Terraforming the Dwarf Planet: Interconnected and Growable Ceres Megasatellite World
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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!). -
Graham Jones
Ni{ i Vizantija XIV 629 Graham Jones SEEDS OF SANCTITY: CONSTANTINE’S CITY AND CIVIC HONOURING OF HIS MOTHER HELENA Of cities and citizens in the Byzantine world, Constantinople and its people stand preeminent. A recent remark that the latter ‘strove in everything to be worthy of the Mother of God, to Whom the city was dedicated by St Constantine the Great in 330’ follows a deeply embedded pious narrative in which state and church intertwine in the city’s foundation as well as its subse- quent fortunes. Sadly, it perpetuates a flawed reading of the emperor’s place in the political and religious landscape. For a more nuanced and considered view we have only to turn to Vasiliki Limberis’ masterly account of politico-religious civic transformation from the reign of Constantine to that of Justinian. In the concluding passage of Divine Heiress: The Virgin Mary and the Creation of Christianity, Limberis reaffirms that ‘Constantinople had no strong sectarian Christian tradition. Christianity was new to the city, and it was introduced at the behest of the emperor.’ Not only did the civic ceremonies of the imperial cult remain ‘an integral part of life in the city, breaking up the monotony of everyday existence’. Hecate, Athena, Demeter and Persephone, and Isis had also enjoyed strong presences in the city, some of their duties and functions merging into those of two protector deities, Tyche Constantinopolis, tutelary guardian of the city and its fortune, and Rhea, Mother of the Gods. These two continued to be ‘deeply ingrained in the religious cultural fabric of Byzantium.. -
Mining Outer Space: Who Owns the Asteroids?
G THE B IN EN V C R H E S A N 8 8 D 8 B 1 AR SINCE WWW. NYLJ.COM VOLUME 254—NO. 19 WEDNESDAY, JULY 29, 2015 Outside Counsel Expert Analysis Mining Outer Space: Who Owns the Asteroids? ver the last two years, U.S. outer space. Most relate to navigation and business and policy makers By space flight—reflecting the aspirations have focused afresh on the Timothy G. (and limits) of the era. Two, however, commercial possibilities of the Nelson are potentially relevant: Article I of the asteroids—the solar system’s OST states that “[t]he exploration and use Ominor planetary objects. Most of these of outer space, including the moon and are located between Mars and Jupiter, other celestial bodies, shall be carried out while some are closer to Earth. Some The ‘Law’ of Space for the benefit and in the interests of all have large deposits of precious metals countries, irrespective of their degree of and other potentially valuable substanc- Until the Sputnik launch in the 1950s, economic or scientific development, and es.1 In the last few years, some private few steps had been taken in defining the shall be the province of all mankind.”8 operators have announced plans to mine legal rules relating to outer space. Indeed, Article II states that “[o]uter space, includ- them commercially, a concept that, until the only circumstance in which “owner- ing the moon and other celestial bodies, now, has been exclusively the realm of ship of space minerals” was relevant was is not subject to national appropriation science fiction.2 if someone was fortunate (or unfortunate) by claim of sovereignty, by means of use In apparent response to these initiatives, or occupation, or by any other means.”9 the House of Representatives recently The legal status of mining in Together, these articles mean that passed the “Space Resource Exploration space cannot be subdivided into national and Utilization Act of 2015,” H.R. -
Meteors, Meteoroids, and Meteorites by Cindy Grigg
Meteors, Meteoroids, and Meteorites By Cindy Grigg 1 Have you ever seen a falling star? You really saw a meteor. A meteor is a bright streak of light we see in the sky. It only lasts for a few seconds. People often call meteors shooting stars or falling stars because they look like stars falling from the sky. People sometimes call the brightest meteors fireballs. While it is in space, it is called a meteoroid. Meteoroids that reach the Earth are called meteorites. 2 A meteor appears when a chunk of metallic or stony matter called a meteoroid enters the Earth's atmosphere from outer space. Air friction heats the meteoroid so that it glows. It creates a shining trail of gases and melted meteoroid particles. Most meteoroids burn up before reaching the Earth. Some leave a trail that lasts several seconds. Millions of meteors occur in the Earth's atmosphere every day. Most meteoroids that cause meteors are about the size of a pebble. 3 Meteoroids travel around the sun in different orbits and at different speeds. The fastest ones move at about 26 miles per second. The Earth travels at about 18 miles per second. So when meteoroids meet the Earth's atmosphere head-on, the combined speed may reach about 44 miles per second, or 264 miles per hour! 4 The Earth meets a number of clusters of tiny meteoroids at certain times every year. At these times, the sky seems filled with a shower of sparks. These clusters have orbits like comets and are believed to be pieces of comets. -
