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Aryabhata I: more detail

Aryabhata the Elder: An entry from Gale's Science and Its Times by Judson Knight, 2001
Aryabhata the Elder: An entry from Gale's Science and Its Times
Aryabhata I and his contributions to mathematics by Parmeshwar Jha, 1988
Physical Science in India: An entry from Gale's Science and Its Times by William J. McPeak, 2001
The Mathematics of Ancient India: An entry from Gale's Science and Its Times by James J. Hoffmann, 2001
Ariabkhata: K 1500-letiiu so dnia rozhdeniia (Nauchno-bibliograficheskaia seriia) by A. I Volodarskii, 1977

lists with details

Aryabhata's Babylonian Contacts
In his foreword to the Aryabhatiya of aryabhata edited by KV Sharma in 1976, In his introductory remarks in the essay aryabhata the father of
http://www.infinityfoundation.com/mandala/t_es/t_es_shah_m_contacts.htm

Extractions: by Manikant Shah In his article on Planetary constants K D Abhyankar tries to show that certain concepts used by Aryabhata in his treatises on Astronomy and Mathematics were probably influenced by the Babylonian planetary data. In his foreword to the 'Aryabhatiya of Aryabhata' edited by KV Sharma in 1976, B P Pal (the then president of the Indian National Science Academy) wrote that due to his contributions to the fields of Astronomy and Mathematics Aryabhata has rightly been regarded as the founder of scientific astronomy in India. In his introductory remarks in the essay 'Aryabhata- the father of epicyclical astronomy' ( History of Science in India vol.2), PC Sengupta states that 'from his own statement made in the Kala Kriya section of his Aryabhatiyam , we know that Aryabhata was born in the year 476 of the Christian Era, that he wrote this famous book (Aryabhatiya) at the age of 23 and that his native place was most probably Kusumapura, Patliputra or the modern city of Patna.' So great was his status in this respect, that whoever differed from Aryabhata was a subject of ridicule. Sengupta further writes that the Indian epicyclic astronomy was constructed by Aryabhata , from whom alone all the later Indian astronomers drew their inspiration. It is clear that Aryabhata had a wide reputation in India, but Abhyankar shows that the concepts of
Aryabhata's Babylonian Contacts
http://www.infinityfoundation.com/mandala/t_es/t_es_shah_m_contacts_frameset.htm
Article About "Aryabhata" In The English Wikipedia On 24-Apr-2004
aryabhata (Aryabha?a) is the first of the great astronomers of the classical age This is the aryabhata reference article from the English Wikipedia.
http://fixedreference.org/en/20040424/wikipedia/Aryabhata

Extractions: The Aryabhata reference article from the English Wikipedia on 24-Apr-2004 (provided by Fixed Reference : snapshots of Wikipedia from wikipedia.org) Aryabhata astronomers of the classical age of India . He was born in Patna His book, the , presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun . In this book, the day was reckoned from one sunrise to the next, whereas in his he took the day from one midnight to another. There was also difference in some astronomical parameters. This is the "Aryabhata" reference article from the English Wikipedia. All text is available under the terms of the GNU Free Documentation License . See also our
Historia Matematica Mailing List Archive: [HM] Aryabhata
Dinesh s question relating to aryabhata, looking for a Persian or A recentaryabhata conference arranged by George G. Joseph may have reported this fact
http://sunsite.utk.edu/math_archives/.http/hypermail/historia/feb00/0034.html
Indiainfo.com -> News -> India -> Noted Journalist Shamasunder Wins Aryabhata Aw
has been selected for the prestigious aryabhata Award 2003 . The aryabhataCultural Organisation selects people who have made invaluable contributions
http://news.indiainfo.com/2004/03/27/2703award.html
Aryabhata
Considérant un cercle de diamètre 20 000 unités, aryabhata évalue sa
http://serge.mehl.free.fr/chrono/Aryabhata.html

Extractions: p (TP niveau 5ème/4ème) La demi-corde, ancêtre du sinus : En trigonométrie, dans son Aryabhatiya, demi-corde pour la mesure des angles et à en établir une table précise de à 90°, par pas de 3° 45' (soit 24 valeurs) en utilisant une circonférence de 21600 = 60 x 360 (pour un usage pratique de la base 60 ) pour un rayon de 3438 équivalent à p = 3,14136. D'autres valeurs de demi-cordes pouvant être approchées par interpolation linéaire. La demi-corde correspond au sinus de l'angle double lorsque le rayon du cercle est choisi égal à 1 (cercle trigonométrique) . Tel est le par la corde AB . On voit que BH est la demi-corde demi-corde sinus des traductions latines.
Indiaclub.com Search Results - ProductID: 6403
aryabhata Life and Contributions by DS Hooda , JN Kapur (Author ALERT) aryabhata, for the first time, had the courage to break with this tradition.
http://www.indiaclub.com/shop/SearchResults.asp?prodstock=6403
GIS News Aryabhata Award For Kasturirangan
Be the first to know GISdevelopment.net News brings you the news, views andreviews of the latest events and happening in the GIS Community.
http://www.gisdevelopment.net/news/viewn.asp?id=GIS:N_cpqjhxroiz&cat=Business Ne
Aryabhata - Linix Encyclopedia
aryabhata () (Aryabha?a) is the first of the great astronomers aryabhata gave the world the digit 0 (zero) for which he became immortal.
http://web.linix.ca/pedia/index.php/Aryabhata

