A Brief History of the Astronomy Basics All Grades Celestial
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Scienza E Cultura Universitalia
SCIENZA E CULTURA UNIVERSITALIA Costantino Sigismondi (ed.) ORBE NOVUS Astronomia e Studi Gerbertiani 1 Universitalia SIGISMONDI, Costantino (a cura di) Orbe Novus / Costantino Sigismondi Roma : Universitalia, 2010 158 p. ; 24 cm. – ( Scienza e Cultura ) ISBN … 1. Storia della Scienza. Storia della Chiesa. I. Sigismondi, Costantino. 509 – SCIENZE PURE, TRATTAMENTO STORICO 270 – STORIA DELLA CHIESA In copertina: Imago Gerberti dal medagliere capitolino e scritta ORBE NOVVS nell'epitaffio tombale di Silvestro II a S. Giovanni in Laterano (entrambe le foto sono di Daniela Velestino). Collana diretta da Rosalma Salina Borello e Luca Nicotra Prima edizione: maggio 2010 Universitalia INTRODUZIONE Introduzione Costantino Sigismondi L’edizione del convegno gerbertiano del 2009, in pieno anno internazionale dell’astronomia, si è tenuta nella Basilica di S. Maria degli Angeli e dei Martiri il 12 maggio, e a Seoul presso l’università Sejong l’11 giugno 2009. La scelta della Basilica è dovuta alla presenza della grande meridiana voluta dal papa Clemente XI Albani nel 1700, che ancora funziona e consente di fare misure di valore astrometrico. Il titolo di questi atti, ORBE NOVUS, è preso, come i precedenti, dall’epitaffio tombale di Silvestro II in Laterano, e vuole suggerire il legame con il “De Revolutionibus Orbium Coelestium” di Copernico, sebbene il contesto in cui queste parole sono tratte vuole inquadrare Gerberto nel suo ministero petrino come il nuovo pastore per tutto il mondo: UT FIERET PASTOR TOTO ORBE NOVVS. Elizabeth Cavicchi del Massachussets Institute of Technology, ha riflettuto sulle esperienze di ottica geometrica fatte da Gerberto con i tubi, nel contesto contemporaneo dello sviluppo dell’ottica nel mondo arabo con cui Gerberto era stato in contatto. -
Earth-Centred Universe
Earth-centred Universe The fixed stars appear on the celestial sphere Earth rotates in one sidereal day The solar day is longer by about 4 minutes → scattered sunlight obscures the stars by day The constellations are historical → learn to recognise: Ursa Major, Ursa Minor, Cassiopeia, Pegasus, Auriga, Gemini, Orion, Taurus Sun’s Motion in the Sky The Sun moves West to East against the background of Stars Stars Stars stars Us Us Us Sun Sun Sun z z z Start 1 sidereal day later 1 solar day later Compared to the stars, the Sun takes on average 3 min 56.5 sec extra to go round once The Sun does not travel quite at a constant speed, making the actual length of a solar day vary throughout the year Pleiades Stars near the Sun Sun Above the atmosphere: stars seen near the Sun by the SOHO probe Shield Sun in Taurus Image: Hyades http://sohowww.nascom.nasa.g ov//data/realtime/javagif/gifs/20 070525_0042_c3.gif Constellations Figures courtesy: K & K From The Beauty of the Heavens by C. F. Blunt (1842) The Celestial Sphere The celestial sphere rotates anti-clockwise looking north → Its fixed points are the north celestial pole and the south celestial pole All the stars on the celestial equator are above the Earth’s equator How high in the sky is the pole star? It is as high as your latitude on the Earth Motion of the Sky (animated ) Courtesy: K & K Pole Star above the Horizon To north celestial pole Zenith The latitude of Northern horizon Aberdeen is the angle at 57º the centre of the Earth A Earth shown in the diagram as 57° 57º Equator Centre The pole star is the same angle above the northern horizon as your latitude. -
The Baader Planetarium
