Transit Observations As Means to Re-Establish the Reputation of the Russian Academy of Sciences
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Modelling and the Transit of Venus
Modelling and the transit of Venus Dave Quinn University of Queensland <[email protected]> Ron Berry University of Queensland <[email protected]> Introduction enior secondary mathematics students could justifiably question the rele- Svance of subject matter they are being required to understand. One response to this is to place the learning experience within a context that clearly demonstrates a non-trivial application of the material, and which thereby provides a definite purpose for the mathematical tools under consid- eration. This neatly complements a requirement of mathematics syllabi (for example, Queensland Board of Senior Secondary School Studies, 2001), which are placing increasing emphasis on the ability of students to apply mathematical thinking to the task of modelling real situations. Success in this endeavour requires that a process for developing a mathematical model be taught explicitly (Galbraith & Clatworthy, 1991), and that sufficient opportu- nities are provided to students to engage them in that process so that when they are confronted by an apparently complex situation they have the think- ing and operational skills, as well as the disposition, to enable them to proceed. The modelling process can be seen as an iterative sequence of stages (not ) necessarily distinctly delineated) that convert a physical situation into a math- 1 ( ematical formulation that allows relationships to be defined, variables to be 0 2 l manipulated, and results to be obtained, which can then be interpreted and a n r verified as to their accuracy (Galbraith & Clatworthy, 1991; Mason & Davis, u o J 1991). The process is iterative because often, at this point, limitations, inac- s c i t curacies and/or invalid assumptions are identified which necessitate a m refinement of the model, or perhaps even a reassessment of the question for e h t which we are seeking an answer. -
Lomonosov, the Discovery of Venus's Atmosphere, and Eighteenth Century Transits of Venus
Journal of Astronomical History and Heritage, 15(1), 3-14 (2012). LOMONOSOV, THE DISCOVERY OF VENUS'S ATMOSPHERE, AND EIGHTEENTH CENTURY TRANSITS OF VENUS Jay M. Pasachoff Hopkins Observatory, Williams College, Williamstown, Mass. 01267, USA. E-mail: [email protected] and William Sheehan 2105 SE 6th Avenue, Willmar, Minnesota 56201, USA. E-mail: [email protected] Abstract: The discovery of Venus's atmosphere has been widely attributed to the Russian academician M.V. Lomonosov from his observations of the 1761 transit of Venus from St. Petersburg. Other observers at the time also made observations that have been ascribed to the effects of the atmosphere of Venus. Though Venus does have an atmosphere one hundred times denser than the Earth’s and refracts sunlight so as to produce an ‘aureole’ around the planet’s disk when it is ingressing and egressing the solar limb, many eighteenth century observers also upheld the doctrine of cosmic pluralism: believing that the planets were inhabited, they had a preconceived bias for believing that the other planets must have atmospheres. A careful re-examination of several of the most important accounts of eighteenth century observers and comparisons with the observations of the nineteenth century and 2004 transits shows that Lomonosov inferred the existence of Venus’s atmosphere from observations related to the ‘black drop’, which has nothing to do with the atmosphere of Venus. Several observers of the eighteenth-century transits, includ- ing Chappe d’Auteroche, Bergman, and Wargentin in 1761 and Wales, Dymond, and Rittenhouse in 1769, may have made bona fide observations of the aureole produced by the atmosphere of Venus. -
History of Science Society Annual Meeting San Diego, California 15-18 November 2012