Extractions: Aryabhata gave the world the digit "0" (zero) for which he became immortal. His book, the , presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun (in other words, it was heliocentric ). This book is divided into four chapters: (i) the astronomical constants and the sine table (ii) mathematics required for computations (iii) division of time and rules for computing the longitudes of planets using eccentrics and epicycles (iv) the armillary sphere, rules relating to problems of trigonometry and the computation of eclipses. In this book, the day was reckoned from one sunrise to the next, whereas in his he took the day from one midnight to another. There was also difference in some astronomical parameters. Aryabhata also gave an accurate approximation for edit edit http://www.jqjacobs.net/astro/aryabhata.html
» Aryabhata Great Personalities Biography : Incredible People : Famous People G
The young astronomer was aryabhata and the treatise was Aryabhatiya. Born in 476in Kerala, aryabhata had come to complete his studies at the University of
http://profiles.incredible-people.com/aryabhata/

Extractions: About India N early five hundred years after the birth of Christ a ritual was held near Khagola, the famous astronomical observatory at the University of Nalanda near Kusumapura (Patna), to mark the âbirthâ of a treatise that was to lay the foundation of a new school of thought in astronomy. When the bell at the university tolled at 12 noon on March 21,499 A.D., a chorus of vedic chants filled the air. And priests, after prayers before a havan, led a 23-year-old astronomer to a platform. Silence prevailed as the astronomer sprinkled holy water on the parchment and pen lying on a desk placed on the platform. Chanting holy verses, he gazed at the sun overhead and prostrated himself in obeisance before sitting at the desk. Taking the pen, he wrote the first letter of the treatise while the priests chanted slokas and the large crowd of learned men showered flowers on him. The young astronomer was Aryabhata and the treatise was Aryabhatiya. Born in 476 in Kerala, Aryabhata had come to complete his studies at the University of Nalanda, which was then a great centre of learning. When his treatise was recognized as a masterpiece, the then Gupta ruler Buddhagupta, made him head of the university.
SATELLITE TECHNOLOGY DEVELOPMENT
aryabhata was the first Indian satellite launched into a near earth orbit onApril 19, aryabhata carried three payloads one each for X-ray, astronomy,
http://ceos.cnes.fr:8100/cdrom-00b2/ceos1/isro/abisro/old_sat.htm

Extractions: Aryabhata was the first Indian satellite launched into a near earth orbit on April 19, 1975 by an Intercosmos rocket of the erstwhile USSR. Aryabhata carried three payloads - one each for X-ray, astronomy, solar physics and aeronomy. The mission was a success and provided the early experience to ISRO for planning, developing and managing a satellite mission. Bhaskara - I and II were the first two experimental remote sensing satellites launched on June 7, 1979 and November 20, 1981 respectively by Intercosmos rockets. Both the satellites carried two TV cameras, one in visible and the other in near-infrared band and having a 1 Km resolution and a 3-frequency Passive Microwave Radiometer. The Bhaskara mission saw the birth of a systematic ground segment and applications programme. Together with the capabilities developed in satellite and sensor development, a truly indigenous space-capability was the result of the Bhaskara mission. Rohini: A series of technological/scientific satellites, launched by India's own launch vehicle, SLV-3. First one was used to measure the performance of SLV-3, second and third carried a SMARTsensor - the first Charge Coupled Device (CCD) camera developed in-house. Rohini saw the entry of ISRO to the use of CCD technology and system design for sensors.
Math Lessons - Aryabhata
Math Lessons aryabhata. aryabhata () (Aryabha?a) is the firstof the great aryabhata also gave an accurate approximation for p.
http://www.mathdaily.com/lessons/Aryabhata

