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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. -
Durham E-Theses
Durham E-Theses First visibility of the lunar crescent and other problems in historical astronomy. Fatoohi, Louay J. How to cite: Fatoohi, Louay J. (1998) First visibility of the lunar crescent and other problems in historical astronomy., Durham theses, Durham University. Available at Durham E-Theses Online: http://etheses.dur.ac.uk/996/ Use policy The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in Durham E-Theses • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders. Please consult the full Durham E-Theses policy for further details. Academic Support Oce, Durham University, University Oce, Old Elvet, Durham DH1 3HP e-mail: [email protected] Tel: +44 0191 334 6107 http://etheses.dur.ac.uk me91 In the name of Allah, the Gracious, the Merciful >° 9 43'' 0' eji e' e e> igo4 U61 J CO J: lic 6..ý v Lo ý , ý.,, "ý J ýs ýºý. ur ý,r11 Lýi is' ý9r ZU LZJE rju No disaster can befall on the earth or in your souls but it is in a book before We bring it into being; that is easy for Allah. In order that you may not grieve for what has escaped you, nor be exultant at what He has given you; and Allah does not love any prideful boaster. -
Sky Highlights for 2021
JANUARY 2021 OBSERVING Celestial Calendar by Bob King Sky Highlights for 2021 Courtesy of Sky & Telescope Sky Highlights for 2021 A full year of observing enjoyment awaits. F or our January Celestial Calendar installment, we’ve decided to pres- The limb of the eclipsed ent a “sneak-peek” selection of some of the most interesting celestial Moon pokes out from highlights for 2021. (Each event will be described in greater detail in upcoming issues.) the umbra in this photo The coming year has its share of excitement, with several fi ne eclipses, captured during the the return of a few modestly bright periodic comets, and the usual April 15, 2014, total assortment of meteor showers and eye-catching conjunctions. lunar eclipse. This view January 3: The Quadrantid meteor shower peaks around 6:30 a.m. PST is similar to how the (14:30 UT). The timing of the peak means the display favors skywatchers Moon will appear at on the West Coast and in Alaska. Unfortunately, light from the waning gibbous Moon in Leo will blot out many of the fainter meteors. maximum eclipse during March 4: Vesta, the brightest and second-most massive asteroid, reaches November’s partial lunar opposition 1¼° northeast of 3.3-magnitude Theta Leonis, in the tail of eclipse. Leo. At magnitude 6.0, Vesta is bright enough to be glimpsed by keen- eyed observers without optical aid from a dark sky. Binoculars will make the asteroid an easy catch. KING BOB Page 1 March 5: Mercury and Jupiter are though many other locations will be just 21′ apart, low in the east-southeast able to see at least part of the event. -
Apparent and Absolute Magnitudes of Stars: a Simple Formula
Available online at www.worldscientificnews.com WSN 96 (2018) 120-133 EISSN 2392-2192 Apparent and Absolute Magnitudes of Stars: A Simple Formula Dulli Chandra Agrawal Department of Farm Engineering, Institute of Agricultural Sciences, Banaras Hindu University, Varanasi - 221005, India E-mail address: [email protected] ABSTRACT An empirical formula for estimating the apparent and absolute magnitudes of stars in terms of the parameters radius, distance and temperature is proposed for the first time for the benefit of the students. This reproduces successfully not only the magnitudes of solo stars having spherical shape and uniform photosphere temperature but the corresponding Hertzsprung-Russell plot demonstrates the main sequence, giants, super-giants and white dwarf classification also. Keywords: Stars, apparent magnitude, absolute magnitude, empirical formula, Hertzsprung-Russell diagram 1. INTRODUCTION The visible brightness of a star is expressed in terms of its apparent magnitude [1] as well as absolute magnitude [2]; the absolute magnitude is in fact the apparent magnitude while it is observed from a distance of . The apparent magnitude of a celestial object having flux in the visible band is expressed as [1, 3, 4] ( ) (1) ( Received 14 March 2018; Accepted 31 March 2018; Date of Publication 01 April 2018 ) World Scientific News 96 (2018) 120-133 Here is the reference luminous flux per unit area in the same band such as that of star Vega having apparent magnitude almost zero. Here the flux is the magnitude of starlight the Earth intercepts in a direction normal to the incidence over an area of one square meter. The condition that the Earth intercepts in the direction normal to the incidence is normally fulfilled for stars which are far away from the Earth. -
