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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. -
SEPTEMBER 2014 OT H E D Ebn V E R S E R V ESEPTEMBERR 2014
THE DENVER OBSERVER SEPTEMBER 2014 OT h e D eBn v e r S E R V ESEPTEMBERR 2014 FROM THE INSIDE LOOKING OUT Calendar Taken on July 25th in San Luis State Park near the Great Sand Dunes in Colorado, Jeff made this image of the Milky Way during an overnight camping stop on the way to Santa Fe, NM. It was taken with a Canon 2............................. First quarter moon 60D camera, an EFS 15-85 lens, using an iOptron SkyTracker. It is a single frame, with no stacking or dark/ 8.......................................... Full moon bias frames, at ISO 1600 for two minutes. Visible in this south-facing photograph is Sagittarius, and the 14............ Aldebaran 1.4˚ south of moon Dark Horse Nebula inside of the Milky Way. He processed the image in Adobe Lightroom. Image © Jeff Tropeano 15............................ Last quarter moon 22........................... Autumnal Equinox 24........................................ New moon Inside the Observer SEPTEMBER SKIES by Dennis Cochran ygnus the Swan dives onto center stage this other famous deep-sky object is the Veil Nebula, President’s Message....................... 2 C month, almost overhead. Leading the descent also known as the Cygnus Loop, a supernova rem- is the nose of the swan, the star known as nant so large that its separate arcs were known Society Directory.......................... 2 Albireo, a beautiful multi-colored double. One and named before it was found to be one wide Schedule of Events......................... 2 wonders if Albireo has any planets from which to wisp that came out of a single star. The Veil is see the pair up-close. -
Obdelava Slik
PROJEKTNA NALOGA ASTRONOMIJA Magnituda Rimske ceste Avtorji: Matic Ocepek Jernej Cucek Goran Bezjak Bernard Pavlovič Nikola Milijevski Mentor: prof. dr. Andrej Čadež Fakulteta za matematiko in fiziko, 2010 Projektna naloga astronomija: Magnituda Rimske ceste KAZALO UVOD ........................................................................................................................................ 3 KAKO DO FOTOGRAFIJ IN KAJ Z NJIMI ............................................................................ 4 IZPELJAVA ENAČBE .............................................................................................................. 5 IZRAČUNI IN REZULTATI..................................................................................................... 9 NAPAKE .................................................................................................................................. 15 ZAKLJUČEK ........................................................................................................................... 17 VIRI .......................................................................................................................................... 18 2 Projektna naloga astronomija: Magnituda Rimske ceste UVOD Rimska ali Mlečna cesta je megličast pas bele svetlobe sestavljen iz okoli 200 milijard zvezd, ki je ob jasnih nočeh viden na nočnem nebu in se vije po celotni nebesni sferi. Sestavljajo jo zvezde, zvezdni prah in plini v galaktični ravnini, ki je glede na nebesni ekvator nagnjena okoli 63 stopinj -
Arxiv:2006.10868V2 [Astro-Ph.SR] 9 Apr 2021 Spain and Institut D’Estudis Espacials De Catalunya (IEEC), C/Gran Capit`A2-4, E-08034 2 Serenelli, Weiss, Aerts Et Al
Noname manuscript No. (will be inserted by the editor) Weighing stars from birth to death: mass determination methods across the HRD Aldo Serenelli · Achim Weiss · Conny Aerts · George C. Angelou · David Baroch · Nate Bastian · Paul G. Beck · Maria Bergemann · Joachim M. Bestenlehner · Ian Czekala · Nancy Elias-Rosa · Ana Escorza · Vincent Van Eylen · Diane K. Feuillet · Davide Gandolfi · Mark Gieles · L´eoGirardi · Yveline Lebreton · Nicolas Lodieu · Marie Martig · Marcelo M. Miller Bertolami · Joey S.G. Mombarg · Juan Carlos Morales · Andr´esMoya · Benard Nsamba · KreˇsimirPavlovski · May G. Pedersen · Ignasi Ribas · Fabian