Oldest Supernova Record in Kashmir
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Dynamical Evolution and Stability Maps of the Proxima Centauri System 3
A MNRAS 000, 1–11 (2012) Preprint 24 September 2018 Compiled using MNRAS L TEX style file v3.0 Dynamical evolution and stability maps of the Proxima Centauri system Tong Meng1,2, Jianghui Ji1⋆, Yao Dong1 1CAS Key Laboratory of Planetary Sciences, Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China 2University of Chinese Academy of Sciences, Beijing 100049, China Received 2012 July 26; in original form 2011 October 30 ABSTRACT Proxima Centauri was recently discovered to host an Earth-mass planet of Proxima b, and a 215-day signal which is probably a potential planet c. In this work, we investigate the dynamical evolution of the Proxima Centauri system with the full equations of motion and semi-analytical models including relativistic and tidal effects. We adopt the modified Lagrange-Laplace secular equations to study the evolution of eccentricity of Proxima b, and find that the outcomes are consistent with those from the numerical simulations. The simulations show that relativistic effects have an influence on the evolution of eccentricities of planetary orbits, whereas tidal effects primarily affects the eccentricity of Proxima b over long timescale. Moreover, using the MEGNO (the Mean Exponential Growth factor of Nearby Orbits) technique, we place dynamical constraints on orbital parameters that result in stable or quasi-periodic motions for coplanar and non-coplanar configurations. In the coplanar case, we find that the orbit of Proxima b is stable for the semi-major axis ranging from 0.02 au to 0.1 au and the eccentricity being less than 0.4. This is where the best-fitting parameters for Proxima b exactly fall. -
Ibrāhīm Ibn Sinān Ibn Thābit Ibn Qurra
From: Thomas Hockey et al. (eds.). The Biographical Encyclopedia of Astronomers, Springer Reference. New York: Springer, 2007, p. 574 Courtesy of http://dx.doi.org/10.1007/978-0-387-30400-7_697 Ibrāhīm ibn Sinān ibn Thābit ibn Qurra Glen Van Brummelen Born Baghdad, (Iraq), 908/909 Died Baghdad, (Iraq), 946 Ibrāhīm ibn Sinān was a creative scientist who, despite his short life, made numerous important contributions to both mathematics and astronomy. He was born to an illustrious scientific family. As his name suggests his grandfather was the renowned Thābit ibn Qurra; his father Sinān ibn Thābit was also an important mathematician and physician. Ibn Sinān was productive from an early age; according to his autobiography, he began his research at 15 and had written his first work (on shadow instruments) by 16 or 17. We have his own word that he intended to return to Baghdad to make observations to test his astronomical theories. He did return, but it is unknown whether he made his observations. Ibn Sinān died suffering from a swollen liver. Ibn Sinān's mathematical works contain a number of powerful and novel investigations. These include a treatise on how to draw conic sections, useful for the construction of sundials; an elegant and original proof of the theorem that the area of a parabolic segment is 4/3 the inscribed triangle (Archimedes' work on the parabola was not available to the Arabs); a work on tangent circles; and one of the most important Islamic studies on the meaning and use of the ancient Greek technique of analysis and synthesis. -
Al-Biruni: a Great Muslim Scientist, Philosopher and Historian (973 – 1050 Ad)
