TOHNS HOPKINS J UEU’IVERSITY Technical Report for Grant NAG5-7697
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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. -
Lurking in the Shadows: Wide-Separation Gas Giants As Tracers of Planet Formation
Lurking in the Shadows: Wide-Separation Gas Giants as Tracers of Planet Formation Thesis by Marta Levesque Bryan In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California 2018 Defended May 1, 2018 ii © 2018 Marta Levesque Bryan ORCID: [0000-0002-6076-5967] All rights reserved iii ACKNOWLEDGEMENTS First and foremost I would like to thank Heather Knutson, who I had the great privilege of working with as my thesis advisor. Her encouragement, guidance, and perspective helped me navigate many a challenging problem, and my conversations with her were a consistent source of positivity and learning throughout my time at Caltech. I leave graduate school a better scientist and person for having her as a role model. Heather fostered a wonderfully positive and supportive environment for her students, giving us the space to explore and grow - I could not have asked for a better advisor or research experience. I would also like to thank Konstantin Batygin for enthusiastic and illuminating discussions that always left me more excited to explore the result at hand. Thank you as well to Dimitri Mawet for providing both expertise and contagious optimism for some of my latest direct imaging endeavors. Thank you to the rest of my thesis committee, namely Geoff Blake, Evan Kirby, and Chuck Steidel for their support, helpful conversations, and insightful questions. I am grateful to have had the opportunity to collaborate with Brendan Bowler. His talk at Caltech my second year of graduate school introduced me to an unexpected population of massive wide-separation planetary-mass companions, and lead to a long-running collaboration from which several of my thesis projects were born. -
Hubbl E Space T El Escope Wfpc2 Imaging of Fs Tauri and Haro 6-5B1 John E.Krist,2 Karl R.Stapelfeldt,3 Christopher J.Burrows,2,4 Gilda E.Ballester,5 John T
THE ASTROPHYSICAL JOURNAL, 501:841È852, 1998 July 10 ( 1998. The American Astronomical Society. All rights reserved. Printed in U.S.A. HUBBL E SPACE T EL ESCOPE WFPC2 IMAGING OF FS TAURI AND HARO 6-5B1 JOHN E.KRIST,2 KARL R.STAPELFELDT,3 CHRISTOPHER J.BURROWS,2,4 GILDA E.BALLESTER,5 JOHN T. CLARKE,5 DAVID CRISP,3 ROBIN W.EVANS,3 JOHN S.GALLAGHER III,6 RICHARD E.GRIFFITHS,7 J. JEFF HESTER,8 JOHN G.HOESSEL,6 JON A.HOLTZMAN,9 JEREMY R.MOULD,10 PAUL A. SCOWEN,8 JOHN T.TRAUGER,3 ALAN M. WATSON,11 AND JAMES A. WESTPHAL12 Received 1997 December 18; accepted 1998 February 16 ABSTRACT We have observed the Ðeld of FS Tauri (Haro 6-5) with the Wide Field Planetary Camera 2 on the Hubble Space Telescope. Centered on Haro 6-5B and adjacent to the nebulous binary system of FS Tauri A there is an extended complex of reÑection nebulosity that includes a di†use, hourglass-shaped structure. H6-5B, the source of a bipolar jet, is not directly visible but appears to illuminate a compact, bipolar nebula which we assume to be a protostellar disk similar to HH 30. The bipolar jet appears twisted, which explains the unusually broad width measured in ground-based images. We present the Ðrst resolved photometry of the FS Tau A components at visual wavelengths. The Ñuxes of the fainter, eastern component are well matched by a 3360 K blackbody with an extinction ofAV \ 8. For the western star, however, any reasonable, reddened blackbody energy distribution underestimates the K-band photometry by over 2 mag. -
Correlations Between the Stellar, Planetary, and Debris Components of Exoplanet Systems Observed by Herschel⋆
A&A 565, A15 (2014) Astronomy DOI: 10.1051/0004-6361/201323058 & c ESO 2014 Astrophysics Correlations between the stellar, planetary, and debris components of exoplanet systems observed by Herschel J. P. Marshall1,2, A. Moro-Martín3,4, C. Eiroa1, G. Kennedy5,A.Mora6, B. Sibthorpe7, J.