History of Science Society Annual Meeting San Diego, California 15-18 November 2012 Session Abstracts Alphabetized by Session Title. Abstracts only available for organized sessions. Agricultural Sciences in Modern East Asia Abstract: Agriculture has more significance than the production of capital along. The cultivation of rice by men and the weaving of silk by women have been long regarded as the two foundational pillars of the civilization. However, agricultural activities in East Asia, having been built around such iconic relationships, came under great questioning and processes of negation during the nineteenth and twentieth centuries as people began to embrace Western science and technology in order to survive. And yet, amongst many sub-disciplines of science and technology, a particular vein of agricultural science emerged out of technological and scientific practices of agriculture in ways that were integral to East Asian governance and political economy. What did it mean for indigenous people to learn and practice new agricultural sciences in their respective contexts? With this border-crossing theme, this panel seeks to identify and question the commonalities and differences in the political complication of agricultural sciences in modern East Asia. Lavelle’s paper explores that agricultural experimentation practiced by Qing agrarian scholars circulated new ideas to wider audience, regardless of literacy. Onaga’s paper traces Japanese sericultural scientists who adapted hybridization science to the Japanese context at the turn of the twentieth century. Lee’s paper investigates Chinese agricultural scientists’ efforts to deal with the question of rice quality in the 1930s. American Motherhood at the Intersection of Nature and Science, 1945-1975 Abstract: This panel explores how scientific and popular ideas about “the natural” and motherhood have impacted the construction and experience of maternal identities and practices in 20th century America. -
A Comet of the Enlightenment Anders Johan Lexell's Life and Discoveries Series: Vita Mathematica
birkhauser-science.de Johan C.-E. Stén A Comet of the Enlightenment Anders Johan Lexell's Life and Discoveries Series: Vita Mathematica The first-ever full-length biography of the mathematician and astronomer Anders Johan Lexell (1740–1784) Sheds new light on the collaborators of Leonhard Euler Interesting study of a scientist's grand tour through enlightened Europe The Finnish mathematician and astronomer Anders Johan Lexell (1740–1784) was a long-time close collaborator as well as the academic successor of Leonhard Euler at the Imperial Academy of Sciences in Saint Petersburg. Lexell was initially invited by Euler from his native town of Abo (Turku) in Finland to Saint Petersburg to assist in the mathematical processing of the astronomical data of the forthcoming transit of Venus of 1769. A few years later he 2014, XVI, 300 p. 46 illus., 16 illus. in became an ordinary member of the Academy. This is the first-ever full-length biography color. devoted to Lexell and his prolific scientific output. His rich correspondence especially from his grand tour to Germany, France and England reveals him as a lucid observer of the intellectual Printed book landscape of enlightened Europe. In the skies, a comet, a minor planet and a crater on the Hardcover Moon named after Lexell also perpetuate his memory. 129,99 € | £109.99 | $159.99 [1]139,09 € (D) | 142,99 € (A) | CHF 153,50 Softcover 89,99 € | £79.99 | $109.99 [1]96,29 € (D) | 98,99 € (A) | CHF 106,50 eBook 74,89 € | £63.99 | $84.99 [2]74,89 € (D) | 74,89 € (A) | CHF 85,00 Available from your library or springer.com/shop MyCopy [3] Printed eBook for just € | $ 24.99 springer.com/mycopy Order online at springer.com / or for the Americas call (toll free) 1-800-SPRINGER / or email us at: [email protected]. -
This Is an Electronic Reprint of the Original Article. This Reprint May Differ from the Original in Pagination and Typographic Detail
