;

Sheeghra Karna = geocentric vector- distance of the planet from the

earth;

Ravi Manda Karna = Sun’s distance;

Nathamsa = Altitude of the Planet;

Digamsa = Azimuth. Bhaga- Kala – Vikala = Deg- Mins- Secs;

Madhyama Manda Karna = Average Vector;

Patha = Node; Thidhi – D or Day or Lunar Day- the first Lunar

Day being the Moon within 12 degrees of the Sun;

Vara – Day of the Week; Bhujajya = R Sin; Kotijya = R Cos;

Sparsajya = Tan;

Sparsachapa= Atan; Bhujachapa = Asin; Kotichapa = Acos;

Pranakalanthara= Difference between Tropical Longitudes

and R A- the difference between Right Ascension & Oblique Ascension;

Kala Hora = Planetary Hours; Hora = Hour; Chara Jya = Sin C;

Manda Jya = Sin M; Parinathi Jya = Sin h;

Guru Sani Karsha – Perturbations of Jupiter and Saturn;

=15=

Chandra Karsha – Perturbations of the Moon;

Chathurdasa Jya Samskaras – 14 trignometric corrections

to the Moon; Vikshepa – Celestial Latitude; Kranti – Declination;

Dhruva = R A ; Sphuta = Celestial Longitude;

Indra – Uranus; Varuna = Neptune; Rudra = Pluto; Kala = Phobos;

Mrityu = Deimos; Gulika = Titan; Yamakandaka = Ganymede;

Vipatendu = Mean Longitude of the Moon – Node of the Moon ;

Manda Karna – heliocentric distance;

Sheegra Karna – geocentric distance of the planet

Parama Vikshepa/ Sara – the angular distance of the orbital plane

from the Ecliptic.

Parama Manda Karna – Maximum Vector- Laghu Manda Karna – Minimum Vecto

Vipata Kendra – the angle between Position and the Node;

Sheegra Kendra – the angle between Position of the planet and the

Earth Sun Vector.

Sara – Reverse Sine- 1-cos x

Chapa – Arcsine. The Arcsine resembles a Bow -Chapa and Versine- Arrow

according to the Indian mathematicians !

Tropical Zero Point – Sayana Meshadi

Sidereal Zero Point – Nirayana Meshadi

Luni-Solar Zero Point – Chaitradi

Vipata Anomaly – Vipata Kendra

Solar Anomaly – Ravi Manda Kendra

Lunar Anomaly – Chandra Manda Kendra

Mean Lunar Longitude – Node = Rahu na Chandra Madhyamam

Daily Motion of the Mean Longitude- Graha Madhyama Dina Gathi

Daily Motion of Aphelion- Mandocha Dina Gathi

Daily Motion of Node- Patha Dina Gathi

Vedic Astronomy & Trignometry

In the Great Circle of Light which is 360 degrees ( the Bha Chakra-

the Kala Chakra- the Zodiac )- the first 90 degrees are Oja Pada

( Odd Tri Signs ) and the next 90 degrees are Yugma Pada ( Even

Tri Signs ). There are two major Indian Planetary Models –

the Eccentric Model and the Epicycle Model. In the Eccentric Model-

the Mean Circle is called Manda Pratimandala- that is the circle

traversed by the mean angular motion of the planet. In the Epicycle

Model- the Planet is on the epicycle- known as Manda Paridhi.

The Equation of Bhuja

The degrees traversed by a planet is called Bhuja and the degrees

yet to be traversed by a planet is called Koti in an Odd Sign. In

an Even Sign-the degrees traversed by the planet is called Koti

and the degrees yet to be traversed by a planet is called Bhuja.

In other words- the degrees traversed by a planet is the same

=16=

in the first 0 – 90 degrees and in the second Pada- it is 180

– degrees traversed. In the 180-270 degrees arc-

it is distance traversed – 180 degrees and in the 270-360 degrees arc

it is 360 – distance traversed. This is known in Vedic Astronomy as

the equation of Bhuja or Sine. Bhujajya is radius multiplied by modern

Sine.

This mighty Circle of Light- Zodiac

Is divided by four into Four Quadrant

Distance traversed is Bhuja in Odd Sign

In Even Sign- it is Koti called !