-F. Lestrade8, J. Maldonado1,9, J. Sanz-Forcada10,M.C.Wyatt5,B.Matthews11,12,J.Horner2,13,14, B. Montesinos10,G.Bryden15, C. del Burgo16,J.S.Greaves17,R.J.Ivison18,19, G. Meeus1, G. Olofsson20, G. L. Pilbratt21, and G. J. White22,23 (Affiliations can be found after the references) Received 15 November 2013 / Accepted 6 March 2014 ABSTRACT Context. Stars form surrounded by gas- and dust-rich protoplanetary discs. Generally, these discs dissipate over a few (3–10) Myr, leaving a faint tenuous debris disc composed of second-generation dust produced by the attrition of larger bodies formed in the protoplanetary disc. Giant planets detected in radial velocity and transit surveys of main-sequence stars also form within the protoplanetary disc, whilst super-Earths now detectable may form once the gas has dissipated. Our own solar system, with its eight planets and two debris belts, is a prime example of an end state of this process. Aims. The Herschel DEBRIS, DUNES, and GT programmes observed 37 exoplanet host stars within 25 pc at 70, 100, and 160 μm with the sensitiv- ity to detect far-infrared excess emission at flux density levels only an order of magnitude greater than that of the solar system’s Edgeworth-Kuiper belt. Here we present an analysis of that sample, using it to more accurately determine the (possible) level of dust emission from these exoplanet host stars and thereafter determine the links between the various components of these exoplanetary systems through statistical analysis. -
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. -
Astronomy Astrophysics
A&A 453, 101–119 (2006) Astronomy DOI: 10.1051/0004-6361:20053894 & c ESO 2006 Astrophysics On the difference between nuclear and contraction ages, W. Lyra1,2,3,A.Moitinho4,N.S.vanderBliek1,andJ.Alves5 1 Cerro Tololo Interamerican Observatory, Casilla 603 La Serena, Chile 2 Observatório do Valongo/UFRJ, Ladeira do Pedro Antônio 43, 20080-090 Rio de Janeiro, Brazil 3 Department of Astronomy and Space Physics, Uppsala Astronomical Observatory, Box 515, 751 20 Uppsala, Sweden e-mail: [email protected] 4 Observatório Astronómico de Lisboa, Tapada da Ajuda, 1349-018 Lisbon, Portugal 5 European Southern Observatory, Karl-Schwarzschild 2, 85748 Garching, Germany Received 23 July 2005 / Accepted 20 February 2006 ABSTRACT Context. Ages derived from low mass stars still contracting onto the main sequence often differ from ages derived from the high mass ones that have already evolved away from it. Aims. We investigate the general claim of disagreement between these two independent age determinations by presenting UBVRI pho- tometry for the young galactic open clusters NGC 2232, NGC 2516, NGC 2547 and NGC 4755, spanning the age range ∼10–150 Myr Methods. We derived reddenings, distances, and nuclear ages by fitting ZAMS and isochrones to color–magnitudes and color–color di- agrams. To derive contraction ages, we used four different pre-main sequence models, with an empirically calibrated color-temperature relation to match the Pleiades cluster sequence. Results. When exclusively using the V vs. V − I color–magnitude diagram and empirically calibrated isochrones, there is consistency between nuclear and contraction ages for the studied clusters. -
Coronography at La Silla: High Resolution Imaging of Faint Features Near Bright Objects F
Coronography at La Silla: High Resolution Imaging of Faint Features Near Bright Objects F. PARESCE and c. BURROWS, Space Telescope Science Institute, Baltimore, USA, and Astrophysics Division, Space Science Dept. of ESA Introduction of this article and available from the sponds to 5.10-3 square arcseconds in authors. the sky with a total rectangular field of Some of the more interesting as view of 22.5 by 35.9 arcseconds. tronomical sources happen to lie very The optical and detector system just close to bright objects. If the source is Experimental Setup described was calibrated absolutely us very faint, it becomes extremely difficult ing bright, stable stars as calibration to discern it against the glare of the The optical configuration of our ob sources. Using standard Johnson S, V, bright object. This situation arises, for servational setup at La Silla is shown and Rand Cousins I filters available at example, when attempting to image the schematically in Figure 1. Light from the La Silla (ESO filter numbers 445, 446, ionized tori around satellites such as 10, object under investigation is gathered 447 and 465), we obtained overall peak protoplanetary or circumstellar systems and focused by the f/8 MPI 2.2-metre counting efficiencies between 4,000 and of nearby stars, accretion disks within Cassegrain telescope onto a blackened 8,000 Aof 0.2 to 0.4 CCO counts per close binaries, faint emission photoetched mask located in the focal photon depending on bandpass. The nebulosities in the vicinity of old novae plane. This occulting mask is shaped in transmission of the achromatic doublet and possible fuzz around bright the form of a long thin wedge which can decreases rapidly below 4000 Aand is quasars. -