Science Behind the Art Andrea Ojeda Course: Earth Science 101
Science behind the Art Andrea Ojeda Course: Earth Science 101 Instructor: Mr. Bruce Sherman Assignment: Comparative Essay Is there a relation between science and art? The two worlds are so far apart, and yet, can one exist without the other? Although many broad topics in science and art seem to be interrelated, research and history proves that the two go hand-in-hand on a more specific basis. The genius of artists such as Brunelleschi and DaVinci can be compared to scientists like Galileo and Einstein. All four men seemed to be ahead of the curve in thought and creativity. Filippo Brunelleschi “used systems of proportion that were based on the sixteenth century writings of mathematician Pythagoras” (Hartt 167). In the same manner, the scientist Galileo unlocked many of the secrets of astronomy and natural motion. While Leonardo DaVinci painted the famed Mona Lisa, he also made discoveries in meteorology, learned the effect of the moon on the tides, and foreshadowed modern conceptions of continent formation. Although these comparisons are quite vague, there are more meticulous comparisons of art and science. Meteorology and astronomy play an epic role in the natural works of artist Charles E. Burchfield and the effects of the climate on artist Aert van der Neer during the Maunder Minimum. Many artists have used the night sky and its stars to enhance the feeling of their compositions. Van Gogh used radiant swirls to portray the light and feeling the stars conveyed in his Starry Night. Nonetheless, being that these celestial objects are so tiny and seemingly insignificant to the finished piece, most artists do not choose to emulate in depth the actual stars and their real location in the sky. -
GTO Keypad Manual, V5.001
ASTRO-PHYSICS GTO KEYPAD Version v5.xxx Please read the manual even if you are familiar with previous keypad versions Flash RAM Updates Keypad Java updates can be accomplished through the Internet. Check our web site www.astro-physics.com/software-updates/ November 11, 2020 ASTRO-PHYSICS KEYPAD MANUAL FOR MACH2GTO Version 5.xxx November 11, 2020 ABOUT THIS MANUAL 4 REQUIREMENTS 5 What Mount Control Box Do I Need? 5 Can I Upgrade My Present Keypad? 5 GTO KEYPAD 6 Layout and Buttons of the Keypad 6 Vacuum Fluorescent Display 6 N-S-E-W Directional Buttons 6 STOP Button 6 <PREV and NEXT> Buttons 7 Number Buttons 7 GOTO Button 7 ± Button 7 MENU / ESC Button 7 RECAL and NEXT> Buttons Pressed Simultaneously 7 ENT Button 7 Retractable Hanger 7 Keypad Protector 8 Keypad Care and Warranty 8 Warranty 8 Keypad Battery for 512K Memory Boards 8 Cleaning Red Keypad Display 8 Temperature Ratings 8 Environmental Recommendation 8 GETTING STARTED – DO THIS AT HOME, IF POSSIBLE 9 Set Up your Mount and Cable Connections 9 Gather Basic Information 9 Enter Your Location, Time and Date 9 Set Up Your Mount in the Field 10 Polar Alignment 10 Mach2GTO Daytime Alignment Routine 10 KEYPAD START UP SEQUENCE FOR NEW SETUPS OR SETUP IN NEW LOCATION 11 Assemble Your Mount 11 Startup Sequence 11 Location 11 Select Existing Location 11 Set Up New Location 11 Date and Time 12 Additional Information 12 KEYPAD START UP SEQUENCE FOR MOUNTS USED AT THE SAME LOCATION WITHOUT A COMPUTER 13 KEYPAD START UP SEQUENCE FOR COMPUTER CONTROLLED MOUNTS 14 1 OBJECTS MENU – HAVE SOME FUN! -
The Fifth Level of Learning: the Vedic Gods
