ASTR 105 Intro Astronomy: the Solar System
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THUBAN the Star Thuban in the Constellation Draco (The Dragon) Was the North Pole Star Some 5,000 Years Ago, When the Egyptians Were Building the Pyramids
STAR OF THE WEEK: THUBAN The star Thuban in the constellation Draco (the Dragon) was the North Pole Star some 5,000 years ago, when the Egyptians were building the pyramids. Thuban is not a particularly bright star. At magnitude 3.7 and known as alpha draconis it is not even the brightest star in its constellation. What is Thuban’s connection with the pyramids of Egypt? Among the many mysteries surrounding Egypt’s pyramids are the so-called “air shafts” in the Great Pyramid of Giza. These narrow passageways were once thought to serve for ventilation as the The Great Pyramid of Giza, an enduring monument of ancient pyramids were being built. In the 1960s, though, Egypt. Egyptologists believe that it was built as a tomb for fourth dynasty Egyptian Pharaoh Khufu around 2560 BC the air shafts were recognized as being aligned with stars or areas of sky as the sky appeared for the pyramids’ builders 5,000 years ago. To this day, the purpose of all these passageways inside the Great Pyramid isn’t clear, although some might have been connected to rituals associated with the king’s ascension to the heavens. Whatever their purpose, the Great Pyramid of Giza reveals that its builders knew the starry skies intimately. They surely knew Thuban was their Pole Star, the point around which the heavens appeared to turn. Various sources claim that Thuban almost exactly pinpointed the position of the north celestial pole in the This diagram shows the so-called air shafts in the Great year 2787 B.C. -
Constructing a Galactic Coordinate System Based on Near-Infrared and Radio Catalogs
A&A 536, A102 (2011) Astronomy DOI: 10.1051/0004-6361/201116947 & c ESO 2011 Astrophysics Constructing a Galactic coordinate system based on near-infrared and radio catalogs J.-C. Liu1,2,Z.Zhu1,2, and B. Hu3,4 1 Department of astronomy, Nanjing University, Nanjing 210093, PR China e-mail: [jcliu;zhuzi]@nju.edu.cn 2 key Laboratory of Modern Astronomy and Astrophysics (Nanjing University), Ministry of Education, Nanjing 210093, PR China 3 Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, PR China 4 Graduate School of Chinese Academy of Sciences, Beijing 100049, PR China e-mail: [email protected] Received 24 March 2011 / Accepted 13 October 2011 ABSTRACT Context. The definition of the Galactic coordinate system was announced by the IAU Sub-Commission 33b on behalf of the IAU in 1958. An unrigorous transformation was adopted by the Hipparcos group to transform the Galactic coordinate system from the FK4-based B1950.0 system to the FK5-based J2000.0 system or to the International Celestial Reference System (ICRS). For more than 50 years, the definition of the Galactic coordinate system has remained unchanged from this IAU1958 version. On the basis of deep and all-sky catalogs, the position of the Galactic plane can be revised and updated definitions of the Galactic coordinate systems can be proposed. Aims. We re-determine the position of the Galactic plane based on modern large catalogs, such as the Two-Micron All-Sky Survey (2MASS) and the SPECFIND v2.0. This paper also aims to propose a possible definition of the optimal Galactic coordinate system by adopting the ICRS position of the Sgr A* at the Galactic center. -
Basic Principles of Celestial Navigation James A
Basic principles of celestial navigation James A. Van Allena) Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242 ͑Received 16 January 2004; accepted 10 June 2004͒ Celestial navigation is a technique for determining one’s geographic position by the observation of identified stars, identified planets, the Sun, and the Moon. This subject has a multitude of refinements which, although valuable to a professional navigator, tend to obscure the basic principles. I describe these principles, give an analytical solution of the classical two-star-sight problem without any dependence on prior knowledge of position, and include several examples. Some approximations and simplifications are made in the interest of clarity. © 2004 American Association of Physics Teachers. ͓DOI: 10.1119/1.1778391͔ I. INTRODUCTION longitude ⌳ is between 0° and 360°, although often it is convenient to take the longitude westward of the prime me- Celestial navigation is a technique for determining one’s ridian to be between 0° and Ϫ180°. The longitude of P also geographic position by the observation of identified stars, can be specified by the plane angle in the equatorial plane identified planets, the Sun, and the Moon. Its basic principles whose vertex is at O with one radial line through the point at are a combination of rudimentary astronomical knowledge 1–3 which the meridian through P intersects the equatorial plane and spherical trigonometry. and the other radial line through the point G at which the Anyone who has been on a ship that is remote from any prime meridian intersects the equatorial plane ͑see Fig. -