This is an electronic reprint of the original article. This reprint may differ from the original in pagination and typographic detail. Author(s): Sterken, Christiaan; Aspaas, Per Pippin; Dunér, David; Kontler, László; Neul, Reinhard; Pekonen, Osmo; Posch, Thomas Title: A voyage to Vardø - A scientific account of an unscientific expedition Year: 2013 Version: Please cite the original version: Sterken, C., Aspaas, P. P., Dunér, D., Kontler, L., Neul, R., Pekonen, O., & Posch, T. (2013). A voyage to Vardø - A scientific account of an unscientific expedition. The Journal of Astronomical Data, 19(1), 203-232. http://www.vub.ac.be/STER/JAD/JAD19/jad19.htm All material supplied via JYX is protected by copyright and other intellectual property rights, and duplication or sale of all or part of any of the repository collections is not permitted, except that material may be duplicated by you for your research use or educational purposes in electronic or print form. You must obtain permission for any other use. Electronic or print copies may not be offered, whether for sale or otherwise to anyone who is not an authorised user. MEETING VENUS C. Sterken, P. P. Aspaas (Eds.) The Journal of Astronomical Data 19, 1, 2013 A Voyage to Vardø. A Scientific Account of an Unscientific Expedition Christiaan Sterken1, Per Pippin Aspaas,2 David Dun´er,3,4 L´aszl´oKontler,5 Reinhard Neul,6 Osmo Pekonen,7 and Thomas Posch8 1Vrije Universiteit Brussel, Brussels, Belgium 2University of Tromsø, Norway 3History of Science and Ideas, Lund University, Sweden 4Centre for Cognitive Semiotics, Lund University, Sweden 5Central European University, Budapest, Hungary 6Robert Bosch GmbH, Stuttgart, Germany 7University of Jyv¨askyl¨a, Finland 8Institut f¨ur Astronomie, University of Vienna, Austria Abstract. -
The Venus Transit: a Historical Retrospective
The Venus Transit: a Historical Retrospective Larry McHenry The Venus Transit: A Historical Retrospective 1) What is a ‘Venus Transit”? A: Kepler’s Prediction – 1627: B: 1st Transit Observation – Jeremiah Horrocks 1639 2) Why was it so Important? A: Edmund Halley’s call to action 1716 B: The Age of Reason (Enlightenment) and the start of the Industrial Revolution 3) The First World Wide effort – the Transit of 1761. A: Countries and Astronomers involved B: What happened on Transit Day C: The Results 4) The Second Try – the Transit of 1769. A: Countries and Astronomers involved B: What happened on Transit Day C: The Results 5) The 19th Century attempts – 1874 Transit A: Countries and Astronomers involved B: What happened on Transit Day C: The Results 6) The 19th Century’s Last Try – 1882 Transit - Photography will save the day. A: Countries and Astronomers involved B: What happened on Transit Day C: The Results 7) The Modern Era A: Now it’s just for fun: The AU has been calculated by other means). B: the 2004 and 2012 Transits: a Global Observation C: My personal experience – 2004 D: the 2004 and 2012 Transits: a Global Observation…Cont. E: My personal experience - 2012 F: New Science from the Transit 8) Conclusion – What Next – 2117. Credits The Venus Transit: A Historical Retrospective 1) What is a ‘Venus Transit”? Introduction: Last June, 2012, for only the 7th time in recorded history, a rare celestial event was witnessed by millions around the world. This was the transit of the planet Venus across the face of the Sun. -
The Transit of Venus Measuring the Distance to the Sun
The Transit of Venus Measuring the Distance to the Sun Based on the article at http://brightstartutors.com/blog/2012/04/26/the-transit-of-venus/, where additional details and the math may be found. On June 5, 2012, people from many countries will be able to see a rare transit of Venus. This just means that Venus will be between the Earth and Sun, so that Venus will appear as a small dot on the Sun’s surface. Scientists studied the Venus transits in the eighteenth century in order to calculate the distance to the Sun, and to the other planets in our solar system. This was one of the most important scientific questions of the age, because only the relative distance of each planet from the Sun was known. In 1716, the English astronomer Edmund Halley described a method for using a Venus transit to measure the solar system. Observers on two different locations on the Earth would see Venus appear to travel across the front of the Sun along two different paths (A’ and B’), and could measure the angle between the two locations (θ in the diagram below). Using the distance between the observers, and the angle to Venus, trigonometry can determine the distance to Venus. Almost a hundred years earlier, Kepler’s third law enabled astronomers to calculate the relative distance to the planets using each planet’s orbital period. Since astronomers already knew that the Sun-Venus distance was 0.72 times the Sun-Earth distance, knowing the distance to Venus would make it fairly easy to calculate the distance to the Sun. -