Meteoroid Stream Formation Due to the Extraction of Space Resources from Asteroids
Meteoroid Stream Formation Due to the Extraction of Space Resources from Asteroids Logan Fladeland(1), Aaron C. Boley(2), and Michael Byers(3) (1) UBC, Department of Physics and Astronomy, 6224 Agricultural Rd, Vancouver, BC V6T 1Z1 (Canada), [email protected] (2) UBC, Department of Physics and Astronomy, 6224 Agricultural Rd, Vancouver, BC V6T 1Z1 (Canada), [email protected] (3) UBC, Department of Political Science, 1866 Main Mall C425, Vancouver, BC V6T 1Z1 (Canada), [email protected] ABSTRACT Asteroid mining is not necessarily a distant prospect. Building on the earlier mission Hayabusa, two spacecraft (Hayabusa2 and OSIRIS-REx) have recently rendezvoused with near-Earth asteroids and will return samples to Earth. While there is significant science motivation for these missions, there are also resource interests. Space agencies and commercial entities are particularly interested in ices and water-bearing minerals that could be used to produce rocket fuel in deep space. The internationally coordinated roadmaps of major space agencies depend on utilizing the natural resources of such celestial bodies. Several companies have already created plans for intercepting and extracting water and minerals from near-Earth objects, as even a small asteroid could have high economic worth. The low surface gravity of asteroids could make the release of mining waste and the subsequent formation of debris streams a consequence of asteroid mining. Proposed strategies that would contain material during extraction could be inefficient or could still require the purposeful jettison of mining waste to avoid the need to manage unwanted mass. Since all early mining targets are expected to be near-Earth asteroids due to their orbital accessibility, these streams could be Earth-crossing and create risks for Earth and lunar satellite populations, as well as humans and equipment on the lunar surface. -
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. -
Jupitor's Great Red Spot
GREAT RED SPOT appears somewhat orange in this remarkably ly ranged from '.'full gray" and "pinkish" to "brick red" and "car· detailed photograph made at the Lunar and Planetary Laboratory mine." The photograph was made on December 23, 1966, by Alika of the University of Arizona. During the century or so that Jupiter's Herring and John Fountain, who used a 61·inch reflecting tele· great red spot bas been closely observed its color has reported. scope. The exposure was one second on High Speed Ektachrome. © 1968 SCIENTIFIC AMERICAN, INC JUPITER'S GREAT RED SPOT There is evidence to suggest that this peculiar Inarking is the top of a "Taylor cohunn": a stagnant region above a bll111p 01' depression at the botton1 of a circulating fluid by Haymond Hide he surface markings of the plan To explain the fluctuations in the red tals suspended in an atmosphere that is Tets have always had a special fas spot's period of rotation one must assume mainly hydrogen admixed with water cination, and no single marking that there are forces acting on the solid and perhaps methane and helium. Other has been more fascinating and puzzling planet capable of causing an equivalent lines of evidence, particularly the fact than the great red spot of Jupiter. Un change in its rotation period. In other that Jupiter's density is only 1.3 times like the elusive "canals" of Mars, the red words, the fluctuations in the rotation the density of water, suggest that the spot unmistakably exists. Although it has period of the red spot are to be regarded main constituents of the planet are hy been known to fade and change color, it as a true reflection of the rotation period drogen and helium. -
Calendar of Roman Events