1 THE BAADER PLANETARIUM INSTRUCTION MANUAL BAADER PLANETARIUM Zur Sternwarte M 82291 Mammendorf M Tel. 08145/8802 M Fax 08145/8805 www.baader-planetarium.de M [email protected] M www.celestron-deutschland.de 2 HINTS/TECHNICAL 1. YOUR PLANETARIUM OPERATES BY A DC MINIATUR MOTOR. IT'S LIFETIME IS THEREFORE LIMITED. PLEASE HAVE THE MOTOR USUALLY RUN IN THE SLOWEST SPEED POSSIBLE. FOR EXHIBITIONS OR PERMANENT DISPLAY A TIME LIMIT SWITCH IS A MUST. 2. DON'T HAVE THE SUNBULB WORKING IN THE HIGHEST STEP CONTINUOUSLY. THIS STEP IS FORSEEN ONLY FOR PROJECTING THE HEAVENS IF THE PLASTIC SUNCAP IS REMOVED. 3. CLOSE THE SPHERE AT ANY TIME POSSIBLE. HINTS/THEORETICAL 1. ESPECIALLY GIVE ATTENTION TO PAGE 5-3.F OF THE MANUAL. 2. CLOSE THE SPHERE SO THAT THE ORBIT LINES OF THE PLANETS INSIDE FIT CORRECTLY PAGE 6-5.A. 3. USUALLY DEMONSTRATE BY KEEPING THE EARTH'S ORBIT HORIZONTAL. 4. A SPECIAL EXPLANTATION FOR THE SEASONS IS POSSIBLE IF YOU TURN THE SPHERE TO A HORIZONTAL CELESTIAL EQUATOR. NOW THE EARTH MOVES UP AND DOWN ON ITS WAY AROUND THE SUN. MENTION THE APPEARING LIGHTPHASES. 5. REMEMBER THE GREATEST FINDING OF COPERNICUS: THE DISTANCE EARTH - SUN IS NEARLY ZERO COMPARED TO THE DISTANCE OF THE FIXED STARS. IN REALITY THE WHOLE SOLAR SYSTEM IN THE CELESTIAL SPHERE WOULD BE A PINPOINT IN THE CENTER. THIS HELPS TO UNDERSTAND THE MINUTE STELLAR PARALLAXE AND THE "FIXED" POSITION OF THE STARS COMPARED TO THE SUN'S CHANGING HEIGHT OVER THE HORIZON DURING THE YEAR. 3 INTRODUCTION For countless centuries the stars have been objects of mystery. -
The Longitude of the Mediterranean Throughout History: Facts, Myths and Surprises Luis Robles Macías
The longitude of the Mediterranean throughout history: facts, myths and surprises Luis Robles Macías To cite this version: Luis Robles Macías. The longitude of the Mediterranean throughout history: facts, myths and sur- prises. E-Perimetron, National Centre for Maps and Cartographic Heritage, 2014, 9 (1), pp.1-29. hal-01528114 HAL Id: hal-01528114 https://hal.archives-ouvertes.fr/hal-01528114 Submitted on 27 May 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. e-Perimetron, Vol. 9, No. 1, 2014 [1-29] www.e-perimetron.org | ISSN 1790-3769 Luis A. Robles Macías* The longitude of the Mediterranean throughout history: facts, myths and surprises Keywords: History of longitude; cartographic errors; comparative studies of maps; tables of geographical coordinates; old maps of the Mediterranean Summary: Our survey of pre-1750 cartographic works reveals a rich and complex evolution of the longitude of the Mediterranean (LongMed). While confirming several previously docu- mented trends − e.g. the adoption of erroneous Ptolemaic longitudes by 15th and 16th-century European cartographers, or the striking accuracy of Arabic-language tables of coordinates−, we have observed accurate LongMed values largely unnoticed by historians in 16th-century maps and noted that widely diverging LongMed values coexisted up to 1750, sometimes even within the works of one same author. -
The Magic of the Atwood Sphere
The magic of the Atwood Sphere Exactly a century ago, on June Dr. Jean-Michel Faidit 5, 1913, a “celestial sphere demon- Astronomical Society of France stration” by Professor Wallace W. Montpellier, France Atwood thrilled the populace of [email protected] Chicago. This machine, built to ac- commodate a dozen spectators, took up a concept popular in the eigh- teenth century: that of turning stel- lariums. The impact was consider- able. It sparked the genesis of modern planetariums, leading 10 years lat- er to an invention by Bauersfeld, engineer of the Zeiss Company, the Deutsche Museum in Munich. Since ancient times, mankind has sought to represent the sky and the stars. Two trends emerged. First, stars and constellations were easy, especially drawn on maps or globes. This was the case, for example, in Egypt with the Zodiac of Dendera or in the Greco-Ro- man world with the statue of Atlas support- ing the sky, like that of the Farnese Atlas at the National Archaeological Museum of Na- ples. But things were more complicated when it came to include the sun, moon, planets, and their apparent motions. Ingenious mecha- nisms were developed early as the Antiky- thera mechanism, found at the bottom of the Aegean Sea in 1900 and currently an exhibi- tion until July at the Conservatoire National des Arts et Métiers in Paris. During two millennia, the human mind and ingenuity worked constantly develop- ing and combining these two approaches us- ing a variety of media: astrolabes, quadrants, armillary spheres, astronomical clocks, co- pernican orreries and celestial globes, cul- minating with the famous Coronelli globes offered to Louis XIV. -