Dhruva the Ancient Indian Pole Star: Fixity, Rotation and Movement
Indian Journal of History of Science, 46.1 (2011) 23-39 DHRUVA THE ANCIENT INDIAN POLE STAR: FIXITY, ROTATION AND MOVEMENT R N IYENGAR* (Received 1 February 2010; revised 24 January 2011) Ancient historical layers of Hindu astronomy are explored in this paper with the help of the Purân.as and the Vedic texts. It is found that Dhruva as described in the Brahmân.d.a and the Vis.n.u purân.a was a star located at the tail of a celestial animal figure known as the Úiúumâra or the Dolphin. This constellation, which can be easily recognized as the modern Draco, is described vividly and accurately in the ancient texts. The body parts of the animal figure are made of fourteen stars, the last four of which including Dhruva on the tail are said to never set. The Taittirîya Âran.yaka text of the Kr.s.n.a-yajurveda school which is more ancient than the above Purân.as describes this constellation by the same name and lists fourteen stars the last among them being named Abhaya, equated with Dhruva, at the tail end of the figure. The accented Vedic text Ekâgni-kân.d.a of the same school recommends observation of Dhruva the fixed Pole Star during marriages. The above Vedic texts are more ancient than the Gr.hya-sûtra literature which was the basis for indologists to deny the existence of a fixed North Star during the Vedic period. However the various Purân.ic and Vedic textual evidence studied here for the first time, leads to the conclusion that in India for the Yajurvedic people Thuban (α-Draconis) was Dhruva the Pole Star c 2800 BC. -
The Sky Tonight
MARCH POUTŪ-TE-RANGI HIGHLIGHTS Conjunction of Saturn and the Moon A conjunction is when two astronomical objects appear close in the sky as seen THE- SKY TONIGHT- - from Earth. The planets, along with the TE AHUA O TE RAKI I TENEI PO Sun and the Moon, appear to travel across Brightest Stars our sky roughly following a path called the At this time of the year, we can see the ecliptic. Each body travels at its own speed, three brightest stars in the night sky. sometimes entering ‘retrograde’ where they The brightness of a star, as seen from seem to move backwards for a period of time Earth, is measured as its apparent (though the backwards motion is only from magnitude. Pictured on the cover is our vantage point, and in fact the planets Sirius, the brightest star in our night sky, are still orbiting the Sun normally). which is 8.6 light-years away. Sometimes these celestial bodies will cross With an apparent magnitude of −1.46, paths along the ecliptic line and occupy the this star can be found in the constellation same space in our sky, though they are still Canis Major, high in the northern sky. millions of kilometres away from each other. Sirius is actually a binary star system, consisting of Sirius A which is twice the On March 19, the Moon and Saturn will be size of the Sun, and a faint white dwarf in conjunction. While the unaided eye will companion named Sirius B. only see Saturn as a bright star-like object (Saturn is the eighth brightest object in our Sirius is almost twice as bright as the night sky), a telescope can offer a spectacular second brightest star in the night sky, view of the ringed planet close to our Moon. -
STUDENT PAGE CONSTELLATION/STAR Big Dipper/Polaris CROW the Seven Bulls BLACKFEET Fixed Star GREEK Ursa Minor JAPANESE the One S
STUDENT PAGE Astronomy Lesson 1: One Sky, Many Stories CONSTELLATION/STAR JAPANESE GREEK BLACKFEET CROW Big Dipper/Polaris The One Star Ursa Fixed The Seven & Big Dipper Minor Star Bulls 48 constellations in his famous book “Almagest”. These CONSTELLATIONS are called the “Ptolemaic constellations,” and most of them survive to this day. The history of the constellations is ancient; many were likely created by the Babylonian, Egyptian and Assyrian There are 88 official constellations recognized by the peoples. These constellations would have moved through International Astronomical Union. Only the official the regions via trade, and eventually they made their way boundaries of these constellations are determined; there into Greece, where they were assimilated into the culture is no official line drawing that makes up the shape of any and mythology. In the second century, Ptolemy organized constellation. Image courtesy wikihow ONE SKY, MANY STORIES 46 | ASTRONOMY STUDENT PAGE Astronomy Lesson 1: One Sky, Many Stories Image courtesy Wikipedia Star chart, Kitora Tomb, Asuka, Japan (7th century) In 1998, a star map was discovered in the Kitora Tomb Cultures all over the world have created star stories in the Asuka village in Japan. Dating back to the late based on constellations to pass traditions and knowledge seventh, early eighth century, this star chart is the oldest on to the next generation. Each culture had different existing map of its kind in the world. It features 68 names and stories for the Sun and Moon, visible planets, constellations and the movement of celestial objects is stars, and star groups. These stories are told at night and represented by the three concentric circles in the chart. -