Introduction Steve Worboys and I began this calendar in 1980 or 1981 when we discovered that the exact dates of many events survive from Roman antiquity, the most famous being the ides of March murder of Caesar. Flipping through a few books on Roman history revealed a handful of dates, and we believed that to fill every day of the year would certainly be impossible. From 1981 until 1989 I kept the calendar, adding dates as I ran across them. In 1989 I typed the list into the computer and we began again to plunder books and journals for dates, this time recording sources. Since then I have worked and reworked the Calendar, revising old entries and adding many, many more. The Roman Calendar The calendar was reformed twice, once by Caesar in 46 BC and later by Augustus in 8 BC. Each of these reforms is described in A. K. Michels’ book The Calendar of the Roman Republic. In an ordinary pre-Julian year, the number of days in each month was as follows: 29 January 31 May 29 September 28 February 29 June 31 October 31 March 31 Quintilis (July) 29 November 29 April 29 Sextilis (August) 29 December. The Romans did not number the days of the months consecutively. They reckoned backwards from three fixed points: The kalends, the nones, and the ides. The kalends is the first day of the month. For months with 31 days the nones fall on the 7th and the ides the 15th. For other months the nones fall on the 5th and the ides on the 13th. -
Alpha Orionis (Betelgeuse)
AAVSO: Alpha Ori, December 2000 Variable Star Of The Month Variable Star Of The Month December, 2000: Alpha Orionis (Betelgeuse) Atmosphere of Betelgeuse - Alpha Orionis Hubble Space Telescope - Faint Object Camera January 15, 1996; A. Dupree (CfA), NASA, ESA From the city or country sky, from almost any part of the world, the majestic figure of Orion dominates overhead this time of year with his belt, sword, and club. High in his left shoulder (for those of us in the northern hemisphere) is the great red pulsating supergiant, Betelgeuse (Alpha Orionis 0549+07). Recently acquiring fame for being the first star to have its atmosphere directly imaged (shown above), Alpha Orionis has captivated observers’ attention for centuries. Betelgeuse's variability was first noticed by Sir John Herschel in 1836. In his Outlines of Astronomy, published in 1849, Herschel wrote “The variations of Alpha Orionis, which were most striking and unequivocal in the years 1836-1840, within the years since elapsed became much less conspicuous…” In 1849 the variations again began to increase in amplitude, and in December 1852 it was thought by Herschel to be “actually the largest [brightest] star in the northern hemisphere”. Indeed, when at maximum, Betelgeuse sometimes rises to magnitude 0.4 when it becomes a fierce competitor to Rigel; in 1839 and 1852 it was thought by some observers to be nearly the equal of Capella. Observations by the observers of the AAVSO indicate that Betelgeuse probably reached magnitude 0.2 in 1933 and again in 1942. At minimum brightness, as in 1927 and 1941, the magnitude may drop below 1.2. -
SPITZER SPACE TELESCOPE MID-IR LIGHT CURVES of NEPTUNE John Stauffer1, Mark S
The Astronomical Journal, 152:142 (8pp), 2016 November doi:10.3847/0004-6256/152/5/142 © 2016. The American Astronomical Society. All rights reserved. SPITZER SPACE TELESCOPE MID-IR LIGHT CURVES OF NEPTUNE John Stauffer1, Mark S. Marley2, John E. Gizis3, Luisa Rebull1,4, Sean J. Carey1, Jessica Krick1, James G. Ingalls1, Patrick Lowrance1, William Glaccum1, J. Davy Kirkpatrick5, Amy A. Simon6, and Michael H. Wong7 1 Spitzer Science Center (SSC), California Institute of Technology, Pasadena, CA 91125, USA 2 NASA Ames Research Center, Space Sciences and Astrobiology Division, MS245-3, Moffett Field, CA 94035, USA 3 Department of Physics and Astronomy, University of Delaware, Newark, DE 19716, USA 4 Infrared Science Archive (IRSA), 1200 E. California Boulevard, MS 314-6, California Institute of Technology, Pasadena, CA 91125, USA 5 Infrared Processing and Analysis Center, MS 100-22, California Institute of Technology, Pasadena, CA 91125, USA 6 NASA Goddard Space Flight Center, Solar System Exploration Division (690.0), 8800 Greenbelt Road, Greenbelt, MD 20771, USA 7 University of California, Department of Astronomy, Berkeley CA 94720-3411, USA Received 2016 July 13; revised 2016 August 12; accepted 2016 August 15; published 2016 October 27 ABSTRACT We have used the Spitzer Space Telescope in 2016 February to obtain high cadence, high signal-to-noise, 17 hr duration light curves of Neptune at 3.6 and 4.5 μm. The light curve duration was chosen to correspond to the rotation period of Neptune. Both light curves are slowly varying with time, with full amplitudes of 1.1 mag at 3.6 μm and 0.6 mag at 4.5 μm.