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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. -
Total Solar Eclipse of 2002 December 4
NASA/TP—2001–209990 Total Solar Eclipse of 2002 December 04 F. Espenak and J. Anderson Central Lat,Lng = -28.0 132.0 P Factor = 0.46 Semi W,H = 0.35 0.28 Offset X,Y = 0.00-0.00 1999 Oct 26 10:40:42 AM High Res World Data [WPD1] WorldMap v2.00, F. Espenak Orthographic Projection Scale = 8.00 mm/° = 1:13915000 Central Lat,Lng = -10.0 26.0 P Factor = 0.31 Semi W,H = 0.70 0.50 Offset X,Y = 0.00-0.00 1999 Oct 26 10:17:57 AM September 2001 The NASA STI Program Office … in Profile Since its founding, NASA has been dedicated to • CONFERENCE PUBLICATION. Collected the advancement of aeronautics and space papers from scientific and technical science. The NASA Scientific and Technical conferences, symposia, seminars, or other Information (STI) Program Office plays a key meetings sponsored or cosponsored by NASA. part in helping NASA maintain this important role. • SPECIAL PUBLICATION. Scientific, techni- cal, or historical information from NASA The NASA STI Program Office is operated by programs, projects, and mission, often con- Langley Research Center, the lead center for cerned with subjects having substantial public NASA’s scientific and technical information. The interest. NASA STI Program Office provides access to the NASA STI Database, the largest collection of • TECHNICAL TRANSLATION. aeronautical and space science STI in the world. English-language translations of foreign scien- The Program Office is also NASA’s institutional tific and technical material pertinent to NASA’s mechanism for disseminating the results of its mission. -
Sky-Watcher Star Adventurer Mini (SAM)
SAMStar Adventurer Mini User Guide • Astrophotography • Time-Lapse Photography • DSLR Camera Control Quite Possibly The Most Compact and Versatile Camera Tracking Platform in the Known Universe! Thank You For Purchasing This Sky-Watcher Product The Sky-Watcher Star Adventurer Mini (SAM) is a compact high-precision camera tracking platform that is ideal for long exposure astrophotography as well as time-lapse photography in daytime and nighttime settings. SAM easily fits in your backpack or camera bag, making it a convenient travel companion that can venture with you into remote locations. SAM comes with built-in WiFi and the free Star Adventurer mini Console App for Android and iOS platforms. SAM is easy to set up and easy to operate in all of its modes. The more you use it, the more you’ll love it! For your Safety To prevent damage to your Sky-Watcher product or injury to yourself or to others, all users of this product should first read the following safety precautions entirely before using this equipment. WARNING: • Do not look at the sun through the polar scope. Viewing the sun or other strong light sources through the polar scope could cause permanent visual impairment. • Do not use in the presence of flammable gas. Do not use electronic equipment in the presence of flammable gas, as this could result in explosion or fire. • Keep out of reach of children. Failure to do so could result in injury. Moreover, note that small parts constitute a choking hazard. Consult a physician immediately if a child swallows any part of this equipment. -
The Brightest Stars Seite 1 Von 9
The Brightest Stars Seite 1 von 9 The Brightest Stars This is a list of the 300 brightest stars made using data from the Hipparcos catalogue. The stellar distances are only fairly accurate for stars well within 1000 light years. 1 2 3 4 5 6 7 8 9 10 11 12 13 No. Star Names Equatorial Galactic Spectral Vis Abs Prllx Err Dist Coordinates Coordinates Type Mag Mag ly RA Dec l° b° 1. Alpha Canis Majoris Sirius 06 45 -16.7 227.2 -8.9 A1V -1.44 1.45 379.21 1.58 9 2. Alpha Carinae Canopus 06 24 -52.7 261.2 -25.3 F0Ib -0.62 -5.53 10.43 0.53 310 3. Alpha Centauri Rigil Kentaurus 14 40 -60.8 315.8 -0.7 G2V+K1V -0.27 4.08 742.12 1.40 4 4. Alpha Boötis Arcturus 14 16 +19.2 15.2 +69.0 K2III -0.05 -0.31 88.85 0.74 37 5. Alpha Lyrae Vega 18 37 +38.8 67.5 +19.2 A0V 0.03 0.58 128.93 0.55 25 6. Alpha Aurigae Capella 05 17 +46.0 162.6 +4.6 G5III+G0III 0.08 -0.48 77.29 0.89 42 7. Beta Orionis Rigel 05 15 -8.2 209.3 -25.1 B8Ia 0.18 -6.69 4.22 0.81 770 8. Alpha Canis Minoris Procyon 07 39 +5.2 213.7 +13.0 F5IV-V 0.40 2.68 285.93 0.88 11 9. Alpha Eridani Achernar 01 38 -57.2 290.7 -58.8 B3V 0.45 -2.77 22.68 0.57 144 10. -