Extractions: Search algebra arithmetic calculus equations ... more applied mathematics mathematical games mathematicians more ... Indian astronomers astronomers of the classical age of India . He was born in AD in Ashmaka but later lived in Kusumapura , which his commentator AD) identifies with Patilputra (modern Patna His book, the , presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun (in other words, it was heliocentric ). This book is divided into four chapters: (i) the astronomical constants and the sine table (ii) mathematics required for computations (iii) division of time and rules for computing the longitudes of planets using eccentrics and epicycles (iv) the armillary sphere, rules relating to problems of trigonometry and the computation of eclipses. In this book, the day was reckoned from one sunrise to the next, whereas in his he took the day from one midnight to another. There was also difference in some astronomical parameters.
Citebase - On Aryabhata's Planetary Constants
This paper examines the theory of a Babylonian origin of aryabhata s planetaryconstants. It shows that aryabhata s basic constant is closer to the Indian
http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:physics/0110029
Aryabhatta Satellite (First Indian Satellite)
Aryabhatta Satellite. (First Indian Experimental Satellite). image Launch Date April 19, 1975 Weight 360 kg Orbit 619 x 562 km inclined at 50.7 deg
http://www.csre.iitb.ac.in/isro/aryabhata.html
Www.nrl.navy.mil/cgi-bin/clementine/clib/features/
PDF aryabhata Remainder Theorem Relevance to publickey crypto-algorithms
http://www.nrl.navy.mil/cgi-bin/clementine/clib/features/lunar_fea.pl?which=crat
Astronomy *Aryabhata Aryabhata (476 AD - C. 500 AD; India
aryabhata, born in Pataliputra, India, was an astronomer and the earliest aryabhata was one of the first known persons to use algebra and he applied
http://www.upei.ca/~xliu/multi-culture/arya.htm

Extractions: Astronomy Aryabhata Aryabhata (476 A.D. - c. 500 A.D.; India) Aryabhata, born in Pataliputra, India, was an astronomer and the earliest Hindu mathematician. Aryabhata was one of the first known persons to use algebra and he applied algebra to geometry and astronomy. In the year 499 A.D., Aryabhata finished the Aryabhatiya which was his chief work. It was a collection of information on astronomy and rules of calculation, formulae (both correct and incorrect) for areas and volumes and tables of trigonometric sines. Most of the Aryabhatiya was devoted to astronomy and spherical trigonometry. The work also contained the treatment of indeterminate equations by the application of continued fractions which is the modern method of determining the solution. Aryabhata was able to give an accurate approximation of pi (3.1416) and introduced the versed sine function (1 minus the cosine of an angle) into trigonometry. His solution of the Diophantine equation, ax + by = c, was typical of the Hindu interest in interdeterminate analysis. Aryabhata also taught that the earth rotated on its axis and this accounted for the apparent rotation of the heavens. In addition Aryabhata explained the mechanics of both solar and lunar eclipses (Britannica, 1:611, 18:4, 21:50, 20:584, 1994; Encyclopedia Americana, 2:425, 14:930, 2:572, 1991; and Encyclopedia International, 2:81, 1964).
Spacecrafts Launched In 1975
45), aryabhata, 46), Kosmos 729 / Tsiklon, 47), Kosmos 730 / Zenit4MK, 48),Molniya 1-29. 49), Explorer 53 / SAS 3, 50), Anik 3 / Telesat C
http://www.sciencepresse.qc.ca/clafleur/Spacecrafts-1975.html

Extractions: Home 1975 Summary 1974 spacecrafts 1976 spacecrafts The 168 spacecrafts launched in 1975 : Soyuz 17 Kosmos 702 / Zenit-2M Kosmos 703 / DS-P1-Yu 70 Landsat 2 / ERTS 2 ... Molniya 3-4 Last update : basic data (in construction) Spacecraft Entries Soyuz 17 Spacecraft: Soyuz 7K-T No. 38 Numbers: 1975 payload #1 ; 1975-001A ; 2069th spacecraft. Type: Piloted spacecraft Sponsor: Soviet Union (Korolev's Design Bureau) Launch: 11 January 1975 at 21h43 UTC, from Baykonur Cosmodrome's LC-1, by an A-2/Soyuz (11A511). Orbit: Decayed: Mission: Source: Jonathan McDowell 's Master List Mark Wades Encyclopedia Astronautica National Space Science Data Center 's ; TRW Space Log ; Kosmos 702 Spacecraft: Zenit-2M Numbers: 1975 payload #2 ; 1975-002A ; 2070th spacecraft. Type: Reconnaissance Sponsor: Soviet Union's Defense ministry Launch: 17 January 1975 at 9h07 UTC, from Baykonur Cosmodrome's LC-31, by an A-2/"Voskhod" (11A57). Orbit: Decayed: Mission: Source: Jonathan McDowell 's Master List Mark Wades Encyclopedia Astronautica National Space Science Data Center 's ; TRW Space Log ; Kosmos 703 Spacecraft: DS-P1-Yu No. 70
Lexikon Aryabhata
Translate this page aryabhata lehrte aber auch schon, dass sich die Erde einmal täglich um Aryabhatiya of aryabhata, kritische Edition von KS Shukla und KV Sarma (1976)
http://lexikon.freenet.de/Aryabhata