Medieval Cosmology
The Evolving Universe and the Origin of Life Pekka Teerikorpi • Mauri Valtonen • Kirsi Lehto • Harry Lehto • Gene Byrd • Arthur Chernin The Evolving Universe and the Origin of Life The Search for Our Cosmic Roots 123 Dr. Pekka Teerikorpi Dr. Mauri Valtonen University of Turku University of Turku Department of Physics and Astronomy Department of Physics and Astronomy Tuorla Observatory Tuorla Observatory FI-21500 Piikkio¨ FI-21500 Piikkio¨ Finland Finland pekkatee@utu.fi mavalto@utu.fi Dr. Kirsi Lehto Dr. Harry Lehto University of Turku University of Turku Department of Biology Department of Physics and Astronomy Laboratory of Plant Physiology Tuorla Observatory FI-20014 Turku FI-21500 Piikkio¨ Finland Finland klehto@utu.fi hlehto@utu.fi Dr. Gene Byrd Dr. Arthur Chernin University of Alabama Sternberg State Astronomical Institute Department of Physics and Astronomy Universitetskiy Prospect 13 P.O. Box 870324 Moscow Tuscaloosa AL 35487-0324 Russia 119899 USA [email protected] [email protected] ISBN 978-0-387-09533-2 e-ISBN 978-0-387-09534-9 Library of Congress Control Number: 2008930766 c 2009 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. -
Arxiv:1409.4736V1 [Math.HO] 16 Sep 2014
ON THE WORKS OF EULER AND HIS FOLLOWERS ON SPHERICAL GEOMETRY ATHANASE PAPADOPOULOS Abstract. We review and comment on some works of Euler and his followers on spherical geometry. We start by presenting some memoirs of Euler on spherical trigonometry. We comment on Euler's use of the methods of the calculus of variations in spherical trigonometry. We then survey a series of geometrical resuls, where the stress is on the analogy between the results in spherical geometry and the corresponding results in Euclidean geometry. We elaborate on two such results. The first one, known as Lexell's Theorem (Lexell was a student of Euler), concerns the locus of the vertices of a spherical triangle with a fixed area and a given base. This is the spherical counterpart of a result in Euclid's Elements, but it is much more difficult to prove than its Euclidean analogue. The second result, due to Euler, is the spherical analogue of a generalization of a theorem of Pappus (Proposition 117 of Book VII of the Collection) on the construction of a triangle inscribed in a circle whose sides are contained in three lines that pass through three given points. Both results have many ramifications, involving several mathematicians, and we mention some of these developments. We also comment on three papers of Euler on projections of the sphere on the Euclidean plane that are related with the art of drawing geographical maps. AMS classification: 01-99 ; 53-02 ; 53-03 ; 53A05 ; 53A35. Keywords: spherical trigonometry, spherical geometry, Euler, Lexell the- orem, cartography, calculus of variations. -
TRACE Observations of the 15 November 1999 Transit of Mercury and the Black Drop Effect: Considerations for the 2004 Transit of Venus
Icarus 168 (2004) 249–256 www.elsevier.com/locate/icarus TRACE observations of the 15 November 1999 transit of Mercury and the Black Drop effect: considerations for the 2004 transit of Venus Glenn Schneider,a,∗ Jay M. Pasachoff,b and Leon Golub c a Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721, USA b Williams College—Hopkins Observatory, Williamstown, MA 01267, USA c Smithsonian Astrophysical Observatory, Mail Stop 58, 60 Garden Street, Cambridge, MA 02138, USA Received 15 May 2003; revised 14 October 2003 Abstract Historically, the visual manifestation of the “Black Drop effect,” the appearance of a band linking the solar limb to the disk of a transiting planet near the point of internal tangency, had limited the accuracy of the determination of the Astronomical Unit and the scale of the Solar System in the 18th and 19th centuries. This