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JANTAR MANTARJANTAR MANTAR
Stone Astronomical ObservatoryStone Astronomical Observatory
Ancient India made some bigAncient India made some big
advances in science becauseadvances in science because
it was in constant contact withit was in constant contact with
other countries. After theother countries. After the
conquest of the Indus basin byconquest of the Indus basin by
Darius around 520 B.C. IndiaDarius around 520 B.C. India
was thrown wide open towas thrown wide open to
Babylonian influences.Babylonian influences.
Through the Persians, IndiaThrough the Persians, India
also came into contact withalso came into contact with
Greece. All these contactsGreece. All these contacts
greatly helped India ingreatly helped India in
enriching her sciences,enriching her sciences,
particularly astronomy.particularly astronomy.
Darius
There is ample evidence to show thatThere is ample evidence to show that
Aryabhata (499 A.D.) and Varahamihira (6thAryabhata (499 A.D.) and Varahamihira (6th
century A.D.) were well-acquainted withcentury A.D.) were well-acquainted with
Greek astronomy.Greek astronomy.
The most celebrated astronomers afterThe most celebrated astronomers after
Varahamihira were Brahmagupta (b.598Varahamihira were Brahmagupta (b.598
A.D.), Lalla (8th cent.), Manjula or MunjalaA.D.), Lalla (8th cent.), Manjula or Munjala
(10th cent.), Shripati (c.1039 A.D.) and(10th cent.), Shripati (c.1039 A.D.) and
Bhaskaracharya (b.1114 A.D.).Bhaskaracharya (b.1114 A.D.).
In the post-Bhaskara period not muchIn the post-Bhaskara period not much
original work in astronomy and mathematicsoriginal work in astronomy and mathematics
was done in India till modern times.was done in India till modern times.
AryabhataAryabhata
VarahamihiraVarahamihira
BhaskaracharyaBhaskaracharya
The Islamic world produced greatThe Islamic world produced great
mathematician-astronomers:mathematician-astronomers:
 Al-Khwarismi (780-850 A.D.)Al-Khwarismi (780-850 A.D.)
 Al-Battani (850-929 A.D.)Al-Battani (850-929 A.D.)
 Tabit ibn Qurra (836-901 A.D.)Tabit ibn Qurra (836-901 A.D.)
 Al-Sufi ( 10th cent.)Al-Sufi ( 10th cent.)
 Al-Biruni (973-1848 A.D.)Al-Biruni (973-1848 A.D.)
 Omar Khayyam (1048-1124 A.D.)Omar Khayyam (1048-1124 A.D.)
 Nasir al-din at-Tusi (1201-1274 A.D.).Nasir al-din at-Tusi (1201-1274 A.D.).
The last one was in- charge of theThe last one was in- charge of the
observatory at Maragha in Iran.observatory at Maragha in Iran.
In 1420 A.D., Ulugh Begh, grandson ofIn 1420 A.D., Ulugh Begh, grandson of
Timur, built an observatory at Samarkand.Timur, built an observatory at Samarkand.
Using very big but high-precisionUsing very big but high-precision
instruments he prepared a Star catalogueinstruments he prepared a Star catalogue
which was much better than that ofwhich was much better than that of
Ptolemy.Ptolemy.
Samarkand
Maragha
 After a long time Sawai Jai Singh II was theAfter a long time Sawai Jai Singh II was the
man from India who showed the greatestman from India who showed the greatest
interest in Arabic/Persian astronomy.interest in Arabic/Persian astronomy.
 He was born in the ruling family of AmberHe was born in the ruling family of Amber
in Rajasthan in 1686 A.D., one year afterin Rajasthan in 1686 A.D., one year after
Newton published his book Principia. HeNewton published his book Principia. He
succeeded to the Amber throne at the agesucceeded to the Amber throne at the age
of thirteen.of thirteen.
 Later on he was appointed by MohammadLater on he was appointed by Mohammad
Shah governor of the province of Agra andShah governor of the province of Agra and
then also of Malwa. From an early age Jaithen also of Malwa. From an early age Jai
Singh was very much interested inSingh was very much interested in
astronomical observations and hadastronomical observations and had
acquired thorough knowledge of itsacquired thorough knowledge of its
principles and rules.principles and rules.
 Jai Singh felt a great urge in reviving theJai Singh felt a great urge in reviving the
study of astronomy in India. With the aim ofstudy of astronomy in India. With the aim of
preparingpreparing new tables, Jai Singh at firstnew tables, Jai Singh at first
started with the traditional brassstarted with the traditional brass
instruments. Realising their inadequacy, heinstruments. Realising their inadequacy, he
discarded them in favour of stone anddiscarded them in favour of stone and
masonry instruments of huge size.masonry instruments of huge size.
 For observing the heavens Jai Singh builtFor observing the heavens Jai Singh built
observatories at five places :observatories at five places : Delhi,Delhi,
Jaipur, Mathura, Ujjain andJaipur, Mathura, Ujjain and
Varanasi.Varanasi. The first one was built in DelhiThe first one was built in Delhi
in year around 1724. These observatories,in year around 1724. These observatories,
which in course of time came to be calledwhich in course of time came to be called
'Jantar Mantar', housed a wide variety of'Jantar Mantar', housed a wide variety of
masonry and metal instruments.masonry and metal instruments.
 Jai Singh, making use of the masonry and metalJai Singh, making use of the masonry and metal
instruments of his observatories, prepared theinstruments of his observatories, prepared the
astronomical treatise Zij-I -Muhammad Shah andastronomical treatise Zij-I -Muhammad Shah and
dedicated it to the reigning monarch Muhammad Shah.dedicated it to the reigning monarch Muhammad Shah.
The work was completed around 1727-28 A.D.The work was completed around 1727-28 A.D.
 Jai Singh's court astronomer Pt.Jagannatha, who hadJai Singh's court astronomer Pt.Jagannatha, who had
mastered in Arabic and Persian, translated from Arabicmastered in Arabic and Persian, translated from Arabic
into Sanskrit works titled Rekhaganita and Siddhanta-into Sanskrit works titled Rekhaganita and Siddhanta-
Samrata. The translation of the former was completed inSamrata. The translation of the former was completed in
1718 A.D. and of the latter in 1731 A.D.1718 A.D. and of the latter in 1731 A.D.
 Jai Singh had established contacts withJai Singh had established contacts with
Jesuit missionaries in India and had alsoJesuit missionaries in India and had also
known the telescope. But he did not makeknown the telescope. But he did not make
use of the Copernican revolution ushereduse of the Copernican revolution ushered
in Europe. He remained a firm follower ofin Europe. He remained a firm follower of
the geocentric system of Indian traditionthe geocentric system of Indian tradition
and of Ptolemy. It seems that Jai Singhand of Ptolemy. It seems that Jai Singh
had no knowledge of the works of Keplerhad no knowledge of the works of Kepler
(1571-1630) or Newton (1642-1727).(1571-1630) or Newton (1642-1727).
 Jai Singh want to determine newJai Singh want to determine new
planetary constants but his primaryplanetary constants but his primary
interests in astronomy centered on theinterests in astronomy centered on the
moon. He was more interested inmoon. He was more interested in
observing and mathematically predictingobserving and mathematically predicting
the position of this heavenly body. He wasthe position of this heavenly body. He was
also interested in the prediction of Solaralso interested in the prediction of Solar
eclipses and in calculation of theeclipses and in calculation of the
occultation of stars and planets by theoccultation of stars and planets by the
moon.moon.