Polaris — Vega — Centauri
PLEASE READ CAREFULLY AND KEEP THIS MANUAL FOR FUTURE REFERENCE Instruction Manual Product # 10-000 POLARIS — VEGA — CENTAURI Certified and tested according to CAN/ULC S627-00 UL 1482-2011 2020 U.S. Environmental Protection Agency's crib wood emission standard 490, rue de l'Argon Québec, CANADA G2N 2C9 Tél.: 418-849-8095 Fax : 418-849-0077 www.jaroby.com August 15 2017 Printed in Canada TABLE OF CONTENTS INTRODUCTION ...................................................................... 3 EXTERNAL COMBUSTION AIR SOURCE ............................ 22 LISTING AND CODE APPROVALS ......................................... 3 Exterior Air Intake pipe ....................................................... 22 Appliance certification .......................................................... 3 Installation of Air Intake Pipe ......................................... 22 Mobile home approved......................................................... 3 Air Inlet Obstruction ....................................................... 22 BTU & Efficiency Specifications ........................................... 3 STAINLESS STEEL TUBES REPLACEMENT ...................... 23 WARNING ................................................................................ 3 Stainless steel tubes Installation ........................................ 23 RATING PLATE ....................................................................... 4 How to install tubes ....................................................... 23 APPLIANCE DIMENSION ....................................................... -
Celestial Sphere, Solar Motion, Coordinates
Celestial Sphere, Solar Motion, Coordinates Lecture Outline -- 1 Reading: Astronomy Notes sections 3.1 through 3.5 Vocabulary terms used: celestial poles⎯points on celestial sphere directly above geographic poles. celestial equator⎯circle around the sky directly above the Earth’s equator. zenith⎯point on the celestial sphere that is always straight overhead. meridian⎯circle around the sky that goes through celestial poles and the zenith point. Separates the daytime motions of the Sun into “a.m.” and “p.m.”. solar day⎯time between successive meridian crossings of the Sun. Our clocks are based on this. ecliptic⎯the apparent yearly path of the Sun through the stars on the celestial sphere. It is the projection of the Earth’s orbit around the Sun onto the celestial sphere. vernal equinox⎯specific moment in the year (on March 21) when the Sun is directly on the celestial equator, moving north of the celestial equator. autumnal equinox⎯specific moment in the year (on September 22) when the Sun is directly on the celestial equator, moving south of the celestial equator. season⎯approximately three-month period bounded by an equinox and a solstice. solstice⎯specific moment in the year when the Sun is farthest away from the celestial equator. The summer solstice is when the Sun gets closest to zenith at noon (on June 21 for U.S.). The winter solstice is when the Sun gets closest to the horizon at noon (on December 21 for U.S.). latitude⎯used to specify position on the Earth, it is the number of degrees north or south of the Earth’s equator. -
Positional Astronomy Coordinate Systems
Positional Astronomy Observational Astronomy 2019 Part 2 Prof. S.C. Trager Coordinate systems We need to know where the astronomical objects we want to study are located in order to study them! We need a system (well, many systems!) to describe the positions of astronomical objects. The Celestial Sphere First we need the concept of the celestial sphere. It would be nice if we knew the distance to every object we’re interested in — but we don’t. And it’s actually unnecessary in order to observe them! The Celestial Sphere Instead, we assume that all astronomical sources are infinitely far away and live on the surface of a sphere at infinite distance. This is the celestial sphere. If we define a coordinate system on this sphere, we know where to point! Furthermore, stars (and galaxies) move with respect to each other. The motion normal to the line of sight — i.e., on the celestial sphere — is called proper motion (which we’ll return to shortly) Astronomical coordinate systems A bit of terminology: great circle: a circle on the surface of a sphere intercepting a plane that intersects the origin of the sphere i.e., any circle on the surface of a sphere that divides that sphere into two equal hemispheres Horizon coordinates A natural coordinate system for an Earth- bound observer is the “horizon” or “Alt-Az” coordinate system The great circle of the horizon projected on the celestial sphere is the equator of this system. Horizon coordinates Altitude (or elevation) is the angle from the horizon up to our object — the zenith, the point directly above the observer, is at +90º Horizon coordinates We need another coordinate: define a great circle perpendicular to the equator (horizon) passing through the zenith and, for convenience, due north This line of constant longitude is called a meridian Horizon coordinates The azimuth is the angle measured along the horizon from north towards east to the great circle that intercepts our object (star) and the zenith. -