Extractions: Sie sind hier: Startseite Lexikon Aryabhata Aryabhata I. ; â ca. ) war ein bedeutender indischer Mathematiker und Astronom Aryabhata I. Aryabhata bestimmte die Kreiszahl Pi f¼r damalige Verh¤ltnisse sehr genau auf 3,1416 und scheint schon geahnt zu haben, dass es sich um eine irrationale Zahl handelt. Aryabhata konnte Quadratwurzeln und Kubikwurzeln ziehen sowie verschiedene lineare und quadratische Gleichungen l¶sen; er entwickelte auch die Trigonometrie weiter. Als seine gr¶te mathematische Leistung ist aber die "unbestimmte Analytik" f¼r verallgemeinerte diophantische Gleichungen anzusehen. Vermittelt durch die
X-ray Observations Of GX17+2 And GX9+9 By Aryabhata
Title Xray observations of GX17+2 and GX9+9 by aryabhata Authors Kasturirangan,K.; Rao, UR; Sharma, DP; Radha, MS Affiliation AA(Indian Space Research
http://adsabs.harvard.edu/abs/1976Natur.260..226K

Extractions: Title: X-ray observations of GX17+2 and GX9+9 by Aryabhata Authors: Kasturirangan, K. Rao, U. R. Sharma, D. P. Radha, M. S. Affiliation: AA(Indian Space Research Organization, Bangalore, India), AB(Indian Space Research Organization, Bangalore, India), AC(Indian Space Research Organization, Bangalore, India), AD(Indian Space Research Organization, Bangalore, India) Journal: Nature, vol. 260, Mar. 18, 1976, p. 226, 227. Research supported by the Department of Space of India. ( Nature Homepage Publication Date: Category: Astronomy Origin: STI NASA/STI Keywords: SATELLITE OBSERVATION, SPACEBORNE ASTRONOMY, SPECTRAL ENERGY DISTRIBUTION, X RAY SOURCES, BREMSSTRAHLUNG, HIGH TEMPERATURE PLASMAS, PLASMA RADIATION, PROPORTIONAL COUNTERS, X RAY TELESCOPES Bibliographic Code: Abstract The results of X-ray observations of GX17+2 and GX9+9 using the proportional counter telescope on the Indian satellite Aryabhata are reported. The spectrum of GX17+2 can be fitted to an exponential function, yielding a characteristic kT value of 9.31 plus or minus 0.03 keV. If the X radiation arises from bremsstrahlung in a hot plasma, the equivalent temperature of the emitting body at the time of observation was about 108 million K. The spectral distribution of GX9+9 is apparently governed by a power law with an exponent of about 1.2, and suggests a non-thermal mechanism for X-ray emission. Comparison of the present energy flux data with rocket observations indicates that emission from GX9+9 is variable.
Observations Of CYG X-1 From Aryabhata
Title Observations of CYG X1 from aryabhata Authors Rao, UR; Kasturirangan,K.; Sharma, DP; Radha, MS Affiliation AA(Indian Space Research Organization,
http://adsabs.harvard.edu/abs/1976Natur.260..307R

Extractions: Title: Observations of CYG X-1 from Aryabhata Authors: Rao, U. R. Kasturirangan, K. Sharma, D. P. Radha, M. S. Affiliation: AA(Indian Space Research Organization, Bangalore, India), AB(Indian Space Research Organization, Bangalore, India), AC(Indian Space Research Organization, Bangalore, India), AD(Indian Space Research Organization, Bangalore, India) Journal: Nature, vol. 260, Mar. 25, 1976, p. 307, 308. Research supported by the Department of Space of India. ( Nature Homepage Publication Date: Category: Astrophysics Origin: STI NASA/STI Keywords: SPACEBORNE ASTRONOMY, STELLAR SPECTROPHOTOMETRY, X RAY STARS, INDIAN SPACE PROGRAM, PHOTON DENSITY, PROPORTIONAL COUNTERS, SATELLITE-BORNE INSTRUMENTS, STELLAR SPECTRA, X RAY ASTRONOMY Bibliographic Code: Abstract The paper reports results of observations of the X-ray source Cyg X-1 by the Indian satellite Aryabhata on April 19, 1975. The observations of the source were made by proportional counter telescopes in the energy range 2.5 to 18.75 keV just before the source made a major increase in its intensity. The spectrum of Cyg X-1 thus detected shows a power law dependence with an index of about 0.7 plus or minus 0.2 in the energy interval 2.5-13.8 keV, the estimated intensity being 0.84 plus or minus 0.3 photons/sq. cm/s. The source underwent a major upward transition in its intensity during late April. This intensity transition is characterized by an accompanying spectral change with spectral exponent changing from the value of 1.6 during the normal state to 2.2 in the 'high' state.

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