Jai Singh constructed 15 different types of
instruments of masonry for his observatories. Out
of these fifteen he himself invented seven
instruments. According to the precession of the
instruments it can be divide in following
categories:
 Low precision Masonary InstrumentsLow precision Masonary Instruments
 Medium precision Masonary InstrumentsMedium precision Masonary Instruments
 High precision Masonary InstrumentsHigh precision Masonary Instruments
Jai Singh Low precision Masonary InstrumentsJai Singh Low precision Masonary Instruments
InstrumentInstrument NumberNumber LocationLocation
DhruvadarsakaDhruvadarsaka 11 JaipurJaipur
NadivalayaNadivalaya 55 Jaipur,Varanasi,Ujjain,Mathura,Jaipur,Varanasi,Ujjain,Mathura,
UjjainUjjain
PalabhaPalabha 22 Jaipur UjjainJaipur Ujjain
AgraAgra 55 Jaipur,Varanasi,Ujjain,Mathura,UjjainJaipur,Varanasi,Ujjain,Mathura,Ujjain
SankuSanku 11 MathuraMathura
Unknown InstrumentUnknown Instrument 11 VaranasiVaranasi
Jai singh Medium precision Masonary InstrumentsJai singh Medium precision Masonary Instruments
InstrumentInstrument NumberNumber LocationLocation
JaiPrakasaJaiPrakasa 22 Delhi, JaipurDelhi, Jaipur
Rama YantraRama Yantra 22 Delhi, JaipurDelhi, Jaipur
Rasi ValayaRasi Valaya 1212 JaipurJaipur
Sara YantraSara Yantra 11 JaipurJaipur
DigamsaDigamsa 33 Varanasi,Ujjain,JaipurVaranasi,Ujjain,Jaipur
KapalaKapala 22 JaipurJaipur
Jai singh High precision Masonary InstrumentsJai singh High precision Masonary Instruments
InstrumentInstrument NumberNumber LocationLocation
SamratSamrat
66 Delhi,Jaipur(2),Ujjain,Varanasi(2)Delhi,Jaipur(2),Ujjain,Varanasi(2)
SasthamsaSasthamsa
55 Delhi, Jaipur(4)Delhi, Jaipur(4)
Daksinottara BhittiDaksinottara Bhitti
66 Jaipur,Varanasi(2),Ujjain,Mathura,Jaipur,Varanasi(2),Ujjain,Mathura,
DelhiDelhi
Instruments added after Jai SinghInstruments added after Jai Singh
InstrumentInstrument NumberNumber LocationLocation
Mishra YantraMishra Yantra 11 DelhiDelhi
Sanku YantraSanku Yantra 11 UjjainUjjain
Horizontal ScaleHorizontal Scale 11 JaipurJaipur
Measurements Related TermsMeasurements Related Terms
Azimuth:Azimuth: AzimuthAzimuth isis
generally defined as agenerally defined as a
horizontal angle measuredhorizontal angle measured
clockwise from any fixedclockwise from any fixed
reference plane.In modernreference plane.In modern
astronomy it is nearlyastronomy it is nearly
always measured clockwisealways measured clockwise
from the north base line orfrom the north base line or
meridian. It measured inmeridian. It measured in
degree and tells about thedegree and tells about the
direction of a celestial bodydirection of a celestial body
from the observer.from the observer.
Measurements Related TermsMeasurements Related Terms
Altitude: As a generalAltitude: As a general
definition, altitude is adefinition, altitude is a
distance measurement,distance measurement,
usually in the vertical orusually in the vertical or
"up" direction, between a"up" direction, between a
reference line and a pointreference line and a point
or object. The referenceor object. The reference
line also often variesline also often varies
according to the context.according to the context.
Measurements Related TermsMeasurements Related Terms
 MeridianMeridian : A: A meridianmeridian (or(or line of longitudeline of longitude) is an) is an
imaginary arc on the Earth's surface from the North Pole toimaginary arc on the Earth's surface from the North Pole to
the South Pole that connects all locations running along itthe South Pole that connects all locations running along it
with a given longitude. The position of a point on thewith a given longitude. The position of a point on the
meridian is given by the latitude .meridian is given by the latitude .
 Zenith Distance:Zenith Distance: In general terms, theIn general terms, the zenithzenith is the directionis the direction
pointing directly "above" a particular location . The conceptpointing directly "above" a particular location . The concept
of "above" is more specifically defined in astronomy,of "above" is more specifically defined in astronomy,
geophysics as the vertical direction opposite to the force ofgeophysics as the vertical direction opposite to the force of
gravity at a given location. The opposite direction, i.e. thegravity at a given location. The opposite direction, i.e. the
direction of the gravitational force is called the nadir. Thedirection of the gravitational force is called the nadir. The
term zenith is also used to represent the highest pointterm zenith is also used to represent the highest point
reached by a celestial body during its apparent orbit aroundreached by a celestial body during its apparent orbit around
a given point of observation.a given point of observation.
Hour AngleHour Angle: In astronomy, the: In astronomy, the hour anglehour angle is one of the coordinatesis one of the coordinates
used in the equatorial coordinate system for describing the position ofused in the equatorial coordinate system for describing the position of
a point on the celestial sphere. The hour angle of a point is the anglea point on the celestial sphere. The hour angle of a point is the angle
between the half plane determined by the Earth axis and the zenithbetween the half plane determined by the Earth axis and the zenith
(half of the meridian plane) and the half plane determined by the(half of the meridian plane) and the half plane determined by the
Earth axis and the given point. The angle is taken with minus sign ifEarth axis and the given point. The angle is taken with minus sign if
the point is eastward of the meridian plane and with the plus sign ifthe point is eastward of the meridian plane and with the plus sign if
the point is westward of the meridian planethe point is westward of the meridian plane
LatitudeLatitude:: LatitudeLatitude, usually denoted by the Greek letter phi (, usually denoted by the Greek letter phi (φφ) gives) gives
the location of a place on Earth (or other planetary body) north orthe location of a place on Earth (or other planetary body) north or
south of the equator. Technically, latitude is an angular measurementsouth of the equator. Technically, latitude is an angular measurement
in degrees (marked with °) ranging from 0° at the equator (lowin degrees (marked with °) ranging from 0° at the equator (low
latitude) to 90° at the poles (90° N or +90° for the North Pole and 90°latitude) to 90° at the poles (90° N or +90° for the North Pole and 90°
S or −90° for the South Pole).S or −90° for the South Pole).
EquinoxEquinox : An: An equinoxequinox occurs twice a year, when the tilt of theoccurs twice a year, when the tilt of the
Earth's axis is inclined neither away from nor towards the Sun,Earth's axis is inclined neither away from nor towards the Sun,
the Sun being vertically above a point on the Equator. The termthe Sun being vertically above a point on the Equator. The term
equinoxequinox can also be used in a broader sense, meaning the datecan also be used in a broader sense, meaning the date
when such a passage happens. The name "equinox" is derivedwhen such a passage happens. The name "equinox" is derived
from the Latinfrom the Latin aequusaequus (equal) and(equal) and noxnox (night), because around(night), because around
the equinox, the night and day are approximately equally long.the equinox, the night and day are approximately equally long.
EclipticEcliptic TheThe eclipticecliptic is the apparent path that the Sun tracesis the apparent path that the Sun traces
out in the sky during the year. As it appears to move in theout in the sky during the year. As it appears to move in the
sky in relation to the stars, the apparent path aligns with thesky in relation to the stars, the apparent path aligns with the
planets throughout the course of the year. More accurately, itplanets throughout the course of the year. More accurately, it
is the intersection of a spherical surface, the celestial sphere,is the intersection of a spherical surface, the celestial sphere,
with thewith the ecliptic planeecliptic plane..
 Equator :Equator : TheThe equatorequator (sometimes referred to colloquially as(sometimes referred to colloquially as
"the Line""the Line") is the intersection of the Earth's surface with the) is the intersection of the Earth's surface with the
plane perpendicular to the Earth's axis of rotation andplane perpendicular to the Earth's axis of rotation and
containing the Earth's center of mass. In simpler language, itcontaining the Earth's center of mass. In simpler language, it
is an imaginary line on the Earth's surface approximatelyis an imaginary line on the Earth's surface approximately
equidistant from the North Pole and South Pole that dividesequidistant from the North Pole and South Pole that divides
the Earth into a Northern Hemisphere and a Southernthe Earth into a Northern Hemisphere and a Southern
Hemisphere.Hemisphere.