R.N. Schneider · Victor Silva Aguirre · Keivan G. Stassun · Eline Tolstoy · Pier-Emmanuel Tremblay · Konstanze Zwintz Received: date / Accepted: date A. Serenelli Institute of Space Sciences (ICE, CSIC), Carrer de Can Magrans S/N, Bellaterra, E- 08193, Spain and Institut d'Estudis Espacials de Catalunya (IEEC), Carrer Gran Capita 2, Barcelona, E-08034, Spain E-mail: [email protected] A. Weiss Max Planck Institute for Astrophysics, Karl Schwarzschild Str. 1, Garching bei M¨unchen, D-85741, Germany C. Aerts Institute of Astronomy, Department of Physics & Astronomy, KU Leuven, Celestijnenlaan 200 D, 3001 Leuven, Belgium and Department of Astrophysics, IMAPP, Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, the Netherlands G.C. Angelou Max Planck Institute for Astrophysics, Karl Schwarzschild Str. 1, Garching bei M¨unchen, D-85741, Germany D. Baroch J. C. Morales I. Ribas Institute of· Space Sciences· (ICE, CSIC), Carrer de Can Magrans S/N, Bellaterra, E-08193, arXiv:2006.10868v2 [astro-ph.SR] 9 Apr 2021 Spain and Institut d'Estudis Espacials de Catalunya (IEEC), C/Gran Capit`a2-4, E-08034 2 Serenelli, Weiss, Aerts et al. -
Homework 6 – Stellar Physics 1. Cygnus X-1 Is an X-Ray Source In
Homework 6 – Stellar Physics 1. Cygnus X-1 is an x-ray source in the constellation Cygnus that astrophysicists believe is a black hole. An artist’s impression is shown in Figure 1A. Figure 1A The mass of the black hole has been determined to be 14∙8 solar masses. (a) (i) State what is meant by the Schwarzschild radius of a black hole. (ii) Calculate the Schwarzchild radius of the black hole in Cygnus X-1. (b) The Hertzsprung-Russell (H-R) diagram shown in Figure 1B shows the relationship between luminosity and surface temperature of stars. Figure 1B Zeta Cygni B and Chi Cygni are two stars in the constellation Cygnus. They are shown on the H-R diagram. Chi Cygni is more luminous than Zeta Cygni B. Describe two other differences between these stars. (c) Another star, Aldebaran B, is a distance of 6∙16 x 1017 m from the Earth. The luminosity of Aldebaran B is 2∙32 x 1025 W and its temperature is determined to be 3∙4 x 103 K. (i) Calculate the radius of Aldebaran B. (ii) Calculate the apparent brightness of Aldebaran B as observed from Earth. 1 2. Hertzsprung-Russell (H-R) diagrams are widely used by physicists and astronomers to categorise stars. Figure 2A shows a simplified H-R diagram. Figure 2A (a) State what class of star Sirius B is. (b) Estimate the radius of Betelgeuse. (c) Ross 128 and Barnard’s Star have a similar temperature but Barnard’s Star has a slightly greater luminosity. Determine what other information this tells you about the two stars. -
The Journal of the Association of Lunar and Planetary Observers ?:Ftc Strolling Astronomer
The Journal Of The Association Of Lunar And Planetary Observers ?:ftc Strolling Astronomer 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 Volume 29, Numbers 7-8 Published August, 1982 Classical Mars chart by G. V. Schiaparelli from Memoria Sesta, Roma, 1899. Note the very dark RIMA TENUIS (thin or fine fissure) dividing the North Polar Cap into two unequal parts along the 150° W - 325° W areographic meridians. Discovered by Schiaparelli during the Martian northern late spring in 1888, RIMA TENUIS was last well observed by M. Maggini in 1918. It unexpectedly appeared again across the North Polar Cap before the Martian northern summer solstice in February, 1980, when it was photographed for the first time by Mars observers in the ALPO. Contributed by Mars Recorder Charles F. Capen. 1111111111111111111111111111111111111111111111::- THE STROLLING ASTRONOMER - Box 3AZ - University Park, New Mexico - 88003 - Residence telephone 522-4213 (Area Code 505) ::- in Las Cruces, New Mexico - Founded In 1947 - IN THIS ISSUE OBSERVING MARS X-REPORTING MARS OBSERVATIONS, by C. F. Capen ................................................... pg. 133 MARS OBSERVING AIDS - BOOKS, KITS, GRAPHS, AND CHARTS, by C. F. Capen ................................................... pg. 138 POSSIBLE LONG TERM CHANGES IN THE EQUATORIAL ZONE OF JUPITER, by Randy Tatum .................................................. pg. 141 SOME EUROPEAN VISUAL OBSERVATIONS OF SATURN IN 1981, by G. Adamoli ................................................... -