Models for Earth and Maps
Earth Models and Maps James R. Clynch, Naval Postgraduate School, 2002 I. Earth Models Maps are just a model of the world, or a small part of it. This is true if the model is a globe of the entire world, a paper chart of a harbor or a digital database of streets in San Francisco. A model of the earth is needed to convert measurements made on the curved earth to maps or databases. Each model has advantages and disadvantages. Each is usually in error at some level of accuracy. Some of these error are due to the nature of the model, not the measurements used to make the model. Three are three common models of the earth, the spherical (or globe) model, the ellipsoidal model, and the real earth model. The spherical model is the form encountered in elementary discussions. It is quite good for some approximations. The world is approximately a sphere. The sphere is the shape that minimizes the potential energy of the gravitational attraction of all the little mass elements for each other. The direction of gravity is toward the center of the earth. This is how we define down. It is the direction that a string takes when a weight is at one end - that is a plumb bob. A spirit level will define the horizontal which is perpendicular to up-down. The ellipsoidal model is a better representation of the earth because the earth rotates. This generates other forces on the mass elements and distorts the shape. The minimum energy form is now an ellipse rotated about the polar axis. -
The Sundial Cities
The Sundial Cities Joel Van Cranenbroeck, Belgium Keywords: Engineering survey;Implementation of plans;Positioning;Spatial planning;Urban renewal; SUMMARY When observing in our modern cities the sun shade gliding along the large surfaces of buildings and towers, an observer can notice that after all the local time could be deduced from the position of the sun. The highest building in the world - the Burj Dubai - is de facto the largest sundial ever designed. The principles of sundials can be understood most easily from an ancient model of the Sun's motion. Science has established that the Earth rotates on its axis, and revolves in an elliptic orbit about the Sun; however, meticulous astronomical observations and physics experiments were required to establish this. For navigational and sundial purposes, it is an excellent approximation to assume that the Sun revolves around a stationary Earth on the celestial sphere, which rotates every 23 hours and 56 minutes about its celestial axis, the line connecting the celestial poles. Since the celestial axis is aligned with the axis about which the Earth rotates, its angle with the local horizontal equals the local geographical latitude. Unlike the fixed stars, the Sun changes its position on the celestial sphere, being at positive declination in summer, at negative declination in winter, and having exactly zero declination (i.e., being on the celestial equator) at the equinoxes. The path of the Sun on the celestial sphere is known as the ecliptic, which passes through the twelve constellations of the zodiac in the course of a year. This model of the Sun's motion helps to understand the principles of sundials. -
Exploring the Reasons for the Seasons Using Google Earth, 3D Models, and Plots
