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Mathématiques Et Espace
Atelier disciplinaire AD 5 Mathématiques et Espace Anne-Cécile DHERS, Education Nationale (mathématiques) Peggy THILLET, Education Nationale (mathématiques) Yann BARSAMIAN, Education Nationale (mathématiques) Olivier BONNETON, Sciences - U (mathématiques) Cahier d'activités Activité 1 : L'HORIZON TERRESTRE ET SPATIAL Activité 2 : DENOMBREMENT D'ETOILES DANS LE CIEL ET L'UNIVERS Activité 3 : D'HIPPARCOS A BENFORD Activité 4 : OBSERVATION STATISTIQUE DES CRATERES LUNAIRES Activité 5 : DIAMETRE DES CRATERES D'IMPACT Activité 6 : LOI DE TITIUS-BODE Activité 7 : MODELISER UNE CONSTELLATION EN 3D Crédits photo : NASA / CNES L'HORIZON TERRESTRE ET SPATIAL (3 ème / 2 nde ) __________________________________________________ OBJECTIF : Détermination de la ligne d'horizon à une altitude donnée. COMPETENCES : ● Utilisation du théorème de Pythagore ● Utilisation de Google Earth pour évaluer des distances à vol d'oiseau ● Recherche personnelle de données REALISATION : Il s'agit ici de mettre en application le théorème de Pythagore mais avec une vision terrestre dans un premier temps suite à un questionnement de l'élève puis dans un second temps de réutiliser la même démarche dans le cadre spatial de la visibilité d'un satellite. Fiche élève ____________________________________________________________________________ 1. Victor Hugo a écrit dans Les Châtiments : "Les horizons aux horizons succèdent […] : on avance toujours, on n’arrive jamais ". Face à la mer, vous voyez l'horizon à perte de vue. Mais "est-ce loin, l'horizon ?". D'après toi, jusqu'à quelle distance peux-tu voir si le temps est clair ? Réponse 1 : " Sans instrument, je peux voir jusqu'à .................. km " Réponse 2 : " Avec une paire de jumelles, je peux voir jusqu'à ............... km " 2. Nous allons maintenant calculer à l'aide du théorème de Pythagore la ligne d'horizon pour une hauteur H donnée. -
NEWSLETTER August 2015
NEWSLETTER August 2015 New Horizons at Pluto Credit NASA This space is reserved for promoting member's businesses. You can place an advert here for a donation to the group. Issue 11 August 2015 Page 1 Contents Cover 1 Contents 2 About the cover picture New Horizons 3-7 Thanet Astronomy Group Contact Details 8 Member's Meeting Dates and Times 9 Advertisement (West Bay Cafe) 10 What we did last month 11 Junior Members Page 12 Advertisement (Renaissance Glass) 13 Book Review 14 What's in the sky this month 15-17 Member's Page 18-19 Did You Know ? 20 Junior Astronomers Club (JAC & Gill) 21 Executive Committee Messages 22 Adult Word Search 23 Junior Word Search 24 Member's For Sale and Wanted 25 Issue 11 August 2015 Page 2 About the Cover Picture NEW HORIZONS New Horizons at Pluto Credit NASA New Horizons The Mission The New Horizons mission is the first mission to Pluto and the Kuiper Belt This mission has sent a space craft to the outer reaches of our Solar System to look at the dwarf planet Pluto, and beyond into the Kuiper Belt. The Kuiper Belt is the region of our Solar System beyond the orbit of the planet Neptune, about 30 Astronomical Units (AU) from the Sun and out to about 50 AU. This region contains the minor planet Pluto and its moons Charon, Hydra, Nix and Styx along with many comets, asteroids and many other small objects mostly made of ice. The Kuiper Belt - Credit: NASA Issue 11 August 2015 Page 3 About the Cover Picture NEW HORIZONS An AU or Astronomical Unit is equal to the distance between the Sun and the Earth about 93,000,000 miles or 150,000,000 km. -
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 -
Solar Writer Report for Abraham Lincoln
