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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. -
Meteor Csillagászati Évkönyv 1998
meteor csillagászati évkönyv 1998 . ( L f » ■ t r f l Születő bolygórendszerek az Orion-ködben ' A MAGYAR CSILLAGASZATI EGYESÜLET | Qm - könyvtára meteor csillagászati évkönyv 1998 szerkesztette: Benkő József Holl András Mizser Attila Taracsák Gábor Magyar Csillagászati Egyesület Budapest, 1997 Az évkönyv összeállításában közreműködött: Jean Meeus (Belgium) Sárneczky Krisztián Szakmailag ellenőrizte: Csaba György Gábor Szabados László Műszaki szerkesztés és illusztrációk: Taracsák Gábor A szerkesztés és a kiadás támogatói: MLog Műszereket Gyártó és Forgalmazó Kft. MTA Csillagászati Kutatóintézete Nógrád Megyei Csillagászati Alapítvány Horváth Ferenc Horváth Tibor ISSN 0866-2851 Felelős kiadó: Mizser Attila Készült a G-PRINT BT. nyomdájában Felelős vezető: Wilpert Gábor Terjedelem: 17.75 ív + 4 oldal melléklet Példányszám: 4000 1997. október Csillagászati évkönyv 1998 5 Tartalom Tartalom B evezető..........................................................................................................................7 Használati útm utató..................................................................................................... 8 Táblázatok Jelenségnaptár ............................................................................................................14 A bolygók kelése és nyugvása (ábra) .................................................................... 38 A bolygók adatai ........................................................................................................40 A bolygók kitérése a Naptól (ábra) -
Matching the Spectral Energy Distribution and P Mode Oscillation Frequencies of the Rapidly Rotating Delta Scuti Star Α Ophiuchi with a 2D Rotating Stellar Model
Matching the Spectral Energy Distribution and p Mode Oscillation Frequencies of the Rapidly Rotating Delta Scuti Star α Ophiuchi with a 2D Rotating Stellar Model Robert G. Deupree, Diego Castañeda, Fernando Peña, and C. Ian Short Institute for Computational Astrophysics and Department of Astronomy and Physics, Saint Mary’s University, Halifax, NS B3H 3C3 Canada; [email protected] ABSTRACT Spectral energy distributions are computed using 2D rotating stellar models and NLTE plane parallel model atmospheres. A rotating, 2D stellar model has been found which matches the observed ultraviolet and visible spectrum of α Oph. The SED match occurs for the interferometrically deduced surface shape and inclination, and is different from the SED produced by spherical models. The p mode oscillation frequencies in which the latitudinal variation is modelled by a linear combination of eight Legendre polynomials were computed for this model. The five highest and seven of the nine highest amplitude modes show agreement between computed axisymmetric, equatorially symmetric mode frequencies and the mode frequencies observed by MOST to within the observational error. Including nonaxisymmetric modes up through |m| = 2 and allowing the possibility that the eight lowest amplitude modes could be produced by modes which are not equatorially symmetric produces matches for 24 out of the 35 MOST modes to within the observational error and another eight modes to within twice the observational error. The remaining three observed modes can be fit within 4.2 times the observational error, but even these may be fit to within the observational error if the criteria for computed modes are expanded. -
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 -
Conventional and New Directions in Studying Cepheids
105 Conventional and new directions in studying Cepheids L´aszl´oSzabados Konkoly Observatory of the Hungarian Academy of Sciences P.O. Box 67, H-1525 Budapest, Hungary In the first part of this paper, traditional methods of studying Cepheids are summarized, mentioning Detre’s contribution to this field. Then the new directions of Cepheid related research are reviewed with an emphasis on the problems concerning the period-luminosity relationship. Introduction Cepheids are supergiant stars that perform radial pulsation when they cross the clas- arXiv:astro-ph/0612334v1 13 Dec 2006 sical instability strip in the Hertzsprung-Russell diagram during their post-main sequence evolution. It is the outer layers of Cepheids which oscillate, and the pulsation is main- tained by the opacity changes in the partially ionised zones of neutral hydrogen and singly ionised helium capable for transforming heat into mechanical energy via the κ-mechanism (κ is the conventional sign of the opacity). The mostly monoperiodic Cepheids may seem to be boring targets with respect to the multiperiodic radial and/or non-radial pulsating stars of different types but, in fact, Cepheids are neither perfectly regular, nor homogeneous. Subtle deviations from regular- ity and homogeneity result in important astronomical consequences. No wonder, Cepheids have remained in the forefront of the variable star studies in spite of the fact that a num- ber of astrophysically important new types of variable stars emerged in the last decades. Due to variety and richness of the relevant studies, selected results are only mentioned in this review. Traditional studies and Detre’s contribution The Cepheid pulsation is a free oscillation of the star whose frequency corresponds to the eigenfrequency of the stellar plasma sphere. -