International Journal of Digital Earth ISSN: 1753-8947 (Print) 1753-8955 (Online) Journal homepage: http://www.tandfonline.com/loi/tjde20 Exploring the reasons for the seasons using Google Earth, 3D models, and plots Declan G. De Paor, Mladen M. Dordevic, Paul Karabinos, Stephen Burgin, Filis Coba & Steven J. Whitmeyer To cite this article: Declan G. De Paor, Mladen M. Dordevic, Paul Karabinos, Stephen Burgin, Filis Coba & Steven J. Whitmeyer (2016): Exploring the reasons for the seasons using Google Earth, 3D models, and plots, International Journal of Digital Earth, DOI: 10.1080/17538947.2016.1239770 To link to this article: http://dx.doi.org/10.1080/17538947.2016.1239770 © 2016 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group Published online: 21 Oct 2016. Submit your article to this journal View related articles View Crossmark data Full Terms & Conditions of access and use can be found at http://www.tandfonline.com/action/journalInformation?journalCode=tjde20 Download by: [141.105.107.244] Date: 21 October 2016, At: 09:31 INTERNATIONAL JOURNAL OF DIGITAL EARTH, 2016 http://dx.doi.org/10.1080/17538947.2016.1239770 Exploring the reasons for the seasons using Google Earth, 3D models, and plots Declan G. De Paora , Mladen M. Dordevicb , Paul Karabinosc , Stephen Burgind , Filis Cobae and Steven J. Whitmeyerb aDepartments of Physics and Ocean, Earth, and Atmospheric Sciences, Old Dominion University, Norfolk, VA, USA; bDepartment of Geology and Environmental Science, James Madison University, Harrisonburg, VA, USA; cDepartment of Geosciences, Williams College, Williamstown, MA, USA; dDepartment of Curriculum and Instruction, University of Arkansas, Fayetteville, AR, USA; eDepartment of Physics, Old Dominion University, Norfolk, VA, USA ABSTRACT ARTICLE HISTORY Public understanding of climate and climate change is of broad societal Received 7 May 2016 importance. -
The Chandelier Model by Richard Thompson on April 27Th, 1976
September 2008 The Chandelier Model by Richard Thompson On April 27th, 1976, Srila Prabhupada wrote a letter to Svarupa Damodara Das discussing the universe as described in the 5th Canto of the Srimad Bhagavatam. He asked his disciples with Ph.D’s to study the 5th Canto with the aim of making a model of the universe for a Vedic Planetarium. In this essay I will outline how such a model could be designed. This model has been called the “chandelier model” since it hangs down from a point of suspension situated on the ceiling above it. Srila Prabhupada said, “My final decision is that the universe is just like a tree, with root upwards. Just as a tree has branches and leaves so the universe is also composed of planets which are fixed up in the tree like the leaves, flowers, fruits, etc. of the tree. The pivot is the pole star, and the whole tree is rotating on this pivot. Mount Sumeru is the center, trunk, and is like a steep hill... The tree is turning and therefore, all the branches and leaves turn with the tree. The planets have their fixed orbits, but still they are turning with the turning of the great tree. There are pathways leading from one planet to another made of gold, copper, etc., and these are like the branches. Distances are also described in the 5th Canto just how far one planet is from another. We can see that at night, how the whole planetary system is turning around, the pole star being the pivot. -
Lecture 25.Key
Astronomy 330: Extraterrestrial Life This class (Lecture 25): Evolution of Worldview Sean Sarcu Saloni Sheth ! ! Next Class: Lifetime Vincent Abejuela Cassandra Jensen Music: Astronomy – Metallica 2 x 2 page pdf articles due next Tues Drake Equation Frank That’s 2.7 intelligent systems/year Drake N = R* × fp × ne × fl × fi × fc × L # of # of Star Fraction of Fraction advanced Earthlike Fraction on Fraction that Lifetime of formation stars with that civilizations planets per which life evolve advanced rate planets commun- we can system arises intelligence civilizations icate contact in our Galaxy today 30 0.8 4 x 0.47 0.2 0.3 comm./ yrs/ stars/ systems/ = 1.88 life/ intel./ intel. comm. yr star planets/ planet life system • Requires civilization to undergo three steps: 1. A correct appreciation of the size and nature of the Worldview Universe 2. A realization of their place in the Universe 3. A belief that the odds for life are reasonable. The beings of Q’earth must have taken their Q’astro Intelligent ET Life must want to communicate with us 330 class and came up with a good number of communicable civilizations in the Q’drake This means they MUST equation. believe in the possibility of us (and other ET life) Requirements: ! 