FIXED STARS A Solar Writer Report for Abraham Lincoln Written by Diana K Rosenberg Compliments of:- Stephanie Johnson Seeing With Stars Astrology PO Box 159 Stepney SA 5069 Australia Tel/Fax: +61 (08) 8331 3057 Email: [email protected] Web: www.esotech.com.au Page 2 Abraham Lincoln Natal Chart 12 Feb 1809 12:40:56 PM UT +0:00 near Hodgenville 37°N35' 085°W45' Tropical Placidus 22' 13° 08°ˆ ‡ 17' ¾ 06' À ¿É ‰ 03° ¼ 09° 00° 06° 09°06° ˆ ˆ ‡ † ‡ 25° 16' 41'08' 40' † 01' 09' Œ 29' ‰ 9 10 23° ¶ 8 27°‰ 11 Ï 27° 01' ‘ ‰02' á 7 12 ‘ áá 23° á 23° ¸ 23°Š27' á Š à „ 28' 28' 6 18' 1 10°‹ º ‹37' 13° 05' ‹ 5 Á 22° ½ 27' 2 4 01' Ü 3 07° Œ ƒ » 09' 23° 09° Ý Ü 06° 16' 06' Ê 00°ƒ 13° 22' Ý 17' 08°‚ Page 23 Astrological Summary Chart Point Positions: Abraham Lincoln Planet Sign Position House Comment The Moon Capricorn 27°Cp01' 12th The Sun Aquarius 23°Aq27' 12th read into 1st House Mercury Pisces 10°Pi18' 1st Venus Aries 7°Ar27' 1st read into 2nd House Mars Libra 25°Li29' 8th Jupiter Pisces 22°Pi05' 1st Saturn Sagittarius 3°Sg08' 9th read into 10th House Uranus Scorpio 9°Sc40' 8th Neptune Sagittarius 6°Sg41' 9th read into 10th House Pluto Pisces 13°Pi37' 1st The North Node Scorpio 6°Sc09' 8th The South Node Taurus 6°Ta09' 2nd The Ascendant Aquarius 23°Aq28' 1st The Midheaven Sagittarius 8°Sg22' 10th The Part of Fortune Capricorn 27°Cp02' 12th Chart Point Aspects Planet Aspect Planet Orb App/Sep The Moon Square Mars 1°32' Separating The Moon Conjunction The Part of Fortune 0°00' Applying The Sun Trine Mars 2°02' Applying The Sun Conjunction The Ascendant -
Gaia Data Release 2 Special Issue
A&A 623, A110 (2019) Astronomy https://doi.org/10.1051/0004-6361/201833304 & © ESO 2019 Astrophysics Gaia Data Release 2 Special issue Gaia Data Release 2 Variable stars in the colour-absolute magnitude diagram?,?? Gaia Collaboration, L. Eyer1, L. Rimoldini2, M. Audard1, R. I. Anderson3,1, K. Nienartowicz2, F. Glass1, O. Marchal4, M. Grenon1, N. Mowlavi1, B. Holl1, G. Clementini5, C. Aerts6,7, T. Mazeh8, D. W. Evans9, L. Szabados10, A. G. A. Brown11, A. Vallenari12, T. Prusti13, J. H. J. de Bruijne13, C. Babusiaux4,14, C. A. L. Bailer-Jones15, M. Biermann16, F. Jansen17, C. Jordi18, S. A. Klioner19, U. Lammers20, L. Lindegren21, X. Luri18, F. Mignard22, C. Panem23, D. Pourbaix24,25, S. Randich26, P. Sartoretti4, H. I. Siddiqui27, C. Soubiran28, F. van Leeuwen9, N. A. Walton9, F. Arenou4, U. Bastian16, M. Cropper29, R. Drimmel30, D. Katz4, M. G. Lattanzi30, J. Bakker20, C. Cacciari5, J. Castañeda18, L. Chaoul23, N. Cheek31, F. De Angeli9, C. Fabricius18, R. Guerra20, E. Masana18, R. Messineo32, P. Panuzzo4, J. Portell18, M. Riello9, G. M. Seabroke29, P. Tanga22, F. Thévenin22, G. Gracia-Abril33,16, G. Comoretto27, M. Garcia-Reinaldos20, D. Teyssier27, M. Altmann16,34, R. Andrae15, I. Bellas-Velidis35, K. Benson29, J. Berthier36, R. Blomme37, P. Burgess9, G. Busso9, B. Carry22,36, A. Cellino30, M. Clotet18, O. Creevey22, M. Davidson38, J. De Ridder6, L. Delchambre39, A. Dell’Oro26, C. Ducourant28, J. Fernández-Hernández40, M. Fouesneau15, Y. Frémat37, L. Galluccio22, M. García-Torres41, J. González-Núñez31,42, J. J. González-Vidal18, E. Gosset39,25, L. P. Guy2,43, J.-L. Halbwachs44, N. C. Hambly38, D. -
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 -
Gov Aker Telescope Operators Manual
Gov Aker Telescope Operators Manual Revised September 3, 2014 Craig Nance Director Mount Graham International Observatory Steward Observatory University of Arizona [email protected] Page 1 of 97 Governor Hunt Aker Governor Hunt Aker was born on Dec 24, 1917. “Gov Aker” served in the Army Air Corps during World War II. After the war he became an assistant football coach at Northern Arizona University and then was a teacher and coach at Safford High School during the 1950’s. He went on to become assistant superintendent of public instruction at the State capital in Phoenix. In 1964 he became the director of youth programs for the Secretary of the Interior. Later, starting in 1986 he served as the mayor of Safford and was a member of the Safford High School Scholarship and Educational Foundation. He passed away on June 30, 1993. His resting place is the Safford Cemetery. To those that knew him Gov Aker was known for his incredible dedication and commitment to Arizona, his sense of humor, his love of golf, and his love of the people he represented. Source: Various public records, including Congressional Record, 103rd Congress, Page S9053 Page 2 of 97 Introduction The Gov Aker telescope is a research-class telescope that is presently used primarily for public education. It is hoped that through this manual that the telescope enjoys a strong level of usage, as this is what benefits the telescope the most. Operators should not be hesitant to use the telescope, being mindful of a reasonable number of safety precautions that are highlighted in this manual. -