High-Resolution Optical and Near-Infrared Imaging of Young Circumstellar Disks
HIGH-RESOLUTION OPTICAL AND NEAR-INFRARED IMAGING OF YOUNG CIRCUMSTELLAR DISKS MARK McCAUGHREAN Astrophysikalisches Institut Potsdam KARL STAPELFELDT Jet Propulsion Laboratory, California Institute of Technology and LAIRD CLOSE Institute for Astronomy, University of Hawaii In the past five years, observations at optical and near-infrared wavelengths obtained with the Hubble Space Telescope and ground-based adaptive op- tics have provided the first well-resolved images of young circumstellar disks which may form planetary systems. We review these two observational tech- niques and highlight their results by presenting prototype examples of disks imaged in the Taurns-Auriga and Orion star-forming regions. As appropri- ate, we discuss the disk parameters that may be typically derived from the observations, as well as the implications that the observations may have on our understanding of, for example, the role of the ambient environment in shaping the disk evolution. We end with a brief summary of the prospects for future improvements in space- and ground-based optical/IR imaging tech- niques, and how they may impact disk studies. I. DIRECT IMAGING OF CIRCUMSTELLAR DISKS The Copernican demotion of humankind away from the center of our local planetary system also provided the shift in perspective re- quired to understand its cosmogony. Once it was apparent that the solar system comprised a number of planets in essentially circular and coplanar orbits around the Sun, theories for its formation were devel- oped involving condensation from a rotating disk-shaped primordial nebula, or Urnebel. The so-called "Kant-Laplace nebular hypothesis" eventually held sway in the latter half of the twentieth century af- ter lengthy competition with rival "catastrophic" theories (see Koerner 1997 for a review), and was subsequently vindicated by the discovery of analogues to the Urnebel around young stars elsewhere in the galaxy. -
WIS-2015-07-Radioastronomie ALMA Teil4.Pdf (Application/Pdf 4.0
Das Projekt ALMA Mater* Teil 4: Eine Beobachtung, die es in sich hat: eine „Kinderstube“ für Planeten *Wir verwenden die Bezeichnung Alma Mater als Synonym für eine Universität. Seinen Ursprung hat das Doppelwort im Lateinischen (alma: nähren, mater: Mutter). Im übertragenen Sinne ernährt die (mütterliche) Universität ihre Studenten mit Wissen. Und weiter gesponnen ernährt das Projekt ALMA auch die Schüler und Studenten mit Anreizen für das Lernen. (Zudem bedeutet das spanische Wort ‚Alma‘: Seele.) In Bezug (Materie bei T-Tauri-Sternen) zum Beitrag „Der Staubring von GG Tauri“ von Wolfgang Brandner in der Zeitschrift „Sterne und Weltraum“ (SuW) 7/2015, S.30/31, WIS-ID: 1285836 Olaf Fischer Im folgenden WIS-Beitrag steht ein atemberaubendes Beobachtungsergebnis von ALMA im Brennpunkt – die detaillierte Abbildung einer protoplanetaren Scheibe um einen entstehenden Stern – die potentielle Geburtsstätte für Planeten. Neben Beschreibungen und Erklärungen werden vor allem verschiedenartige Aktivitäten (Rechnungen zur Ma und Ph, Arbeit mit Karten, Bildauswertung, Diagramminterpretation, Papiermodell, Quartett) für Schüler angeboten, um diese Beobachtung und damit im Zusammenhang stehende Inhalte (insbesondere die Sternentstehung) besser zu verstehen, auch indem diese den Nutzen des Schulwissen entdecken. Der Wert von Kenntnissen auf verschiedenen Gebieten (Sprache, Mathematik, Naturwis- senschaft, Technik) wird spürbar. Der Beitrag eignet sich als Grundlage für Schülervorträge, die Arbeit in einer AG, wie auch für den Fachunterricht in der Oberstufe. -
Basic Notations