Binocular Certificate Handbook
Irish Federation of Astronomical Societies Binocular Certificate Handbook How to see 110 extraordinary celestial sights with an ordinary pair of binoculars © John Flannery, South Dublin Astronomical Society, August 2004 No ordinary binoculars! This photograph by the author is of the delightfully whimsical frontage of the Chiat/Day advertising agency building on Main Street, Venice, California. Binocular Certificate Handbook page 1 IFAS — www.irishastronomy.org Introduction HETHER NEW to the hobby or advanced am- Wateur astronomer you probably already own Binocular Certificate Handbook a pair of a binoculars, the ideal instrument to casu- ally explore the wonders of the Universe at any time. Name _____________________________ Address _____________________________ The handbook you hold in your hands is an intro- duction to the realm far beyond the Solar System — _____________________________ what amateur astronomers call the “deep sky”. This is the abode of galaxies, nebulae, and stars in many _____________________________ guises. It is here that we set sail from Earth and are Telephone _____________________________ transported across many light years of space to the wonderful and the exotic; dense glowing clouds of E-mail _____________________________ gas where new suns are being born, star-studded sec- tions of the Milky Way, and the ghostly light of far- Observing beginner/intermediate/advanced flung galaxies — all are within the grasp of an ordi- experience (please circle one of the above) nary pair of binoculars. Equipment __________________________________ True, the fixed magnification of (most) binocu- IFAS club __________________________________ lars will not allow you get the detail provided by telescopes but their wide field of view is perfect for NOTES: Details will be treated in strictest confidence. -
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. -
Catálogo Messier Para Observaciones De Cielo Profundo
Catálogo Messier para observaciones de Cielo Profundo ÍNDICE M1 ………………………………………….…3 M28 ……………………………………….38 M2 ……………………………………….…....5 M29 ……………………………………….39 M3 …………………………………………….7 M30 ……………………………………….40 M4 …..………………………………………...9 M31 ……………………………………….41 M5 …..………………………………………..11 M32 ……………………………………….44 M6 …..…………………….………………….13 M33 ……………………………………….46 M7 …..……………………….……………….14 M34 ……………………………………….47 M8 …..………………………….…………….15 M35 ……………………………………….48 M9 …..…………………………….………….16 M36 ……………………………………….50 M10 ….……………………………………….18 M37 ……………………………………….51 M11 ….……………………………………….19 M38 ……………………………………….52 M12 ….……………………………………….20 M39 ……………………………………….53 M13 ….……………………………………….21 M40 ……………………………………….54 M14 ….……………………………………..…22 M41 ……………………………………….55 M15 ….………………………………………..24 M42 ……………………………………….56 M16 ….…………………………………….….26 M43 ……………………………………….58 M17 ….………………………………….….…27 M44 ……………………………………….59 M18 ….………………………………….….…28 M45 ……………………………………….60 M19 ….……………………………………..…29 M46 ……………………………………….63 M20 ….…………………………………….….30 M47 ……………………………………….64 M21 ….…………………………………….….31 M48 ……………………………………….65 M22 ….………………………………….….…32 M49 ……………………………………….66 M23 ….………………………………….….…33 M50 ……………………………………….67 M24 ….………………………………….….…34 M51 ……………………………………….68 M25 ….………………………………….….…35 M52 ……………………………………….69 M26 ….………………………………….….…36 M53 ……………………………………….70 M27 ….……………………………………..…37 M54 ……………………………………….71 1 Catálogo Messier para observaciones de Cielo Profundo M55 …………………………………………....72 M85 ………………………………….………109 M56 ……………………………………………73 M86 ………………………………….………110 M57 ……………………………………………74 M87 ………………………………….………111 -
E F L E C T I O N S