THE CONSTELLATION MUSCA, the FLY Musca Australis (Latin: Southern Fly) Is a Small Constellation in the Deep Southern Sky
THE CONSTELLATION MUSCA, THE FLY Musca Australis (Latin: Southern Fly) is a small constellation in the deep southern sky. It was one of twelve constellations created by Petrus Plancius from the observations of Pieter Dirkszoon Keyser and Frederick de Houtman and it first appeared on a 35-cm diameter celestial globe published in 1597 in Amsterdam by Plancius and Jodocus Hondius. The first depiction of this constellation in a celestial atlas was in Johann Bayer's Uranometria of 1603. It was also known as Apis (Latin: bee) for two hundred years. Musca remains below the horizon for most Northern Hemisphere observers. Also known as the Southern or Indian Fly, the French Mouche Australe ou Indienne, the German Südliche Fliege, and the Italian Mosca Australe, it lies partly in the Milky Way, south of Crux and east of the Chamaeleon. De Houtman included it in his southern star catalogue in 1598 under the Dutch name De Vlieghe, ‘The Fly’ This title generally is supposed to have been substituted by La Caille, about 1752, for Bayer's Apis, the Bee; but Halley, in 1679, had called it Musca Apis; and even previous to him, Riccioli catalogued it as Apis seu Musca. Even in our day the idea of a Bee prevails, for Stieler's Planisphere of 1872 has Biene, and an alternative title in France is Abeille. When the Northern Fly was merged with Aries by the International Astronomical Union (IAU) in 1929, Musca Australis was given its modern shortened name Musca. It is the only official constellation depicting an insect. Julius Schiller, who redrew and named all the 88 constellations united Musca with the Bird of Paradise and the Chamaeleon as mother Eve. -
The Astronomy of the Kamilaroi and Euahlayi Peoples and Their Neighbours
The Astronomy of the Kamilaroi and Euahlayi Peoples and Their Neighbours By Robert Stevens Fuller A thesis submitted to the Faculty of Arts at Macquarie University for the degree of Master of Philosophy November 2014 © Robert Stevens Fuller i I certify that the work in this thesis entitled “The Astronomy of the Kamilaroi and Euahlayi Peoples and Their Neighbours” has not been previously submitted for a degree nor has it been submitted as part of requirements for a degree to any other university or institution other than Macquarie University. I also certify that the thesis is an original piece of research and it has been written by me. Any help and assistance that I have received in my research work and the preparation of the thesis itself has been appropriately acknowledged. In addition, I certify that all information sources and literature used are indicated in the thesis. The research presented in this thesis was approved by Macquarie University Ethics Review Committee reference number 5201200462 on 27 June 2012. Robert S. Fuller (42916135) ii This page left intentionally blank Contents Contents .................................................................................................................................... iii Dedication ................................................................................................................................ vii Acknowledgements ................................................................................................................... ix Publications .............................................................................................................................. -
Seeing the Light: the Art and Science of Astronomy
Chapter 1 Seeing the Light: The Art and Science of Astronomy In This Chapter ▶ Understanding the observational nature of astronomy ▶ Focusing on astronomy’s language of light ▶ Weighing in on gravity ▶ Recognizing the movements of objects in space tep outside on a clear night and look at the sky. If you’re a city dweller Sor live in a cramped suburb, you see dozens, maybe hundreds, of twin- kling stars. Depending on the time of the month, you may also see a full Moon and up to five of the eight planets that revolve around the Sun. A shooting star or “meteor” may appear overhead. What you actually see is the flash of light from a tiny piece of comet dust streaking through the upper atmosphere. Another pinpoint of light moves slowly and steadily across the sky. Is it a space satellite, such as the Hubble Space Telescope, or just a high-altitude airliner? If you have a pair of binoculars, you may be able to see the difference. Most air- liners have running lights, and their shapes may be perceptible. If you liveCOPYRIGHTED in the country — on the seashore MATERIAL away from resorts and develop- ments, on the plains, or in the mountains far from any floodlit ski slope — you can see thousands of stars. The Milky Way appears as a beautiful pearly swath across the heavens. What you’re seeing is the cumulative glow from millions of faint stars, individually indistinguishable with the naked eye. At a great observation place, such as Cerro Tololo in the Chilean Andes, you can see even more stars. -