Al-Biruni: A Great Muslim Scientist, Philosopher and Historian (973 – 1050 Ad) Riaz Ahmad Abu Raihan Muhammad bin Ahmad, Al-Biruni was born in the suburb of Kath, capital of Khwarizmi (the region of the Amu Darya delta) Kingdom, in the territory of modern Khiva, on 4 September 973 AD.1 He learnt astronomy and mathematics from his teacher Abu Nasr Mansur, a member of the family then ruling at Kath. Al-Biruni made several observations with a meridian ring at Kath in his youth. In 995 Jurjani ruler attacked Kath and drove Al-Biruni into exile in Ray in Iran where he remained for some time and exchanged his observations with Al- Khujandi, famous astronomer which he later discussed in his work Tahdid. In 997 Al-Biruni returned to Kath, where he observed a lunar eclipse that Abu al-Wafa observed in Baghdad, on the basis of which he observed time difference between Kath and Baghdad. In the next few years he visited the Samanid court at Bukhara and Ispahan of Gilan and collected a lot of information for his research work. In 1004 he was back with Jurjania ruler and served as a chief diplomat and a spokesman of the court of Khwarism. But in Spring and Summer of 1017 when Sultan Mahmud of Ghazna conquered Khiva he brought Al-Biruni, along with a host of other scholars and philosophers, to Ghazna. Al-Biruni was then sent to the region near Kabul where he established his observatory.2 Later he was deputed to the study of religion and people of Kabul, Peshawar, and Punjab, Sindh, Baluchistan and other areas of Pakistan and India under the protection of an army regiment. -
FIXED STARS a SOLAR WRITER REPORT for Churchill Winston WRITTEN by DIANA K ROSENBERG Page 2
FIXED STARS A SOLAR WRITER REPORT for Churchill Winston WRITTEN BY DIANA K ROSENBERG Page 2 Prepared by Cafe Astrology cafeastrology.com Page 23 Churchill Winston Natal Chart Nov 30 1874 1:30 am GMT +0:00 Blenhein Castle 51°N48' 001°W22' 29°‚ 53' Tropical ƒ Placidus 02' 23° „ Ý 06° 46' Á ¿ 21° 15° Ý 06' „ 25' 23° 13' Œ À ¶29° Œ 28° … „ Ü É Ü 06° 36' 26' 25° 43' Œ 51'Ü áá Œ 29° ’ 29° “ àà … ‘ à ‹ – 55' á á 55' á †32' 16° 34' ¼ † 23° 51'Œ 23° ½ † 06' 25° “ ’ † Ê ’ ‹ 43' 35' 35' 06° ‡ Š 17° 43' Œ 09° º ˆ 01' 01' 07° ˆ ‰ ¾ 23° 22° 08° 02' ‡ ¸ Š 46' » Ï 06° 29°ˆ 53' ‰ Page 234 Astrological Summary Chart Point Positions: Churchill Winston Planet Sign Position House Comment The Moon Leo 29°Le36' 11th The Sun Sagittarius 7°Sg43' 3rd Mercury Scorpio 17°Sc35' 2nd Venus Sagittarius 22°Sg01' 3rd Mars Libra 16°Li32' 1st Jupiter Libra 23°Li34' 1st Saturn Aquarius 9°Aq35' 5th Uranus Leo 15°Le13' 11th Neptune Aries 28°Ar26' 8th Pluto Taurus 21°Ta25' 8th The North Node Aries 25°Ar51' 8th The South Node Libra 25°Li51' 2nd The Ascendant Virgo 29°Vi55' 1st The Midheaven Gemini 29°Ge53' 10th The Part of Fortune Capricorn 8°Cp01' 4th Chart Point Aspects Planet Aspect Planet Orb App/Sep The Moon Semisquare Mars 1°56' Applying The Moon Trine Neptune 1°10' Separating The Moon Trine The North Node 3°45' Separating The Moon Sextile The Midheaven 0°17' Applying The Sun Semisquare Jupiter 0°50' Applying The Sun Sextile Saturn 1°52' Applying The Sun Trine Uranus 7°30' Applying Mercury Square Uranus 2°21' Separating Mercury Opposition Pluto 3°49' Applying Venus Sextile -
Binocular Double Star Logbook