f a l l . q u a r t e r / s e p t e m b e r . 2 0 1 7 r e f l e c t i o n s t h e u n i v e r s e e x p a n d e d h e r e The Diffraction Gratings Laboratory by robert anderson “Engines” capable of ruling hundreds of thousands of straight, parallel, equally spaced grooves within tolerances of only a few angstroms have led to advances in fields as different as quantum mechanics and astrophys- ics. — From the introduction to “Diffraction Gratings at the Mount Wilson Observatory” by H. W. Babcock, Physics Today, July 1986. In the subbasement of the Mount Wilson Observatory offices in Pasa- dena (now headquarters of Carnegie Observatories) rest two marvels of 20th-century technology: Ruling Engine “A” and Ruling Engine “B.” Astronomer Allan Sandage compared the two machines to Egyp- tian sarcophagi hidden away and preserved in separate burial cham- bers. A bank calendar on the wall, frozen on March 1964, records when the operators set down their tools and oil cans for the last time. Built with the highest precision available at the time, the machines’ a number of gratings, protected in their cases, are now retired and stored near sole purpose was to lightly draw a diamond across a reflective metal the machines that made them at the Carnegie Observatories in Pasadena. plate about a half-foot square, making a hundred thousand or more perfectly parallel grooves. The result was a diffraction grating, an opti- cal importance of diffraction gratings to spectroscopy, a subject that cal surface that, like a prism, spreads light into all its wavelengths for was already the focus of his tremendous ability and ambition. -
Study of Magnetic Fields in Massive Stars and Intermediate-Mass Stars Aurore Blazère
Study of magnetic fields in massive stars and intermediate-mass stars Aurore Blazère To cite this version: Aurore Blazère. Study of magnetic fields in massive stars and intermediate-mass stars. Astrophysics [astro-ph]. Université Paris sciences et lettres, 2016. English. NNT : 2016PSLEO009. tel-01484821 HAL Id: tel-01484821 https://tel.archives-ouvertes.fr/tel-01484821 Submitted on 7 Mar 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. THÈSE DE DOCTORAT de l’Université de recherche Paris Sciences et Lettres PSL Research University Préparée à l’Observatoire de Paris Weak magnetic fields in massive and intermediate-mass stars Ecole doctorale n°127 Astronomie et Astrophysique d'Île-de-France COMPOSITION DU JURY : Spécialité ASTROPHYSIQUE Mme STEHLE Chantal LERMA, Présidente du jury M. MATHYS Gautier ESO, Rapporteur M. RICHARD Olivier LUPM, Rapporteur Mme. NEINER Coralie LESIA, Directrice de thèse M. PETIT Pascal IRAP, Directeur de thèse M. ALECIAN Georges Soutenue par Aurore BLAZÈRE LUTH, Examinateur le 07 10 2016 h M. LANDSTREET John University of Western Ontario Examinateur Dirigée par Coralie NEINER (LESIA) Pascal PETIT (IRAP) M. HENRICHS Huib Anton Pannekoek Institute for Astronomy, Examinateur M. -
Science. Mechanics. "]
A JOURNAL OF INFORMATION. ART. CHEMISTRY MANUFACTURES. WEEKTJY PRACTICAL SCIENCE. MECHANICS. AND Vol. XLIV.-No. 5. �"lIntlm. [NEW SERIES.] "] NEW YORK, JANUARY 29,1881. [:;l3e20[POSTAGEper PREPAID. 1 AN IMPROVED MOUNTAIN RAILWAY SYSTEM. places. A distinguished engineer, M. L. Edoux, has can· I render it interesting to our readers. The illustrations have The construction, maintenance" and operation SCIENTIFIC AMERICAN of moun· ceived a project which is based upon the application of a been specially arranged for the from tain railways have long occupied the attention of engineers. system of hydraulic elevators to the lifting of cars to any I tbe author's plans. elevations, and sectional views. Many methods of climbing steep inclines Bod of rounding heigh t. This system may be applied to great advantage, I The particular railway under consideration is intended to curves of small radius have been proposed, and several of when an abundance of water under bigh pressure is avail- establish communication between Cauterets and the haths of these methods have been reduced to actual practice. The able. These conditions will be frequently met in a moun- La Raill.ere,France. Cauterets is situated in a narrow valley, systems of Fell and Riggenbach are very well known, and tainous country. Although this project has not yet been at an elevation of more than 900 meters. It is a noted water· the ancient system of rope tramways is in use iu many realized it seems to possess sufficient merit and novelty to [Continued page 66.] I on IMPROVED SYSTEM FOR MOUNTAIN RAILWAYS. © 1881 SCIENTIFIC AMERICAN, INC titutifit !mttitIU.