Bhuja is Radius * Modern Sine

More at http://www.eastrovedica.com

References

Surya Siddhanta

Pitamaha Siddhanta

Vyasa Siddhanta

Vasishta Siddhanta

Atri Siddanta

Parasara Siddhanta

Kashyapa Siddhanta

Narada Siddhanta

Garga Siddhanta

Marichi Siddhanta

Manu Siddhanta

Angira Siddhanta

Lomasa Siddhanta

Paulasa Siddhanta

Yavana Siddhanta

Chyavana Siddhanta

Bhrigu Siddhanta

And Others

Maha Bhaskareeya by Bhaskara I

Arya Siddhanta by Aryabhata I

Maha Siddhanta by Aryabhata II

Siddhanta Siromani by Bhaskara II

Aryabhateeya by Aryabhata

Aryabhateeya Bhasya by Neelakanta Somayaji

Sphuta Nirnaya by Achyuta Pisharodi

Siddhanta Darpana by Neelakanta

Ganitha Adhyaya by Bhaskara

Ganitha Nirnaya by Puliyoor

Brahma Sphuta Siddhanta by Brahmagupta

Siddhanta Shekhara by Sripathi

Siddhanta Tatva Viveka by Kamaleswara

Siddanta Deepika by Parameswara

Tantrasangraha by Neelakanta

Venvaroha by Madhava

Yukthi Bhasha by Jyeshta Deva

Jyothir Meemamsa by Neelakanta

Gola Deepika by Parameswara

Drig Ganitha – By Parameswara

Grahana Nyaya Deepika by Parameswara

=17=

Kerala School of Hindu Astronomy by Prof K V Sarma

Geometry in Ancient and Medieval India by T A Saraswathy

Indian Journal of History Sciences by A K Baig

The Science of Ancient Hindu Geometry by B Dutta

Parameswara’s Rule by R C Dutta

Indian Journal of History Sciences by R C Dutta

Madhava of Sangramagrama by Journal of Kerala Studies

On the Quadrature of the Circle by C T Rajagopal

Medieval Kerala Mathematics – Archive of History of Science by C T Raj

Laghu Bhaskareeya by Sankara Narayanan

Geometry of Sree Yantra by N C Bolton

Mayoora Shikha ( The Crest of the Peacock ) by Dr Joseph

The Cultural Foundations of Mathematics by Dr C K Raju

Bharateeya Ganitha

Bharateeya Pari Sthithi

On the Hindu Quadrature of the circle and the infinite series

of the proportion of the circumference to the diameter exhibited

in the four Sastras – the Tantra Sahgraham Yucti Bhasha

Carana Padhati and Sadratnamala by Charles Mathew Whish

Facebook

Scientific Terms of Indian Astronomy – The 18 Siddhantas M = Mean Anomaly of the planet A = Aphelion of the Planet L = Mean Longitude of the Planet e = Orbital eccentricity mjv = Orbital eccentricity in seconds Sheegra Kendra = The Anomaly of Conjunction Sheegroccha = Perihelion; Mandoccha = Aphelion; Sheeghra Phala = The Angle between the Planet the Sun and Earth; Oja = Odd; Yugma = Even; Manda Kendra = The angle between position and Aphelion; Sheeghra Kendra Ardha = A/2- half of Sheegra Kendra; Kranti Vritta = Ecliptic; Vikshepa Vritta = Heliocentric Circle; Kshithija = Celestial Horizon; Bha Chakra = Zodiac; Vishuvat Vritta = Celestial Equator; Khagoleeya Dhruva Rekha = Celestial Meridien; Vishu Vat Bhoga = Right Ascension( R A ); Meshadi = The First Point of Aries; Thuladi = The First Point of Libra; Karkyadi = The First Point of Cancer; Makaradi = The First Point of Capricorn; Theta = True Longitude of the planet; v = True Anomaly; Manda Karna = Radius Vector- heliocentric distance; Sheeghra Karna = geocentric vector- distance of the planet from the earth; Ravi Manda Karna = Sun’s distance; Nathamsa = Altitude of the Planet; Digamsa = Azimuth. Bhaga- Kala – Vikala = Deg- Mins- Secs; Madhyama Manda Karna = Average Vector; Patha = Node; Thidhi – D or Day or Lunar Day- the first Lunar Day being the Moon within 12 degrees of the Sun; Vara – Day of the Week; Bhujajya = R Sin; Kotijya = R Cos; Sparsajya = Tan; Sparsachapa= Atan; Bhujachapa = Asin; Kotichapa = Acos; Pranakalanthara= Difference between Tropical Longitudes and R A- the difference between Right Ascension & Oblique Ascension; Kala Hora = Planetary Hours; Hora = Hour; Chara Jya = Sin C; Manda Jya = Sin M; Parinathi Jya = Sin h; Guru Sani Karsha – Perturbations of Jupiter and Saturn; =15= Chandra Karsha – Perturbations of the Moon; Chathurdasa Jya Samskaras – 14 trignometric corrections to the Moon; Vikshepa – Celestial Latitude; Kranti – Declination; Dhruva = R A ; Sphuta = Celestial Longitude; Indra – Uranus; Varuna = Neptune; Rudra = Pluto; Kala = Phobos; Mrityu = Deimos; Gulika = Titan; Yamakandaka = Ganymede; Vipatendu = Mean Longitude of the Moon – Node of the Moon ; Manda Karna – heliocentric distance; Sheegra Karna – geocentric distance of the planet Parama Vikshepa/ Sara – the angular distance of the orbital plane from the Ecliptic. Parama Manda Karna – Maximum Vector- Laghu Manda Karna – Minimum Vecto Vipata Kendra – the angle between Position and the Node; Sheegra Kendra – the angle between Position of the planet and the Earth Sun Vector. Sara – Reverse Sine- 1-cos x Chapa – Arcsine. The Arcsine resembles a Bow -Chapa and Versine- Arrow according to the Indian mathematicians ! Tropical Zero Point – Sayana Meshadi Sidereal Zero Point – Nirayana Meshadi Luni-Solar Zero Point – Chaitradi Vipata Anomaly – Vipata Kendra Solar Anomaly – Ravi Manda Kendra Lunar Anomaly – Chandra Manda Kendra Mean Lunar Longitude – Node = Rahu na Chandra Madhyamam Daily Motion of the Mean Longitude- Graha Madhyama Dina Gathi Daily Motion of Aphelion- Mandocha Dina Gathi Daily Motion of Node- Patha Dina Gathi Vedic Astronomy & Trignometry In the Great Circle of Light which is 360 degrees ( the Bha Chakra- the Kala Chakra- the Zodiac )- the first 90 degrees are Oja Pada ( Odd Tri Signs ) and the next 90 degrees are Yugma Pada ( Even Tri Signs ). There are two major Indian Planetary Models – the Eccentric Model and the Epicycle Model. In the Eccentric Model- the Mean Circle is called Manda Pratimandala- that is the circle traversed by the mean angular motion of the planet. In the Epicycle Model- the Planet is on the epicycle- known as Manda Paridhi. The Equation of Bhuja The degrees traversed by a planet is called Bhuja and the degrees yet to be traversed by a planet is called Koti in an Odd Sign. In an Even Sign-the degrees traversed by the planet is called Koti and the degrees yet to be traversed by a planet is called Bhuja. In other words- the degrees traversed by a planet is the same =16= in the first 0 – 90 degrees and in the second Pada- it is 180 – degrees traversed. In the 180-270 degrees arc- it is distance traversed – 180 degrees and in the 270-360 degrees arc it is 360 – distance traversed. This is known in Vedic Astronomy as the equation of Bhuja or Sine. Bhujajya is radius multiplied by modern Sine. This mighty Circle of Light- Zodiac Is divided by four into Four Quadrant Distance traversed is Bhuja in Odd Sign In Even Sign- it is Koti called ! Bhuja is Radius * Modern Sine More at http://www.eastrovedica.com References Surya Siddhanta Pitamaha Siddhanta Vyasa Siddhanta Vasishta Siddhanta Atri Siddanta Parasara Siddhanta Kashyapa Siddhanta Narada Siddhanta Garga Siddhanta Marichi Siddhanta Manu Siddhanta Angira Siddhanta Lomasa Siddhanta Paulasa Siddhanta Yavana Siddhanta Chyavana Siddhanta Bhrigu Siddhanta And Others Maha Bhaskareeya by Bhaskara I Arya Siddhanta by Aryabhata I Maha Siddhanta by Aryabhata II Siddhanta Siromani by Bhaskara II Aryabhateeya by Aryabhata Aryabhateeya Bhasya by Neelakanta Somayaji Sphuta Nirnaya by Achyuta Pisharodi Siddhanta Darpana by Neelakanta Ganitha Adhyaya by Bhaskara Ganitha Nirnaya by Puliyoor Brahma Sphuta Siddhanta by Brahmagupta Siddhanta Shekhara by Sripathi Siddhanta Tatva Viveka by Kamaleswara Siddanta Deepika by Parameswara Tantrasangraha by Neelakanta Venvaroha by Madhava Yukthi Bhasha by Jyeshta Deva Jyothir Meemamsa by Neelakanta Gola Deepika by Parameswara Drig Ganitha – By Parameswara Grahana Nyaya Deepika by Parameswara =17= Kerala School of Hindu Astronomy by Prof K V Sarma Geometry in Ancient and Medieval India by T A Saraswathy Indian Journal of History Sciences by A K Baig The Science of Ancient Hindu Geometry by B Dutta Parameswara’s Rule by R C Dutta Indian Journal of History Sciences by R C Dutta Madhava of Sangramagrama by Journal of Kerala Studies On the Quadrature of the Circle by C T Rajagopal Medieval Kerala Mathematics – Archive of History of Science by C T Raj Laghu Bhaskareeya by Sankara Narayanan Geometry of Sree Yantra by N C Bolton Mayoora Shikha ( The Crest of the Peacock ) by Dr Joseph The Cultural Foundations of Mathematics by Dr C K Raju Bharateeya Ganitha Bharateeya Pari Sthithi On the Hindu Quadrature of the circle and the infinite series of the proportion of the circumference to the diameter exhibited in the four Sastras – the Tantra Sahgraham Yucti Bhasha Carana Padhati and Sadratnamala by Charles Mathew Whish Facebook

Leave a Reply Cancel reply