Astronomical League Binocular Double Star Club Logbook 1 Table of Contents Alpha Cassiopeiae 3 14 Canis Minoris Sh 251 (Oph) Psi 1 Piscium* F Hydrae Psi 1 & 2 Draconis* 37 Ceti Iota Cancri* 10 Σ2273 (Dra) Phi Cassiopeiae 27 Hydrae 40 & 41 Draconis* 93 (Rho) & 94 Piscium Tau 1 Hydrae 67 Ophiuchi 17 Chi Ceti 35 & 36 (Zeta) Leonis 39 Draconis 56 Andromedae 4 42 Leonis Minoris Epsilon 1 & 2 Lyrae* (U) 14 Arietis Σ1474 (Hya) Zeta 1 & 2 Lyrae* 59 Andromedae Alpha Ursae Majoris 11 Beta Lyrae* 15 Trianguli Delta Leonis Delta 1 & 2 Lyrae 33 Arietis 83 Leonis Theta Serpentis* 18 19 Tauri Tau Leonis 15 Aquilae 21 & 22 Tauri 5 93 Leonis OΣΣ178 (Aql) Eta Tauri 65 Ursae Majoris 28 Aquilae Phi Tauri 67 Ursae Majoris 12 6 (Alpha) & 8 Vul 62 Tauri 12 Comae Berenices Beta Cygni* Kappa 1 & 2 Tauri 17 Comae Berenices Epsilon Sagittae 19 Theta 1 & 2 Tauri 5 (Kappa) & 6 Draconis 54 Sagittarii 57 Persei 6 32 Camelopardalis* 16 Cygni 88 Tauri Σ1740 (Vir) 57 Aquilae Sigma 1 & 2 Tauri 79 (Zeta) & 80 Ursae Maj* 13 15 Sagittae Tau Tauri 70 Virginis Theta Sagittae 62 Eridani Iota Bootis* O1 (30 & 31) Cyg* 20 Beta Camelopardalis Σ1850 (Boo) 29 Cygni 11 & 12 Camelopardalis 7 Alpha Librae* Alpha 1 & 2 Capricorni* Delta Orionis* Delta Bootis* Beta 1 & 2 Capricorni* 42 & 45 Orionis Mu 1 & 2 Bootis* 14 75 Draconis Theta 2 Orionis* Omega 1 & 2 Scorpii Rho Capricorni Gamma Leporis* Kappa Herculis Omicron Capricorni 21 35 Camelopardalis ?? Nu Scorpii S 752 (Delphinus) 5 Lyncis 8 Nu 1 & 2 Coronae Borealis 48 Cygni Nu Geminorum Rho Ophiuchi 61 Cygni* 20 Geminorum 16 & 17 Draconis* 15 5 (Gamma) & 6 Equulei Zeta Geminorum 36 & 37 Herculis 79 Cygni h 3945 (CMa) Mu 1 & 2 Scorpii Mu Cygni 22 19 Lyncis* Zeta 1 & 2 Scorpii Epsilon Pegasi* Eta Canis Majoris 9 Σ133 (Her) Pi 1 & 2 Pegasi Δ 47 (CMa) 36 Ophiuchi* 33 Pegasi 64 & 65 Geminorum Nu 1 & 2 Draconis* 16 35 Pegasi Knt 4 (Pup) 53 Ophiuchi Delta Cephei* (U) The 28 stars with asterisks are also required for the regular AL Double Star Club. -
The Persian-Toledan Astronomical Connection and the European Renaissance
Academia Europaea 19th Annual Conference in cooperation with: Sociedad Estatal de Conmemoraciones Culturales, Ministerio de Cultura (Spain) “The Dialogue of Three Cultures and our European Heritage” (Toledo Crucible of the Culture and the Dawn of the Renaissance) 2 - 5 September 2007, Toledo, Spain Chair, Organizing Committee: Prof. Manuel G. Velarde The Persian-Toledan Astronomical Connection and the European Renaissance M. Heydari-Malayeri Paris Observatory Summary This paper aims at presenting a brief overview of astronomical exchanges between the Eastern and Western parts of the Islamic world from the 8th to 14th century. These cultural interactions were in fact vaster involving Persian, Indian, Greek, and Chinese traditions. I will particularly focus on some interesting relations between the Persian astronomical heritage and the Andalusian (Spanish) achievements in that period. After a brief introduction dealing mainly with a couple of terminological remarks, I will present a glimpse of the historical context in which Muslim science developed. In Section 3, the origins of Muslim astronomy will be briefly examined. Section 4 will be concerned with Khwârizmi, the Persian astronomer/mathematician who wrote the first major astronomical work in the Muslim world. His influence on later Andalusian astronomy will be looked into in Section 5. Andalusian astronomy flourished in the 11th century, as will be studied in Section 6. Among its major achievements were the Toledan Tables and the Alfonsine Tables, which will be presented in Section 7. The Tables had a major position in European astronomy until the advent of Copernicus in the 16th century. Since Ptolemy’s models were not satisfactory, Muslim astronomers tried to improve them, as we will see in Section 8. -
