Lesson 3 the Planets
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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!). -
Planet Positions: 1 Planet Positions
Planet Positions: 1 Planet Positions As the planets orbit the Sun, they move around the celestial sphere, staying close to the plane of the ecliptic. As seen from the Earth, the angle between the Sun and a planet -- called the elongation -- constantly changes. We can identify a few special configurations of the planets -- those positions where the elongation is particularly noteworthy. The inferior planets -- those which orbit closer INFERIOR PLANETS to the Sun than Earth does -- have configurations as shown: SC At both superior conjunction (SC) and inferior conjunction (IC), the planet is in line with the Earth and Sun and has an elongation of 0°. At greatest elongation, the planet reaches its IC maximum separation from the Sun, a value GEE GWE dependent on the size of the planet's orbit. At greatest eastern elongation (GEE), the planet lies east of the Sun and trails it across the sky, while at greatest western elongation (GWE), the planet lies west of the Sun, leading it across the sky. Best viewing for inferior planets is generally at greatest elongation, when the planet is as far from SUPERIOR PLANETS the Sun as it can get and thus in the darkest sky possible. C The superior planets -- those orbiting outside of Earth's orbit -- have configurations as shown: A planet at conjunction (C) is lined up with the Sun and has an elongation of 0°, while a planet at opposition (O) lies in the opposite direction from the Sun, at an elongation of 180°. EQ WQ Planets at quadrature have elongations of 90°. -
The Midnight Sky: Familiar Notes on the Stars and Planets, Edward Durkin, July 15, 1869 a Good Way to Start – Find North
The expression "dog days" refers to the period from July 3 through Aug. 11 when our brightest night star, SIRIUS (aka the dog star), rises in conjunction* with the sun. Conjunction, in astronomy, is defined as the apparent meeting or passing of two celestial bodies. TAAS Fabulous Fifty A program for those new to astronomy Friday Evening, July 20, 2018, 8:00 pm All TAAS and other new and not so new astronomers are welcome. What is the TAAS Fabulous 50 Program? It is a set of 4 meetings spread across a calendar year in which a beginner to astronomy learns to locate 50 of the most prominent night sky objects visible to the naked eye. These include stars, constellations, asterisms, and Messier objects. Methodology 1. Meeting dates for each season in year 2018 Winter Jan 19 Spring Apr 20 Summer Jul 20 Fall Oct 19 2. Locate the brightest and easiest to observe stars and associated constellations 3. Add new prominent constellations for each season Tonight’s Schedule 8:00 pm – We meet inside for a slide presentation overview of the Summer sky. 8:40 pm – View night sky outside The Midnight Sky: Familiar Notes on the Stars and Planets, Edward Durkin, July 15, 1869 A Good Way to Start – Find North Polaris North Star Polaris is about the 50th brightest star. It appears isolated making it easy to identify. Circumpolar Stars Polaris Horizon Line Albuquerque -- 35° N Circumpolar Stars Capella the Goat Star AS THE WORLD TURNS The Circle of Perpetual Apparition for Albuquerque Deneb 1 URSA MINOR 2 3 2 URSA MAJOR & Vega BIG DIPPER 1 3 Draco 4 Camelopardalis 6 4 Deneb 5 CASSIOPEIA 5 6 Cepheus Capella the Goat Star 2 3 1 Draco Ursa Minor Ursa Major 6 Camelopardalis 4 Cassiopeia 5 Cepheus Clock and Calendar A single map of the stars can show the places of the stars at different hours and months of the year in consequence of the earth’s two primary movements: Daily Clock The rotation of the earth on it's own axis amounts to 360 degrees in 24 hours, or 15 degrees per hour (360/24). -
Disrupted Solar Transit at 140 Mhz Over the Mexican Array Radio Telescope Due Space Weather Events
URSI AP-RASC 2019, New Delhi, India; 09 - 15 March 2019 Disrupted Solar Transit at 140 MHz over the Mexican Array Radio Telescope due Space Weather Events *Victor De la Luz(1)(2), Julio Mejia-Ambriz(1)(2), and Americo Gonzalez(2) (1) Conacyt, Servicio de Clima Espacial Mexico, Morelia, Mexico. 58190. http://www.sciesmex.unam.mx (2) Instituto de Geofisica, Unidad Michoacan, UNAM, Morelia, Mexico. 58190. Abstract Figure 2 show two solar transits centered at peak, for 22 (green line, quiet) and 26 (blue line, close to the solar flare) In this work we present the records of the disrupted so- June, 2015. We observed clearly the changes of amplitude lar transits at 140 MHz at Mexican Array Radio Telescope of the signal. (MEXART) related with active regionsand a solar flare dur- ing the week of June 20 - 26, 2015. 