 Angle of Declination:Angle of Declination: Angle at a particular point on the Earth'sAngle at a particular point on the Earth's
surface between the direction of the true or geographic Northsurface between the direction of the true or geographic North
Pole and the magnetic north pole. The angle of declinationPole and the magnetic north pole. The angle of declination
has varied over time because of the slow drift in the positionhas varied over time because of the slow drift in the position
of the magnetic north pole.of the magnetic north pole.
JANTAR MANTAR DELHI
Mishra YantraMishra Yantra
Samarat Gnomon
Quadrant
Second
Quadrant
Samarat Gnomon
Niyata Cakra
Mishra YantraMishra Yantra
Mishra Yantra consists of several instruments within the singleMishra Yantra consists of several instruments within the single
structure. The instruments included in the structure are asstructure. The instruments included in the structure are as
followsfollows::
1.Daksinottra Bhitti1.Daksinottra Bhitti : for measuring the zenith distance or: for measuring the zenith distance or
altitude of sun and other planets.altitude of sun and other planets.
2.Karkarasi Valaya::2.Karkarasi Valaya:: Instrument is now in ruins. Application isInstrument is now in ruins. Application is
not known and according to the theory it was used to measurenot known and according to the theory it was used to measure
directly the longitude of celestial body.directly the longitude of celestial body.
3.Samarat Yantra3.Samarat Yantra : for measuring the local time.: for measuring the local time.
4. Niyata Cakras:4. Niyata Cakras: for measuring the declination of an object atfor measuring the declination of an object at
interval of a few hours as the object travels from east to west ininterval of a few hours as the object travels from east to west in
the sky.the sky.
5. Quadrant arc5. Quadrant arc of unknown functionof unknown function
Samarat YantraSamarat Yantra
Samarat YantraSamarat Yantra
 The primary object of Samarat is to indicate the solarThe primary object of Samarat is to indicate the solar
time or local time of a place.time or local time of a place.
 By knowing the time of the meridian transit ofBy knowing the time of the meridian transit of
prominent star and observing the hour angle of theprominent star and observing the hour angle of the
star or its angular distance from meridian time atstar or its angular distance from meridian time at
night may also calculated from this instrument.night may also calculated from this instrument.
 In addition to marking local time the Samarat YantraIn addition to marking local time the Samarat Yantra
was used to determine the sun declination and thewas used to determine the sun declination and the
right ascension of any celestial object.right ascension of any celestial object.
Jai Prakesh YantraJai Prakesh Yantra
Jai Prakash YantraJai Prakash Yantra
 Twin hemispherical bowls of Jai Prakas yantra are each aTwin hemispherical bowls of Jai Prakas yantra are each a
reflection of the sky above. The bowls are marked in sectorsreflection of the sky above. The bowls are marked in sectors
and gaps. Observers move inside the gap regions and makeand gaps. Observers move inside the gap regions and make
observations using the markings on the sectors. Theobservations using the markings on the sectors. The
instruments are complimentary, in the sense that where there isinstruments are complimentary, in the sense that where there is
a gap in one of the bowl, is a sector placed in the other bowla gap in one of the bowl, is a sector placed in the other bowl
and vice versa. Spliced together, they make a whole bowl thatand vice versa. Spliced together, they make a whole bowl that
is a complete reflection of the sky above.is a complete reflection of the sky above.
 Cross wires are stretched in the North-South and East-WestCross wires are stretched in the North-South and East-West
direction on the surface of the instrument bowls. Shadow of thedirection on the surface of the instrument bowls. Shadow of the
centre of this cross wire, on the surface of the bowl, shows thecentre of this cross wire, on the surface of the bowl, shows the
position of the Sun in the sky.position of the Sun in the sky.
 The instrument can measure the local co-ordinates of aThe instrument can measure the local co-ordinates of a
celestial object - the Altitude and Azimuth.celestial object - the Altitude and Azimuth.
Rama YantraRama Yantra
Jantar MantarJantar Mantar
JaipurJaipur
Jaipur, Jantar Mantar was the second and more sophisticatedJaipur, Jantar Mantar was the second and more sophisticated
observatory Jai singh built.The instruments were so big andobservatory Jai singh built.The instruments were so big and
accurate ,as they were built of stone,masonry and marble.accurate ,as they were built of stone,masonry and marble.
There are 18 instruments in the Jaipur observatory. HeThere are 18 instruments in the Jaipur observatory. He
procured latest astronomical books and instruments fromprocured latest astronomical books and instruments from
Europe.Some he had translated in Sanskrit.Some of theseEurope.Some he had translated in Sanskrit.Some of these
translated texts are on display in the City Palace Museum.translated texts are on display in the City Palace Museum.
Samrat YantraSamrat Yantra
By far the biggest yantra in Jantar Mantar. it is a huge SunBy far the biggest yantra in Jantar Mantar. it is a huge Sun
Dial. It is 89 feet high and 148 feet wide. It can measureDial. It is 89 feet high and 148 feet wide. It can measure
local time correctly up to 2 seconds..local time correctly up to 2 seconds..
Chakra YantraChakra Yantra
 The Jaipur observatory has two unit of Cakra Yantra.The Jaipur observatory has two unit of Cakra Yantra.
Instrument is made of heavy molded brass and pivoted toInstrument is made of heavy molded brass and pivoted to
rotate freely about a diameter parallel to the earth axis.rotate freely about a diameter parallel to the earth axis.
Objective of the instrument is to measure the declinationObjective of the instrument is to measure the declination
and hour angle of celestial body.and hour angle of celestial body.
 For measuring the declination and hour angle of an object,For measuring the declination and hour angle of an object,
a sighting tube is mounted at the centre of the instrument.a sighting tube is mounted at the centre of the instrument.
The tube with a pointer attached to it, rotates about aThe tube with a pointer attached to it, rotates about a
perpendicular axis passing through the centre of cakraperpendicular axis passing through the centre of cakra
ring. The observer rotating the cakra about its polar axisring. The observer rotating the cakra about its polar axis
and the tube about the centre obtains the object in sightand the tube about the centre obtains the object in sight
and the hour angle off the plate at the post.and the hour angle off the plate at the post.
Rashivalaya YantraRashivalaya Yantra
The Rasivalaya are a set of 12 instruments based on theThe Rasivalaya are a set of 12 instruments based on the
principle of samarat yantra are designed for directlyprinciple of samarat yantra are designed for directly
measuring the latitude and longitude of a celestial object.measuring the latitude and longitude of a celestial object.
Rasivalaya were also invented by Jai Singh. A particularRasivalaya were also invented by Jai Singh. A particular
Rasivalaya instrument become operative when first pointRasivalaya instrument become operative when first point
of sign of the zodiac it represents approaches theof sign of the zodiac it represents approaches the
meridian.meridian.
At that moment its gnomon point towards the pole ofAt that moment its gnomon point towards the pole of
ecliptic and its guardant become parallel to the ecliptic.ecliptic and its guardant become parallel to the ecliptic.
There are 12 signs of the zodiac, so there are 12There are 12 signs of the zodiac, so there are 12
Rasivalayas representing each sign.Rasivalayas representing each sign.
Narivalaya YantraNarivalaya Yantra
 This is an effective tool for demonstrating theThis is an effective tool for demonstrating the
passage of sun across the celestial equator.passage of sun across the celestial equator.
 On the vernal equinox and the autumnal equinoxOn the vernal equinox and the autumnal equinox
the rays of the sun fall parallel to two opposingthe rays of the sun fall parallel to two opposing
faces of plates and illuminate them both. Otherfaces of plates and illuminate them both. Other
time only one or other face remains in the sun.time only one or other face remains in the sun.
 After the sun has crossed the equator around 21After the sun has crossed the equator around 21
March its illuminate the northern face for sixthMarch its illuminate the northern face for sixth
months. After 21 September it is the southernmonths. After 21 September it is the southern
face that receives the rays of the sun for the nextface that receives the rays of the sun for the next
six months.six months.
 Jai Singh built Nadivalays at each hisJai Singh built Nadivalays at each his
observatory site except Delhi.observatory site except Delhi.
Yantra RajYantra Raj
 Great astrolabe is suspendedGreat astrolabe is suspended
from massive wooden beamfrom massive wooden beam
supported by tall pillars.supported by tall pillars.