The Wes Penre Papers || The Fifth Level of Learning The Vedic Texts The Wes Penre Papers: The Vedic Texts The Fifth Level of Learning Part 2 by Wes Penre The Wes Penre Papers || The Fifth Level of Learning The Vedic Texts Copyright © 2014-2015 Wes Penre All rights reserved. This is an electronic paper free of charge, which can be downloaded, quoted from, and copied to be shared with other people, as long as nothing in this paper is altered or quoted out of context. Not for commercial use. Editing provided by Bob Stannard: www.twilocity.com 1st Edition, February 27, 2015 Wes Penre Productions Oregon, USA The Wes Penre Papers || The Fifth Level of Learning The Vedic Texts Table of Contents PAPER 10: THE NAKSHATRAS—THE GOD AND THEIR STAR SYSTEMS ...... 6 I. The Nakshatras or Lunar Mansions ...................................................................... 6 II. Star Systems and Constellations in Domain of the Orion Empire ...................... 9 ii.i. The Orion Empire in the Vedas ....................................................................... 17 III. Domains Conquered by the AIF with Marduk in Charge ................................ 20 IV. Star Systems and Constellations under En.ki’s Control .................................. 40 V. Asterism Ruled by Queen Ereškigal ................................................................. 61 PAPER 11: DISCUSSING STAR SYSTEMS NOT MENTIONED IN THE NAKSHATRAS ........................................................................................................... 65 I. Introduction -
Supernova Star Maps
Supernova Star Maps Which Stars in the Night Sky Will Go Su pernova? About the Activity Allow visitors to experience finding stars in the night sky that will eventually go supernova. Topics Covered Observation of stars that will one day go supernova Materials Needed • Copies of this month's Star Map for your visitors- print the Supernova Information Sheet on the back. • (Optional) Telescopes A S A Participants N t i d Activities are appropriate for families Cre with children over the age of 9, the general public, and school groups ages 9 and up. Any number of visitors may participate. Location and Timing This activity is perfect for a star party outdoors and can take a few minutes, up to 20 minutes, depending on the Included in This Packet Page length of the discussion about the Detailed Activity Description 2 questions on the Supernova Helpful Hints 5 Information Sheet. Discussion can start Supernova Information Sheet 6 while it is still light. Star Maps handouts 7 Background Information There is an Excel spreadsheet on the Supernova Star Maps Resource Page that lists all these stars with all their particulars. Search for Supernova Star Maps here: http://nightsky.jpl.nasa.gov/download-search.cfm © 2008 Astronomical Society of the Pacific www.astrosociety.org Copies for educational purposes are permitted. Additional astronomy activities can be found here: http://nightsky.jpl.nasa.gov Star Maps: Stars likely to go Supernova! Leader’s Role Participants’ Role (Anticipated) Materials: Star Map with Supernova Information sheet on back Objective: Allow visitors to experience finding stars in the night sky that will eventually go supernova. -
Korotangi (The Dove)
Korotangi (The Dove) The legend of the korotangi is that it came in the Tainui waka as one of the heirlooms which had been blessed by the high priests in Hawaiiki and which in the new country, would ensure good hunting for the tribe. It was said that the Kawhia and Waikato tribes, who descended from Tainui stock, took the korotangi into battle with them, setting it up on a hill and consulting it as an oracle. The "korotangi" can mean "to roar and rush as the sound of water" in either Maori, Hawaiian or Samoan has been used to support the legend that it was bought on the Tainui waka from afar. The expression “Korotangi” is still used as a term of endearment, or as a simile for any object treasured or loved. A mother lamenting the death of a child will, in her lament, refer to her lost one as her “Korotangi.” 1 No doubt the simile has its origin in the above tradition, which also seems to be a fea- sible explanation of the waiata. It certainly explains the reference to the eat- ing of the pohata leaves and the huahua from Rotorua, as well as the allu- sion to the taumata (hill-top or ridge). The Korotangi, Tawhio Throne, and the art work depicting The Lost Child TeManawa and Korotangi, arrived at Turangawaewae Marae on the same day. The Heart of Heaven is in part the sharing of the walk of TeManawa who lives these things, has fulfilled prophesy. Her journey has been documented since 1992 to current. -
BRITE Constellation – Case Study