Bīrūnī's Telescopic-Shape Instrument for Observing the Lunar
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Revistes Catalanes amb Accés Obert Bīrūnī’s Telescopic-Shape Instrument for Observing the Lunar Crescent S. Mohammad Mozaffari and Georg Zotti Abstract:This paper deals with an optical aid named barbakh that Abū al-Ray¬ān al- Bīrūnī (973–1048 AD) proposes for facilitating the observation of the lunar crescent in his al-Qānūn al-Mas‘ūdī VIII.14. The device consists of a long tube mounted on a shaft erected at the centre of the Indian circle, and can rotate around itself and also move in the vertical plane. The main function of this sighting tube is to provide an observer with a darkened environment in order to strengthen his eyesight and give him more focus for finding the narrow crescent near the western horizon about the beginning of a lunar month. We first briefly review the history of altitude-azimuthal observational instruments, and then present a translation of Bīrūnī’s account, visualize the instrument in question by a 3D virtual reconstruction, and comment upon its structure and applicability. Keywords: Astronomical Instrumentation, Medieval Islamic Astronomy, Bīrūnī, Al- Qānūn al-Mas‘ūdī, Barbakh, Indian Circle Introduction: Altitude-Azimuthal Instruments in Islamic Medieval Astronomy. Altitude-azimuthal instruments either are used to measure the horizontal coordinates of a celestial object or to make use of these coordinates to sight a heavenly body. They Suhayl 14 (2015), pp. 167-188 168 S. Mohammad Mozaffari and Georg Zotti belong to the “empirical” type of astronomical instruments.1 None of the classical instruments mentioned in Ptolemy’s Almagest have the simultaneous measurement of both altitude and azimuth of a heavenly object as their main function.2 One of the earliest examples of altitude-azimuthal instruments is described by Abū al-Ray¬ān al- Bīrūnī for the observation of the lunar crescent near the western horizon (the horizontal coordinates are deployed in it to sight the lunar crescent). -
Spherical Trigonometry in the Astronomy of the Medieval Ke Rala School
SPHERICAL TRIGONOMETRY IN THE ASTRONOMY OF THE MEDIEVAL KE RALA SCHOOL KIM PLOFKER Brown University Although the methods of plane trigonometry became the cornerstone of classical Indian math ematical astronomy, the corresponding techniques for exact solution of triangles on the sphere's surface seem never to have been independently developed within this tradition. Numerous rules nevertheless appear in Sanskrit texts for finding the great-circle arcs representing various astro nomical quantities; these were presumably derived not by spherics per se but from plane triangles inside the sphere or from analemmatic projections, and were supplemented by approximate formu las assuming small spherical triangles to be plane. The activity of the school of Madhava (originating in the late fourteenth century in Kerala in South India) in devising, elaborating, and arranging such rules, as well as in refining formulas or interpretations of them that depend upon approximations, has received a good deal of notice. (See, e.g., R.C. Gupta, "Solution of the Astronomical Triangle as Found in the Tantra-Samgraha (A.D. 1500)", Indian Journal of History of Science, vol.9,no.l,1974, 86-99; "Madhava's Rule for Finding Angle between the Ecliptic and the Horizon and Aryabhata's Knowledge of It." in History of Oriental Astronomy, G.Swarup et al., eds., Cambridge: Cambridge University Press, 1985, pp. 197-202.) This paper presents another such rule from the Tantrasangraha (TS; ed. K.V.Sarma, Hoshiarpur: VVBIS&IS, 1977) of Madhava's student's son's student, Nllkantha's Somayajin, and examines it in comparison with a similar rule from Islamic spherical astronomy. -