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. -
Arxiv:1406.0494V1 [Astro-Ph.SR] 2 Jun 2014
Mon. Not. R. Astron. Soc. 000, 1–14 (2014) Printed 5 September 2021 (MN LATEX style file v2.2) V473 Lyrae, a unique second-overtone Cepheid with two modulation cycles L. Moln´ar1,2⋆, L. Szabados1 1Konkoly Observatory, Research Centre for Astronomy and Earth Sciences Konkoly Thege Mikl´os ´ut 15-17, H-1121 Budapest, Hungary 2Institute of Mathematics and Physics, Savaria Campus, University of West Hungary K´arolyi G´asp´ar t´er 4, H-9700 Szombathely, Hungary Accepted ABSTRACT V473 Lyrae is the only Galactic Cepheid with confirmed periodic amplitude and phase variations similar to the Blazhko effect observed in RR Lyrae stars. We collected all available photometric data and some radial velocity measurements to investigate the nature of the modulation. The comparison of the photometric and radial velocity amplitudes confirmed that the star pulsates in the second overtone. The extensive data set, spanning more than 40 years, allowed us to detect a secondary modulation cycle with a period of approximately 5300 days or 14.5 years. The secondary variations can be detected in the period of the primary modulation, as well. Phenomenologically, the light variations are analogous to the Blazhko effect. To find a physical link, we calculated linear hydrodynamic models to search for potential mode resonances that could drive the modulation and found two viable half-integer (n:2) and three n:4 resonances between the second overtone and other modes. If any of these resonances will be confirmed by non-linear models, it may confirm the mode resonance model, a common mechanism that can drive modulations both in RR Lyrae and Cepheid stars. -
Anousheh Ansari
: Fort Worth Astronomical Society (Est. 1949) August 2010 Astronomical League Member At the August Meeting: Special Guest Anousheh Ansari Club Calendar – 2 – 3 Skyportunities Star Party & Club Reports – 5 House Calls by Ophiuchus – 6 Hubble’s Amazing Rescue – 8 Your Most Important Optics -- 9 Stargazers’ Diary – 11 1 Milky Way Over Colorado by Jim Murray August 2010 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 1 2 3 4 5 6 7 Third Qtr Moon Challenge binary star for August: Make use of the New Viking 1 Orbiter 11:59 pm Moon Weekend for Alvan Clark 11 (ADS 11324) (Serpens Cauda) ceases operation better viewing at the 30 years ago Notable carbon star for August: Dark Sky Site Mars : Saturn O V Aquilae 1.9 Conjunction Mercury at greatest Challenge deep-sky object for August: eastern elongation Venus, Mars and Abell 53 (Aquila) Saturn all within a this evening binocular field of First in-flight New Moon view for the first 12 New Moon shuttle repair Neal Armstrong Weekend Weekend days of August. 15 years ago born 80 years ago 8 9 10 11 12 13 14 New Moon Moon at Perigee Double shadow (224,386 miles) transit on Jupiter 3RF Star Party 10:08 pm 1 pm 5:12am High in SSW Museum Star (A.T. @ 5:21 am) Party Venus : Saturn O . 3 of separation Perseid Meteor Watch Party @ 3RF New Moon Magellan enters Fairly consistent show Weekend orbit around Venus of about 60 per hour 20 years ago 15 16 17 18 19 20 21 Algol at Minima 2:45 am - In NE First Qtr Moon Total Solar 1:14 pm Eclipse in 7 years Nearest arc of totality takes in FWAS Grand Island NE St Joseph MO Meeting With Neptune @ Columbia MO Venus at greatest Opposition Anousheh Algol at Minima eastern elongation N of Nashville TN 11:34pm Low In NE 5 am N of Charleston SC Ansari this evening 22 23 24 25 26 27 28 Full Moon Moon at Apogee 2:05 pm (252,518.miles) GATE CODES Smallest of 2010 1 am to the (within 11 hrs of apogee) DARK SKY SITE will be changed st September 1 BE SURE YOU ARE CURRENT WITH DUES to Astroboy’s Day Job Venus : Mars receive new codes O 2 Conjunction 29 31 30 Anousheh Ansari’s Mission Patch at right. -
Mètodes De Detecció I Anàlisi D'exoplanetes