Desert Skies – July
Desert Skies Tucson Amateur Astronomy Association Volume LV, Number 7 July, 2009 Astro-imaging using a DSLR Public star parties Websites: Trips On The Internet Su- Constellation of the month per-Skyway TAAA Astronomy Complex Updates Desert Skies: July, 2009 2 Volume LV, Number 7 Cover Photo: Rik Hill created this image using a digital SLR camera. For more information, see the Websites: Trips On The Internet Super-Skyway article. TAAA Web Page: http://www.tucsonastronomy.org TAAA Phone Number: (520) 792-6414 Office/Position Name Phone E-mail Address President Ken Shaver 762-5094 [email protected] Vice President Keith Schlottman 290-5883 [email protected] Secretary Luke Scott 749-4867 [email protected] Treasurer Terri Lappin 977-1290 [email protected] Member-at-Large George Barber 822-2392 [email protected] Member-at-Large John Kalas 620-6502 [email protected] Member-at-Large Teresa Plymate 883-9113 [email protected] Past President Bill Lofquist 297-6653 [email protected] Chief Observer Dr. Mary Turner 743-3437 [email protected] AL Correspondent (ALCor) Nick de Mesa 797-6614 [email protected] Astro-Imaging SIG Steve Peterson 762-8211 [email protected] Astronomy Fundamentals SIG JD Metzger 760-8248 [email protected] Newsletter Editor George Barber 822-2392 [email protected] School Star Party Scheduling Coordinator Paul Moss 240-2084 [email protected] School Star -
Monthly Observer's Challenge
MONTHLY OBSERVER’S CHALLENGE Las Vegas Astronomical Society Compiled by: Roger Ivester, Boiling Springs, North Carolina & Fred Rayworth, Las Vegas, Nevada With special assistance from: Rob Lambert, Las Vegas, Nevada JULY 2016 Introduction The purpose of the Observer’s Challenge is to encourage the pursuit of visual observing. It’s open to everyone that’s interested, and if you’re able to contribute notes, and/or drawings, we’ll be happy to include them in our monthly summary. We also accept digital imaging. Visual astronomy depends on what’s seen through the eyepiece. Not only does it satisfy an innate curiosity, but it allows the visual observer to discover the beauty and the wonderment of the night sky. Before photography, all observations depended on what the astronomer saw in the eyepiece, and how they recorded their observations. This was done through notes and drawings, and that’s the tradition we’re stressing in the Observers Challenge. We’re not excluding those with an interest in astrophotography, either. Your images and notes are just as welcome. The hope is that you’ll read through these reports and become inspired to take more time at the eyepiece, study each object, and look for those subtle details that you might never have noticed before. M92 (NGC-6341) Globular Cluster In Hercules M92 is also known as NGC-6341. It’s a globular cluster located in Hercules. It was first discovered by Johann Elert Bode in 1777, but later independently discovered by Charles Messier on March 18, 1781. It shines at mag. 6.3 and lies approximately 27,000 light- years away. -
Basics of Astrophysics Revisited. I. Mass- Luminosity Relation for K, M and G Class Stars
Basics of astrophysics revisited. I. Mass- luminosity relation for K, M and G class stars Edgars Alksnis [email protected] Small volume statistics show, that luminosity of slow rotating stars is proportional to their angular momentums of rotation. Cause should be outside of standard solar model. Slow rotating giants and dim dwarfs are not out of „main sequence” in this concept. Predictive power of stellar mass-radius- equatorial rotation speed-luminosity relation has been offered to test in numerous examples. Keywords: mass-luminosity relation, stellar rotation, stellar mass prediction, stellar rotation prediction ...Such vibrations would proceed from deep inside the sun. They are a fast way of transporting large amounts of energy from the interior to the surface that is not envisioned in present theory.... They could stir up the material inside the sun, which current theory tends