4 Conclusions 1 Introduction We show that space weather, in particular solar flares, mod- ifies the antenna pattern related with solar transit in the MEXART at 140 MHz. The increase in the flux saturated The transit instrument Mexican Array Radio Telescope the instrument at June 22. For this reasson, we used the 5Th (MEXART) is located in Coeneo, Mexico. Their main pro- lateral left lobe to characterize the increase of the flux. We pose is record extra-galactic radio source to observe the observed that at peak, the flux increases 16 mV in the max- interplanetary scintillation (IPS) [3]. The radio telescope imum level at June 22, 2015 compared against the baseline have central frequency of 139.65 MHz and bandwidth of 2 of the transit in quiet conditions. -
1 Comparison of Solar Evaluation Tools
COMPARISON OF SOLAR EVALUATION TOOLS: FROM LEARNING TO PRACTICE Sophia Duluk Heather Nelson Department of Architecture Department of Architecture University of Oregon University of Oregon Eugene, OR 97403 Eugene, OR 97403 Email: [email protected] Email: [email protected] Alison Kwok Department of Architecture University of Oregon Eugene, OR 97403 Email: [email protected] ABSTRACT obstacles to the use of software and a number of misunderstandings about principles and concepts of solar Solar tools and software have evolved in the last ten years to radiation. These can cause under- or overestimations, assist designers in evaluating a site for shading, solar access, leading to heavy energy consequences when handling daylighting design, photovoltaic placement, and passive building loads and thermal comfort. solar heating potential. This paper presents a comparative evaluation of solar site analysis tools as base cases for This study focuses on comparing six tools readily available evaluation. We present the results from on site to design professionals: Solar Transit (1), Solar Pathfinder measurements, software predictions, output accuracy, ease (http://www.solarpathfinder.com/index), Solmetric Suneye of use, design inputs needed for Passive House Planning (http://www.solmetric.com), HORIcatcher+Meteonorm Protocol (PHPP), and other criteria to discuss the (http://www.meteotest.ch/en/footernavi/solar_energy/horicat capabilities of the tools in education and in architectural cher/) and two iPhone applications. Additionally, the study design practice. We compare six tools: Solar Transit, Solar will examine shading protocols used for the Passive House Pathfinder + Solar Pathfinder Assistant software, Solmetric Planning Package (PHPP) to see how the tools compare to Suneye + Thermal Assistant Software, HORIcatcher + the PHPP shading assumptions, and determine the Meteonorm, and two iPhone applications. -
Dawn Spacecraft Begins Approach to Dwarf Planet Ceres 30 December 2014, by Elizabeth Landau
Dawn spacecraft begins approach to dwarf planet Ceres 30 December 2014, by Elizabeth Landau 2012, capturing detailed images and data about that body. "Ceres is almost a complete mystery to us," said Christopher Russell, principal investigator for the Dawn mission, based at the University of California, Los Angeles. "Ceres, unlike Vesta, has no meteorites linked to it to help reveal its secrets. All we can predict with confidence is that we will be surprised." The two planetary bodies are thought to be different in a few important ways. Ceres may have formed later than Vesta, and with a cooler interior. Current evidence suggests that Vesta only retained a small This artist's concept shows NASA's Dawn spacecraft amount of water because it formed earlier, when heading toward the dwarf planet Ceres. Credit: radioactive material was more abundant, which NASA/JPL-Caltech would have produced more heat. Ceres, in contrast, has a thick ice mantle and may even have an ocean beneath its icy crust. (Phys.org)—NASA's Dawn spacecraft has entered Ceres, with an average diameter of 590 miles (950 an approach phase in which it will continue to close kilometers), is also the largest body in the asteroid in on Ceres, a Texas-sized dwarf planet never belt, the strip of solar system real estate between before visited by a spacecraft. Dawn launched in Mars and Jupiter. By comparison, Vesta has an 2007 and is scheduled to enter Ceres orbit in average diameter of 326 miles (525 kilometers), March 2015. and is the second most massive body in the belt. -
Nimbus-7 Earth Radiation Budget Calibration History--Part I: the Solar Channels