BRITE Constellation – A Case Study Otto Koudelka Graz University of Technology [email protected] Professor Horst Cerjak, 19.12.2005 BRITE 2014 1 BRITE (BRIght Target Explorer) • First nanosatellite constellation dedicated to an astronomy mission (astereoseismology) • 5 spacecraft operational in Space • Austria (BRITE-Austria/TUGSAT-1 & UniBRITE) • Poland (BRITE-PL1 „Lem“ & BRITE-PL2 „Heveliusz“) • Canada (BRITE-CAN1 „Toronto“) Professor Horst Cerjak, 19.12.2005 BRITE 2014 3 Scientific Goals • Photometric measurement of brightness and temperature variations of massive luminous stars (up to visual magnitude 4) • Fastest data cadence: few minutes • Time base: up to 2 years • high duty cycle • 2-colour (blue and red) • 24° field of view • Deliberately defocused Professor Horst Cerjak, 19.12.2005 BRITE 2014 4 BRITE Flight Model magnetometer S-band antenna solar cells Size: 20 x 20 x 20 cm Mass: 6.8 kg telescope Power: 6…10 W star tracker Professor Horst Cerjak, 19.12.2005 BRITE 2014 5 Attitude Control System Precise alignment of camera to target stars 3 miniature momentum wheels, magnetorquer, sun sensors, magnetometer, star sensor and attitude control computer provide alignment at arc minute level Professor Horst Cerjak, 19.12.2005 BRITE 2014 6 Communications System Frequencies – UHF: command uplink (amateur radio) – Science S-Band: science and telemetry data downlink Data rates: – Downlin: 32 - 256 kbit/s – Uplink: 9.6 kbit/s Data volume / day: ~ 20 Megabyte (spec: 2 MB) Transmitter S-Band antennas Professor Horst Cerjak, 19.12.2005 BRITE -
Fixed Stars Report
FIXED STARS A Solar Writer Report for Andy Gibb Written by Diana K Rosenberg Compliments of:- Cornerstone Astrology http://www.cornerstone-astrology.com/astrology-shop/ Table of Contents · Chart Wheel · Introduction · Fixed Stars · The Tropical And Sidereal Zodiacs · About this Report · Abbreviations · Sources · Your Starsets · Conclusion http://www.cornerstone-astrology.com/astrology-shop/ Page 1 Chart Wheel Andy Gibb 49' 44' 29°‡ Male 18°ˆ 00° 5 Mar 1958 22' À ‡ 6:30 am UT +0:00 ‰ ¾ ɽ 44' Manchester 05° 04°02° 24° 01° ‡ ‡ 53°N30' 46' ˆ ‡ 33'16' 002°W15' ‰ 56' Œ 10' Tropical ¼ Œ Œ 24° 21° 9 8 Placidus ‰ 10 » 13' 04° 11 Š ‘‘ 42' 7 ’ ¶ á ’ …07° 12 ” 05' ” ‘ 06° Ï 29° 29' … 29° Œ45' … 00° Á àà Š à „ 24' ‘ 24' 11' á 6 14°‹ á ¸ 28' Œ14' 15°‹ 1 “ „08° º 5 ¿ 4 2 3 Œ 46' 16' ƒ Ý 24° 02° 22' Ê ƒ 00° 05° Ý 44' 44' 18°‚ 29°Ý 49' http://www.cornerstone-astrology.com/astrology-shop/ Page 2 Astrological Summary Chart Point Positions: Andy Gibb Planet Sign Position House Comment The Moon Virgo 7°Vi05' 7th The Sun Pisces 14°Pi11' 1st Mercury Pisces 15°Pi28' 1st Venus Aquarius 4°Aq42' 12th Mars Capricorn 21°Cp13' 11th Jupiter Scorpio 1°Sc10' 8th Saturn Sagittarius 24°Sg56' 10th Uranus Leo 8°Le14' 6th Neptune Scorpio 4°Sc33' 8th Pluto Virgo 0°Vi45' 7th The North Node Scorpio 2°Sc16' 8th The South Node Taurus 2°Ta16' 2nd The Ascendant Aquarius 29°Aq24' 1st The Midheaven Sagittarius 18°Sg44' 10th The Part of Fortune Virgo 6°Vi29' 7th http://www.cornerstone-astrology.com/astrology-shop/ Page 3 Chart Point Aspects Planet Aspect Planet Orb App/Sep The Moon -
Aerodynamic Phenomena in Stellar Atmospheres, a Bibliography
- PB 151389 knical rlote 91c. 30 Moulder laboratories AERODYNAMIC PHENOMENA STELLAR ATMOSPHERES -A BIBLIOGRAPHY U. S. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS ^M THE NATIONAL BUREAU OF STANDARDS Functions and Activities The functions of the National Bureau of Standards are set forth in the Act of Congress, March 3, 1901, as amended by Congress in Public Law 619, 1950. These include the development and maintenance of the national standards of measurement and the provision of means and methods for making measurements consistent with these standards; the determination of physical constants and properties of materials; the development of methods and instruments for testing materials, devices, and structures; advisory services to government agencies on scientific and technical problems; in- vention and development of devices to serve special needs of the Government; and the development of standard practices, codes, and specifications. The work includes basic and applied research, development, engineering, instrumentation, testing, evaluation, calibration services, and various consultation and information services. Research projects are also performed for other government agencies when the work relates to and supplements the basic program of the Bureau or when the Bureau's unique competence is required. The scope of activities is suggested by the listing of divisions and sections on the inside of the back cover. Publications The results of the Bureau's work take the form of either actual equipment and devices or pub- lished papers.