The Relative Sizes of the Sun and Stars 25
The relative sizes of the sun and stars 25 Stars come in many sizes, but their true appearances are impossible to see without special telescopes. The image to the left was taken by the Hubble Space telescope and resolves the red supergiant star Betelgeuse so that its surface can be just barely seen. Follow the number clues below to compare the sizes of some other familiar stars! Problem 1 - The sun's diameter if 10 times the diameter of Jupiter. If Jupiter is 11 times larger than Earth, how much larger than Earth is the Sun? Problem 2 - Capella is three times larger than Regulus, and Regulus is twice as large as Sirius. How much larger is Capella than Sirius? Problem 3 - Vega is 3/2 the size of Sirius, and Sirius is 1/12 the size of Polaris. How much larger is Polaris than Vega? Problem 4 - Nunki is 1/10 the size of Rigel, and Rigel is 1/5 the size of Deneb. How large is Nunki compared to Deneb? Problem 5 - Deneb is 1/8 the size of VY Canis Majoris, and VY Canis Majoris is 504 times the size of Regulus. How large is Deneb compared to Regulus? Problem 6 - Aldebaran is 3 times the size of Capella, and Capella is twice the size of Polaris. How large is Aldebaran compared to Polaris? Problem 7 - Antares is half the size of Mu Cephi. If Mu Cephi is 28 times as large as Rigel, and Rigel is 50 times as large as Alpha Centauri, how large is Antares compared to Alpha Centauri? Problem 8 - The Sun is 1/4 the diameter of Regulus. -
The Celestial Sphere
The Celestial Sphere Useful References: • Smart, “Text-Book on Spherical Astronomy” (or similar) • “Astronomical Almanac” and “Astronomical Almanac’s Explanatory Supplement” (always definitive) • Lang, “Astrophysical Formulae” (for quick reference) • Allen “Astrophysical Quantities” (for quick reference) • Karttunen, “Fundamental Astronomy” (e-book version accessible from Penn State at http://www.springerlink.com/content/j5658r/ Numbers to Keep in Mind • 4 π (180 / π)2 = 41,253 deg2 on the sky • ~ 23.5° = obliquity of the ecliptic • 17h 45m, -29° = coordinates of Galactic Center • 12h 51m, +27° = coordinates of North Galactic Pole • 18h, +66°33’ = coordinates of North Ecliptic Pole Spherical Astronomy Geocentrically speaking, the Earth sits inside a celestial sphere containing fixed stars. We are therefore driven towards equations based on spherical coordinates. Rules for Spherical Astronomy • The shortest distance between two points on a sphere is a great circle. • The length of a (great circle) arc is proportional to the angle created by the two radial vectors defining the points. • The great-circle arc length between two points on a sphere is given by cos a = (cos b cos c) + (sin b sin c cos A) where the small letters are angles, and the capital letters are the arcs. (This is the fundamental equation of spherical trigonometry.) • Two other spherical triangle relations which can be derived from the fundamental equation are sin A sinB = and sin a cos B = cos b sin c – sin b cos c cos A sina sinb € Proof of Fundamental Equation • O is -
Chasing the Pole — Howard L. Cohen
Reprinted From AAC Newsletter FirstLight (2010 May/June) Chasing the Pole — Howard L. Cohen Polaris like supernal beacon burns, a pivot-gem amid our star-lit Dome ~ Charles Never Holmes (1916) ew star gazers often believe the North Star (Polaris) is brightest of all, even mistaking Venus for this best known star. More advanced star gazers soon learn dozens of Nnighttime gems appear brighter, forty-seven in fact. Polaris only shines at magnitude +2.0 and can even be difficult to see in light polluted skies. On the other hand, Sirius, brightest of all nighttime stars (at magnitude -1.4), shines twenty-five times brighter! Beginning star gazers also often believe this guidepost star faithfully defines the direction north. Although other stars staunchly circle the heavens during night’s darkness, many think this pole star remains steadfast in its position always marking a fixed point on the sky. Indeed, a popular and often used Shakespeare quote (from Julius Caesar) is in tune with this perception: “I am constant as the northern star, Of whose true-fix'd and resting quality There is no fellow in the firmament.” More advanced star gazers know better, that the “true-fix’d and resting quality”of the northern star is only an approximation. Not only does this north star slowly circle the northen heavenly pole (Fig. 1) but this famous star is also not quite constant in light, slightly varying about 0.03 magnitudes. Polaris, in fact, is the brightest appearing Cepheid variable, a type of pulsating star. Still, Polaris is a good marker of the north cardinal point.