 Orientation of the pillars isOrientation of the pillars is
such that the line joining themsuch that the line joining them
makes an angle of about 23makes an angle of about 23
degree with the plane ofdegree with the plane of
meridian.meridian.
 This is the largest instrumentThis is the largest instrument
in the world for its kind.in the world for its kind.
Instrument is built for theInstrument is built for the
latitude of Jaipur as there arelatitude of Jaipur as there are
27 degree making between the27 degree making between the
zenith and the pole.zenith and the pole.
 The main function of theThe main function of the
instrument is to measure time.instrument is to measure time.
Krantiwrita YantraKrantiwrita Yantra
This is the unfinished structure and has twoThis is the unfinished structure and has two
circular plates. Both the plates have a scalecircular plates. Both the plates have a scale
which is divide in degrees.which is divide in degrees.
Unnatasha YantraUnnatasha Yantra
Unnatamsa can measure the Altitude of a celestial object.
The large graduated brass circle hung from the supporting
beam, is the measuring instrument of the Unnatamsa. The brass
circle is pivoted to rotate freely around a vertical axis. The ring has
two cross beams in the vertical and horizontal directions. A
sighting tube is pivoted at the centre of the circle, which can be
moved in the vertical direction, to align towards any celestial
object.
The rim of the brass circle has graduations marked in such a
way that smallest division is a tenth of a degree. The larger
divisions of 1 degree and of 6 degrees are also marked on the
circle. After sighting the celestial object, its Altitude can be read
from the position of the pointer.
Dakshinodak Bhitti YantraDakshinodak Bhitti Yantra
Daksinottara BittiDaksinottara Bitti
Daksinottara Bitti yantra consists of aDaksinottara Bitti yantra consists of a
graduated quadrant or a semicircle inscribedgraduated quadrant or a semicircle inscribed
on a north-south wall. At the centre of the areon a north-south wall. At the centre of the are
is a horizontal rod. The instrument is used foris a horizontal rod. The instrument is used for
measuring the meridian attitude or the zenithmeasuring the meridian attitude or the zenith
distance of an object such as the sun, the moondistance of an object such as the sun, the moon
or a planet.or a planet.
Jai Prakash YantraJai Prakash Yantra
Kapala YantraKapala Yantra
 The Kapala are built as two hemispherical units, eachThe Kapala are built as two hemispherical units, each
hemisphere being a complete reflection of the skyhemisphere being a complete reflection of the sky
overhead.overhead.
 The western Kapala unit is built for observations whileThe western Kapala unit is built for observations while
the eastern segment is meant for theoreticalthe eastern segment is meant for theoretical
conversions of co-ordinates from one system toconversions of co-ordinates from one system to
another. The western Kapala unit is analogous to theanother. The western Kapala unit is analogous to the
Jaiprakas – a hemispherical bowl on which everyJaiprakas – a hemispherical bowl on which every
point is a reflection of a point in the sky.point is a reflection of a point in the sky.
 By looking at the shadow of a cross wire stretchedBy looking at the shadow of a cross wire stretched
over its surface, the co-ordinates of the Sun in theover its surface, the co-ordinates of the Sun in the
sky, can be determined with the western Kapalasky, can be determined with the western Kapala..
The yantra hare a diameter of 3.46 m each and are so named
because by there resemblance to the brain cover of human skill.
Jai Praksa and the Kapala are both multipurpose instruments
consisting of hemispherical surface of concave shape and
inscribed width of number of arcs.
These arcs indicate the local time and they measure
astronomical parameter,such as co-ordinates of celestial body.
One difference between the two instruments is that Kapala
indicates the a ppp while Jay Praksa observe the sign of meridian.
Another is that Jay Praksa built in two complementary halves,
Ram YantraRam Yantra
 The Rama yantra, probably named after Rama SinghThe Rama yantra, probably named after Rama Singh
The grandfather of Jai Singh.The grandfather of Jai Singh.
 This yantra is used to measure the azimuth and altitudeThis yantra is used to measure the azimuth and altitude
of a celestial object, for example sun.of a celestial object, for example sun.
 Cylindrical structure of Rama Yantra is open at the topCylindrical structure of Rama Yantra is open at the top
and its height equals its radius.and its height equals its radius.
 For measuring the azimuth, circular scales with theirFor measuring the azimuth, circular scales with their
centre at the axis of cylindrical walls. The scales arecentre at the axis of cylindrical walls. The scales are
divided into degree and minutes.divided into degree and minutes.
 In day time the coordinates of a sun are determined byIn day time the coordinates of a sun are determined by
observing the shadow of the pillar top end on the scales.observing the shadow of the pillar top end on the scales.
 The coordinates of the moon when it is bright enough toThe coordinates of the moon when it is bright enough to
cast a shadow, may also be read in a similar manner.cast a shadow, may also be read in a similar manner.
JANTAR MANTAR UJJAINJANTAR MANTAR UJJAIN
Daksinottara BittiDaksinottara Bitti
Daksinottara BittiDaksinottara Bitti
Daksinottara Bitti yantra consists of aDaksinottara Bitti yantra consists of a
graduated quadrant or a semicircle inscribedgraduated quadrant or a semicircle inscribed
on a north-south wall. At the centre of the areon a north-south wall. At the centre of the are
is a horizontal rod. The instrument is used foris a horizontal rod. The instrument is used for
measuring the meridian attitude or the zenithmeasuring the meridian attitude or the zenith
distance of an object such as the sun, the moondistance of an object such as the sun, the moon
or a planet.or a planet.
Samarat YantraSamarat Yantra
SANKU
DIGAMASA
Digmasa YantraDigmasa Yantra
 This consists of two cylindrical wall surrounding a centreThis consists of two cylindrical wall surrounding a centre
pillar measure the angle of azimuth of a celestial body.pillar measure the angle of azimuth of a celestial body.
 Its centre pillar as well as its wall are engraved in degrees andIts centre pillar as well as its wall are engraved in degrees and
numbers at their top level.numbers at their top level.
 Cross wires are stretched between the coordinal points markedCross wires are stretched between the coordinal points marked
over the outer wall. The observer uses one or more stringsover the outer wall. The observer uses one or more strings
with one end tied to a knob on the pillar and other end to stonewith one end tied to a knob on the pillar and other end to stone
pebbles suspended over the walls, with these strings thepebbles suspended over the walls, with these strings the
observer defines a vertical plane contain the cross wire and theobserver defines a vertical plane contain the cross wire and the
object in the sky. The angular distance of the vertical planeobject in the sky. The angular distance of the vertical plane
from the north point, read on the scales indicate the azimuth offrom the north point, read on the scales indicate the azimuth of
body.body.
Jantar Mantar at VaranasiJantar Mantar at Varanasi
Some Glimpses of Jantar Mantar Varanasi
Some Glimpses of Jantar Mantar Varanasi
Jantar Mantar at VaranasiJantar Mantar at Varanasi
Observatory at Vanarasi has following Instruments:Observatory at Vanarasi has following Instruments:
 Samarat YantraSamarat Yantra
 DigamsaDigamsa
 NadivalayaNadivalaya
 Cakra YantraCakra Yantra
 Daksinottara BhittiDaksinottara Bhitti
 Unidentified structureUnidentified structure
SMRAT YANTRA -------->
<------ DIGAMSA YANTRA
<----- Nadivalaya Yantra
Samarat Yantra ---------->
Jantar Mantar MathuraJantar Mantar Mathura
The Observatory was built within the local fort on the banks of the
river Yamuna
 It is believed that the observatory at MathuraIt is believed that the observatory at Mathura
disappeared about 1850 a few years before thedisappeared about 1850 a few years before the
unsuccessful uprising of 1857 against theunsuccessful uprising of 1857 against the
British.British.