to see as well layered, and that could affect the fusion dynamics. If they come to be generally accepted, they will require a reworking of solar theory, and that carries in its train a reworking of stellar theory generally. These vibrations could reverberate throughout astronomy. (Science News, Vol. 115, April 21, 1979, p. 270). Actual expression for stellar mass-luminosity relation (fig.1) Fig.1 Stellar mass- luminosity relation. Credit: Ay20. L- luminosity, relative to the Sun, M- mass, relative to the Sun. remain empiric and in fact contain unresolvable contradiction: stellar luminosity basically is connected with their surface area (radius squared) but mass (radius in cube) appears as a factor which generate luminosity. That purely geometric difference had pressed astrophysicists to place several classes of stars outside of „main sequence” in the frame of their strange theoretic constructions. -
Extrasolar Planets and Their Host Stars
Kaspar von Braun & Tabetha S. Boyajian Extrasolar Planets and Their Host Stars July 25, 2017 arXiv:1707.07405v1 [astro-ph.EP] 24 Jul 2017 Springer Preface In astronomy or indeed any collaborative environment, it pays to figure out with whom one can work well. From existing projects or simply conversations, research ideas appear, are developed, take shape, sometimes take a detour into some un- expected directions, often need to be refocused, are sometimes divided up and/or distributed among collaborators, and are (hopefully) published. After a number of these cycles repeat, something bigger may be born, all of which one then tries to simultaneously fit into one’s head for what feels like a challenging amount of time. That was certainly the case a long time ago when writing a PhD dissertation. Since then, there have been postdoctoral fellowships and appointments, permanent and adjunct positions, and former, current, and future collaborators. And yet, con- versations spawn research ideas, which take many different turns and may divide up into a multitude of approaches or related or perhaps unrelated subjects. Again, one had better figure out with whom one likes to work. And again, in the process of writing this Brief, one needs create something bigger by focusing the relevant pieces of work into one (hopefully) coherent manuscript. It is an honor, a privi- lege, an amazing experience, and simply a lot of fun to be and have been working with all the people who have had an influence on our work and thereby on this book. To quote the late and great Jim Croce: ”If you dig it, do it. -
Theory of Stellar Atmospheres
© Copyright, Princeton University Press. No part of this book may be distributed, posted, or reproduced in any form by digital or mechanical means without prior written permission of the publisher. EXTENDED BIBLIOGRAPHY References [1] D. Abbott. The terminal velocities of stellar winds from early{type stars. Astrophys. J., 225, 893, 1978. [2] D. Abbott. The theory of radiatively driven stellar winds. I. A physical interpretation. Astrophys. J., 242, 1183, 1980. [3] D. Abbott. The theory of radiatively driven stellar winds. II. The line acceleration. Astrophys. J., 259, 282, 1982. [4] D. Abbott. The theory of radiation driven stellar winds and the Wolf{ Rayet phenomenon. In de Loore and Willis [938], page 185. Astrophys. J., 259, 282, 1982. [5] D. Abbott. Current problems of line formation in early{type stars. In Beckman and Crivellari [358], page 279. [6] D. Abbott and P. Conti. Wolf{Rayet stars. Ann. Rev. Astr. Astrophys., 25, 113, 1987. [7] D. Abbott and D. Hummer. Photospheres of hot stars. I. Wind blan- keted model atmospheres. Astrophys. J., 294, 286, 1985. [8] D. Abbott and L. Lucy. Multiline transfer and the dynamics of stellar winds. Astrophys. J., 288, 679, 1985. [9] D. Abbott, C. Telesco, and S. Wolff. 2 to 20 micron observations of mass loss from early{type stars. Astrophys. J., 279, 225, 1984. [10] C. Abia, B. Rebolo, J. Beckman, and L. Crivellari. Abundances of light metals and N I in a sample of disc stars. Astr. Astrophys., 206, 100, 1988. [11] M. Abramowitz and I. Stegun. Handbook of Mathematical Functions. (Washington, DC: U.S. Government Printing Office), 1972.