The Close Circumstellar Environment of Betelgeuse II
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Astronomy 114 Problem Set # 2 Due: 16 Feb 2007 Name
Astronomy 114 Problem Set # 2 Due: 16 Feb 2007 Name: SOLUTIONS As we discussed in class, most angles encountered in astronomy are quite small so degrees are often divded into 60 minutes and, if necessary, minutes in 60 seconds. Therefore to convert an angle measured in degrees to minutes, multiply by 60. To convert minutes to seconds, multiply by 60. To use trigonometric formulae, angles might have to be written in terms of radians. Recall that 2π radians = 360 degrees. Therefore, to convert degrees to radians, multiply by 2π/360. 1 The average angular diameter of the Moon is 0.52 degrees. What is the angular diameter of the moon in minutes? The goal here is to change units from degrees to minutes. 0.52 degrees 60 minutes = 31.2 minutes 1 degree 2 The mean angular diameter of the Sun is 32 minutes. What is the angular diameter of the Sun in degrees? 32 minutes 1 degrees =0.53 degrees 60 minutes 0.53 degrees 2π =0.0093 radians 360 degrees Note that the angular diameter of the Sun is nearly the same as the angular diameter of the Moon. This similarity explains why sometimes an eclipse of the Sun by the Moon is total and sometimes is annular. See Chap. 3 for more details. 3 Early astronomers measured the Sun’s physical diameter to be roughly 109 Earth diameters (1 Earth diameter is 12,750 km). Calculate the average distance to the Sun using trigonometry. (Hint: because the angular size is small, you can make the approximation that sin α = α but don’t forget to express α in radians!). -
A New Vla–Hipparcos Distance to Betelgeuse and Its Implications
The Astronomical Journal, 135:1430–1440, 2008 April doi:10.1088/0004-6256/135/4/1430 c 2008. The American Astronomical Society. All rights reserved. Printed in the U.S.A. A NEW VLA–HIPPARCOS DISTANCE TO BETELGEUSE AND ITS IMPLICATIONS Graham M. Harper1, Alexander Brown1, and Edward F. Guinan2 1 Center for Astrophysics and Space Astronomy, University of Colorado, Boulder, CO 80309, USA; [email protected], [email protected] 2 Department of Astronomy and Astrophysics, Villanova University, PA 19085, USA; [email protected] Received 2007 November 2; accepted 2008 February 8; published 2008 March 10 ABSTRACT The distance to the M supergiant Betelgeuse is poorly known, with the Hipparcos parallax having a significant uncertainty. For detailed numerical studies of M supergiant atmospheres and winds, accurate distances are a pre- requisite to obtaining reliable estimates for many stellar parameters. New high spatial resolution, multiwavelength, NRAO3 Very Large Array (VLA) radio positions of Betelgeuse have been obtained and then combined with Hipparcos Catalogue Intermediate Astrometric Data to derive new astrometric solutions. These new solutions indicate a smaller parallax, and hence greater distance (197 ± 45 pc), than that given in the original Hipparcos Catalogue (131 ± 30 pc) and in the revised Hipparcos reduction. They also confirm smaller proper motions in both right ascension and declination, as found by previous radio observations. We examine the consequences of the revised astrometric solution on Betelgeuse’s interaction with its local environment, on its stellar properties, and its kinematics. We find that the most likely star-formation scenario for Betelgeuse is that it is a runaway star from the Ori OB1 association and was originally a member of a high-mass multiple system within Ori OB1a. -
50 Years of Existence of the European Southern Observatory (ESO) 30 Years of Swiss Membership with the ESO
Federal Department for Economic Affairs, Education and Research EAER State Secretariat for Education, Research and Innovation SERI 50 years of existence of the European Southern Observatory (ESO) 30 years of Swiss membership with the ESO The European Southern Observatory (ESO) was founded in Paris on 5 October 1962. Exactly half a century later, on 5 October 2012, Switzerland organised a com- memoration ceremony at the University of Bern to mark ESO’s 50 years of existence and 30 years of Swiss membership with the ESO. This article provides a brief summary of the history and milestones of Swiss member- ship with the ESO as well as an overview of the most important achievements and challenges. Switzerland’s route to ESO membership Nearly twenty years after the ESO was founded, the time was ripe for Switzerland to apply for membership with the ESO. The driving forces on the academic side included the Universi- ty of Geneva and the University of Basel, which wanted to gain access to the most advanced astronomical research available. In 1980, the Federal Council submitted its Dispatch on Swiss membership with the ESO to the Federal Assembly. In 1981, the Federal Assembly adopted a federal decree endorsing Swiss membership with the ESO. In 1982, the Swiss Confederation filed the official documents for ESO membership in Paris. In 1982, Switzerland paid the initial membership fee and, in 1983, the first year’s member- ship contributions. High points of Swiss participation In 1987, the Federal Council issued a federal decree on Swiss participation in the ESO’s Very Large Telescope (VLT) to be built at the Paranal Observatory in the Chilean Atacama Desert. -
A First Reconnaissance of the Atmospheres of Terrestrial Exoplanets Using Ground-Based Optical Transits and Space-Based UV Spectra