 At Mathura there were following instruments:At Mathura there were following instruments:
• NadivalayaNadivalaya
• Agra YantraAgra Yantra
• SankuSanku
• Daksinottara BittiDaksinottara Bitti
In spite of his best efforts for the revival ofIn spite of his best efforts for the revival of
astronomical studies in India, Jaya Singhastronomical studies in India, Jaya Singh
remained firmly attached to the medievalremained firmly attached to the medieval
tradition. He died in 1743 A.D., exactlytradition. He died in 1743 A.D., exactly
two hundred years after Copernicustwo hundred years after Copernicus
(1473-1543). Today Jaya Singh's work is(1473-1543). Today Jaya Singh's work is
only a tradition and his observatories areonly a tradition and his observatories are
nothing but archaeological remains.nothing but archaeological remains.
THANKSTHANKS
Prepared By:Prepared By:
Sandipan DharSandipan Dhar

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Jantar Mantar

  • 1. JANTAR MANTARJANTAR MANTAR Stone Astronomical ObservatoryStone Astronomical Observatory
  • 2. Ancient India made some bigAncient India made some big advances in science becauseadvances in science because it was in constant contact withit was in constant contact with other countries. After theother countries. After the conquest of the Indus basin byconquest of the Indus basin by Darius around 520 B.C. IndiaDarius around 520 B.C. India was thrown wide open towas thrown wide open to Babylonian influences.Babylonian influences. Through the Persians, IndiaThrough the Persians, India also came into contact withalso came into contact with Greece. All these contactsGreece. All these contacts greatly helped India ingreatly helped India in enriching her sciences,enriching her sciences, particularly astronomy.particularly astronomy. Darius
  • 3. There is ample evidence to show thatThere is ample evidence to show that Aryabhata (499 A.D.) and Varahamihira (6thAryabhata (499 A.D.) and Varahamihira (6th century A.D.) were well-acquainted withcentury A.D.) were well-acquainted with Greek astronomy.Greek astronomy. The most celebrated astronomers afterThe most celebrated astronomers after Varahamihira were Brahmagupta (b.598Varahamihira were Brahmagupta (b.598 A.D.), Lalla (8th cent.), Manjula or MunjalaA.D.), Lalla (8th cent.), Manjula or Munjala (10th cent.), Shripati (c.1039 A.D.) and(10th cent.), Shripati (c.1039 A.D.) and Bhaskaracharya (b.1114 A.D.).Bhaskaracharya (b.1114 A.D.). In the post-Bhaskara period not muchIn the post-Bhaskara period not much original work in astronomy and mathematicsoriginal work in astronomy and mathematics was done in India till modern times.was done in India till modern times. AryabhataAryabhata VarahamihiraVarahamihira BhaskaracharyaBhaskaracharya
  • 4. The Islamic world produced greatThe Islamic world produced great mathematician-astronomers:mathematician-astronomers:  Al-Khwarismi (780-850 A.D.)Al-Khwarismi (780-850 A.D.)  Al-Battani (850-929 A.D.)Al-Battani (850-929 A.D.)  Tabit ibn Qurra (836-901 A.D.)Tabit ibn Qurra (836-901 A.D.)  Al-Sufi ( 10th cent.)Al-Sufi ( 10th cent.)  Al-Biruni (973-1848 A.D.)Al-Biruni (973-1848 A.D.)  Omar Khayyam (1048-1124 A.D.)Omar Khayyam (1048-1124 A.D.)  Nasir al-din at-Tusi (1201-1274 A.D.).Nasir al-din at-Tusi (1201-1274 A.D.). The last one was in- charge of theThe last one was in- charge of the observatory at Maragha in Iran.observatory at Maragha in Iran. In 1420 A.D., Ulugh Begh, grandson ofIn 1420 A.D., Ulugh Begh, grandson of Timur, built an observatory at Samarkand.Timur, built an observatory at Samarkand. Using very big but high-precisionUsing very big but high-precision instruments he prepared a Star catalogueinstruments he prepared a Star catalogue which was much better than that ofwhich was much better than that of Ptolemy.Ptolemy. Samarkand Maragha
  • 5.  After a long time Sawai Jai Singh II was theAfter a long time Sawai Jai Singh II was the man from India who showed the greatestman from India who showed the greatest interest in Arabic/Persian astronomy.interest in Arabic/Persian astronomy.  He was born in the ruling family of AmberHe was born in the ruling family of Amber in Rajasthan in 1686 A.D., one year afterin Rajasthan in 1686 A.D., one year after Newton published his book Principia. HeNewton published his book Principia. He succeeded to the Amber throne at the agesucceeded to the Amber throne at the age of thirteen.of thirteen.  Later on he was appointed by MohammadLater on he was appointed by Mohammad Shah governor of the province of Agra andShah governor of the province of Agra and then also of Malwa. From an early age Jaithen also of Malwa. From an early age Jai Singh was very much interested inSingh was very much interested in astronomical observations and hadastronomical observations and had acquired thorough knowledge of itsacquired thorough knowledge of its principles and rules.principles and rules.
  • 6.  Jai Singh felt a great urge in reviving theJai Singh felt a great urge in reviving the study of astronomy in India. With the aim ofstudy of astronomy in India. With the aim of preparingpreparing new tables, Jai Singh at firstnew tables, Jai Singh at first started with the traditional brassstarted with the traditional brass instruments. Realising their inadequacy, heinstruments. Realising their inadequacy, he discarded them in favour of stone anddiscarded them in favour of stone and masonry instruments of huge size.masonry instruments of huge size.  For observing the heavens Jai Singh builtFor observing the heavens Jai Singh built observatories at five places :observatories at five places : Delhi,Delhi, Jaipur, Mathura, Ujjain andJaipur, Mathura, Ujjain and Varanasi.Varanasi. The first one was built in DelhiThe first one was built in Delhi in year around 1724. These observatories,in year around 1724. These observatories, which in course of time came to be calledwhich in course of time came to be called 'Jantar Mantar', housed a wide variety of'Jantar Mantar', housed a wide variety of masonry and metal instruments.masonry and metal instruments.
  • 7.  Jai Singh, making use of the masonry and metalJai Singh, making use of the masonry and metal instruments of his observatories, prepared theinstruments of his observatories, prepared the astronomical treatise Zij-I -Muhammad Shah andastronomical treatise Zij-I -Muhammad Shah and dedicated it to the reigning monarch Muhammad Shah.dedicated it to the reigning monarch Muhammad Shah. The work was completed around 1727-28 A.D.The work was completed around 1727-28 A.D.  Jai Singh's court astronomer Pt.Jagannatha, who hadJai Singh's court astronomer Pt.Jagannatha, who had mastered in Arabic and Persian, translated from Arabicmastered in Arabic and Persian, translated from Arabic into Sanskrit works titled Rekhaganita and Siddhanta-into Sanskrit works titled Rekhaganita and Siddhanta- Samrata. The translation of the former was completed inSamrata. The translation of the former was completed in 1718 A.D. and of the latter in 1731 A.D.1718 A.D. and of the latter in 1731 A.D.
  • 8.  Jai Singh had established contacts withJai Singh had established contacts with Jesuit missionaries in India and had alsoJesuit missionaries in India and had also known the telescope. But he did not makeknown the telescope. But he did not make use of the Copernican revolution ushereduse of the Copernican revolution ushered in Europe. He remained a firm follower ofin Europe. He remained a firm follower of the geocentric system of Indian traditionthe geocentric system of Indian tradition and of Ptolemy. It seems that Jai Singhand of Ptolemy. It seems that Jai Singh had no knowledge of the works of Keplerhad no knowledge of the works of Kepler (1571-1630) or Newton (1642-1727).(1571-1630) or Newton (1642-1727).  Jai Singh want to determine newJai Singh want to determine new planetary constants but his primaryplanetary constants but his primary interests in astronomy centered on theinterests in astronomy centered on the moon. He was more interested inmoon. He was more interested in observing and mathematically predictingobserving and mathematically predicting the position of this heavenly body. He wasthe position of this heavenly body. He was also interested in the prediction of Solaralso interested in the prediction of Solar eclipses and in calculation of theeclipses and in calculation of the occultation of stars and planets by theoccultation of stars and planets by the moon.moon.