1) Understand size and scale of the cosmos ASTR 330 2) Realize their place in the cosmos 3) Believe the odds for life elsewhere are reasonable Alien 3 Our Worldview First worldview: Earth Centric Why? Natural observations imply we are stationary 4 • The Mayans computed the length of year to within a few Ancient Astronomy seconds (0.001%). -
Astro110-01 Lecture 7 the Copernican Revolution
Astro110-01 Lecture 7 The Copernican Revolution or the revolutionaries: Nicolas Copernicus (1473-1543) Tycho Brahe (1546-1601) Johannes Kepler (1571-1630) Galileo Galilei (1564-1642) Isaac Newton (1642-1727) who toppled Aristotle’s cosmos 2/2/09 Astro 110-01 Lecture 7 1 Recall: The Greek Geocentric Model of the heavenly spheres (around 400 BC) • Earth is a sphere that rests in the center • The Moon, Sun, and the planets each have their own spheres • The outermost sphere holds the stars • Most famous players: Aristotle and Plato 2/2/09 Aristotle Plato Astro 110-01 Lecture 7 2 But this made it difficult to explain the apparent retrograde motion of planets… Over a period of 10 weeks, Mars appears to stop, back up, then go forward again. Mars Retrograde Motion 2/2/09 Astro 110-01 Lecture 7 3 A way around the problem • Plato had decreed that in the heavens only circular motion was possible. • So, astronomers concocted the scheme of having the planets move in circles, called epicycles, that were themselves centered on other circles, called deferents • If an observation of a planet did not quite fit the existing system of deferents and epicycles, another epicycle could be added to improve the accuracy • This ancient system of astronomy was codified by the Alexandrian Greek astronomer Ptolemy (A.D. 100–170), in a book translated into Arabic and called Almagest. • Almagest remained the principal textbook of astronomy for 1400 years until Copernicus 2/2/09 Astro 110-01 Lecture 7 4 So how does the Ptolemaic model explain retrograde motion? Planets really do go backward in this model. -
1 the Equatorial Coordinate System
General Astronomy (29:61) Fall 2013 Lecture 3 Notes , August 30, 2013 1 The Equatorial Coordinate System We can define a coordinate system fixed with respect to the stars. Just like we can specify the latitude and longitude of a place on Earth, we can specify the coordinates of a star relative to a coordinate system fixed with respect to the stars. Look at Figure 1.5 of the textbook for a definition of this coordinate system. The Equatorial Coordinate System is similar in concept to longitude and latitude. • Right Ascension ! longitude. The symbol for Right Ascension is α. The units of Right Ascension are hours, minutes, and seconds, just like time • Declination ! latitude. The symbol for Declination is δ. Declination = 0◦ cor- responds to the Celestial Equator, δ = 90◦ corresponds to the North Celestial Pole. Let's look at the Equatorial Coordinates of some objects you should have seen last night. • Arcturus: RA= 14h16m, Dec= +19◦110 (see Appendix A) • Vega: RA= 18h37m, Dec= +38◦470 (see Appendix A) • Venus: RA= 13h02m, Dec= −6◦370 • Saturn: RA= 14h21m, Dec= −11◦410 −! Hand out SC1 charts. Find these objects on them. Now find the constellation of Orion, and read off the Right Ascension and Decli- nation of the middle star in the belt. Next week in lab, you will have the chance to use the computer program Stellar- ium to display the sky and find coordinates of objects (stars, planets). 1.1 Further Remarks on the Equatorial Coordinate System The Equatorial Coordinate System is fundamentally established by the rotation axis of the Earth.