Appendix A Basic Notations In this Appendix, the basic notations for the mathematical operators and astronom- ical and physical quantities used throughout the book are given. Note that only the most frequently used quantities are mentioned; besides, overlapping symbol definitions and deviations from the basically adopted notations are possible, when appropriate. Mathematical Quantities and Operators kxk is the length (norm) of vector x x y is the scalar product of vectors x and y rr is the gradient operator in the direction of vector r f f ; gg is the Poisson bracket of functions f and g K.m/ or K.k/ (where m D k2) is the complete elliptic integral of the first kind with modulus k E.m/ or E.k/ is the complete elliptic integral of the second kind F.˛; m/ is the incomplete elliptic integral of the first kind E.˛; m/ is the incomplete elliptic integral of the second kind ƒ0 is Heuman’s Lambda function Pi is the Legendre polynomial of degree i x0 is the initial value of a variable x Coordinates and Frames x, y, z are the Cartesian (orthogonal) coordinates r, , ˛ are the spherical coordinates (radial distance, longitude, and latitude) © Springer International Publishing Switzerland 2017 171 I. I. Shevchenko, The Lidov-Kozai Effect – Applications in Exoplanet Research and Dynamical Astronomy, Astrophysics and Space Science Library 441, DOI 10.1007/978-3-319-43522-0 172 A Basic Notations In the three-body problem: r1 is the position vector of body 1 relative to body 0 r2 is the position vector of body 2 relative to the center of mass of the inner -
Assaj V1 N6 1925-Nov
~he dournal of tbe .astronomical Societ~ of South .africa. Vol. l. NOVEMBER, 1925. No.6. PRESENT.DAY PROBLEMS OF ASTRONOMY . • (PRESIDENTIAL ADDRESS, SESSION 1924-25.) By J. K. E. HALM, PH.D., F.R.A.S., F.R.S.E. The history of Astronomv during- the last three centuries is a record of continuous progress. Since the clays of Kepler and Newton no period can be pointed out when advance in one or other of its branches was entirelv suspended. But the centre of most rapid progress has shiftecl fronl time to time. It was natural, for instance, that the discovery of the law of gravita tion and its fundamental bearing on the motions of the bodies governed by the attractive force of the sun should lead. in the earlier days, to a concentration of efforts in the direction of establishing the dynamics of our solar system. Here was an inexhaustible field for the mathematician who by ever-increasing refinements in his analytical methods endeavoured ancl succeeded to account for the complex motions of the constituent members of our system as the manifestations of tnat one. still mys.terious, force called gravitation. This branch of astronomical science, as you know, held its sway predominantly up to the middle of last century. .... As an illustration of the state of astronomy in those early days, an introductory address circulated prior to the first meeting of the Royal Astronomical Society in 1820 contains the following paragraph :- "Beyond the limits of our svstem all at present is in obscurity. Some vast and general views on the con;;truc tion of the heaven and the laws which mav regulate the formation of sidereal systems have, it is true. -
The 10 Parsec Sample in the Gaia Era?,?? C
A&A 650, A201 (2021) Astronomy https://doi.org/10.1051/0004-6361/202140985 & c C. Reylé et al. 2021 Astrophysics The 10 parsec sample in the Gaia era?,?? C. Reylé1 , K. Jardine2 , P. Fouqué3 , J. A. Caballero4 , R. L. Smart5 , and A. Sozzetti5 1 Institut UTINAM, CNRS UMR6213, Univ. Bourgogne Franche-Comté, OSU THETA Franche-Comté-Bourgogne, Observatoire de Besançon, BP 1615, 25010 Besançon Cedex, France e-mail: [email protected] 2 Radagast Solutions, Simon Vestdijkpad 24, 2321 WD Leiden, The Netherlands 3 IRAP, Université de Toulouse, CNRS, 14 av. E. Belin, 31400 Toulouse, France 4 Centro de Astrobiología (CSIC-INTA), ESAC, Camino bajo del castillo s/n, 28692 Villanueva de la Cañada, Madrid, Spain 5 INAF – Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese (TO), Italy Received 2 April 2021 / Accepted 23 April 2021 ABSTRACT Context. The nearest stars provide a fundamental constraint for our understanding of stellar physics and the Galaxy. The nearby sample serves as an anchor where all objects can be seen and understood with precise data. This work is triggered by the most recent data release of the astrometric space mission Gaia and uses its unprecedented high precision parallax measurements to review the census of objects within 10 pc. Aims. The first aim of this work was to compile all stars and brown dwarfs within 10 pc observable by Gaia and compare it with the Gaia Catalogue of Nearby Stars as a quality assurance test. We complement the list to get a full 10 pc census, including bright stars, brown dwarfs, and exoplanets.