  • 9. Jai Singh constructed 15 different types of instruments of masonry for his observatories. Out of these fifteen he himself invented seven instruments. According to the precession of the instruments it can be divide in following categories:  Low precision Masonary InstrumentsLow precision Masonary Instruments  Medium precision Masonary InstrumentsMedium precision Masonary Instruments  High precision Masonary InstrumentsHigh precision Masonary Instruments
  • 10. Jai Singh Low precision Masonary InstrumentsJai Singh Low precision Masonary Instruments InstrumentInstrument NumberNumber LocationLocation DhruvadarsakaDhruvadarsaka 11 JaipurJaipur NadivalayaNadivalaya 55 Jaipur,Varanasi,Ujjain,Mathura,Jaipur,Varanasi,Ujjain,Mathura, UjjainUjjain PalabhaPalabha 22 Jaipur UjjainJaipur Ujjain AgraAgra 55 Jaipur,Varanasi,Ujjain,Mathura,UjjainJaipur,Varanasi,Ujjain,Mathura,Ujjain SankuSanku 11 MathuraMathura Unknown InstrumentUnknown Instrument 11 VaranasiVaranasi
  • 11. Jai singh Medium precision Masonary InstrumentsJai singh Medium precision Masonary Instruments InstrumentInstrument NumberNumber LocationLocation JaiPrakasaJaiPrakasa 22 Delhi, JaipurDelhi, Jaipur Rama YantraRama Yantra 22 Delhi, JaipurDelhi, Jaipur Rasi ValayaRasi Valaya 1212 JaipurJaipur Sara YantraSara Yantra 11 JaipurJaipur DigamsaDigamsa 33 Varanasi,Ujjain,JaipurVaranasi,Ujjain,Jaipur KapalaKapala 22 JaipurJaipur
  • 12. Jai singh High precision Masonary InstrumentsJai singh High precision Masonary Instruments InstrumentInstrument NumberNumber LocationLocation SamratSamrat 66 Delhi,Jaipur(2),Ujjain,Varanasi(2)Delhi,Jaipur(2),Ujjain,Varanasi(2) SasthamsaSasthamsa 55 Delhi, Jaipur(4)Delhi, Jaipur(4) Daksinottara BhittiDaksinottara Bhitti 66 Jaipur,Varanasi(2),Ujjain,Mathura,Jaipur,Varanasi(2),Ujjain,Mathura, DelhiDelhi
  • 13. Instruments added after Jai SinghInstruments added after Jai Singh InstrumentInstrument NumberNumber LocationLocation Mishra YantraMishra Yantra 11 DelhiDelhi Sanku YantraSanku Yantra 11 UjjainUjjain Horizontal ScaleHorizontal Scale 11 JaipurJaipur
  • 14. Measurements Related TermsMeasurements Related Terms Azimuth:Azimuth: AzimuthAzimuth isis generally defined as agenerally defined as a horizontal angle measuredhorizontal angle measured clockwise from any fixedclockwise from any fixed reference plane.In modernreference plane.In modern astronomy it is nearlyastronomy it is nearly always measured clockwisealways measured clockwise from the north base line orfrom the north base line or meridian. It measured inmeridian. It measured in degree and tells about thedegree and tells about the direction of a celestial bodydirection of a celestial body from the observer.from the observer.
  • 15. Measurements Related TermsMeasurements Related Terms Altitude: As a generalAltitude: As a general definition, altitude is adefinition, altitude is a distance measurement,distance measurement, usually in the vertical orusually in the vertical or "up" direction, between a"up" direction, between a reference line and a pointreference line and a point or object. The referenceor object. The reference line also often variesline also often varies according to the context.according to the context.
  • 16. Measurements Related TermsMeasurements Related Terms  MeridianMeridian : A: A meridianmeridian (or(or line of longitudeline of longitude) is an) is an imaginary arc on the Earth's surface from the North Pole toimaginary arc on the Earth's surface from the North Pole to the South Pole that connects all locations running along itthe South Pole that connects all locations running along it with a given longitude. The position of a point on thewith a given longitude. The position of a point on the meridian is given by the latitude .meridian is given by the latitude .  Zenith Distance:Zenith Distance: In general terms, theIn general terms, the zenithzenith is the directionis the direction pointing directly "above" a particular location . The conceptpointing directly "above" a particular location . The concept of "above" is more specifically defined in astronomy,of "above" is more specifically defined in astronomy, geophysics as the vertical direction opposite to the force ofgeophysics as the vertical direction opposite to the force of gravity at a given location. The opposite direction, i.e. thegravity at a given location. The opposite direction, i.e. the direction of the gravitational force is called the nadir. Thedirection of the gravitational force is called the nadir. The term zenith is also used to represent the highest pointterm zenith is also used to represent the highest point reached by a celestial body during its apparent orbit aroundreached by a celestial body during its apparent orbit around a given point of observation.a given point of observation.
  • 17. Hour AngleHour Angle: In astronomy, the: In astronomy, the hour anglehour angle is one of the coordinatesis one of the coordinates used in the equatorial coordinate system for describing the position ofused in the equatorial coordinate system for describing the position of a point on the celestial sphere. The hour angle of a point is the anglea point on the celestial sphere. The hour angle of a point is the angle between the half plane determined by the Earth axis and the zenithbetween the half plane determined by the Earth axis and the zenith (half of the meridian plane) and the half plane determined by the(half of the meridian plane) and the half plane determined by the Earth axis and the given point. The angle is taken with minus sign ifEarth axis and the given point. The angle is taken with minus sign if the point is eastward of the meridian plane and with the plus sign ifthe point is eastward of the meridian plane and with the plus sign if the point is westward of the meridian planethe point is westward of the meridian plane LatitudeLatitude:: LatitudeLatitude, usually denoted by the Greek letter phi (, usually denoted by the Greek letter phi (φφ) gives) gives the location of a place on Earth (or other planetary body) north orthe location of a place on Earth (or other planetary body) north or south of the equator. Technically, latitude is an angular measurementsouth of the equator. Technically, latitude is an angular measurement in degrees (marked with °) ranging from 0° at the equator (lowin degrees (marked with °) ranging from 0° at the equator (low latitude) to 90° at the poles (90° N or +90° for the North Pole and 90°latitude) to 90° at the poles (90° N or +90° for the North Pole and 90° S or −90° for the South Pole).S or −90° for the South Pole).
  • 18. EquinoxEquinox : An: An equinoxequinox occurs twice a year, when the tilt of theoccurs twice a year, when the tilt of the Earth's axis is inclined neither away from nor towards the Sun,Earth's axis is inclined neither away from nor towards the Sun, the Sun being vertically above a point on the Equator. The termthe Sun being vertically above a point on the Equator. The term equinoxequinox can also be used in a broader sense, meaning the datecan also be used in a broader sense, meaning the date when such a passage happens. The name "equinox" is derivedwhen such a passage happens. The name "equinox" is derived from the Latinfrom the Latin aequusaequus (equal) and(equal) and noxnox (night), because around(night), because around the equinox, the night and day are approximately equally long.the equinox, the night and day are approximately equally long. EclipticEcliptic TheThe eclipticecliptic is the apparent path that the Sun tracesis the apparent path that the Sun traces out in the sky during the year. As it appears to move in theout in the sky during the year. As it appears to move in the sky in relation to the stars, the apparent path aligns with thesky in relation to the stars, the apparent path aligns with the planets throughout the course of the year. More accurately, itplanets throughout the course of the year. More accurately, it is the intersection of a spherical surface, the celestial sphere,is the intersection of a spherical surface, the celestial sphere, with thewith the ecliptic planeecliptic plane..
  • 19.  Equator :Equator : TheThe equatorequator (sometimes referred to colloquially as(sometimes referred to colloquially as "the Line""the Line") is the intersection of the Earth's surface with the) is the intersection of the Earth's surface with the plane perpendicular to the Earth's axis of rotation andplane perpendicular to the Earth's axis of rotation and containing the Earth's center of mass. In simpler language, itcontaining the Earth's center of mass. In simpler language, it is an imaginary line on the Earth's surface approximatelyis an imaginary line on the Earth's surface approximately equidistant from the North Pole and South Pole that dividesequidistant from the North Pole and South Pole that divides the Earth into a Northern Hemisphere and a Southernthe Earth into a Northern Hemisphere and a Southern Hemisphere.Hemisphere.  Angle of Declination:Angle of Declination: Angle at a particular point on the Earth'sAngle at a particular point on the Earth's surface between the direction of the true or geographic Northsurface between the direction of the true or geographic North Pole and the magnetic north pole. The angle of declinationPole and the magnetic north pole. The angle of declination has varied over time because of the slow drift in the positionhas varied over time because of the slow drift in the position of the magnetic north pole.of the magnetic north pole.