problem was misunderstood in the case of Venus during its rare transits due to the presence of its atmosphere. We report on observations of the 15 November 1999 transit of Mercury obtained, without the degrading effects of the Earth’s atmosphere, with the Transition Region and Coronal Explorer spacecraft. In spite of the telescope’s location beyond the Earth’s atmosphere, and the absence of a significant mercurian atmosphere, a faint Black Drop effect was detected. After calibration and removal of, or compensation for, both internal and external systematic effects, the only radially directed brightness anisotropies found resulted from the convolution of the instrumental point-spread function with the solar limb-darkened, back-lit, illumination function. -
Panoptic Astronomical Networked Optical Observatory for Transiting Exoplanets Survey (PANOPTES)
Panoptic Astronomical Networked OPtical observatory for Transiting Exoplanets Survey (PANOPTES) Website:projectpanoptes.org Google group: projectpanoptes Olivier Guyon (Subaru Telescope, Univ. of Arizona) Josh Walawender (Subaru Telescope) Mike Butterfield (GEOST) … on behalf of PANOPTES project team Project PANPOPTES overview & goals Establish a world-wide network of small cameras to monitor, quasi-continously, a large fraction of the sky to detect exoplanet transits. Enable amateur astronomers / citizen scientists and schools to discover a large number of exoplanets. The PANOPTES data can also enable other discoveries (comets, variable stars, supernovae, asteroids)... You come up with new ideas/projects and test them ! Exoplanet transits Transit of Venus June 2012 Jupiter-type planets create ~1% transit depth Efficient & cost-effective approach PANOPTES-type survey performance is quantified by total etendue: Etendue = # units x collecting area x field of view We should trade # of units, collecting area and field of view to maximize etendue PANOPTES uses DSLR camera + 85mm F1.4 lenses PANOPTES unit = few $1000s 1 camera+ lens = 150 sq deg x 0.003 sq meter = 0.43 sq deg sq meter → ~0.2 sq deg sq m / $1000 Efficient & cost-effective approach For comparison (ignoring detector efficiency, which can change etendue by ~factor 2): LSST (8.4m diam, 3.5 deg FOV): 350 sq deg sq m for $600M 0.006 sq deg sq m / $1000 (340x less efficient than PANOPTES) Celestron 14 + Hyperstar + 27mm CCD + dome 4 sq deg x 0.1 sq m for ~$40,000 0.01 sq deg sq m / -
A Synoptic Overview of Selected Key People and Key Places Involved in Historical Transits of Venus
MEETING VENUS C. Sterken, P. P. Aspaas (Eds.) The Journal of Astronomical Data 19, 1, 2013 A Synoptic Overview of Selected Key People and Key Places Involved in Historical Transits of Venus Christiaan Sterken Vrije Universiteit Brussel, Brussels, Belgium Per Pippin Aspaas University of Tromsø, Norway Abstract. This paper presents an overview of the dramatis personae et situs, or significant characters and places dealt with in this book. Several geographical and political maps, and timelines are provided as an aid to the reader. 1. Introduction The transits of Venus are landmarks in the history of science, principally because of their use in historical attempts to measure the scale of our solar system. Eight transits of Venus have occurred since the prediction of the first such event by Jo- hannes Kepler in 1629. These transits appeared in four pairs spaced by 8 years, with each pair separated by a time interval of more than one century.1 The transit pairs alternatively happen in early June and in early December. Figure 1 shows the timeline of occurrence of the events, together with the publication date of four historical works that played a crucial role in the transit of Venus science, viz., 1. In 1629, Johannes Kepler published in his De raris mirisq[ue] Anni 1631. Phaenomenis, Veneris put`a& Mercurii in Solem incursu,2 the very first pre- dictions that a transit of Mercury will occur in November 1631, followed by a transit of Venus one month later. Kepler died a year before the events. 2. Isaac Newton’s Philosophiae naturalis principia mathematica, that layed down the theoretical basis for Kepler’s laws, was published in London in 1687.