A First Reconnaissance of the Atmospheres of Terrestrial Exoplanets Using Ground-Based Optical Transits and Space-Based UV Spectra The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters Citation Diamond-Lowe, Hannah Zoe. 2020. A First Reconnaissance of the Atmospheres of Terrestrial Exoplanets Using Ground-Based Optical Transits and Space-Based UV Spectra. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences. Citable link https://nrs.harvard.edu/URN-3:HUL.INSTREPOS:37365825 Terms of Use This article was downloaded from Harvard University’s DASH repository, and is made available under the terms and conditions applicable to Other Posted Material, as set forth at http:// nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of- use#LAA A first reconnaissance of the atmospheres of terrestrial exoplanets using ground-based optical transits and space-based UV spectra A DISSERTATION PRESENTED BY HANNAH ZOE DIAMOND-LOWE TO THE DEPARTMENT OF ASTRONOMY IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY IN THE SUBJECT OF ASTRONOMY HARVARD UNIVERSITY CAMBRIDGE,MASSACHUSETTS MAY 2020 c 2020 HANNAH ZOE DIAMOND-LOWE.ALL RIGHTS RESERVED. ii Dissertation Advisor: David Charbonneau Hannah Zoe Diamond-Lowe A first reconnaissance of the atmospheres of terrestrial exoplanets using ground-based optical transits and space-based UV spectra ABSTRACT Decades of ground-based, space-based, and in some cases in situ measurements of the Solar System terrestrial planets Mercury, Venus, Earth, and Mars have provided in- depth insight into their atmospheres, yet we know almost nothing about the atmospheres of terrestrial planets orbiting other stars. -
Measuring the Astronomical Unit from Your Backyard Two Astronomers, Using Amateur Equipment, Determined the Scale of the Solar System to Better Than 1%
Measuring the Astronomical Unit from Your Backyard Two astronomers, using amateur equipment, determined the scale of the solar system to better than 1%. So can you. By Robert J. Vanderbei and Ruslan Belikov HERE ON EARTH we measure distances in millimeters and throughout the cosmos are based in some way on distances inches, kilometers and miles. In the wider solar system, to nearby stars. Determining the astronomical unit was as a more natural standard unit is the tUlronomical unit: the central an issue for astronomy in the 18th and 19th centu· mean distance from Earth to the Sun. The astronomical ries as determining the Hubble constant - a measure of unit (a.u.) equals 149,597,870.691 kilometers plus or minus the universe's expansion rate - was in the 20th. just 30 meters, or 92,955.807.267 international miles plus or Astronomers of a century and more ago devised various minus 100 feet, measuring from the Sun's center to Earth's ingenious methods for determining the a. u. In this article center. We have learned the a. u. so extraordinarily well by we'll describe a way to do it from your backyard - or more tracking spacecraft via radio as they traverse the solar sys precisely, from any place with a fairly unobstructed view tem, and by bouncing radar Signals off solar.system bodies toward the east and west horizons - using only amateur from Earth. But we used to know it much more poorly. equipment. The method repeats a historic experiment per This was a serious problem for many brancht:s of as formed by Scottish astronomer David Gill in the late 19th tronomy; the uncertain length of the astronomical unit led century. -
Measuring the Speed of Light and the Moon Distance with an Occultation of Mars by the Moon: a Citizen Astronomy Campaign
Measuring the speed of light and the moon distance with an occultation of Mars by the Moon: a Citizen Astronomy Campaign Jorge I. Zuluaga1,2,3,a, Juan C. Figueroa2,3, Jonathan Moncada4, Alberto Quijano-Vodniza5, Mario Rojas5, Leonardo D. Ariza6, Santiago Vanegas7, Lorena Aristizábal2, Jorge L. Salas8, Luis F. Ocampo3,9, Jonathan Ospina10, Juliana Gómez3, Helena Cortés3,11 2 FACom - Instituto de Física - FCEN, Universidad de Antioquia, Medellín-Antioquia, Colombia 3 Sociedad Antioqueña de Astronomía, Medellín-Antioquia, Colombia 4 Agrupación Castor y Pollux, Arica, Chile 5 Observatorio Astronómico Universidad de Nariño, San Juan de Pasto-Nariño, Colombia 6 Asociación de Niños Indagadores del Cosmos, ANIC, Bogotá, Colombia 7 Organización www.alfazoom.info, Bogotá, Colombia 8 Asociación Carabobeña de Astronomía, San Diego-Carabobo, Venezuela 9 Observatorio Astronómico, Instituto Tecnológico Metropolitano, Medellín, Colombia 10 Sociedad Julio Garavito Armero para el Estudio de la Astronomía, Medellín, Colombia 11 Planetario de Medellín, Parque Explora, Medellín, Colombia ABSTRACT In July 5th 2014 an occultation of Mars by the Moon was visible in South America. Citizen scientists and professional astronomers in Colombia, Venezuela and Chile performed a set of simple observations of the phenomenon aimed to measure the speed of light and lunar distance. This initiative is part of the so called “Aristarchus Campaign”, a citizen astronomy project aimed to reproduce observations and measurements made by astronomers of the past. Participants in the campaign used simple astronomical instruments (binoculars or small telescopes) and other electronic gadgets (cell-phones and digital cameras) to measure occultation times and to take high resolution videos and pictures. In this paper we describe the results of the Aristarchus Campaign. -