  • 21. Mishra YantraMishra Yantra Samarat Gnomon Quadrant Second Quadrant Samarat Gnomon Niyata Cakra
  • 22. Mishra YantraMishra Yantra Mishra Yantra consists of several instruments within the singleMishra Yantra consists of several instruments within the single structure. The instruments included in the structure are asstructure. The instruments included in the structure are as followsfollows:: 1.Daksinottra Bhitti1.Daksinottra Bhitti : for measuring the zenith distance or: for measuring the zenith distance or altitude of sun and other planets.altitude of sun and other planets. 2.Karkarasi Valaya::2.Karkarasi Valaya:: Instrument is now in ruins. Application isInstrument is now in ruins. Application is not known and according to the theory it was used to measurenot known and according to the theory it was used to measure directly the longitude of celestial body.directly the longitude of celestial body. 3.Samarat Yantra3.Samarat Yantra : for measuring the local time.: for measuring the local time. 4. Niyata Cakras:4. Niyata Cakras: for measuring the declination of an object atfor measuring the declination of an object at interval of a few hours as the object travels from east to west ininterval of a few hours as the object travels from east to west in the sky.the sky. 5. Quadrant arc5. Quadrant arc of unknown functionof unknown function
  • 24. Samarat YantraSamarat Yantra  The primary object of Samarat is to indicate the solarThe primary object of Samarat is to indicate the solar time or local time of a place.time or local time of a place.  By knowing the time of the meridian transit ofBy knowing the time of the meridian transit of prominent star and observing the hour angle of theprominent star and observing the hour angle of the star or its angular distance from meridian time atstar or its angular distance from meridian time at night may also calculated from this instrument.night may also calculated from this instrument.  In addition to marking local time the Samarat YantraIn addition to marking local time the Samarat Yantra was used to determine the sun declination and thewas used to determine the sun declination and the right ascension of any celestial object.right ascension of any celestial object.
  • 25. Jai Prakesh YantraJai Prakesh Yantra
  • 26. Jai Prakash YantraJai Prakash Yantra  Twin hemispherical bowls of Jai Prakas yantra are each aTwin hemispherical bowls of Jai Prakas yantra are each a reflection of the sky above. The bowls are marked in sectorsreflection of the sky above. The bowls are marked in sectors and gaps. Observers move inside the gap regions and makeand gaps. Observers move inside the gap regions and make observations using the markings on the sectors. Theobservations using the markings on the sectors. The instruments are complimentary, in the sense that where there isinstruments are complimentary, in the sense that where there is a gap in one of the bowl, is a sector placed in the other bowla gap in one of the bowl, is a sector placed in the other bowl and vice versa. Spliced together, they make a whole bowl thatand vice versa. Spliced together, they make a whole bowl that is a complete reflection of the sky above.is a complete reflection of the sky above.  Cross wires are stretched in the North-South and East-WestCross wires are stretched in the North-South and East-West direction on the surface of the instrument bowls. Shadow of thedirection on the surface of the instrument bowls. Shadow of the centre of this cross wire, on the surface of the bowl, shows thecentre of this cross wire, on the surface of the bowl, shows the position of the Sun in the sky.position of the Sun in the sky.  The instrument can measure the local co-ordinates of aThe instrument can measure the local co-ordinates of a celestial object - the Altitude and Azimuth.celestial object - the Altitude and Azimuth.
  • 29. Jaipur, Jantar Mantar was the second and more sophisticatedJaipur, Jantar Mantar was the second and more sophisticated observatory Jai singh built.The instruments were so big andobservatory Jai singh built.The instruments were so big and accurate ,as they were built of stone,masonry and marble.accurate ,as they were built of stone,masonry and marble. There are 18 instruments in the Jaipur observatory. HeThere are 18 instruments in the Jaipur observatory. He procured latest astronomical books and instruments fromprocured latest astronomical books and instruments from Europe.Some he had translated in Sanskrit.Some of theseEurope.Some he had translated in Sanskrit.Some of these translated texts are on display in the City Palace Museum.translated texts are on display in the City Palace Museum.
  • 30. Samrat YantraSamrat Yantra By far the biggest yantra in Jantar Mantar. it is a huge SunBy far the biggest yantra in Jantar Mantar. it is a huge Sun Dial. It is 89 feet high and 148 feet wide. It can measureDial. It is 89 feet high and 148 feet wide. It can measure local time correctly up to 2 seconds..local time correctly up to 2 seconds..
  • 32.  The Jaipur observatory has two unit of Cakra Yantra.The Jaipur observatory has two unit of Cakra Yantra. Instrument is made of heavy molded brass and pivoted toInstrument is made of heavy molded brass and pivoted to rotate freely about a diameter parallel to the earth axis.rotate freely about a diameter parallel to the earth axis. Objective of the instrument is to measure the declinationObjective of the instrument is to measure the declination and hour angle of celestial body.and hour angle of celestial body.  For measuring the declination and hour angle of an object,For measuring the declination and hour angle of an object, a sighting tube is mounted at the centre of the instrument.a sighting tube is mounted at the centre of the instrument. The tube with a pointer attached to it, rotates about aThe tube with a pointer attached to it, rotates about a perpendicular axis passing through the centre of cakraperpendicular axis passing through the centre of cakra ring. The observer rotating the cakra about its polar axisring. The observer rotating the cakra about its polar axis and the tube about the centre obtains the object in sightand the tube about the centre obtains the object in sight and the hour angle off the plate at the post.and the hour angle off the plate at the post.
  • 34. The Rasivalaya are a set of 12 instruments based on theThe Rasivalaya are a set of 12 instruments based on the principle of samarat yantra are designed for directlyprinciple of samarat yantra are designed for directly measuring the latitude and longitude of a celestial object.measuring the latitude and longitude of a celestial object. Rasivalaya were also invented by Jai Singh. A particularRasivalaya were also invented by Jai Singh. A particular Rasivalaya instrument become operative when first pointRasivalaya instrument become operative when first point of sign of the zodiac it represents approaches theof sign of the zodiac it represents approaches the meridian.meridian. At that moment its gnomon point towards the pole ofAt that moment its gnomon point towards the pole of ecliptic and its guardant become parallel to the ecliptic.ecliptic and its guardant become parallel to the ecliptic. There are 12 signs of the zodiac, so there are 12There are 12 signs of the zodiac, so there are 12 Rasivalayas representing each sign.Rasivalayas representing each sign.
  • 36.  This is an effective tool for demonstrating theThis is an effective tool for demonstrating the passage of sun across the celestial equator.passage of sun across the celestial equator.  On the vernal equinox and the autumnal equinoxOn the vernal equinox and the autumnal equinox the rays of the sun fall parallel to two opposingthe rays of the sun fall parallel to two opposing faces of plates and illuminate them both. Otherfaces of plates and illuminate them both. Other time only one or other face remains in the sun.time only one or other face remains in the sun.  After the sun has crossed the equator around 21After the sun has crossed the equator around 21 March its illuminate the northern face for sixthMarch its illuminate the northern face for sixth months. After 21 September it is the southernmonths. After 21 September it is the southern face that receives the rays of the sun for the nextface that receives the rays of the sun for the next six months.six months.  Jai Singh built Nadivalays at each hisJai Singh built Nadivalays at each his observatory site except Delhi.observatory site except Delhi.