Mag Sep PA Spectra Colors Seen Luminosity a 7.3 N/A N/A A1 V W 60 B 8.2 62 7 B 25 C 7.1 302 243 W 70 Observations: Observed at 104X
33 Doubles in Canis Major and Canis Minor Observed 1988-1996 with a C-8 (Celestron) from Columbia, Missouri (USA) and Kansas City, Missouri. Observer: Richard Harshaw Dates and sky conditions were not logged at this time in my observations. South 516 (HD 44144; SAO 171562) Rating: 3 Position: 0619-2459 Year of last measure: 1959 Assumed distance (l.y.): 770 Assumed luminosity (suns): 155 Mag Sep PA Spectra Colors Seen Luminosity A 7.3 n/a n/a A1 V W 60 B 8.2 62 7 B 25 C 7.1 302 243 W 70 Observations: Observed at 104x. Rich field. Notes: Hipparcos/Tycho data show different distances for these stars; they may be an optical system. The stars have different proper motions. South 518 (ADS 5034; HD 45016; SAO 151462) Rating: 2 Position: 0624-1614 Year of last measure: 1917 Assumed distance (l.y.): 890 Assumed luminosity (suns): 123 Mag Sep PA Spectra Colors Seen Luminosity A 7.0 n/a n/a A9 V W 100 B 8.6 16 88 A B 23 Observations: Observed at 83x. Rich field. Notes: Hipparcos/Tycho data show different distances for these stars; they may be an optical system. h3863 (ADS 5128; HD 45941; SAO 171831) Rating: 3 Position: 0629-2236 Year of last measure: 1959 Assumed distance (l.y.): 1,190 Assumed luminosity (suns): 237 Mag Sep PA Spectra Colors Seen Luminosity A 6.8 n/a n/a A2 V Y 200 B 8.7 3 119 Y 37 Observations: Observed at 280x. Rich field. Notes: First measure: 2.7" @ 119 (Doolittle). -
Section 3.6 Selected Stars from the Hipparcos
Section 3.6 Selected Stars from the Hipparcos Catalogue 481 3.6. Selected Stars from the Hipparcos Catalogue In this section certain key results from the Hipparcos Catalogue are presented for various sets of stars selected according to a number of criteria. Table 3.6.1 lists results for the 150 stars closest to the Sun, as deduced from the Hipparcos parallaxes. No criterion was applied to the precision of the individual parallax determinations. The entries in the table are sorted by decreasing parallax (increasing distance). Table 3.6.2 gives the results for the 150 stars with the largest total proper motions in the Hipparcos Catalogue, again without further selection on precision. Table 3.6.3 gives the results for the 150 stars with the largest total transverse velocity, as deduced from the Hipparcos proper motions and parallaxes. In the latter table, only stars with relative distance precision σπ /π < 0.1 were included. The entries in these tables are sorted by decreasing total proper motion and total transverse velocity, respectively. For Table 3.6.4, the table with 150 stars with the highest absolute luminosity, the se- lection was more delicate. Although Hipparcos has determined for each entry at least a lower limit for the distance, and consequently for the luminosity, the inclusion of stars with only such a lower limit in the table was not considered meaningful. The stars in the table meet the two following criteria: (i) relative distance precision σπ /π < 0.3; (ii) ab- solute magnitude MV when computed with the 2-σ lower distance limit 1/(π + 2σπ ) smaller than −2 mag. -
The Electric Sun Hypothesis