NASA Reference Publication 1316 1993 Nimbus-7 Earth Radiation Budget Calibration History--Part I: The Solar Channels H. Lee Kyle Goddard Space Flight Center Greenbelt, Maryland Douglas V. Hoyt Brenda J. Vallette Research and Data Systems Corporation Greenbelt, Maryland John R. Hickey The Eppley Laboratories Newport, Rhode Island Robert H. Maschhoff Gulton Industries Albuquerque, New Mexico National Aeronautics and Space Administration Scientific and Technical Information Branch ACRONYMS AND ABBREVIATIONS ACRIM Active Cavity Radiometer Irradiance Monitor A/D analog to digital convertor APEX Advanced Photovoltaic Experiment CZCS Coastal Zone Color Scanner DSAS Digital Solar Aspect Sensor ERB Earth Radiation Budget ERBS Earth Radiation Budget Satellite FOV field of view H-F Hickey-Frieden Cavity Radiometer IPS International Pyrheliometric Standard JPL Jet Propulsion Laboratory LDEF Long Duration Exposure Facility LIMS Limb Infrared Monitor of the Stratosphere NASA National Aeronautics and Space Administration NIP Normal Incidence Pyrheliometer NSSDC National Space Science Data Center PEERBEC Passive Exposure Earth Radiation Budget Experiment Components ppm parts per million RSM reference sensor model SEFDT Solar Earth Flux Data Tapes SMM Solar Maximum Mission SMMR Scanning Multichannel Microwave Radiometer UARS Upper Atmosphere Research Satellite UV ultraviolet WRR World Radiometric Reference iii TABLE OF CONTENTS Section 1. INTRODUCTION ............................................ 1 o THE HICKEY-FRIEDEN (H-F) CAVITY RADIOMETER .................. -
Planetary Diameters in the Sürya-Siddhänta DR
Planetary Diameters in the Sürya-siddhänta DR. RICHARD THOMPSON Bhaktivedanta Institute, P.O. Box 52, Badger, CA 93603 Abstract. This paper discusses a rule given in the Indian astronomical text Sürya-siddhänta for comput- ing the angular diameters of the planets. I show that this text indicates a simple formula by which the true diameters of these planets can be computed from their stated angular diameters. When these computations are carried out, they give values for the planetary diameters that agree surprisingly well with modern astronomical data. I discuss several possible explanations for this, and I suggest that the angular diameter rule in the Sürya-siddhänta may be based on advanced astronomical knowledge that was developed in ancient times but has now been largely forgotten. In chapter 7 of the Sürya-siddhänta, the 13th çloka gives the following rule for calculating the apparent diameters of the planets Mars, Saturn, Mercury, Jupiter, and Venus: 7.13. The diameters upon the moon’s orbit of Mars, Saturn, Mercury, and Jupiter, are de- clared to be thirty, increased successively by half the half; that of Venus is sixty.1 The meaning is as follows: The diameters are measured in a unit of distance called the yojana, which in the Sürya-siddhänta is about five miles. The phrase “upon the moon’s orbit” means that the planets look from our vantage point as though they were globes of the indicated diameters situated at the distance of the moon. (Our vantage point is ideally the center of the earth.) Half the half of 30 is 7.5. -
Radio Astronomy
Edition of 2013 HANDBOOK ON RADIO ASTRONOMY International Telecommunication Union Sales and Marketing Division Place des Nations *38650* CH-1211 Geneva 20 Switzerland Fax: +41 22 730 5194 Printed in Switzerland Tel.: +41 22 730 6141 Geneva, 2013 E-mail: [email protected] ISBN: 978-92-61-14481-4 Edition of 2013 Web: www.itu.int/publications Photo credit: ATCA David Smyth HANDBOOK ON RADIO ASTRONOMY Radiocommunication Bureau Handbook on Radio Astronomy Third Edition EDITION OF 2013 RADIOCOMMUNICATION BUREAU Cover photo: Six identical 22-m antennas make up CSIRO's Australia Telescope Compact Array, an earth-rotation synthesis telescope located at the Paul Wild Observatory. Credit: David Smyth. ITU 2013 All rights reserved. No part of this publication may be reproduced, by any means whatsoever, without the prior written permission of ITU. - iii - Introduction to the third edition by the Chairman of ITU-R Working Party 7D (Radio Astronomy) It is an honour and privilege to present the third edition of the Handbook – Radio Astronomy, and I do so with great pleasure. The Handbook is not intended as a source book on radio astronomy, but is concerned principally with those aspects of radio astronomy that are relevant to frequency coordination, that is, the management of radio spectrum usage in order to minimize interference between radiocommunication services. Radio astronomy does not involve the transmission of radiowaves in the frequency bands allocated for its operation, and cannot cause harmful interference to other services. On the other hand, the received cosmic signals are usually extremely weak, and transmissions of other services can interfere with such signals. -
Transit of Venus M