MÈTODES DE DETECCIÓ I ANÀLISI D’EXOPLANETES Rubén Soussé Villa 2n de Batxillerat Tutora: Dolors Romero IES XXV Olimpíada 13/1/2011 Mètodes de detecció i anàlisi d’exoplanetes . Índex - Introducció ............................................................................................. 5 [ Marc Teòric ] 1. L’Univers ............................................................................................... 6 1.1 Les estrelles .................................................................................. 6 1.1.1 Vida de les estrelles .............................................................. 7 1.1.2 Classes espectrals .................................................................9 1.1.3 Magnitud ........................................................................... 9 1.2 Sistemes planetaris: El Sistema Solar .............................................. 10 1.2.1 Formació ......................................................................... 11 1.2.2 Planetes .......................................................................... 13 2. Planetes extrasolars ............................................................................ 19 2.1 Denominació .............................................................................. 19 2.2 Història dels exoplanetes .............................................................. 20 2.3 Mètodes per detectar-los i saber-ne les característiques ..................... 26 2.3.1 Oscil·lació Doppler ........................................................... 27 2.3.2 Trànsits -
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! -
Meteor Csillagászati Évkönyv
Ár: 3000 Ft 2016 meteor csillagászati évkönyv csillagászati évkönyv meteor ISSN 0866- 2851 2016 9 770866 285002 meteor 2016 Távcsöves Találkozó Tarján, 2016. július 28–31. www.mcse.hu Magyar Csillagászati Egyesület Fotó: Sztankó Gerda, Tarján, 2012 METEOR CSILLAGÁSZATI ÉVKÖNYV 2016 METEOR CSILLAGÁSZATI ÉVKÖNYV 2016 MCSE – 2015. OKTÓBER–NOVEMBER METEOR CSILLAGÁSZATI ÉVKÖNYV 2016 MCSE – 2015. OKTÓBER–NOVEMBER meteor csillagászati évkönyv 2016 Szerkesztette: Benkõ József Mizser Attila Magyar Csillagászati Egyesület www.mcse.hu Budapest, 2015 METEOR CSILLAGÁSZATI ÉVKÖNYV 2016 MCSE – 2015. OKTÓBER–NOVEMBER Az évkönyv kalendárium részének összeállításában közremûködött: Bagó Balázs Kaposvári Zoltán Kiss Áron Keve Kovács József Molnár Péter Sánta Gábor Sárneczky Krisztián Szabadi Péter Szabó M. Gyula Szabó Sándor Szôllôsi Attila A kalendárium csillagtérképei az Ursa Minor szoftverrel készültek. www.ursaminor.hu Szakmailag ellenôrizte: Szabados László A kiadvány a Magyar Tudományos Akadémia támogatásával készült. További támogatóink mindazok, akik az SZJA 1%-ával támogatják a Magyar Csillagászati Egyesületet. Adószámunk: 19009162-2-43 Felelôs kiadó: Mizser Attila Nyomdai elôkészítés: Kármán Stúdió, www.karman.hu Nyomtatás, kötészet: OOK-Press Kft., www.ookpress.hu Felelôs vezetô: Szathmáry Attila Terjedelem: 23 ív fekete-fehér + 12 oldal színes melléklet 2015. november ISSN 0866-2851 METEOR CSILLAGÁSZATI ÉVKÖNYV 2016 MCSE – 2015. OKTÓBER–NOVEMBER Tartalom Bevezetô ................................................... 7 Kalendárium .............................................. -
RR Lyrae Stars As Seen by the Kepler Space Telescope
RR Lyrae stars as seen by the Kepler space telescope Emese Plachy 1;2;3,Robert´ Szabo,´ 1;2;3∗ 1Konkoly Observatory, Research Centre for Astronomy and Earth Sciences, Konkoly Thege Miklos´ ut´ 15-17, H-1121 Budapest, Hungary 2MTA CSFK Lendulet¨ Near-Field Cosmology Research Group 3ELTE Eotv¨ os¨ Lorand´ University, Institute of Physics, Budapest, Hungary Correspondence*: Robert´ Szabo´ [email protected] ABSTRACT The unprecedented photometric precision along with the quasi-continuous sampling provided by the Kepler space telescope revealed new and unpredicted phenomena that reformed and invigorated RR Lyrae star research. The discovery of period doubling and the wealth of low- amplitude modes enlightened the complexity of the pulsation behavior and guided us towards nonlinear and nonradial studies. Searching and providing theoretical explanation for these newly found phenomena became a central question, as well as understanding their connection to the oldest enigma of RR Lyrae stars, the Blazhko effect. We attempt to summarize the highest impact RR Lyrae results based on or inspired by the data of the Kepler space telescope both from the nominal and the K2 missions. Besides the three most intriguing topics, the period doubling, the low-amplitude modes, and the Blazhko effect, we also discuss the challenges of Kepler photometry that played a crucial role in the results. The secrets of these amazing variables, uncovered by Kepler, keep the theoretical, ground-based and space-based research inspired in the post-Kepler era, since light variation of RR Lyrae stars is still not completely understood. Keywords: RR Lyrae stars, Kepler spacecraft, Blazkho effect, pulsating variable stars, horizontal-branch stars, pulsation, asteroseismology, nonradial oscillations 1 INTRODUCTION RR Lyrae stars are large-amplitude, horizontal-branch pulsating stars which serve as tracers and distance indicators of old stellar populations in the Milky Way and neighboring galaxies.