The Oldest Translation of the Almagest Made for Al-Maʾmūn by Al-Ḥasan Ibn Quraysh: a Text Fragment in Ibn Al-Ṣalāḥ’S Critique on Al-Fārābī’S Commentary
Zurich Open Repository and Archive University of Zurich Main Library Strickhofstrasse 39 CH-8057 Zurich www.zora.uzh.ch Year: 2020 The Oldest Translation of the Almagest Made for al-Maʾmūn by al-Ḥasan ibn Quraysh: A Text Fragment in Ibn al-Ṣalāḥ’s Critique on al-Fārābī’s Commentary Thomann, Johannes DOI: https://doi.org/10.1484/M.PALS-EB.5.120176 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-190243 Book Section Accepted Version Originally published at: Thomann, Johannes (2020). The Oldest Translation of the Almagest Made for al-Maʾmūn by al-Ḥasan ibn Quraysh: A Text Fragment in Ibn al-Ṣalāḥ’s Critique on al-Fārābī’s Commentary. In: Juste, David; van Dalen, Benno; Hasse, Dag; Burnett, Charles. Ptolemy’s Science of the Stars in the Middle Ages. Turnhout: Brepols Publishers, 117-138. DOI: https://doi.org/10.1484/M.PALS-EB.5.120176 The Oldest Translation of the Almagest Made for al-Maʾmūn by al-Ḥasan ibn Quraysh: A Text Fragment in Ibn al-Ṣalāḥ’s Critique on al-Fārābī’s Commentary Johannes Thomann University of Zurich Institute of Asian and Oriental Research [email protected] 1. Life and times of Ibn al-Ṣalāḥ (d. 1154 ce) The first half of the twelfth century was a pivotal time in Western Europe. In that period translation activities from Arabic into Latin became a common enterprise on a large scale in recently conquered territories, of which the centres were Toledo, Palermo and Antioch. This is a well known part of what was called the Renaissance of the Twelfth Century.1 Less known is the situation in the Islamic World during the same period. -
Thabit Ibn Qurra : History and the Influence to Detemine the Time of Praying Fardhu
PROC. INTERNAT. CONF. SCI. ENGIN. ISSN 1504607797 Volume 4, February 2021 E-ISSN 1505707533 Page 255-258 Thabit Ibn Qurra : History and The Influence to Detemine The Time of Praying Fardhu Muhamad Rizky Febriawan1, Saka Aji Pangestu2 1 Mathematics Department, 2 Mathematics Education Department, Faculty Mathematics and Natural Science, Yogyakarta State University. Jl. Colombo No. 1 Caturtunggal,, Yogyakarta 55281, Indonesia. Tel. (0274)565411 Email: [email protected] Abstract. The application of mathematical history for overcoming with life’s problems are reflection to build more advanced civilizations than previous civilizations, because by studying history a nation can do an evaluation of the past mistakes. In addition, mathematical history gives wide basic understanding against the mathematical consepts for giving a solution against the problems. Not only about the ideal world held by the Platonist. As example, in the golden age of islam, the scientist at that moment developed knowledge especially mathematics with the principal to solve the problems with in daily life. The one of them is Thabit ibn qurra. Thabit ibn qurra used the principal of geometry to decide motion of the sun. The method used was by means of a shadow that produced by sunlight. So, the muslim can pray fardhu on time. This research is meant to reconstruct the method was used by Thabit ibn qurrah, so that the mathematics especially, the topic of geometry is no longer a matter that cannot be expressed in real or real terms. So that, the young generations, especially muslim will realize that learn the mathematics is invaluable in this life. -