National Aeronautics and Space Administration The Transit of Venus June 5/6, 2012 HD209458b (HST) The Transit of Venus June 5/6, 2012 Transit of Venus Mathof Venus Transit Top Row – Left image - Photo taken at the US Naval Math Puzzler 3 - The duration of the transit depends Observatory of the 1882 transit of Venus. Middle on the relative speeds between the fast-moving image - The cover of Harpers Weekly for 1882 Venus in its orbit and the slower-moving Earth in its showing children watching the transit of Venus. orbit. This speed difference is known to be 5.24 km/sec. If the June 5, 2012, transit lasts 24,000 Right image – Image from NASA's TRACE satellite seconds, during which time the planet moves an of the transit of Venus, June 8, 2004. angular distance of 0.17 degrees across the sun as Middle - Geometric sketches of the transit of Venus viewed from Earth, what distance between Earth and by James Ferguson on June 6, 1761 showing the Venus allows the distance traveled by Venus along its shift in the transit chords depending on the orbit to subtend the observed angle? observer's location on Earth. The parallax angle is related to the distance between Earth and Venus. Determining the Astronomical Unit Bottom – Left image - NOAA GOES-12 satellite x-ray image showing the Transit of Venus 2004. Middle Based on the calculations of Nicolas Copernicus and image – An observer of the 2004 transit of Venus Johannes Kepler, the distances of the known planets wearing NASA’s Sun-Earth Day solar glasses for from the sun could be given rather precisely in terms safe viewing. -
Stellium Handbook Part
2 Donna Cunningham’s Books on the Outer Planets If you’re dealing with a stellium that contains one or more outer planets, these ebooks will help you understand their role in your chart and explore ways to change difficult patterns they represent. Since The Stellium Handbook can’t cover them in the depth they deserve, you’ll gain a greater perspective through these ebooks that devote entire chapters to the meanings of Uranus, Neptune, or Pluto in a variety of contexts. The Outer Planets and Inner Life volumes are $15 each if purchased separately, or $35 for all three—a $10 savings. To order, go to PayPal.com and tell them which books you want, Donna’s email address ([email protected]), and the amount. The ebooks arrive on separate emails. If you want them sent to an email address other than the one you used, let her know. The Outer Planets and Inner Life, V.1: The Outer Planets as Career Indicators. If your stellium has outer planets in the career houses (2nd, 6th, or 10th), or if it relates to your chosen career, this book can give you helpful insights. There’s an otherworldly element when the outer planets are career markers, a sense of serving a greater purpose in human history. Each chapter of this e-book explores one of these planets in depth. See an excerpt here. The Outer Planets and Inner Life, v.2: Outer Planet Aspects to Venus and Mars. Learn about the love lives of people who have the outer planets woven in with the primary relationship planets, Venus and Mars, or in the relationship houses—the 7th, 8th, and 5th. -
Satellite Data Communications Link Requirements for a Proposed Flight Simulation System
Theses - Daytona Beach Dissertations and Theses 4-1994 Satellite Data Communications Link Requirements for a Proposed Flight Simulation System Gerald M. Kowalski Embry-Riddle Aeronautical University - Daytona Beach Follow this and additional works at: https://commons.erau.edu/db-theses Part of the Aviation Commons Scholarly Commons Citation Kowalski, Gerald M., "Satellite Data Communications Link Requirements for a Proposed Flight Simulation System" (1994). Theses - Daytona Beach. 266. https://commons.erau.edu/db-theses/266 This thesis is brought to you for free and open access by Embry-Riddle Aeronautical University – Daytona Beach at ERAU Scholarly Commons. It has been accepted for inclusion in the Theses - Daytona Beach collection by an authorized administrator of ERAU Scholarly Commons. For more information, please contact [email protected]. Gerald M. Kowalski A Thesis Submitted to the Office of Graduate Programs in Partial Fulfillment of the Requirements for the Degree of Master of Aeronautical Science Embry-Riddle Aeronautical University Daytona Beach, Florida April 1994 UMI Number: EP31963 INFORMATION TO USERS The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleed-through, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. UMI® UMI Microform EP31963 Copyright 2011 by ProQuest LLC All rights reserved. This microform edition is protected against unauthorized copying under Title 17, United States Code.