Basics of astrophysics revisited. II. Mass- luminosity- rotation relation for F, A, B, O and WR class stars Edgars Alksnis [email protected] Small volume statistics show, that luminosity of bright stars is proportional to their angular momentums of rotation when certain relation between stellar mass and stellar rotation speed is reached. Cause should be outside of standard stellar model. Concept allows strengthen hypotheses of 1) fast rotation of Wolf-Rayet stars and 2) low mass central black hole of the Milky Way. Keywords: mass-luminosity relation, stellar rotation, Wolf-Rayet stars, stellar angular momentum, Sagittarius A* mass, Sagittarius A* luminosity. In previous work (Alksnis, 2017) we have shown, that in slow rotating stars stellar luminosity is proportional to spin angular momentum of the star. This allows us to see, that there in fact are no stars outside of “main sequence” within stellar classes G, K and M. METHOD We have analyzed possible connection between stellar luminosity and stellar angular momentum in samples of most known F, A, B, O and WR class stars (tables 1-5). Stellar equatorial rotation speed (vsini) was used as main parameter of stellar rotation when possible. Several diverse data for one star were averaged. Zero stellar rotation speed was considered as an error and corresponding star has been not included in sample. RESULTS 2 F class star Relative Relative Luminosity, Relative M*R *eq mass, M radius, L rotation, L R eq HATP-6 1.29 1.46 3.55 2.950 2.28 α UMi B 1.39 1.38 3.90 38.573 26.18 Alpha Fornacis 1.33 -
Smartstar Cubepro Telescope Mount Instruction Manual
® SmartStar® CubeProTM Telescope Mount Instruction Manual Table of Content Table of Content ................................................................................................................................... 2 1. SmarStar® CubeProTM Mount Overview ............................................................................................ 4 1.1. SmartStar® CubeProTM Mount .................................................................................................... 4 1.2. Assembly Terms ......................................................................................................................... 5 1.3. Go2Nova® 8408 Hand Controller ............................................................................................... 5 1.3.1. Key Description .................................................................................................................... 6 1.3.2. The LCD Screen .................................................................................................................. 6 1.4. Check the Battery ....................................................................................................................... 7 2. CubeProTM Mount Assembly ............................................................................................................. 8 2.1. Setup a Mount in AA Mode ......................................................................................................... 8 2.2. Install Counterweight ............................................................................................................... -
6 Supplementary References
6 6 SUPPLEMENTARY REFERENCES 6 SUPPLEMENTARY REFERENCES 1203 6.1 GENERAL ENCYCLOPEDIAS Cosmology glossary. Western Washington Univ. Planetarium, Bellingham, WA; http://www.wwu.edu/depts/skywise/a101_cosmologyglossary.html. Bilder-Konversationslexikon. 4 vols., Brockhaus, Leipzig (1834). CXC Glossary of astrophysical terms. Chandra X-ray Center (CXC), operated Brockhaus Enzyklopädie. 20 vols., Brockhaus, Wiesbaden (1966–1974). for NASA by Harvard-Smithsonian Center for Astrophysics, Cambridge, Brockhaus-Konversationslexikon. 16 vols., Brockhaus, Leipzig (1892–1897). MA; http://chandra.harvard.edu/resources/glossaryA.html. Chambers’s encyclopaedia (ed. by M.D. LAW). 15 vols., International Learn- Dictionnaire des sciences naturelles (ed. by F.G. CUVIER). Levrault, Stras- ing Systems Corporation Ltd., London (1963). bourg (1816–1826). Columbia encyclopedia. Columbia University Press, New York (6th edn., Dictionary of medieval Latin from British sources (ed. by R.E. LATHAM and 2001–2005); http://www.bartleby.com/65/. D.R. HOWLETT). Oxford University Press, London; vol. 1 (1975) to vol. 6 Collier’s encyclopedia. 24 vols., Macmillan Education Co, New York (1987). (2003). Der Große Herder. 13 vols., Herder, Freiburg (1932–1935). Dictionary of mining, mineral, and related terms [compiled and edited by the Encyclopaedia Britannica. 29 vols. (11th edn., 1911). LoveToKnow™ free U.S. Bureau of Mines, U.S. Dept. of the Interior]. Am. Geol. Inst., Alex- online Encyclopedia; http://www.1911encyclopedia.org/. andria, VA (1997); http://www.maden.hacettepe.edu.tr/dmmrt/index.html. Encyclopaedia Britannica. 24 vols. (1875–1889), 24 vols. (1929), 24 vols. Dictionary of SDI (ed. by H. WALDMAN). Scholarly Resources Imprint, Wil- (1959); 30 vols. (1974–1984); 32 vols. (1985–2002) mington, DE (1988).