  • 37. Yantra RajYantra Raj  Great astrolabe is suspendedGreat astrolabe is suspended from massive wooden beamfrom massive wooden beam supported by tall pillars.supported by tall pillars.  Orientation of the pillars isOrientation of the pillars is such that the line joining themsuch that the line joining them makes an angle of about 23makes an angle of about 23 degree with the plane ofdegree with the plane of meridian.meridian.  This is the largest instrumentThis is the largest instrument in the world for its kind.in the world for its kind. Instrument is built for theInstrument is built for the latitude of Jaipur as there arelatitude of Jaipur as there are 27 degree making between the27 degree making between the zenith and the pole.zenith and the pole.  The main function of theThe main function of the instrument is to measure time.instrument is to measure time.
  • 38. Krantiwrita YantraKrantiwrita Yantra This is the unfinished structure and has twoThis is the unfinished structure and has two circular plates. Both the plates have a scalecircular plates. Both the plates have a scale which is divide in degrees.which is divide in degrees.
  • 40. Unnatamsa can measure the Altitude of a celestial object. The large graduated brass circle hung from the supporting beam, is the measuring instrument of the Unnatamsa. The brass circle is pivoted to rotate freely around a vertical axis. The ring has two cross beams in the vertical and horizontal directions. A sighting tube is pivoted at the centre of the circle, which can be moved in the vertical direction, to align towards any celestial object. The rim of the brass circle has graduations marked in such a way that smallest division is a tenth of a degree. The larger divisions of 1 degree and of 6 degrees are also marked on the circle. After sighting the celestial object, its Altitude can be read from the position of the pointer.
  • 42. Daksinottara BittiDaksinottara Bitti Daksinottara Bitti yantra consists of aDaksinottara Bitti yantra consists of a graduated quadrant or a semicircle inscribedgraduated quadrant or a semicircle inscribed on a north-south wall. At the centre of the areon a north-south wall. At the centre of the are is a horizontal rod. The instrument is used foris a horizontal rod. The instrument is used for measuring the meridian attitude or the zenithmeasuring the meridian attitude or the zenith distance of an object such as the sun, the moondistance of an object such as the sun, the moon or a planet.or a planet.
  • 43. Jai Prakash YantraJai Prakash Yantra
  • 45.  The Kapala are built as two hemispherical units, eachThe Kapala are built as two hemispherical units, each hemisphere being a complete reflection of the skyhemisphere being a complete reflection of the sky overhead.overhead.  The western Kapala unit is built for observations whileThe western Kapala unit is built for observations while the eastern segment is meant for theoreticalthe eastern segment is meant for theoretical conversions of co-ordinates from one system toconversions of co-ordinates from one system to another. The western Kapala unit is analogous to theanother. The western Kapala unit is analogous to the Jaiprakas – a hemispherical bowl on which everyJaiprakas – a hemispherical bowl on which every point is a reflection of a point in the sky.point is a reflection of a point in the sky.  By looking at the shadow of a cross wire stretchedBy looking at the shadow of a cross wire stretched over its surface, the co-ordinates of the Sun in theover its surface, the co-ordinates of the Sun in the sky, can be determined with the western Kapalasky, can be determined with the western Kapala..
  • 46. The yantra hare a diameter of 3.46 m each and are so named because by there resemblance to the brain cover of human skill. Jai Praksa and the Kapala are both multipurpose instruments consisting of hemispherical surface of concave shape and inscribed width of number of arcs. These arcs indicate the local time and they measure astronomical parameter,such as co-ordinates of celestial body. One difference between the two instruments is that Kapala indicates the a ppp while Jay Praksa observe the sign of meridian. Another is that Jay Praksa built in two complementary halves,
  • 48.  The Rama yantra, probably named after Rama SinghThe Rama yantra, probably named after Rama Singh The grandfather of Jai Singh.The grandfather of Jai Singh.  This yantra is used to measure the azimuth and altitudeThis yantra is used to measure the azimuth and altitude of a celestial object, for example sun.of a celestial object, for example sun.  Cylindrical structure of Rama Yantra is open at the topCylindrical structure of Rama Yantra is open at the top and its height equals its radius.and its height equals its radius.  For measuring the azimuth, circular scales with theirFor measuring the azimuth, circular scales with their centre at the axis of cylindrical walls. The scales arecentre at the axis of cylindrical walls. The scales are divided into degree and minutes.divided into degree and minutes.  In day time the coordinates of a sun are determined byIn day time the coordinates of a sun are determined by observing the shadow of the pillar top end on the scales.observing the shadow of the pillar top end on the scales.  The coordinates of the moon when it is bright enough toThe coordinates of the moon when it is bright enough to cast a shadow, may also be read in a similar manner.cast a shadow, may also be read in a similar manner.
  • 49. JANTAR MANTAR UJJAINJANTAR MANTAR UJJAIN
  • 51. Daksinottara BittiDaksinottara Bitti Daksinottara Bitti yantra consists of aDaksinottara Bitti yantra consists of a graduated quadrant or a semicircle inscribedgraduated quadrant or a semicircle inscribed on a north-south wall. At the centre of the areon a north-south wall. At the centre of the are is a horizontal rod. The instrument is used foris a horizontal rod. The instrument is used for measuring the meridian attitude or the zenithmeasuring the meridian attitude or the zenith distance of an object such as the sun, the moondistance of an object such as the sun, the moon or a planet.or a planet.
  • 54. Digmasa YantraDigmasa Yantra  This consists of two cylindrical wall surrounding a centreThis consists of two cylindrical wall surrounding a centre pillar measure the angle of azimuth of a celestial body.pillar measure the angle of azimuth of a celestial body.  Its centre pillar as well as its wall are engraved in degrees andIts centre pillar as well as its wall are engraved in degrees and numbers at their top level.numbers at their top level.  Cross wires are stretched between the coordinal points markedCross wires are stretched between the coordinal points marked over the outer wall. The observer uses one or more stringsover the outer wall. The observer uses one or more strings with one end tied to a knob on the pillar and other end to stonewith one end tied to a knob on the pillar and other end to stone pebbles suspended over the walls, with these strings thepebbles suspended over the walls, with these strings the observer defines a vertical plane contain the cross wire and theobserver defines a vertical plane contain the cross wire and the object in the sky. The angular distance of the vertical planeobject in the sky. The angular distance of the vertical plane from the north point, read on the scales indicate the azimuth offrom the north point, read on the scales indicate the azimuth of body.body.
  • 55. Jantar Mantar at VaranasiJantar Mantar at Varanasi
  • 56. Some Glimpses of Jantar Mantar Varanasi
  • 57. Some Glimpses of Jantar Mantar Varanasi
  • 58. Jantar Mantar at VaranasiJantar Mantar at Varanasi Observatory at Vanarasi has following Instruments:Observatory at Vanarasi has following Instruments:  Samarat YantraSamarat Yantra  DigamsaDigamsa  NadivalayaNadivalaya  Cakra YantraCakra Yantra  Daksinottara BhittiDaksinottara Bhitti  Unidentified structureUnidentified structure
  • 60. <----- Nadivalaya Yantra Samarat Yantra ---------->
  • 61. Jantar Mantar MathuraJantar Mantar Mathura The Observatory was built within the local fort on the banks of the river Yamuna
  • 62.  It is believed that the observatory at MathuraIt is believed that the observatory at Mathura disappeared about 1850 a few years before thedisappeared about 1850 a few years before the unsuccessful uprising of 1857 against theunsuccessful uprising of 1857 against the British.British.  At Mathura there were following instruments:At Mathura there were following instruments: • NadivalayaNadivalaya • Agra YantraAgra Yantra • SankuSanku • Daksinottara BittiDaksinottara Bitti
  • 63. In spite of his best efforts for the revival ofIn spite of his best efforts for the revival of astronomical studies in India, Jaya Singhastronomical studies in India, Jaya Singh remained firmly attached to the medievalremained firmly attached to the medieval tradition. He died in 1743 A.D., exactlytradition. He died in 1743 A.D., exactly two hundred years after Copernicustwo hundred years after Copernicus (1473-1543). Today Jaya Singh's work is(1473-1543). Today Jaya Singh's work is only a tradition and his observatories areonly a tradition and his observatories are nothing but archaeological remains.nothing but archaeological remains.

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