ASTR-1020: Astronomy II Course Lecture Notes Section V
ASTR-1020: Astronomy II Course Lecture Notes Section V Dr. Donald G. Luttermoser East Tennessee State University Edition 4.0 Abstract These class notes are designed for use of the instructor and students of the course ASTR-1020: Astronomy II at East Tennessee State University. Donald G. Luttermoser, ETSU V–1 V. Stellar Evolution: Birth A. Cloud contraction. 1. GMCs are usually in hydrostatic equilibrium unless some event occurs to cause a cloud to exceed its Jeans’ mass (MJ) and/or Jeans’ length, which is a gravitational stability criterion first derived by British physicist Sir James Jeans in the 1930s. What is the trigger? Any process that can cause a stable (M< MJ ) cloudlet to become unstable (M>MJ ). a) Agglomeration: Component cloudlets of GMC’s col- lide and sometime coalesce until M>MJ. b) Shock Wave Compression: A shock can be the trigger =⇒ it acts like a snow plow causing density to increase, and as a result, MJ drops. i) Spiral Density Wave: As Milky Way Galaxy rotates, its two spiral arms can compress a GMC, which then leads to star formation. ii) Ionization Front: O & B stars form very quickly once cloud collapse has started (see below). These produce H II regions from their strong ionizing UV flux, which initially expand outward away from the OB association. This ionization front heats the gas causing a shock to form. The shock can compress the gas such that M>MJ , which once again, leads to star formation. iii) Supernova Shocks: O & B stars evolve very quickly on the main sequence and die explosively V–2 ASTR-1020: Astronomy II as supernovae. -
00E the Construction of the Universe Symphony
The basic construction of the Universe Symphony. There are 30 asterisms (Suites) in the Universe Symphony. I divided the asterisms into 15 groups. The asterisms in the same group, lay close to each other. Asterisms!! in Constellation!Stars!Objects nearby 01 The W!!!Cassiopeia!!Segin !!!!!!!Ruchbah !!!!!!!Marj !!!!!!!Schedar !!!!!!!Caph !!!!!!!!!Sailboat Cluster !!!!!!!!!Gamma Cassiopeia Nebula !!!!!!!!!NGC 129 !!!!!!!!!M 103 !!!!!!!!!NGC 637 !!!!!!!!!NGC 654 !!!!!!!!!NGC 659 !!!!!!!!!PacMan Nebula !!!!!!!!!Owl Cluster !!!!!!!!!NGC 663 Asterisms!! in Constellation!Stars!!Objects nearby 02 Northern Fly!!Aries!!!41 Arietis !!!!!!!39 Arietis!!! !!!!!!!35 Arietis !!!!!!!!!!NGC 1056 02 Whale’s Head!!Cetus!! ! Menkar !!!!!!!Lambda Ceti! !!!!!!!Mu Ceti !!!!!!!Xi2 Ceti !!!!!!!Kaffalijidhma !!!!!!!!!!IC 302 !!!!!!!!!!NGC 990 !!!!!!!!!!NGC 1024 !!!!!!!!!!NGC 1026 !!!!!!!!!!NGC 1070 !!!!!!!!!!NGC 1085 !!!!!!!!!!NGC 1107 !!!!!!!!!!NGC 1137 !!!!!!!!!!NGC 1143 !!!!!!!!!!NGC 1144 !!!!!!!!!!NGC 1153 Asterisms!! in Constellation Stars!!Objects nearby 03 Hyades!!!Taurus! Aldebaran !!!!!! Theta 2 Tauri !!!!!! Gamma Tauri !!!!!! Delta 1 Tauri !!!!!! Epsilon Tauri !!!!!!!!!Struve’s Lost Nebula !!!!!!!!!Hind’s Variable Nebula !!!!!!!!!IC 374 03 Kids!!!Auriga! Almaaz !!!!!! Hoedus II !!!!!! Hoedus I !!!!!!!!!The Kite Cluster !!!!!!!!!IC 397 03 Pleiades!! ! Taurus! Pleione (Seven Sisters)!! ! ! Atlas !!!!!! Alcyone !!!!!! Merope !!!!!! Electra !!!!!! Celaeno !!!!!! Taygeta !!!!!! Asterope !!!!!! Maia !!!!!!!!!Maia Nebula !!!!!!!!!Merope Nebula !!!!!!!!!Merope